JP2005190166A - Motion simulation device and program - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide a motion simulation device that enables visual learning of the motion state of an object. <P>SOLUTION: According to video data computed by a CPU, video representing motion state of an object T1 and object T3 is displayed on a motion simulation screen W1. The object T1 is moved straight toward the object T3. When the object T1 collides (contacts) with the object T3, the CPU computes a physical quantity and moving direction of each object, and displays the computed physical quantities L1 and L3 and arrows V1 and V3 representing the moving directions on the motion simulation screen W1. The displayed physical quantities L1 and L3 and arrows V1 and V3 are then erased from the motion simulation screen W1, and the object T1 and object T3 are moved in the directions by the arrows V1 and V3. <P>COPYRIGHT: (C)2005,JPO&NCIPI

Description

  The present invention relates to a motion simulation apparatus and a program for controlling display of a motion of a plurality of objects as a moving image of a display body corresponding to each object.

  A graph scientific calculator having a function of inputting a mathematical formula or the like and displaying a graph or a graphic is known. Graph scientific calculators are used in various learning situations such as mathematics, mathematics classes, and personal learning. For example, in a class that studies statistical processing of data, a student inputs measurement data into a graph function calculator and performs aggregation processing, and further causes the graph function calculator to perform graphing processing and regression processing based on measurement data. It is used in the place of learning.

  One function of the graph scientific calculator is a motion simulation function. The motion simulation function is a function that displays the movement of an object with a virtual display body, performs various mechanical calculations from input character expressions and vectors, and displays the movement state of the display body based on the calculation results. It is.

This motion simulation function is utilized in physics classes and the like. For example, according to Patent Document 1, a change in the amount of movement of an object per unit time is calculated from a character expression that represents an input physical quantity (for example, horizontal speed, gravitational acceleration, etc.), and the object is based on the calculation result. There is known a motion simulation function for displaying a trajectory representing the moving direction.
JP 2000-163381 A

  In various learning situations, it is important to study according to the guidelines of the learning unit, and it is not possible to use them effectively in the learning scene unless they are used and functioned according to the guidelines of the learning unit. . For example, in mechanics learning, the point of learning is to capture changes in physical quantities over time, such as how the physical quantities (for example, energy and impulses) of an object change as the object moves. It becomes.

  However, the conventional motion simulation function as disclosed in Patent Document 1 merely displays a trajectory or displays a physical quantity at a certain time as a still image, and changes in physical quantity accompanying the motion of an object. It was difficult to learn how.

  The present invention has been made in view of the above-described problems, and an object of the present invention is to realize a motion simulation device that can express the motion state of an object in a visually easy-to-understand manner and facilitate the learning. It is to be.

In order to solve the above problems, the motion simulation apparatus according to claim 1 is:
Input means (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2) for inputting motion initial information (for example, object initial information) of a moving object (for example, objects T1 and T3 in FIG. 5A) Unit 38; step A5) of FIG.
Moving image data calculating means (for example, CPU 32 in FIG. 2; step A11 in FIG. 4) for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Moving image display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step A13 in FIG. 4) for controlling the moving image display based on the moving image data calculated by the moving image data calculating means;
Detecting means (for example, CPU 32 in FIG. 2; step A15 in FIG. 4) for detecting a change in the motion state of the object during the moving image display by the moving image display control means;
When it is detected by the detection means that the motion state has changed, motion vectors (for example, arrows V1 and V3 in FIG. 5D) representing the motion state at the time of the change are displayed on the moving image being displayed. Vector display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2; the display unit 46; step A17 in FIG. 4);
It is characterized by having.

The program according to claim 12 is:
On the computer,
An input function (for example, the operation input key 5 in FIG. 1; the CPU 32 in FIG. 2) and an input function for inputting initial motion information (for example, initial object information) of a moving object (for example, the objects T1 and T3 in FIG. 5A). Unit 38; step A5) of FIG.
A moving image data calculation function (for example, CPU 32 in FIG. 2; step A11 in FIG. 4) that calculates moving image data representing a state in which the object moves based on the initial movement information input by the input function;
A moving image display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step A13 in FIG. 4) for controlling the moving image display by the moving image data calculated by the moving image data calculation function;
A detection function (for example, CPU 32 in FIG. 2; step A15 in FIG. 4) for detecting a change in the motion state of the object during the video display by the video display control function;
When the motion state is detected to be changed by this detection function, motion vectors (for example, arrows V1 and V3 in FIG. 5D) representing the motion state at the time of change are displayed on the moving image being displayed. A vector display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2; the display unit 46; step A17 in FIG. 4);
It is characterized by realizing.

  According to the invention described in claim 1 or 12, the object motion is simulated based on the initial motion information. When the motion state of the object to be simulated changes, a motion vector representing the motion state of the object at the time of the change is displayed. Thereby, the user can know that the motion state of the object has changed according to the displayed motion vector. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn the change in the motion state.

The motion simulation apparatus according to claim 2 comprises:
Input means (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38; step in FIG. 7) for inputting the initial motion information of the moving object (for example, the objects T21 and T23 in FIG. 8A) A5)
Moving image data calculating means (for example, CPU 32 in FIG. 2; step B11 in FIG. 7) that calculates moving image data representing a state in which the object moves based on the initial movement information input by the input means;
Moving image display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step A13 in FIG. 7) for controlling the moving image display by the moving image data calculated by the moving image data calculating means;
Detecting means (for example, CPU 32 in FIG. 2; step A15 in FIG. 7) for detecting a change in the motion state of the object during the moving image display by the moving image display control means;
Display form control means (for example, CPU 32 in FIG. 2; step B17 in FIG. 7) for changing the display form of the object being displayed in accordance with the change in the motion state detected by the detection means;
It is characterized by having.

The program according to claim 13 is:
On the computer,
Input function (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38; step in FIG. 7) for inputting initial motion information of a moving object (for example, objects T21 and T23 in FIG. 8A) A5)
A moving image data calculation function (for example, CPU 32 in FIG. 2; step B11 in FIG. 7) that calculates moving image data representing a state in which the object moves based on the initial movement information input by the input function;
A moving image display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step A13 in FIG. 7) for controlling the moving image display based on the moving image data calculated by the moving image data calculation function;
A detection function (for example, CPU 32 in FIG. 2; step A15 in FIG. 7) for detecting a change in the motion state of the object during the video display by the video display control function;
A display form control function (for example, CPU 32 in FIG. 2; step B17 in FIG. 7) for changing the display form of the object being displayed in accordance with the change in the motion state detected by the detection function;
It is characterized by realizing.

  According to the invention described in claim 2 or 13, the simulation of the object motion is performed based on the initial motion information. When the motion state of the object to be simulated is changed, the display form of the object is changed in accordance with the change of the motion state. Thereby, the user can know that the motion state of the object has changed due to the change in the display form of the object. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn the change in the motion state.

The motion simulation apparatus according to claim 3 is provided.
Input means (for example, the operation input key 5 in FIG. 1; the CPU 32 in FIG. 2, the input unit 38; step A5 in FIG. 10) for inputting the initial motion information of the moving object (for example, the object T31 in FIG. 11A) When,
Moving image data calculating means (for example, CPU 32 in FIG. 2; step A11 in FIG. 10) for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Moving image display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step A13 in FIG. 10) for controlling the moving image based on the moving image data calculated by the moving image data calculating means to be displayed on the display screen. When,
Position specifying means for specifying a position in the display screen (for example, the operation input key 5 in FIG. 1; the CPU 32 in FIG. 2, the input unit 38; step C8-1 in FIG. 10);
Position determining means (for example, CPU 32 in FIG. 2; step C15 in FIG. 10) for determining whether or not the object has reached the position specified by the position specifying means during the moving image display by the moving image display control means; ,
When it is determined that the position has been reached by the position determination means, a motion vector representing the motion state of the object at the determined time is calculated, and the calculated motion vector (for example, arrows V31 and V33 in FIG. 11D). Vector display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step C17 in FIG. 10) for controlling the display on the display screen;
It is characterized by having.

The program according to claim 14 is:
On the computer,
Input function (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38; step A5 in FIG. 10) for inputting initial motion information of a moving object (for example, the object T31 in FIG. 11A) When,
A moving image data calculation function (for example, CPU 32 in FIG. 2; step A11 in FIG. 10) that calculates moving image data representing a state in which the object moves based on the initial motion information input by the input function;
A moving image display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step A13 in FIG. 10) for performing control to display a moving image based on the moving image data calculated by the moving image data calculation function on the display screen. When,
A position designation function for designating a position in the display screen (for example, the operation input key 5 in FIG. 1; the CPU 32 in FIG. 2, the input unit 38; step C8-1 in FIG. 10);
A position determination function (for example, CPU 32 in FIG. 2; step C15 in FIG. 10) for determining whether or not the object has reached the position specified by the position specification function during the moving image display by the moving image display control function; ,
When it is determined that the position has been reached by the position determination function, a motion vector representing the motion state of the object at the determined time is calculated, and the calculated motion vector (for example, arrows V31 and V33 in FIG. 11D). A vector display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step C17 in FIG. 10) for controlling the display on the display screen;
It is characterized by realizing.

  According to the invention described in claim 3 or 14, when the object in the moving image display reaches the designated position, a motion vector representing the motion state of the object at the time of arrival is displayed. Thereby, the user can know the motion state of the object at a desired position in the moving image screen. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and easily learn the motion state at a desired position.

Invention of Claim 4 is the exercise | movement simulation apparatus of Claim 3, Comprising:
The position specifying means has range specifying means (for example, the operation input key 5 in FIG. 1; the CPU 32 in FIG. 2, the input unit 38; step D8-1 in FIG. 13) for specifying a range in the display screen. ,
The position determining means has range determining means (for example, CPU 32 in FIG. 2; step D15 in FIG. 13) for determining whether or not the object is located within the range specified by the range specifying means,
The vector display control unit calculates a motion vector representing a motion state of the object when the range determination unit determines that the position is within the range, and calculates the calculated motion vector (for example, an arrow in FIG. 14D). V41, V43) is provided with in-range display control means (for example, display 3 in FIG. 1; CPU 32 in FIG. 2, display unit 46; step D17 in FIG. 13) for performing control to display on the display screen. Yes.

  The invention described in claim 4 can of course obtain the same effect as that of the invention described in claim 3, and represents the motion state of the object when the object is located within the specified range in the display screen. The vector is displayed. Thereby, the user can know the motion state of the object within a desired range in the moving image screen. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn the motion state in a desired range.

The motion simulation device according to claim 5 is:
Input means (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38; step in FIG. 16) for inputting initial motion information of a moving object (for example, objects T51 and T53 in FIG. 17A) A5)
Moving image data calculating means (for example, CPU 32 in FIG. 2; step E11 in FIG. 16) for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Moving image display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step E11 in FIG. 16) for controlling the moving image display based on the moving image data calculated by the moving image data calculating means;
Detection means (for example, CPU 32 in FIG. 2; step E13 in FIG. 16) for detecting a predetermined copy operation for moving image display by the moving image display control means;
When a copy operation is detected by this detection means, the physical quantity per unit time of the object being displayed on the moving image is calculated and displayed in a table format (for example, spreadsheet S53 in FIG. 17C), and Physical quantity display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46 in FIG. 16) for performing a special display (for example, the cell 55 in FIG. 17C) of the detected physical quantity. Steps E8-2, E19 to E25),
It is characterized by having.

The program according to claim 15 is:
On the computer,
Input function (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38; step in FIG. 16) for inputting initial motion information of a moving object (for example, objects T51 and T53 in FIG. 17A) A5)
A moving image data calculation function (for example, CPU 32 in FIG. 2; step E11 in FIG. 16) that calculates moving image data representing a state in which the object moves based on the initial movement information input by the input function;
A moving image display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step E11 in FIG. 16) for controlling the moving image display by the moving image data calculated by the moving image data calculation function;
A detection function (for example, the CPU 32 in FIG. 2; step E13 in FIG. 16) for detecting a predetermined copy operation for moving image display by the moving image display control function;
When a copy operation is detected by this detection function, a physical quantity per unit time of the object being displayed on the moving image is calculated and displayed in a table format (for example, spreadsheet S53 in FIG. 17C), and A physical quantity display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46 in FIG. 16) for performing a special display (for example, the cell 55 in FIG. 17C) of the detected physical quantity. Steps E8-2, E19 to E25),
It is characterized by realizing.

  According to the invention described in claim 5 or 15, when a predetermined copy operation is performed on the moving image display, the physical quantity per unit time of the moving object is calculated, and the calculated physical quantity is displayed in a table format. . In addition, the physical quantity at the time when the copy operation is performed is specially displayed. Thereby, the user can confirm the change with time of the physical quantity of the object by the physical quantity displayed in the table format. Further, the physical quantity at the time when the copy operation is performed can be confirmed by a special display. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn a change in physical quantity over time.

The invention according to claim 6 is the motion simulation apparatus according to claim 5,
The physical quantity display control means calculates a motion direction of the object per unit time, and performs a control to display a direction identifier (eg, arrow V61, point M61 in FIG. 20) indicating the calculated motion direction. Control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; steps F21 to F23 in FIG. 19) are provided.

  According to the sixth aspect of the present invention, the same effect as that of the fifth aspect of the invention can be obtained. The movement direction of the moving object per unit time is calculated, and the calculated movement direction. Is displayed together with the physical quantity in a tabular format. Thereby, the user can know the change of the physical quantity of the object in more detail by the physical quantity and the moving direction displayed in the table format. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn a change in physical quantity over time.

The motion simulation device according to claim 7,
Input means (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38, step in FIG. 22) for inputting initial motion information of a moving object (for example, objects T71 and T73 in FIG. 23A) A5)
Moving image data calculating means (for example, CPU 32 in FIG. 2; step A11 in FIG. 22) for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Moving image display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step A13 in FIG. 22) for controlling the moving image display based on the moving image data calculated by the moving image data calculating means;
A motion vector representing the motion state of the object during the motion image display by the motion image display control means is calculated, and the calculated motion vector is attached to the still image of the object (for example, windows W71 and W73 in FIG. 23A). In this way, the still image interlocking display control means (for example, the display 3 in FIG. 1; FIG. 1) performs control for changing and displaying the motion vector attached to the still image in conjunction with the moving image display. 2 CPU 32, display unit 46; step G15 in FIG.
It is characterized by having.

Moreover, the program according to claim 16 is:
On the computer,
Input function (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38, step in FIG. 22) for inputting initial motion information of a moving object (for example, objects T71 and T73 in FIG. 23A) A5)
A moving image data calculation function (for example, CPU 32 in FIG. 2; step A11 in FIG. 22) that calculates moving image data representing a state in which the object moves based on the initial movement information input by the input function;
A moving image display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step A13 in FIG. 22) for controlling the moving image display based on the moving image data calculated by the moving image data calculation function;
A motion vector representing the motion state of the object during motion image display by the motion image display control function is calculated, and the calculated motion vector is attached to the still image of the object (for example, windows W71 and W73 in FIG. 23A). In this way, a still image interlocking display control function (for example, the display 3 in FIG. 1; FIG. 1) that performs control to change and display the form of the motion vector attached to the still image in conjunction with the moving image display. 2 CPU 32, display unit 46; step G15 in FIG.
It is characterized by realizing.

  According to the seventh or sixteenth aspect, the motion vector representing the calculated motion state of the object is attached to the still image of the object and displayed in conjunction with the moving image. Thereby, the user can confirm the motion state of the object by the motion vector in the displayed still image. In addition, since it is displayed separately from the motion of the object, a change in the motion state of the object can be visually recognized more easily. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of the object and learn easily the change in the motion state of the object.

The motion simulation apparatus according to claim 8,
Input means (for example, the operation input key 5 in FIG. 1; the CPU 32 in FIG. 2, the input unit 38; the step in FIG. 25) for inputting the initial motion information of the moving object (for example, the objects T1 and T3 in FIG. 26A). A5)
Moving image data calculating means (for example, CPU 32 in FIG. 2; step A11 in FIG. 25) for calculating moving image data representing a state in which the object moves based on the initial movement information input by the input means;
Moving image display control means (for example, display 3 in FIG. 1; CPU 32 in FIG. 2, display unit 46; step H15 in FIG. 25) for controlling moving image display based on the moving image data calculated by the moving image data calculating means;
Temporary stop means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step H17 in FIG. 25) for temporarily stopping the moving picture display by the moving picture display control means;
Input means (for example, the input pen 9; the CPU 32 in FIG. 2, the input unit 38; step H19 in FIG. 25) for inputting the predicted motion direction of the object at the time when the object is temporarily stopped by the temporary stop means;
Determination means (for example, CPU 32 in FIG. 2) that calculates the motion direction of the object at the time when the object is temporarily stopped by the temporary stop means and determines whether or not it matches the expected motion direction input by the input means. 25 step H21),
When the determination means determines that they match, the moving image restarting means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; in FIG. 25) resumes the video display paused by the temporary stopping means. Steps H21 to H15)
It is characterized by having.

The program according to claim 17 is:
On the computer,
Input function (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38; step in FIG. 25) for inputting initial motion information of a moving object (for example, the objects T1 and T3 in FIG. 26A) A5)
A moving image data calculation function (for example, CPU 32 in FIG. 2; step A11 in FIG. 25) for calculating moving image data representing the movement of the object based on the initial movement information input by the input function;
A moving image display control function (for example, display 3 in FIG. 1; CPU 32 in FIG. 2, display unit 46; step H15 in FIG. 25) for controlling moving image display based on the moving image data calculated by the moving image data calculation function;
A pause function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step H17 in FIG. 25) that pauses the movie display by the movie display control function;
An input function (for example, the input pen 9; the CPU 32 in FIG. 2; the input unit 38; step H19 in FIG. 25) for inputting the predicted motion direction of the object at the time when the object is paused by the pause function;
A determination function (for example, the CPU 32 of FIG. 2; FIG. 2) that calculates the movement direction of the object at the time when the object is temporarily stopped by the temporary stop function and determines whether or not it matches the expected movement direction input by the input function. 25 step H21),
When it is determined by the determination function that they match, the moving image resumption function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; Steps H21 to H15)
It is characterized by realizing.

  According to the eighth or seventeenth aspect of the present invention, when the moving image display is temporarily stopped, the predicted motion direction of the object is input. Then, the motion direction of the object at the time of the pause is calculated, and when the input predicted motion direction matches the calculated motion direction, the display of the paused moving image is resumed. Thereby, the user can know whether or not the input motion direction is correct by resuming the motion image display by inputting a desired motion direction in a state where the motion image is paused. Therefore, it is possible to realize a motion simulation device that visually grasps the motion state of an object and is convenient for learning the motion state.

The motion simulation apparatus according to claim 9 is provided.
Input means (for example, the operation input key 5 in FIG. 1; the CPU 32 in FIG. 2, the input unit 38; FIG. 28) for inputting the initial motion information of a plurality of moving objects (for example, the objects T1 and T3 in FIG. 29A). Step A5),
Moving image data calculating means (for example, CPU 32 in FIG. 2; step A11 in FIG. 28) for calculating moving image data representing a state in which the plurality of objects move based on the initial movement information input by the input means;
Moving image display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step K13 in FIG. 28) for controlling the moving image display by the moving image data calculated by the moving image data calculating means;
Selection means for selecting any one of the plurality of objects (for example, the CPU 32 in FIG. 2, the input unit 38; the step K8-1 in FIG. 28; the object selection screen W91 in FIG. 29B);
An object that has not been selected by the selection means is hidden, and a selected object moving image display control means (for example, FIG. 1) that performs control to display a moving image by the selected object (for example, the object T3 in FIG. 29C). Display 3; CPU 32 in FIG. 2, display unit 46; Step K13 in FIG. 28;
It is characterized by having.

Moreover, the program according to claim 18 is:
On the computer,
Input function (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38; FIG. 28) for inputting initial motion information of a plurality of moving objects (for example, objects T1 and T3 in FIG. 29A). Step A5),
A moving image data calculation function (for example, CPU 32 in FIG. 2; step A11 in FIG. 28) that calculates moving image data representing a state in which the plurality of objects move based on the initial movement information input by the input function;
A moving image display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step K13 in FIG. 28) for controlling the moving image display based on the moving image data calculated by the moving image data calculation function;
A selection function (for example, CPU 32 in FIG. 2, input unit 38; step K8-1 in FIG. 28; object selection screen W91 in FIG. 29B) for selecting any one of the plurality of objects;
An object that has not been selected by this selection function is hidden, and a selected object moving image display control function (for example, FIG. 1) that performs control to display a moving image by the selected object (for example, the object T3 in FIG. 29C). Display 3; CPU 32 in FIG. 2, display unit 46; Step K13 in FIG. 28;
It is characterized by realizing.

  According to the invention described in claim 9 or 18, when any object is selected from a plurality of objects, a moving image in which only the selected object moves is displayed. Thereby, the user can learn paying attention to the motion state of the object by the moving image in which only the selected object is displayed. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and easily learn the motion state of a desired object.

The motion simulation apparatus according to claim 10,
Input means (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2; input unit 38; step in FIG. 31) for inputting initial motion information of a moving object (for example, objects T101 and T103 in FIG. 32A) A5)
Moving image data calculating means (for example, CPU 32 in FIG. 2; step A11 in FIG. 31) for calculating moving image data representing a state in which the object moves based on the initial movement information input by the input means;
Moving image display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step M19 in FIG. 31) for controlling moving image display based on the moving image data calculated by the moving image data calculating means;
A motion vector representing the motion state of the object during the moving image display by the moving image display control means is calculated, and the calculated motion vector (for example, arrow V101 in FIG. 32 (b)) is attached to display the moving image of the object. Vector display display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step M19 in FIG. 31 in the vector mode);
Trajectory display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2; the display unit) that gradually displays the motion trajectory of the object (for example, the trajectory lines L101 and L103 in FIG. 32C) according to the motion. 46; Step M19 in FIG. 31 in the trajectory mode;
It is characterized by having.

The program according to claim 19 is
On the computer,
Input function (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2; input unit 38; step in FIG. 31) for inputting initial motion information of a moving object (for example, the objects T101 and T103 in FIG. 32A) A5)
A moving image data calculation function (for example, CPU 32 in FIG. 2; step A11 in FIG. 31) for calculating moving image data representing a state in which the object moves based on the initial movement information input by the input function;
A moving image display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step M19 in FIG. 31) for controlling the moving image display based on the moving image data calculated by the moving image data calculation function;
A motion vector representing the motion state of the object during the moving image display by the moving image display control function is calculated, and the calculated motion vector (for example, arrow V101 in FIG. 32B) is attached to display the moving image of the object. A vector addition display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step M19 in FIG. 31 in the vector mode);
Trajectory display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit) that gradually displays a moving image of the trajectory of the object (for example, the trajectory lines L101 and L103 in FIG. 32C) according to the motion. 46; Step M19 in FIG. 31 in the trajectory mode;
It is characterized by realizing.

  According to the invention of claim 10 or 19, a moving image in which an object moves, a moving image in which a moving vector indicating a moving state of the moving object is attached to a moving object, and a moving image in which a movement locus of the object is displayed. Is displayed. Thereby, the user can select and display a desired moving image from the three moving images in accordance with the purpose of learning. Accordingly, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and learn the motion state suitable for the purpose of learning.

The motion simulation apparatus according to claim 11 is provided.
Input means (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38; step A5 in FIG. 34) for inputting initial motion information of a moving object (for example, object T110 in FIG. 35A) When,
Moving image data calculating means (for example, the CPU 32 in FIG. 2; step A11 in FIG. 34) for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Moving image display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step N15 in FIG. 34) for controlling the moving image display based on the moving image data calculated by the moving image data calculating means;
Detecting means (for example, CPU 32 in FIG. 2; step N23 in FIG. 34) for detecting a change in the physical quantity of the object during the moving image display by the moving image display control means;
When the detection unit detects that the physical quantity has changed, the recording unit records the physical quantity in association with the time when the change was detected (for example, the physical data storage table 380 at the time of change in FIG. 33; FIG. 34). Step N25),
Change physical quantity display control means (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; FIG. 2) for controlling the display of the physical quantity (for example, the physical quantity data L118 in FIG. 35E) recorded by the recording means. 34 step N33),
It is characterized by having.

The program according to claim 20 is
On the computer,
Input function (for example, operation input key 5 in FIG. 1; CPU 32 in FIG. 2, input unit 38; step A5 in FIG. 34) for inputting initial motion information of a moving object (for example, object T110 in FIG. 35A) When,
A moving image data calculation function (for example, CPU 32 in FIG. 2; step A11 in FIG. 34) for calculating moving image data representing a state in which the object moves based on the initial movement information input by the input function;
A moving image display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; step N15 in FIG. 34) for controlling the moving image display based on the moving image data calculated by the moving image data calculation function;
A detection function (for example, the CPU 32 in FIG. 2; step N23 in FIG. 34) for detecting a change in the physical quantity of the object during the video display by the video display control function;
When it is detected by the detection function that the physical quantity has changed, a recording function that records the physical quantity in association with the time at which the change was detected (for example, the physical data storage table 380 at the time of change in FIG. 33; FIG. 34). Step N25),
Change physical quantity display control function (for example, the display 3 in FIG. 1; the CPU 32 in FIG. 2, the display unit 46; FIG. 5) for controlling the display of the physical quantity (for example, the physical quantity data L118 in FIG. 35E) recorded by this recording function. 34 step N33),
It is characterized by realizing.

  According to the eleventh or twentieth aspect of the present invention, when a change in a physical quantity of an object displayed in a moving image is detected, the physical quantity is recorded in association with the changed time. The recorded physical quantity is read and displayed. Thereby, after the display of the moving image is completed, the recorded physical quantity is displayed, so that the user can collectively check changes in the physical quantity that are characteristic of the motion state of the object. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn a change in physical quantity.

  According to the invention described in claim 1 or 12, the object motion is simulated based on the initial motion information. When the motion state of the object to be simulated changes, a motion vector representing the motion state of the object at the time of the change is displayed. Thereby, the user can know that the motion state of the object has changed according to the displayed motion vector. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn the change in the motion state.

  According to the invention described in claim 2 or 13, the simulation of the object motion is performed based on the initial motion information. When the motion state of the object to be simulated is changed, the display form of the object is changed in accordance with the change of the motion state. Thereby, the user can know that the motion state of the object has changed due to the change in the display form of the object. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn the change in the motion state.

  According to the invention described in claim 3 or 14, when the object in the moving image display reaches the designated position, a motion vector representing the motion state of the object at the time of arrival is displayed. Thereby, the user can know the motion state of the object at a desired position in the moving image screen. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and easily learn the motion state at a desired position.

  According to the fourth aspect of the present invention, when an object is located within a specified range on the display screen, a vector representing the motion state of the object is displayed. Thereby, the user can know the motion state of the object within a desired range in the moving image screen. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn the motion state in a desired range.

  According to the invention described in claim 5 or 15, when a predetermined copy operation is performed on the moving image display, the physical quantity per unit time of the moving object is calculated, and the calculated physical quantity is displayed in a table format. . In addition, the physical quantity at the time when the copy operation is performed is specially displayed. Thereby, the user can confirm the change with time of the physical quantity of the object by the physical quantity displayed in the table format. Further, the physical quantity at the time when the copy operation is performed can be confirmed by a special display. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn a change in physical quantity over time.

  According to the sixth aspect of the present invention, the movement direction of the moving object per unit time is calculated, and the direction identifier representing the calculated movement direction is displayed in a table format together with the physical quantity. Thereby, the user can know the change of the physical quantity of the object in more detail by the physical quantity and the moving direction displayed in the table format. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn a change in physical quantity over time.

  According to the seventh or sixteenth aspect, the motion vector representing the calculated motion state of the object is attached to the still image of the object and displayed in conjunction with the moving image. Thereby, the user can confirm the motion state of the object by the motion vector in the displayed still image. In addition, since it is displayed separately from the motion of the object, a change in the motion state of the object can be visually recognized more easily. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of the object and learn easily the change in the motion state of the object.

  According to the eighth or seventeenth aspect of the present invention, when the moving image display is temporarily stopped, the predicted motion direction of the object is input. Then, the motion direction of the object at the time of the pause is calculated, and when the input predicted motion direction matches the calculated motion direction, the display of the paused moving image is resumed. Thereby, the user can know whether or not the input motion direction is correct by resuming the motion image display by inputting a desired motion direction in a state where the motion image is paused. Therefore, it is possible to realize a motion simulation device that visually grasps the motion state of an object and is convenient for learning the motion state.

  According to the invention described in claim 9 or 18, when any object is selected from a plurality of objects, a moving image in which only the selected object moves is displayed. Thereby, the user can learn paying attention to the motion state of the object by the moving image in which only the selected object is displayed. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and easily learn the motion state of a desired object.

  According to the invention of claim 10 or 19, a moving image in which an object moves, a moving image in which a moving vector indicating a moving state of the moving object is attached to a moving object, and a moving image in which a movement locus of the object is displayed. Is displayed. Thereby, the user can select and display a desired moving image from the three moving images in accordance with the purpose of learning. Accordingly, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and learn the motion state suitable for the purpose of learning.

  According to the eleventh or twentieth aspect of the present invention, when a change in a physical quantity of an object displayed in a moving image is detected, the physical quantity is recorded in association with the changed time. The recorded physical quantity is read and displayed. Thereby, after the display of the moving image is completed, the recorded physical quantity is displayed, so that the user can collectively check changes in the physical quantity that are characteristic of the motion state of the object. Therefore, it is possible to realize a motion simulation apparatus that can visually grasp the motion state of an object and can easily learn a change in physical quantity.

  Hereinafter, the best mode for carrying out the present invention will be described with reference to FIGS. 1 to 35 in which the present invention is applied to a graph scientific calculator which is a kind of motion simulation apparatus.

  FIG. 1 is an overview diagram of a graph scientific calculator 1. As shown in the figure, the graph scientific calculator 1 has a display 3 for displaying input numerical values and graphs, operation input keys 5 for inputting numerical values, functions, and arithmetic operations, and cursor keys for scrolling and selecting screens. 7, an input pen 9 for inputting data to a tablet (touch panel) configured integrally with the display 3, and a slot 11 for a storage medium 11 a. The storage medium 11a is a storage medium that stores functional expression data, calculation results, and the like.

  The display 3 is a part for displaying various data necessary for using the graph scientific calculator 1 such as characters and signs in response to pressing of the operation input key 5 and the like, graph display and exercise simulation display, and the characters are indicated by dots. Or a figure is displayed. The display 3 is an element such as an LCD (Liquid Crystal Display) or an ELD (Electronic Luminescent Display), and is realized by a combination of one or more elements. Further, a tablet (touch panel) is integrally formed on the display 3 so that a contact operation by the input pen 9 can be detected.

  Further, the graph scientific calculator 1 includes a slot 11 for the storage medium 11a. The storage medium 11a is a storage medium that stores functional formula data, calculation results, and the like, and is, for example, a memory card, a hard disk, or the like. The slot 11 is a device in which the storage medium 11a is detachably mounted and data can be read from and written to the storage medium 11a, and is appropriately selected according to the type of the storage medium 11a.

  FIG. 2 is a block diagram showing the configuration of the graph scientific calculator 1. As shown in the figure, the graph scientific calculator 1 includes a CPU (Central Processing Unit) 32, a RAM (Random Access Memory) 34, a ROM (Read Only Memory) 36, an input unit 38, a position detection circuit 40, a tablet 42, and a display. The drive circuit 44, the display unit 46, and the storage medium reading unit 48 are configured.

  The CPU 32 executes processing based on a predetermined program in accordance with an input instruction, and inputs / outputs instructions to each functional unit and data. Specifically, the CPU 32 reads a program stored in the ROM 36 in accordance with an operation signal input from the input unit 38, and executes processing according to the program. Then, a display control signal for displaying the processing result is output to the display drive circuit 44 as appropriate, and display information corresponding to the display control signal is displayed on the display unit 46.

  The RAM 34 is a storage area that temporarily holds various programs executed by the CPU 32 and data related to the execution of these programs. The ROM 36 stores various programs related to the operation of the graph scientific calculator 1 such as various setting processes and various arithmetic processes, programs for realizing various functions of the graph scientific calculator 1, and the like.

  The input unit 38 is a means for inputting a numerical value, an execution instruction for arithmetic processing, and the like, and outputs a key pressing signal pressed by the user to the CPU 32. The input unit 38 corresponds to the operation input key 5 and the cursor key 7 shown in FIG.

  The graph scientific calculator 1 includes a tablet (touch panel) 42 as an input device. The tablet 42 detects the position (contact) on the display area of the display unit 46 by the input pen 9 that indicates the position in the display area of the display unit 46, and the position of the display area in contact with the tablet 42. It is a device that outputs a signal according to.

  The position detection circuit 40 connected to the tablet 42 detects the designated position coordinates on the display unit 46 based on a signal input from the tablet 42. If this tablet 42 is used, the position in the display area of the display part 46 can be designated directly. In particular, by bringing the input pen 9 into contact with the tablet 42, operations such as tap-in, tap-out, drag, and drop can be realized.

  Here, tap-in, tap-out, drag, and drop are operations and consents in a general window system, and tap-in refers to an operation of bringing the input pen 9 into contact with the display area of the display unit 46. The tap-out refers to an operation of releasing the input pen 9 from the display area of the display unit 46 after being brought into contact. The drag means an operation of sliding the input pen 9 on the display area of the display unit 46 in order to move the object displayed on the display unit 46, and the drop is a tap-out after dragging. Say the operation.

  The display drive circuit 44 controls the display unit 46 based on a display signal input from the CPU 32 to display various screens. The display unit 46 is configured by an LCD, an ELD, or the like. The display unit 46 corresponds to the display 3 shown in FIG. 1 and is formed integrally with the tablet 42.

  The storage medium reading unit 48 is a functional unit that reads / writes data from / to a storage medium 48a such as a memory card or a hard disk. In FIG. 1, the storage medium reading unit 48 and the storage medium 48a correspond to the slot 11 and the storage medium 11a, respectively.

Embodiment 1
First, Embodiment 1 of the graph scientific calculator 1 to which the present invention is applied will be described.
FIG. 3 is a diagram illustrating configurations of the RAM 34 and the ROM 36 according to the first embodiment. According to FIG. 3A, the RAM 34 includes an object initial information storage area 340, a moving image data storage area 342, a contact physical quantity storage area 344, a contact moving direction storage area 346, and a previous physical quantity storage area 382. And a previous moving direction storage area 384.

  The object initial information storage area 340 is a storage area for storing object initial information. The initial object information is initial information necessary for a motion simulation of an object such as an expression and a vector representing the mass, size, and moving direction of the object input by the user.

  The moving image data storage area 342 is a storage area for storing moving image data. The moving image data is an object calculated by the CPU 32 in all moving image frames displayed on the display unit 46 (more precisely, a display body that simulates an object. This is also the display information such as the coordinate position, display color and shape of the object.

  The contact physical quantity storage area 344 is a storage area for storing the contact physical quantity of each object. The physical quantity at the time of contact is a physical quantity of the object when the object comes into contact with another object.

  The contact moving direction storage area 346 is a storage area for storing the moving direction of each object in contact. The moving direction at the time of contact is the moving direction of the object when the object comes into contact with another object. The physical state of the object and the moving direction define the motion state of the object, and a vector representing the motion state (hereinafter referred to as “motion vector”) is determined. The motion vector is represented by an arrow such as an arrow V1 shown in FIG. Specifically, the direction of the arrow represents the moving direction, and the length of the arrow represents the physical quantity of the object.

  The previous physical quantity storage area 382 is a storage area for storing the previous physical quantity of each object. The previous physical quantity is the physical quantity of the object calculated by the CPU 32 in the previous process. The previous movement direction storage area 384 is a storage area for storing the previous movement direction of each object. The previous movement direction is the movement direction of the object calculated by the CPU 32 in the previous process.

  According to FIG. 3B, the ROM 36 stores a motion simulation program 360. When the CPU 32 detects an ON operation of the simulator mode by the user (for example, a selection operation using the input pen 9 from the function menu displayed on the display unit 46), the CPU 32 reads the exercise simulation program 360 from the ROM 36 and develops it in the RAM 34. Start the motion simulation process.

  Next, the operation of the motion simulation process of the graph scientific calculator 1 will be described below with reference to the flowchart showing the operation of the graph scientific calculator 1 in FIG.

  First, when the power of the graph scientific calculator 1 is turned on by the user (for example, pressing of the AC / ON key), the CPU 32 waits until detecting the ON operation of the simulator mode by the user (step A1). When the simulator mode ON operation is detected (step A1: Yes), the CPU 32 switches to the simulator mode (step A3). Specifically, the CPU 32 reads the motion simulation program 360 from the ROM 36 and develops it in the RAM 34 to start the motion simulation processing, and switches to the simulator mode.

  The CPU 32 waits until the object initial information of the objects T1 and T3 is input by the user (step A5). When the CPU 32 determines that the object initial information is input (step A5: Yes), the input object initial information is determined as the object initial information. Store in the information storage area 340 (step A7).

  Next, the CPU 32 waits until the execution key (for example, the EXE key) is pressed by the user (step A9). When the CPU 32 determines that the execution key is pressed (step A9: Yes), the object T1 and the object T3 are based on the object initial information. Is calculated, and the calculated moving image data is stored in the moving image data storage area 342 (step A11).

  Then, the CPU 32 displays a moving image of the object T1 and the object T3 at time t on the display unit 46 based on the moving image data (step A13). The time t is a variable that is dynamically secured in the RAM 34, and is initialized as appropriate at the start of the motion simulation process.

  Next, the CPU 32 obtains the motion state of the object by calculating the physical quantity and the moving direction of each of the objects T1 and T3 (step A14). Then, it is determined whether or not the objects T1 and T3 are in contact with each other by comparing the calculated physical quantity and movement direction representing the movement state of the object with the previous physical quantity and movement direction representing the previous movement state of the object. (Step A15).

  When the calculated physical quantity and the moving direction are different from the previous physical quantity and the previous moving direction, it is determined that the objects T1 and T3 are in contact (Step A15: Yes), and the CPU 32 stores the calculated physical quantity and the moving direction at the time of the contact physical quantity. The information is stored in the area 344 and the moving direction storage area 346 when in contact. Then, the CPU 32 displays a character expression L1 representing the physical quantity of the object T1 and a character expression L3 representing the physical quantity of the object T2 based on the stored physical quantity at contact and the moving direction at contact, and also the physical quantity of the object T1. The motion vector representing the movement direction is displayed on the display unit 46 as an arrow V1, and the physical quantity of the object T3 and the motion vector representing the movement direction are displayed on the display unit 46 (step A17). In Step A15, when the calculated physical quantity and the moving direction are the same as the previous physical quantity and the previous moving direction, it is determined that the objects T1 and T3 are not in contact (Step A15: No) and displayed on the display unit 46. The character expression representing the physical quantity and the arrow are deleted (step A19).

  After the process of step A17 or A19, the CPU 32 stores the physical quantity and movement direction calculated in step A14 in the previous physical quantity storage area 382 and the previous movement direction storage area 384. And it is discriminate | determined whether the instruction | indication input (for example, pressing of EXE key) by the user to complete | finish the exercise | movement simulation process was made (step A21). If it is determined that an instruction input has been made (step A21: Yes), the CPU 32 ends the motion simulation process. If it is determined that no instruction input has been made (step A21: No), the CPU 32 determines a predetermined time Δt ( For example, 1 millisecond) is added (step A23), and the process proceeds to step A13.

  FIG. 5 is a diagram illustrating an example of screen transition of a specific display screen. Hereinafter, it will be described together with an operation example.

  First, when the user turns on the simulator mode and inputs the object initial information and then presses the execution key, the motion simulation screen W1 is displayed on the display unit 46. Then, the object T1 and the object T3 based on the initial object information are displayed on the motion simulation screen W1 (FIG. 5A). (Corresponding to steps A1 → A3 → A5 → A7 → A9 → A11 → A13 shown in FIG. 4)

  After that, the object T1 moves straightly toward the object T3 as shown in FIGS. 5B and 5C based on the initial object information (steps A13 to A15 → A19 shown in FIG. 4). → A21 → A23 → A13)

  When the object T1 and the object T3 collide (contact), the character expressions L1 and L3 representing the impulse (physical quantity) of each object are displayed, and the motion vector representing the impulse and the moving direction of the object T1 is an arrow V1. As shown in FIG. 5, a motion vector representing the impulse and the moving direction of the object T3 is displayed as an arrow V3 (FIG. 5D) (corresponding to steps A13 to A15 → A17 shown in FIG. 4).

  After the collision in FIG. 5D, the character expressions L1 and L3 representing the impulses (physical quantities) and the arrows V1 and V3 are deleted from the motion simulation screen W1, and the objects T1 and T3 are respectively converted to the arrows V1 and V3. (Fig. 5 (e)).

  As described above, according to the first embodiment, a moving image in which an object moves is generated and displayed based on the input object initial information. When the object collides (contacts) with another object, a character expression representing the physical quantity (impulse) of the object changed by the collision and an arrow representing the motion vector of the object are temporarily displayed at the time of the collision. Accordingly, the user can observe the movement of the object with a moving image, and can further confirm the physical quantity and the moving direction that have changed at the time of the collision. Therefore, it is possible to realize a motion simulation device that can visually grasp the motion state of an object and learn it in an easy-to-understand manner.

Note that the physical quantity to be calculated is not limited to impulse only, and can be appropriately changed to other physical quantities in dynamic calculation such as kinetic energy and potential energy. For example, the kinetic energy of the object T1 and the object T3 changes at the time of collision. Therefore, similarly to the display of a character expression representing the impulse as described above, when a collision of the object T1 and an object T3, character expression representing the respective kinetic energy object (e.g., mv ^2/2) may be displayed.

[Embodiment 2]
Next, a second embodiment of the graph scientific calculator 1 to which the present invention is applied will be described. The graph scientific calculator 1 in the second embodiment has a configuration in which the RAM 34 and the ROM 36 in the first embodiment shown in FIG. 3 are replaced with a RAM 34b and a ROM 36b. The same components as those in the first embodiment are denoted by the same reference numerals, and steps having the same processing contents as the steps of the motion simulation process in FIG. 4 are denoted by the same reference numerals and description thereof is omitted.

  FIG. 6 is a diagram illustrating the configuration of the RAM 34b and the ROM 36b according to the second embodiment. According to FIG. 6A, the RAM 34b includes an object initial information storage area 340, a moving image data storage area 342, a display color information storage area 348, a previous physical quantity storage area 382, and a previous movement direction storage area 384. It is prepared for.

  The display color information storage area 348 is a storage area for storing an object being displayed and a display color that is one of display forms of the object in association with each other.

  According to FIG. 6B, the ROM 36b stores a display color change program 360b for realizing a display color change process which is a characteristic process of the second embodiment. When the CPU 32 detects the simulator mode ON operation by the user, the CPU 32 reads the display color change program 360b from the ROM 36b and develops it in the RAM 34b to start the display color change process.

  Next, the operation of the display color changing process of the graph scientific calculator 1 will be described below with reference to the flowchart showing the operation of the graph scientific calculator 1 in FIG.

  First, after the power of the graph scientific calculator 1 is turned on by the user, when the simulator mode ON operation is detected (step A1: Yes), the CPU 32 reads the display color change program 360b from the ROM 36b and develops it in the RAM 34b. The display color changing process is started to switch to the simulator mode (step A3).

  The CPU 32 stores the object initial information of the objects T21 and T23 input by the user in the object initial information storage area 340 (steps A5 to A7), and then determines that the execution key is pressed by the user (step A9: Yes). The moving image data is calculated based on the initial object information, and the calculated moving image data is stored in the moving image data storage area 342 (step B11). At this time, the CPU 32 stores the object and the display color in the display color information storage area 348 in association with each other based on the calculated moving image data.

  Then, the CPU 32 displays the moving image of the object T21 and the object T23 at the time t on the display unit 46 based on the moving image data (step A13).

  Next, the CPU 32 obtains the motion state of the object by calculating the physical quantity and the moving direction of each of the objects T21 and T23 (step A14). Then, by comparing the calculated physical quantity and movement direction of the object representing the motion state of the object with the previous physical quantity and previous movement direction representing the motion state of the previous object, it is determined whether or not the objects T21 and T23 are in contact with each other. It discriminate | determines (step A15).

  When the calculated physical quantity and the moving direction are different from the previous physical quantity and the previous moving direction, it is determined that the objects T21 and T23 are in contact (step A15: Yes), and the CPU 32 moves and moves the physical quantity indicating the motion state of the objects T21 and T23. Based on the direction, the display color data of the object T21 and the object T23 stored in the display color information storage area 348 is updated. For example, a speed that is a physical quantity representing the motion state of the object is calculated. If the object speed is faster, the display is shaded (for example, object T21 in FIG. 8A), and if the object speed is slower, only the outer edge is displayed (for example, object T23 in FIG. 8A). In this way, the display color data is appropriately switched according to the speed of the object.

  On the other hand, when it is determined that the calculated physical quantity and the moving direction are the same as the previous physical quantity and the previous moving direction and the objects T21 and T23 are not in contact (Step A15: No), or after the process of Step B17, the CPU 32 The physical quantity and movement direction calculated in step A14 are stored in the previous physical quantity storage area 382 and the previous movement direction storage area 384, and the process proceeds to step A21.

  FIG. 8 is a diagram illustrating an example of screen transition of a specific display screen. Hereinafter, it will be described together with an operation example.

  First, when the user turns on the simulator mode and inputs the object initial information and then presses the execution key, the motion simulation screen W1 is displayed on the display unit 46. Then, the object T21 and the object T23 based on the initial object information are displayed on the motion simulation screen W1. Specifically, the moving object T21 is filled with shading, and only the outer edge of the stopped object T23 is displayed (FIG. 8A) (steps A1 → A3 → A5 → shown in FIG. 7). A7 → A9 → B11 → A13).

  Thereafter, the object T21 moves straightly toward the object T23 as shown in FIG. 8B based on the initial object information (corresponding to steps A13 to A15 → A21 → A23 → A13 shown in FIG. 7). . When the object T21 and the object T23 collide (contact) (FIG. 8C), the display colors of the object T21 and the object T23 are switched by the CPU 32. Specifically, only the outer edge of the object T21 whose speed (physical quantity) has slowed down due to the collision is displayed, and the object T23 whose speed (physical quantity) has increased due to the collision is displayed by being shaded (FIG. 8D). )) (Corresponding to steps A13 → A15 → B17 shown in FIG. 7).

  As described above, according to the second embodiment, when an object collides (contacts) with another object, the display color of the object is switched in accordance with the speed (physical quantity) of the object changed by the collision. Thereby, the user can visually confirm the change in the physical quantity of the object with the display color. Therefore, it is possible to realize a motion simulation apparatus that can learn the motion state of an object visually and easily.

[Embodiment 3]
Next, Embodiment 3 of the graph scientific calculator 1 to which the present invention is applied will be described. The graph scientific calculator 1 in the third embodiment has a configuration in which the RAM 34 and the ROM 36 in the first embodiment shown in FIG. 3 are replaced with a RAM 34c and a ROM 36c. The same components as those in the first embodiment are denoted by the same reference numerals, and steps having the same processing contents as the steps of the motion simulation process in FIG. 4 are denoted by the same reference numerals and description thereof is omitted.

  FIG. 9 is a diagram illustrating the configuration of the RAM 34c and the ROM 36c according to the third embodiment. According to FIG. 9A, the RAM 34c includes an object initial information storage area 340, a moving image data storage area 342, a position information storage area 350, an arrival physical quantity storage area 352, and an arrival movement direction storage area 354. It is configured with.

  The position information storage area 350 is a storage area for storing a specific passing position of the object on the display unit 46. The passage position is calculated by the CPU 32 based on the elapsed time input by the user.

  The arrival physical quantity storage area 352 is a storage area for storing the arrival physical quantity. The arrival physical quantity is a physical quantity of the object when the object reaches the passing position.

  The arrival movement direction storage area 354 is a storage area for storing the arrival movement direction. The movement direction at the time of arrival is the movement direction of the object when the object reaches the passing position.

  According to FIG. 9B, the ROM 36c stores a position designation simulation program 360c for realizing the position designation simulation process which is a characteristic process of the third embodiment. When the CPU 32 detects the simulator mode ON operation by the user, the CPU 32 reads the position designation simulation program 360c from the ROM 36c and develops it in the RAM 34c to start the position designation simulation process.

  Next, the operation of the position specifying simulation process of the graph scientific calculator 1 will be described below with reference to the flowchart showing the operation of the graph scientific calculator 1 in FIG.

  First, after the power of the graph scientific calculator 1 is turned on by the user, when the simulator mode ON operation is detected (step A1: Yes), the CPU 32 reads the position designation simulation program 360c from the ROM 36c and develops it in the RAM 34c. The position designation simulation process is started to switch to the simulator mode (step A3).

  When the CPU 32 stores the object initial information of the object T31 input by the user in the object initial information storage area 340 (steps A5 to A7), the CPU 32 waits until the passing position of the object T31 is designated (step C8-1). Specifically, after the elapsed time is input by the user pressing the operation input key 5 or the like, the CPU 32 calculates the position of the object when the input elapsed time is time t, whereby the passing position of the object is determined. It is specified. If it is determined that the passage position is designated (step C8-1: Yes), the CPU 32 stores the designated passage position in the position information storage area 350 (step C8-2). And the display of the display part 46 is updated by displaying the passage position mark L31 showing a passage position (step C8-3).

  Next, when the execution key is pressed by the user (step A9: Yes), the moving image data related to the object T31 is calculated, and the calculated moving image data is stored in the moving image data storage area 342 (step A11). The CPU 32 displays the moving image of the object T31 at time t on the display unit 46 based on the moving image data (step A13), and then the position of the object T31 at time t is stored in the position information storage area 350. It is determined whether or not the passage position has been reached (step C15).

  If it is determined that the passage position has been reached (step C15: Yes), the CPU 32 calculates the arrival physical quantity and arrival movement direction of the object T31, and reaches the arrival physical quantity storage area 352 and arrival movement direction storage area 354. To remember. Then, the CPU 32 displays the character expressions L35 and L37 representing the physical quantity of the object T31 based on the arrival physical quantity and the arrival movement direction, and the motion vectors representing the physical quantity and the movement direction of the object T31 with arrows V31 and V33. Is displayed on the display unit 46 (step C17). When it is determined in step C15 that the passing position has not been reached (step C15: No), the character expression and the arrow representing the physical quantity displayed on the display unit 46 are deleted (step A19).

  FIG. 11 is a diagram illustrating an example of screen transition of a specific display screen. Hereinafter, it will be described together with an operation example.

  First, when the user turns on the simulator mode and inputs the object initial information and then presses the execution key, the motion simulation screen W1 is displayed on the display unit 46. Then, the object T31 based on the initial object information is displayed on the motion simulation screen W1 (FIG. 11A) (corresponding to steps A1 → A3 → A5 → A7 shown in FIG. 10).

  When the elapsed time L33 “t = 2” is input by the user, a passing position mark L31 is displayed on the motion simulation screen W1 at a position where the object T31 passes 2 seconds after the start of movement of the object T31 (FIG. 11). (B)) (corresponding to steps C8-1 → C8-2 to C8-3 shown in FIG. 10).

  Thereafter, the object T31 moves straight as shown in FIG. 11C based on the initial object information (FIG. 11C) (steps A13 → C15 → A19 → A21 → A23 → A13 shown in FIG. 10). Equivalent). When 2 seconds have elapsed from the start of the movement of the object T31 and the object T31 reaches the passing position mark L31, a character formula L35 representing a horizontal speed and a character formula L37 representing a vertical speed are displayed as physical quantities of the object T31. Is done. Further, the horizontal vector of the motion vector representing the physical quantity and the moving direction is displayed as an arrow V31, and the vertical vector is displayed as an arrow V33 (FIG. 11 (d)) (corresponding to steps C15 → C17 shown in FIG. 10).

  When the object T31 passes the passing position mark L31, the displayed character formulas L35 and L37 and the arrows V31 and V33 disappear from the motion simulation screen W1 (FIG. 11E) (step C15 in FIG. 10 → Equivalent to A19).

  As described above, according to the third embodiment, when an object reaches the designated passing position, the character expression indicating the physical quantity (speed) of the object and the arrow indicating the motion vector of the object are temporarily displayed. . Thus, the user can observe the movement of the object with a moving image, and can confirm the physical quantity and the moving direction at the designated position at a desired time. Therefore, it is possible to realize a motion simulation device that can visually grasp the motion state of an object and learn it in an easy-to-understand manner.

[Embodiment 4]
Next, a fourth embodiment of the graph scientific calculator 1 to which the present invention is applied will be described. The graph scientific calculator 1 in the fourth embodiment has a configuration in which the RAM 34c and the ROM 36c in the third embodiment shown in FIG. 9 are replaced with a RAM 34d and a ROM 36d. In addition, the same code | symbol is attached | subjected to the same component as Embodiment 3, and the same code | symbol is attached | subjected to the step of the same processing content as the step of the motion simulation process of FIG. 4, and the description is abbreviate | omitted.

  FIG. 12 is a diagram illustrating a configuration of the RAM 34d and the ROM 36d according to the fourth embodiment. 12A, the RAM 34d includes an object initial information storage area 340, a moving image data storage area 342, a range information storage area 356, an arrival physical quantity storage area 352, and an arrival movement direction storage area 354. It is configured with.

  The range information storage area 356 is a storage area for storing range information. The range information is the coordinate position of the designated range on the display unit 46 designated by the drag and drop operation. The range may be specified not only by drag and drop operation but also by inputting coordinate values.

  According to FIG. 12B, the ROM 36d stores a range designation simulation program 360d for realizing the range designation simulation process which is a characteristic process of the fourth embodiment. When the CPU 32 detects the simulator mode ON operation by the user, the CPU 32 reads the range designation simulation program 360d from the ROM 36d and develops it in the RAM 34d to start the range designation simulation process.

  Next, the operation of the range specifying simulation process of the graph scientific calculator 1 will be described below with reference to the flowchart showing the operation of the graph scientific calculator 1 in FIG.

  First, after the power of the graph scientific calculator 1 is turned on by the user, when the simulator mode ON operation is detected (step A1: Yes), the CPU 32 reads the range designation simulation program 360d from the ROM 36d and develops it in the RAM 34d. The range designation simulation process is started to switch to the simulator mode (step A3).

  When the CPU 32 stores the object initial information of the object T41 input by the user in the object initial information storage area 340 (step A5 → A7), the CPU 32 waits until the range on the display unit 46 is designated by the user's drag and drop operation. (Step D8-1). When it is determined that the range is designated (step D8-1: Yes), the CPU 32 stores the coordinate position of the designated range in the range information storage area 356 (step D8-2). And the display of the display part 46 is updated by displaying the frame F41 showing the designated range (step D8-3).

  Next, when the execution key is pressed by the user (step A9: Yes), the moving image data is calculated, and the calculated moving image data is stored in the moving image data storage area 342 (step A11). Then, the CPU 32 displays the moving image of the object T41 at time t on the display unit 46 based on the moving image data (step A13), and determines whether or not the display position of the object T41 is within the frame frame F41 representing the range information ( Step D15).

  When it is determined that the frame is within the frame F41 (step D15: Yes), the CPU 32 calculates the arrival physical quantity and arrival movement direction of the object T41, and reaches the arrival physical quantity storage area 352 and arrival movement direction storage area 354. And remember. Then, the CPU 32 displays the character expressions L41 and L43 representing the physical quantity of the object T41 based on the arrival physical quantity and the movement direction at arrival, and moves the motion vector representing the physical quantity and movement direction of the object T41 to the arrows V41 and V43. Is displayed on the display unit 46 (step D17). If it is determined in step D15 that it is not within the frame F41 (step D15: No), the character expression and the arrow representing the physical quantity displayed on the display unit 46 are deleted (step A19).

  FIG. 14 is a diagram illustrating an example of screen transition of a specific display screen. Hereinafter, it will be described together with an operation example.

  First, when the user turns on the simulator mode and inputs the object initial information and then presses the execution key, the motion simulation screen W1 is displayed on the display unit 46. Then, on the motion simulation screen W1, an object T41 based on the initial object information is displayed (FIG. 14A) (corresponding to steps A1 → A3 → A5 → A7 shown in FIG. 13).

  When the user designates a range by dragging and dropping on the exercise simulation screen W1, a frame frame F41 representing the designated range is displayed on the exercise simulation screen W1 (FIG. 14B) (FIG. 13). Step D8-1 to D8-2 to D8-3 shown).

  Thereafter, the object T41 moves as shown in FIG. 14C based on the initial object information (FIG. 14C) (corresponding to steps A13 → D15 → A19 → A21 → A23 → A13 shown in FIG. 13). . When the object T41 arrives within the frame F41, a character formula L41 representing the horizontal velocity of the physical quantity of the object T41 and a character formula L43 representing the vertical velocity are displayed. Further, the horizontal vector of the motion vector representing the physical quantity and the moving direction of the object T41 is displayed as an arrow V41, and the vertical vector is displayed as an arrow V43 (FIG. 14 (d)) (corresponding to steps D15 → D17 shown in FIG. 13). ).

  When the object T41 goes outside the frame F41, the displayed character formulas L41 and L43 and the arrows V41 and V43 are deleted from the motion simulation screen W1 (FIG. 14E) (step shown in FIG. 13). Equivalent to D15 → A19).

  As described above, according to the fourth embodiment, the user designates a desired range on the display screen. When the object passes through the designated range, a character expression representing the physical quantity (speed) of the object and an arrow representing the motion vector of the object are displayed while passing. Thereby, the user can observe the movement of the object with a moving image, and can confirm the physical quantity and the moving direction of the object while the object is in the range in a desired period. Therefore, it is possible to realize a motion simulation device that can visually grasp the motion state of an object and learn it in an easy-to-understand manner.

  In addition, although it demonstrated as specifying the range on a display screen in Embodiment 4, it is good also as specifying the passage position of an object. When the passage position is designated, when it is determined that the object has reached the designated passage position, the character expression representing the physical quantity of the object and the arrow representing the motion vector are displayed, thereby providing the same effect as in the third embodiment. Can be obtained.

[Embodiment 5]
Next, a fifth embodiment of the graph scientific calculator 1 to which the present invention is applied will be described. The graph scientific calculator 1 in the fifth embodiment has a configuration in which the RAM 34 and the ROM 36 in the first embodiment shown in FIG. 3 are replaced with a RAM 34e and a ROM 36e. The same components as those in the first embodiment are denoted by the same reference numerals, and steps having the same processing contents as the steps of the motion simulation process in FIG. 4 are denoted by the same reference numerals and description thereof is omitted.

  FIG. 15 is a diagram illustrating the configuration of the RAM 34e and the ROM 36e according to the fifth embodiment. According to FIG. 15A, the RAM 34e includes an object initial information storage area 340, a moving image data storage area 342, a spreadsheet display area storage area 358, a drop position storage area 341, and a physical quantity data storage area 343. It is prepared for.

  The spreadsheet display area storage area 358 is a storage area for storing the spreadsheet display area. The spreadsheet display area is the coordinate position of the display area of the spreadsheet displayed by the spreadsheet display process.

  The drop position storage area 341 is a storage area for storing a drop position. The drop position is a coordinate position dropped by a drag and drop operation. The physical quantity data storage area 343 is a storage area for storing physical quantity data of an object per unit time calculated from the initial object information.

  According to FIG. 15B, the ROM 36e stores a first spreadsheet simulation program 360e for realizing the first spreadsheet simulation process which is a characteristic process of the fifth embodiment. When the CPU 32 detects the simulator mode ON operation by the user, the CPU 32 reads out the first spreadsheet simulation program 360e from the ROM 36e and develops it in the RAM 34e to start the first spreadsheet simulation process.

  The first spreadsheet simulation program 360e includes a spreadsheet display program 362 and a moving image execution program 364 as subroutines.

  Next, the operation of the first spreadsheet simulation process of the graph scientific calculator 1 will be described below using a flowchart representing the operation of the graph scientific calculator 1 in FIG.

  First, after the power of the graph scientific calculator 1 is turned on by the user, when the simulator mode ON operation is detected (step A1: Yes), the CPU 32 reads the first spreadsheet simulation program 360e from the ROM 36e and develops it in the RAM 34e. Thus, the first spreadsheet simulation process is started to switch to the simulator mode (step A3).

  When the object initial information of the objects T51 and T53 input by the user is stored in the object initial information storage area 340 (step A5 → A7), the CPU 32 displays an instruction input for displaying a spreadsheet (for example, displayed on the display unit 46). (Step E8-1).

  When it is determined that an instruction is input (step E8-1: Yes), the CPU 32 starts a spreadsheet display process (step E8-2). The spreadsheet display process is started when the CPU 32 reads the spreadsheet display program 362 from the ROM 36e and develops it in the RAM 34e. Specifically, a spreadsheet S51, which is a table composed of rows and columns, is created and displayed on the spreadsheet screen W3. Then, the coordinate position of the display area where the spreadsheet S51 is displayed is stored in the spreadsheet display area storage area 358.

  After the process of step E8-2, the CPU 32 waits until the execution key is pressed (step A9), and when the execution key is pressed (step A9: Yes), the moving image execution process is started (step E11). The moving image execution process is started when the CPU 32 reads out the moving image execution program 364 from the ROM 36e and expands it in the RAM 34e. Specifically, the moving image data related to the objects T51 and T53 is calculated from the object initial information, and the calculated moving image data is stored in the moving image data storage area 342. Then, the display of the moving image based on the moving image data is started and displayed on the display unit 46.

  After the process of step E11, the process waits until the user performs a drag and drop operation (step E13). When the drag and drop operation is performed (step E13: Yes), the drop position by the drag and drop operation is detected, and the detected drop position is stored in the drop position storage area 341 (step E15).

  Then, the CPU 32 compares the drop position with the spreadsheet display area to determine whether or not the drop position is within the spreadsheet display area (step E17). When it is determined that it is not within the spreadsheet display area (step E17: No), the CPU 32 ends the first spreadsheet simulation process and proceeds to another process. If it is determined that it is in the spreadsheet display area (step E17: Yes), the physical quantity data for each unit time is calculated from the object initial information, and the calculated physical quantity data is stored in the physical quantity data storage area 343 (step). E19).

  Then, the calculated physical quantity data is displayed in the corresponding cell of the spreadsheet displayed in the spreadsheet display process (step E21). Next, the CPU 32 determines whether or not a moving image is displayed by the moving image execution process (step E23). If it is determined that no moving image is displayed (step E23: No), the first spreadsheet simulation process is terminated. If it is determined that a moving image is displayed (step E23: Yes), the character of the cell of the spreadsheet corresponding to the current time is identified and displayed by a highlight display or the like (step E25). Then, the first spreadsheet simulation process is terminated.

  FIG. 17 is a diagram illustrating an example of screen transition of a specific display screen. Hereinafter, it will be described together with an operation example.

  First, when the user turns on the simulator mode and inputs the object initial information, the object T51 and the object T53 based on the object initial information are displayed on the motion simulation screen W1 (FIG. 17A) (FIG. 16). Step A1-> A3-> A5-> A7 shown in FIG.

  When the function for displaying the spreadsheet S51 is selected from the function menu by the input pen 9, the spreadsheet S51 is displayed on the spreadsheet screen W3 (FIG. 17B) (step E8-1 shown in FIG. 16). → E8-2 equivalent).

  Then, when the user taps on the motion simulation screen W1, drags and taps out on the spreadsheet S51, the spreadsheet S53 in which physical quantity data of the objects T51 and T53 is configured in a table format is displayed on the spreadsheet screen. Displayed in W3. Specifically, a list of mass and velocity values, which are parameters for calculating the impulse of physical quantity data, is displayed for each unit time. Further, the cell S55 corresponding to the currently displayed moving image of the object T51 and the object T53 is highlighted (FIG. 17 (c)) (in steps E13 → E15 → E17 → E19 to E23 → E25 shown in FIG. 16). Equivalent).

  As described above, according to the fifth embodiment, when a predetermined drag and drop operation is performed on the displayed spreadsheet, the mass and physical quantity data (mass and velocity values) of the displayed object are displayed in the spreadsheet. Is done. As a result, the user can check the value of the physical quantity data that changes with time due to the movement of the object in a tabular format using a spreadsheet.

  The physical quantity data in the spreadsheet corresponding to the currently displayed moving image is identified and displayed by highlight display. Accordingly, the user can easily check the physical quantity data at the current position of the object displayed as a moving image. Therefore, it is possible to realize a motion simulation device that can visually grasp the motion state of an object and learn it in an easy-to-understand manner.

  The physical quantity data in the currently displayed video is identified and displayed, and the first spreadsheet simulation process is terminated. However, the identification display is switched sequentially according to the displayed video until the video is displayed. By doing so, the correspondence between the moving image and the spreadsheet becomes clearer, and the learning effect can be made suitable.

[Embodiment 6]
Next, a sixth embodiment of the graph scientific calculator 1 to which the present invention is applied will be described. The graph scientific calculator 1 in the sixth embodiment has a configuration in which the RAM 34e and the ROM 36e in the fifth embodiment shown in FIG. 15 are replaced with a RAM 34f and a ROM 36f. In addition, the same code | symbol is attached | subjected to the same component as Embodiment 5, and the same code | symbol is attached | subjected to the step of the same processing content as the step of the motion simulation process of FIG. 4, and the description is abbreviate | omitted.

  FIG. 18 is a diagram illustrating the configuration of the RAM 34f and the ROM 36f according to the sixth embodiment. 18A, the RAM 34f includes an object initial information storage area 340, a moving image data storage area 342, a spreadsheet display area storage area 358, a drop position storage area 341, a physical quantity data storage area 343, And a moving direction storage area 345.

  The moving direction storage area 345 is a storage area for storing the moving direction of the object per unit time calculated based on the object initial information.

  According to FIG. 18B, the ROM 36f stores a second spreadsheet simulation program 360f for realizing the second spreadsheet simulation process which is a characteristic process of the sixth embodiment. When detecting the ON operation of the simulator mode by the user, the CPU 32 reads out the second spreadsheet simulation program 360f from the ROM 36f and develops it in the RAM 34f to start the second spreadsheet simulation process.

  The second spreadsheet simulation program 360f includes a spreadsheet display program 362 and a moving image execution program 364 as subroutines.

  Next, the operation of the second spreadsheet simulation process of the graph scientific calculator 1 will be described below using a flowchart representing the operation of the graph scientific calculator 1 in FIG.

  First, after the power of the graph scientific calculator 1 is turned on by the user, when the simulator mode ON operation is detected (step A1: Yes), the CPU 32 reads the second spreadsheet simulation program 360f from the ROM 36f and develops it in the RAM 34f. Thus, the second spreadsheet simulation process is started to switch to the simulator mode (step A3).

  When the user inputs the object initial information of the objects T61 and T63 and stores the object initial information in the object initial information storage area 340 (step A5 → A7), the CPU 32 inputs an instruction for displaying the spreadsheet. (Step F8-1).

  If it is determined that an instruction is input (step F8-1: Yes), the CPU 32 executes a spreadsheet display process (step F8-2), and then waits until the execution key is pressed (step A9). If it is determined that the execution key has been pressed (step A9: Yes), a moving image execution process is executed (step F11).

  After the moving image execution process, the CPU 32 waits until a drag and drop operation is performed by the user (step F13). If it is determined that a drag and drop operation has been performed (step F13: Yes), the drop position by the drag and drop operation is detected, and the detected drop position is stored in the drop position storage area 341 (step F15).

  Then, the CPU 32 compares the drop position with the spreadsheet display area to determine whether or not the drop position is within the spreadsheet display area (step F17). If it is determined that it is not within the spreadsheet display area (step F17: No), the CPU 32 ends the second spreadsheet simulation process and proceeds to another process. If it is determined that it is within the spreadsheet display area (step F17: Yes), physical quantity data for each unit time is calculated from the initial object information, and the calculated physical quantity data is stored in the physical quantity data storage area 343 (step F19).

  Further, the CPU 32 calculates the moving direction per unit time from the object initial information, and stores the calculated moving direction in the moving direction storage area 345 (step F21).

  Then, the physical quantity data for each unit time of the object T61 and the arrow indicating the moving direction are arranged and displayed in the order along the passage of time in the column of the object T61 of the spreadsheet displayed in Step F8-1. Further, in the column of the object T63, the physical quantity data of the object T63 for each unit time and the arrow indicating the moving direction are displayed side by side in order along the passage of time (step F23). Thereafter, the CPU 32 ends the second spreadsheet simulation process.

FIG. 27 is a diagram illustrating an example of a specific display screen. Hereinafter, it will be described together with an operation example.
First, by performing the same operation as the screen example in the fifth embodiment shown in FIGS. 17A to 17B, the motion simulation screen W1 displays the moving images of the object T61 and the object T63. Further, the spreadsheet S61 is displayed on the spreadsheet screen W5 (corresponding to steps A1, A3, A5, A7, F8-1, and F8-2 shown in FIG. 19).

  Then, when the user taps on the motion simulation screen W1 and performs a drag and drop operation for tapping out on the spreadsheet S61 after the drag operation, the physical quantity data of the objects T61 and T63 are moved to the spreadsheet S61. A direction arrow is displayed. Specifically, the values of mass and velocity, which are the parameters for calculating the impulse of physical quantity data, are displayed in each object column, and the arrows V61 and black circles indicating the movement direction for each unit time are displayed. A point M61 is displayed in each object row (FIG. 20) (corresponding to steps F13 → F15 → F17 → F19 to F23 shown in FIG. 19). An arrow V61 displayed in the movement direction cells S63 and S65 indicates that the movement direction of the object is the lower right direction of the motion simulation screen W1. A black dot midpoint M61 represents that the object is stopped.

  As described above, according to the sixth embodiment, when a predetermined drag and drop operation is performed on the displayed spreadsheet, the physical quantity data (mass and velocity values) of the displayed object and the arrow indicating the moving direction are displayed. Displayed in the spreadsheet. As a result, the user can confirm the temporal change in the physical quantity data and the moving direction that change with the movement of the object in a tabular format using a spreadsheet. Therefore, it is possible to realize a motion simulation device that can visually grasp the motion state of an object and learn it in an easy-to-understand manner.

  In the fifth and sixth embodiments, the motion state of the object is represented by displaying the physical quantity data and the moving direction in a table format using a spreadsheet. However, the physical quantity data is displayed in a graph format using a line graph. Of course. In this case, an arrow indicating the movement direction, which is a feature of the sixth embodiment, is displayed and attached to a portion that is an actual measurement value of the physical quantity data of the line graph, so that a change with time in the movement direction becomes clearer. .

[Embodiment 7]
Next, a seventh embodiment of the graph scientific calculator 1 to which the present invention is applied will be described. The graph scientific calculator 1 in the seventh embodiment has a configuration in which the RAM 34 and the ROM 36 in the first embodiment shown in FIG. 3 are replaced with a RAM 34g and a ROM 36g. The same components as those in the first embodiment are denoted by the same reference numerals, and steps having the same processing contents as the steps of the motion simulation process in FIG. 4 are denoted by the same reference numerals and description thereof is omitted.

  FIG. 21 is a diagram illustrating the configuration of the RAM 34g and the ROM 36g according to the seventh embodiment. 21A, the RAM 34g includes an object initial information storage area 340, a moving image data storage area 342, and a separate frame display data storage area 347.

  The separate frame display data storage area 347 is a storage area for storing separate frame display data. The separate frame display data is display information such as the physical quantity data of the object and the moving direction, and is displayed in a window (separate frame) displayed separately from the moving image.

  According to FIG. 21B, the ROM 36g stores a frame display program classified by object information 360g for realizing the frame display processing classified by object information which is a characteristic process of the seventh embodiment. When the CPU 32 detects the simulator mode ON operation by the user, the CPU 32 reads the object information frame display program 360g from the ROM 36g, expands it in the RAM 34g, and starts object information frame display processing.

  Next, the operation of the frame display processing according to object information of the graph scientific calculator 1 will be described below with reference to the flowchart showing the operation of the graph scientific calculator 1 in FIG.

  First, after the power of the graph scientific calculator 1 is turned on by the user, when the simulator mode ON operation is detected (step A1: Yes), the CPU 32 reads the object information frame display program 360g from the ROM 36g and develops it in the RAM 34g. Then, the frame display processing by object information is started to switch to the simulator mode (step A3).

  The CPU 32 stores the object initial information of the objects T71 and T73 input by the user in the object initial information storage area 340, and then, when the execution key is pressed, the moving image data related to the objects T71 and T73 based on the object initial information. And the calculated moving image data is stored in the moving image data storage area 342 (step A5 → A7 → A9 → A11).

  The CPU 32 displays the moving image of the object T71 and the object T73 at time t on the display unit 46 based on the moving image data (step A13). Then, the display data of the windows W71 and W73 used for the separate frame display, the identification symbol for identifying the objects T71 and T73, the physical quantity data and the moving direction of each of the objects T71 and T73 are calculated as the separate frame display data, and calculated. The separate frame display data is stored in the separate frame display data storage area 347. The CPU 32 displays windows W71 and W73 on the display unit 46 based on the stored separate frame display data. In the window W71, an identification symbol S71, physical quantity data L71, and an arrow V71 indicating the moving direction are displayed. Further, an identification symbol S73 is displayed in the window W73 (step G15). In step A23, each time the time t is updated, separate frame display data is calculated, and the display contents in the windows W71 and W73 are switched and displayed. Therefore, the separate frame display is displayed as a still image at the time t of the object displayed as a moving image on the motion simulation screen W1.

  FIG. 23 is a diagram illustrating an example of screen transition of a specific display screen. Hereinafter, it will be described together with an operation example.

  First, when the user turns on the simulator mode and inputs the object initial information and then presses the execution key, the motion simulation screen W1 is displayed on the display unit 46. Then, an object T71 and an object T73 based on the initial object information are displayed on the motion simulation screen W1 (corresponding to steps A1, A3, A5, A7, A9, A11, and A13 shown in FIG. 22).

  Then, windows W71 and W73 are displayed on the exercise simulation screen W1. At this time, an identification symbol S71 of the object T71, physical quantity data L71 of the object T71, and an arrow V71 indicating the moving direction are displayed in the window W71. Further, the identification symbol S73 of the object T73 is displayed in the window W73 (FIG. 23A) (corresponding to step A13 → G15 shown in FIG. 22).

  As shown in FIG. 23B, when the object T71 moves straight toward the object T73 and then collides (contacts), a message L75 “Hit” indicating the collision is displayed on the windows W71 and W73. (FIG. 23 (c)). Then, the object T71 loses speed due to the collision, and the object T73 that has obtained the speed is displayed to start moving. Therefore, the physical quantity data L77 of the object T73 and the arrow V73 indicating the moving direction are displayed in the window W73 (FIG. 23 (d)).

  As described above, according to the seventh embodiment, the moving image of the object is displayed, and the physical quantity and moving direction of the object are separately displayed in a separate frame display. As the object moves, the contents of the displayed separate frame display (window) are switched and displayed. Thereby, the user can confirm the physical quantity data and the moving direction which change with the movement of the object by a display different from the moving image of the object. Therefore, learning that focuses on changes in the physical quantity and moving direction of the object is possible. Therefore, it is possible to realize a motion simulation device that can visually grasp the motion state of an object and learn it in an easy-to-understand manner.

[Embodiment 8]
Next, an eighth embodiment of the graph scientific calculator 1 to which the present invention is applied will be described. The graph scientific calculator 1 in the eighth embodiment has a configuration in which the RAM 34 and the ROM 36 in the first embodiment shown in FIG. 3 are replaced with a RAM 34h and a ROM 36h. The same components as those in the sixth embodiment are denoted by the same reference numerals, and steps having the same processing contents as the steps of the motion simulation processing in FIG. 4 are denoted by the same reference numerals and description thereof is omitted.

  FIG. 24 is a diagram illustrating the configuration of the RAM 34h and the ROM 36h according to the eighth embodiment. According to FIG. 24A, the RAM 34h includes an object initial information storage area 340, a moving image data storage area 342, a physical quantity storage area 370, a movement direction storage area 345, an input character expression storage area 374, and an input direction. And a storage area 376.

  The physical quantity storage area 370 is a storage area for storing the physical quantity of the object per unit time calculated based on the object initial information.

  The input character expression storage area 374 is a storage area for storing the input character expression. The input character expression is a character expression input by the user. The input movement direction storage area 376 is a storage area for storing the input direction. The input direction is the direction of an arrow input by the user.

  According to FIG. 24B, the ROM 36h stores an object information input determination program 360h for realizing the object information input determination process which is a characteristic process of the eighth embodiment. When detecting the simulator mode ON operation by the user, the CPU 32 reads out the object information input determination program 360h from the ROM 36h and develops it in the RAM 34h to start the object information input determination process.

  Next, the operation of the object information input determination process of the graph scientific calculator 1 will be described below using a flowchart representing the operation of the graph scientific calculator 1 in FIG.

  First, after the power of the graph scientific calculator 1 is turned on by the user, when the simulator mode ON operation is detected (step A1: Yes), the CPU 32 reads the object information input determination program 360h from the ROM 36h and develops it in the RAM 34h. Then, the object information input determination process is started to switch to the simulator mode (step A3).

  The object initial information of the objects T1 and T3 input by the user is stored in the object initial information storage area 340 (step A5 → A7). Then, the moving image data is calculated based on the object initial information related to the objects T1 and T3, and the calculated moving image data is stored in the moving image data storage area 342 (step A11). Next, the CPU 32 calculates physical quantities for each unit time of the objects T1 and T3 and stores them in the physical quantity storage area 370. In addition, the movement directions of the objects T1 and T3 for each unit time are calculated and stored in the movement direction storage area 345 (step H13).

  Then, the CPU 32 displays the moving image at the time t on the display unit 46 based on the moving image data relating to the objects T1 and T3 (step H15). And it is discriminate | determined by the instruction | indication input (for example, tap-in operation on the exercise | movement simulation screen W1) by the user that the animation stop position was designated (step H17).

  When the CPU 32 determines that no instruction input is made and the moving image stop position is not designated (step H17: No), the process proceeds to step H25. If it is determined that an instruction input has been made and the moving image stop position has been designated (step H17: Yes), the process waits until the user inputs a character expression representing a physical quantity and an arrow (step H19). When a character expression and an arrow are input (step H19: Yes), the input character expression is stored in the input character expression storage area 374 and the direction of the arrow is stored in the input direction storage area 376. Then, the physical quantity at time t is read from the physical quantity storage area 370, and the movement direction is read from the movement direction storage area 345. Next, it is determined whether or not the input character formula and the input direction are correct (step H21). Specifically, when the character expression representing the read physical quantity matches the input character expression, and when the read movement direction matches the input direction, it is determined that the answer is correct.

  When determining that the answer is correct (step H21: Yes), the CPU 32 deletes the character expression and the arrow input by the user from the display unit 46 (step H23), and an instruction for ending the object information input determination process It is determined whether or not an input has been made (step H25). If it is determined that an instruction is input (step H25: Yes), the object information input determination process is terminated. If it is determined that an instruction is not input (step H25: No), a predetermined time at time t. Δt is added (step H27), and the process proceeds to step H15.

  If it is determined in step H21 that the answer is not correct (step H21: No), the CPU 32 causes the display unit 46 to display an NG (No Good) message indicating that the input character formula and the arrow are incorrect (step H29). ). And it waits until the instruction input (for example, pressing of AC / ON key) for canceling the state which displays the NG message is made (step H31).

  When an instruction input for canceling the NG message is made (step H31: Yes), the CPU 32 sets the character expression representing the physical quantity read in step H21 and the motion vector arrow representing the physical quantity and the moving direction as correct answers. The information is displayed on the display unit 46 (step H33), and the object information input determination process is terminated.

  FIG. 26 is a diagram illustrating an example of screen transition of a specific display screen. Hereinafter, it will be described together with an operation example.

  First, when the user turns on the simulator mode and inputs the object initial information and then presses the execution key, the motion simulation screen W1 is displayed on the display unit 46. Then, on the motion simulation screen W1, the objects T1 and T3 based on the initial object information are displayed (FIG. 26A) (steps A1 → A3 → A5 → A7 → A9 → A11 shown in FIG. 25). Equivalent to H15).

  Thereafter, based on the initial object information, the object T1 moves straight in the direction of the object T3 as shown in FIGS. 26B and 26C (steps H15 → H17 → H25 → H27 shown in FIG. 25). → Equivalent to H15).

  When the object T1 and the object T3 collide (contact), the motion simulation screen W1 is tapped in, and the moving image is temporarily stopped. Next, the character expressions L81 and L83 representing the physical quantity and the arrows V81 and V83 representing the moving direction of the object are input by the input pen 9 on the motion simulation screen W1 temporarily stopped (FIG. 26 (d)) (FIG. 25). Steps H17 to H19 shown in FIG.

  Then, the CPU 32 determines that the inputted character formulas L81 and L83 and the arrows V81 and V83 are correct, and the displayed character formulas L81 and L83 and the arrows V81 and V83 are deleted from the motion simulation screen W1. Then, the moving image is resumed (FIG. 26 (e)) (corresponding to steps H21 → H23 → H25 → H27 → H15 shown in FIG. 25).

  As described above, according to the eighth embodiment, the moving image of the moving object is displayed, and the moving image is temporarily stopped by specifying the display screen. When a character expression and an arrow representing a physical quantity are input to the temporarily stopped display screen, it is determined whether or not the input character expression and the direction of the arrow are correct as the motion state of the object. If it is determined to be correct, the entered character formula and arrow are deleted from the screen, and the display of the moving image is resumed. This allows the user to input a character expression representing a physical quantity and an arrow in a state where the video is paused at a desired position, so that the input character expression and the direction of the arrow are correct as the motion state of the object. You can know if there is. Therefore, it is possible to realize a motion simulation device that visually grasps the motion state of an object and is convenient for learning the motion state.

[Embodiment 9]
Next, a ninth embodiment of the graph scientific calculator 1 to which the present invention is applied will be described. The graph scientific calculator 1 in the ninth embodiment has a configuration in which the RAM 34 and the ROM 36 in the first embodiment shown in FIG. 3 are replaced with a RAM 34k and a ROM 36k. The same components as those in the first embodiment are denoted by the same reference numerals, and steps having the same processing contents as the steps of the motion simulation process in FIG. 4 are denoted by the same reference numerals and description thereof is omitted.

  FIG. 27 is a diagram illustrating the configuration of the RAM 34k and the ROM 36k according to the ninth embodiment. According to FIG. 27A, the RAM 34k includes an object initial information storage area 340, a moving image data storage area 342, a contact physical quantity storage area 344, a contact moving direction storage area 346, and a selected object information storage area 372. And a previous physical quantity storage area 382 and a previous movement direction storage area 384.

  The selected object information storage area 372 is a storage area for storing the object name of the object selected by the user.

  According to FIG. 27B, the ROM 36k stores an object selection simulation program 360k for realizing an object selection simulation process which is a characteristic process of the ninth embodiment. When the CPU 32 detects the simulator mode ON operation by the user, the CPU 32 reads the object selection simulation program 360k from the ROM 36k and develops it in the RAM 34k to start the object selection simulation process.

  Next, the operation of the object selection simulation process of the graph scientific calculator 1 will be described below with reference to the flowchart showing the operation of the graph scientific calculator 1 in FIG.

  First, after the power of the graph scientific calculator 1 is turned on by the user, when the simulator mode ON operation is detected (step A1: Yes), the CPU 32 reads the object selection simulation program 360k from the ROM 36k and develops it in the RAM 34k. The object selection simulation process is started to switch to the simulator mode (step A3).

  When the object initial information of the objects T1 and T3 input by the user is stored in the object initial information storage area 340 (step A5 → A7), the CPU 32 selects one of the objects stored in the object initial information. (Step K8-1). Specifically, the object selection screen W91 is displayed on the display unit 46, and the object is selected by inputting the object name. In addition, it is good also as not only selecting by the input of an object name but selecting an object by tapping in on the object of the display part 46. FIG.

  When an object is selected (step K8-1: Yes), the selected object name is stored in the selected object information storage area 372 (step K8-2), and the CPU 32 waits until the execution key is pressed (step K8-2). Step A9). When the execution key is pressed (step A9: Yes), the moving image data at time t related to the selected object is read from the moving image data storage area 342, and a moving image based on the read moving image data is displayed on the display unit 46 ( Step K13).

  FIG. 29 is a diagram illustrating an example of screen transition of a specific display screen. Hereinafter, it will be described together with an operation example.

  First, when the user turns on the simulator mode and inputs the object initial information and then presses the execution key, the motion simulation screen W1 is displayed on the display unit 46. Then, the object T1 and the object T3 based on the initial object information are displayed on the motion simulation screen W1 (FIG. 29A). (Corresponding to steps A1 → A3 → A5 → A7 shown in FIG. 28)

  When the user displays the object selection screen W91 on the motion simulation screen W1 and inputs the object name “B” of the object T3 (FIG. 29B), the object T1 is erased from the motion simulation screen W1 and the object T3 is displayed. Only the moving image is displayed (FIG. 29C) (corresponding to steps K8-1 → K8-2 → A9 → A11 → K13 shown in FIG. 28).

  Then, at the time when the object T1 and the object T3 collide, a character expression L3 representing the impulse of the physical quantity of the object T3 and an arrow V3 as a motion vector representing the physical quantity and the moving direction are displayed (FIG. 29 (d). )) (Corresponding to steps A15 to A17 shown in FIG. 28). Thereafter, the displayed character formula L3 and the arrow V3 are erased from the motion simulation screen W1, and the object T3 moves in the direction of the arrow V3 (FIG. 29E) (steps A15 → A19 shown in FIG. 28). → Equivalent to A21 → A23 → K13)

  As described above, according to the ninth embodiment, when an arbitrary object is selected from the displayed objects, a moving image of only the selected object is displayed. Furthermore, if there is a change in the physical quantity and moving direction of the object, a character expression representing the physical quantity (impulse) at the time of the change and an arrow representing the motion vector of the object are displayed. Thereby, the user can select an object to be noticed from the displayed objects, and can observe the motion state of the object with emphasis on the selected object. Therefore, it is possible to realize a motion simulation device that can visually grasp the motion state of an object and learn it in an easy-to-understand manner.

[Embodiment 10]
Next, an embodiment 10 of the graph scientific calculator 1 to which the present invention is applied will be described. The graph scientific calculator 1 in the tenth embodiment has a configuration in which the RAM 34 and the ROM 36 in the first embodiment shown in FIG. 3 are replaced with a RAM 34m and a ROM 36m. The same components as those in the first embodiment are denoted by the same reference numerals, and steps having the same processing contents as the steps of the motion simulation process in FIG. 4 are denoted by the same reference numerals and description thereof is omitted.

  FIG. 30 is a diagram illustrating configurations of the RAM 34m and the ROM 36m according to the tenth embodiment. 30A, the RAM 34m has an object initial information storage area 340, a moving picture data storage area 342, a moving picture data storage area with vector 378, a moving picture data storage area 371 for trajectory, and a tab information storage area 373. And is configured.

  The moving image data storage area with vector 378 is a storage area for storing moving image data with vector. The moving image data with vector is moving image data when the display mode of the display screen is the vector mode. Specifically, the moving image data stored in the moving image data storage area 342 includes display data of an arrow that is a motion vector of the object. It is the display information which attached | subjected.

  The locus moving image data storage area 371 is a storage area for storing locus moving image data. The moving image data for the trajectory is moving image data when the display mode of the display unit 46 is the trajectory mode. Specifically, the trajectory moving image data is display information for representing the transition (change) of the position coordinates due to the movement of the object as a trajectory.

  The tab information storage area 373 is a storage area for storing tab information indicating the display mode of the currently selected display screen. Specifically, a moving image mode for displaying a moving image based on moving image data stored in the moving image data storage area 342, a vector mode for displaying a moving image based on moving image data with a vector, and a moving image based on moving image data for trajectory are displayed. One of tab names “Movie”, “Vector”, and “Locus” for identifying the trajectory mode is stored.

  According to FIG. 30B, the ROM 36m stores a mode selection simulation program 360m for realizing the mode selection simulation process which is a characteristic process of the tenth embodiment. When the CPU 32 detects the simulator mode ON operation by the user, the CPU 32 reads the mode selection simulation program 360m from the ROM 36m and develops it in the RAM 34m to start the mode selection simulation process.

  Next, the operation of the mode selection simulation process of the graph scientific calculator 1 will be described below with reference to the flowchart showing the operation of the graph scientific calculator 1 in FIG.

  First, after the power of the graph scientific calculator 1 is turned on by the user, when the simulator mode ON operation is detected (step A1: Yes), the CPU 32 reads the mode selection simulation program 360m from the ROM 36m and expands it in the RAM 34m. The mode selection simulation process is started to switch to the simulator mode (step A3).

  The object initial information of the objects T101 and T103 input by the user is stored in the object initial information storage area 340 (step A3 → A5). Then, when moving image data is calculated based on the object initial information related to the objects T101 and T103 and the calculated moving image data is stored in the moving image data storage area 342 (step A11), the CPU 32 detects the object initial information related to the objects T101 and T103. Based on the above, the moving image data with vector is calculated, and the calculated moving image data with vector is stored in the moving image data storage area with vector 378 (step M13).

  Next, the CPU 32 calculates trajectory moving image data based on the object initial information related to the objects T101 and T103, and stores the calculated trajectory moving image data in the trajectory moving image data storage area 371 (step M15).

  Then, the CPU 32 reads the tab information stored in the tab information storage area 373 (step M17), and stores the moving picture data corresponding to the tab information at time t as the moving picture data storage area 342, the moving picture data storage area with vector 378 or It is selected and read out from any of the locus moving image data storage areas 371. The CPU 32 displays a moving image based on the read moving image data on the display unit 46 (step M19).

  Next, the CPU 32 determines whether or not a tab switching operation (for example, a tap-in operation) by the user has been performed (step M21). If it is determined that a tab switching operation has been performed (step M21: Yes), the tab information in the tab information storage area 373 is updated based on the switched tab (step M23).

  If it is determined in step M21 that the tab switching operation is not performed (step M23: No), or after the process of step M23, whether or not an instruction input for ending the mode selection simulation process is performed by the user. A determination is made (step M25). If it is determined that an instruction is input (step M25: Yes), the mode selection simulation process is terminated. If it is determined that no instruction is input (step M25: No), the predetermined time Δt is added to the time t (step M27), and the process proceeds to step M19.

  FIG. 32 is a diagram illustrating an example of a display screen when a moving image representing how an object moves in each display mode is displayed as a specific screen example.

  FIG. 32A is an example of a display screen in the moving image mode. At this time, a moving image of the object T101 and the object T103 based on the moving image data stored in the moving image data storage area 342 is displayed on the motion simulation screen W1.

  FIG. 32B is an example of a display screen in the vector mode. At this time, a moving image of the object T105 and the object T107 based on the moving image data stored in the moving image data storage area with vector 378 is displayed on the motion simulation screen W1. In particular, FIG. 32B is a display screen when the object T105 is moving, and the object T105 is displayed with an arrow V101 that is a motion vector.

  FIG. 32C is an example of a display screen in the trajectory mode. At this time, the moving image of the trajectory lines L101 and L103 based on the moving image data stored in the moving image data storage area 371 for trajectory is displayed on the motion simulation screen W1. Trajectory lines L101 and L103 represent the trajectories of the object T101 and the object T103 shown in FIG. Further, the locus line L101 is gradually drawn from the start point P101 of the object T101. Further, the trajectory line L103 is gradually drawn from the collision position P103, which is the position where the object T101 and the object T103 collide, thereby realizing the moving image display of the trajectory lines L101 and L103.

  When the user taps on the tab name TB103 in the moving image mode, the motion simulation screen W1 in the moving image mode is switched to the vector mode (FIG. 32B). Further, when the tab name TB105 is tapped in, the mode is switched to the trajectory mode (FIG. 32C) (corresponding to steps M21 → M23 → M25 → M27 → M19 shown in FIG. 31).

  As described above, according to the tenth embodiment, the moving image corresponding to the tab information is appropriately displayed by switching the tab representing the display mode. Thereby, the user can select a display mode suitable for the purpose of learning while displaying a moving image. Accordingly, it is possible to realize a motion simulation apparatus that can grasp the motion state of an object from various angles and can easily learn it.

  In addition, although it demonstrated as three display modes, animation mode (Movie), vector mode (Vector), and locus | trajectory mode (Locus), what can apply this invention is not restricted to this, It can change suitably. . For example, physical quantity data (for example, impulse data) of the object is calculated in accordance with the update of the moving image display, and the calculated physical quantity data is displayed on the display unit 46. Then, a physical quantity display mode may be provided in which the displayed physical quantity data is constantly updated and displayed in accordance with the movement of the object.

[Embodiment 11]
Next, an eleventh embodiment of the graph scientific calculator 1 to which the present invention is applied will be described. The graph scientific calculator 1 in the eleventh embodiment has a configuration in which the RAM 34 and the ROM 36 in the first embodiment shown in FIG. 3 are replaced with a RAM 34n and a ROM 36n. The same components as those in the first embodiment are denoted by the same reference numerals, and steps having the same processing contents as the steps of the motion simulation process in FIG. 4 are denoted by the same reference numerals and description thereof is omitted.

  FIG. 33 is a diagram illustrating the configuration of the RAM 34n and the ROM 36n according to the eleventh embodiment. 33A, the RAM 34n includes an object initial information storage area 340, a moving image data storage area 342, a physical quantity mathematical formula data storage area 375, a previous physical quantity data storage area 377, and a current physical quantity data storage area 379. The change physical quantity data storage table 380 is configured.

The physical quantity formula data storage area 375 is a storage area for storing physical quantity formula data. The physical quantity formula data, there string representing the formula of the physical quantity in the dynamics operation, for example, a representative of the "F · Delta] Tx" and kinetic energy that represents the screen lateral impulse "mv ^2/2" or the like.

  The current physical quantity data storage area 379 is a storage area for storing the current physical quantity data calculated by the CPU 32. The immediately preceding physical quantity data storage area 377 is a storage area for storing the physical quantity data calculated by the CPU 32 in the immediately preceding process.

  The change physical quantity data storage table 380 is a data table for storing time t and physical quantity data in association with each other, and a storage area is dynamically secured by the exercise information storage process. FIG. 33C is a diagram illustrating an example of a table configuration of the changing physical quantity data storage table 380. As shown in the figure, a record storing time t and physical quantity data in association with each other is accumulated. For example, physical quantity data “25 N · t” is associated with time “2” and stored as one record.

  According to FIG. 33B, the ROM 36n stores an exercise information storage program 360n for realizing an exercise information storage process which is a characteristic process of the eleventh embodiment. When detecting the simulator mode ON operation by the user, the CPU 32 reads the exercise information storage program 360n from the ROM 36n and expands it in the RAM 34n to start the exercise information storage process.

  Next, the operation of the exercise information storage process of the graph scientific calculator 1 will be described below using a flowchart representing the operation of the graph scientific calculator 1 in FIG.

  First, after the power of the graph scientific calculator 1 is turned on by the user, when the simulator mode ON operation is detected (step A1: Yes), the CPU 32 reads the exercise information storage program 360n from the ROM 36n and develops it in the RAM 34n. The exercise information storage process is started to switch to the simulator mode (step A3).

  The object initial information of the object T110 and the surface S110 input by the user is stored in the object initial information storage area 340 (step A3 → A5). When the execution key is pressed (step A9: Yes), moving image data is calculated based on the input object initial information, and the calculated moving image data is stored in the moving image data storage area 342 (step A11). Next, the CPU 32 determines whether or not a physical quantity designation operation has been performed by the user (step N13). The physical quantity designating operation is an operation for designating a mathematical formula of physical quantity data to be stored in the changing physical quantity data storage table 380. For example, it is specified by tapping one mathematical expression among a plurality of physical quantity candidate candidates displayed on the display unit 46.

  When the physical quantity specifying operation is performed (step N13: Yes), the CPU 32 stores the specified physical quantity formula in the physical quantity formula data storage area 375. Then, based on the moving image data stored in the moving image data storage area 342, an image at time t is displayed on the display unit 46 (step N15).

  Next, the CPU 32 reads the physical quantity data immediately before time t (time t−Δt) from the immediately preceding physical quantity data storage area 377 (step N17). Then, the physical quantity data at time t is calculated, and the calculated physical quantity data is stored in the current physical quantity data storage area 379 (step N19).

  The CPU 32 compares the read physical quantity data at time t-Δt with the calculated physical quantity data at time t (step N21), and determines whether there is a change between the physical quantity data at time t-Δt and the physical quantity data at time t. Is determined (step N23). If the CPU 32 determines that there has been a change (step N23: Yes), the CPU 32 secures a storage area with time data attached to the physical data storage table 380 at the time of change, and stores the physical quantity data at time t in the reserved storage area ( Step N25). Next, the CPU 32 displays the calculated physical quantity data on the display unit 46 (step N27).

  When it is determined in step N23 that there is no change (step N23: No), or after the process of step N27, the CPU 32 immediately precedes the physical quantity data at time t, that is, the physical quantity data currently stored in the physical quantity data storage area 379. It is stored in the physical quantity data storage area 377 (step N29).

  The CPU 32 determines whether or not an instruction input for ending the exercise information storage process has been made (step N31). If it is determined that an instruction is input (step N31: Yes), the time data and physical quantity data stored in the changing physical quantity data storage table 380 are displayed in a list on the display unit 46, and exercise information storage processing is performed. finish. If it is determined that no instruction is input (step N31: No), the predetermined time Δt is added to the time t (step N35), and the process proceeds to step N15.

  FIG. 35 is a diagram illustrating an example of screen transition of a specific display screen. Hereinafter, it will be described together with an operation example.

  First, after the user turns on the simulator mode and inputs the initial object information, the execution key is pressed, and when the impulse (F · ΔtX) in the horizontal direction of the screen is designated by the physical quantity designation operation, the motion simulation is displayed on the display unit 46. A screen W1 is displayed. Then, the object T110 and the surface S110 based on the object initial information are displayed on the motion simulation screen W1 (FIG. 35A) (in steps A1 → A3 → A5 → A7 → A9 → A11 shown in FIG. 34). Equivalent).

  Thereafter, the object T110 moves straight toward the surface S110 as shown in FIG. When the object T110 and the surface S110 collide at the time “2”, it is determined that the impulse at the time t−Δt of the object T110 calculated by the CPU 32 and the impulse at the time t have changed. Then, a storage area M110 for one record with time data “2” is secured in the physical quantity data storage table 380 at the time of change, and the current impulse “25N · t” in the horizontal direction of the screen is stored in the storage area M110. The Further, the physical quantity data D110 “−25N · t” is displayed on the motion simulation screen W1 together with a mathematical expression L112 “F · ΔtX” representing the impulse in the horizontal direction of the screen designated by the physical quantity designation operation. Further, auxiliary information L114 for calculating the impulse in the horizontal direction of the screen and an arrow V110 are displayed (FIG. 35 (d)) (corresponding to steps N15 to N23 → N25 → N27 shown in FIG. 34).

  When the user inputs an instruction for ending the exercise information storage process, a mathematical expression L116 that represents the impulse in the horizontal direction of the screen with the time data stored in the change physical quantity data storage table 380, and the time data The physical quantity data L118 recorded in the corresponding change physical quantity data storage table 380 is displayed as a list (FIG. 35 (e)) (corresponding to steps N31 → N33 shown in FIG. 34).

  As described above, according to the eleventh embodiment, when the physical quantity data of an object changes, the physical quantity data at that time is displayed. Thereby, the user can learn mainly the change of the physical quantity data as a learning point by the physical quantity data displayed when the physical quantity data changes.

  Further, the physical quantity data at the time when the physical quantity data changes is stored in association with time data. Then, the stored physical quantity data is read and displayed in a list. Thereby, the user can learn collectively the change of the physical quantity data of the object and the time of the change. Therefore, it is possible to realize a motion simulation device that can visually grasp the motion state of an object and learn it in an easy-to-understand manner.

  As described above, the eleventh embodiment has been described as an independent embodiment, but a graph scientific calculator in which the respective embodiments are appropriately combined may be realized. For example, the graph function is configured so that the exercise simulation program 360 of the first embodiment and the display color change program 360b of the second embodiment are integrated and stored in the ROM, and the process combining the exercise simulation process and the display color change process is executed. A calculator may be configured. Specifically, when it is determined that the object is in contact with the program in which the process of step B17 of the display color changing process shown in FIG. 7 is inserted after step A17 of the motion simulation process shown in FIG. Is displayed with an arrow indicating the physical quantity of the object and the moving direction, and the display color of the object is switched according to the physical quantity. As a result, a change in the physical quantity of the object can be recognized by two of the character expression of the physical quantity and the display color, so that the motion state of the object can be learned more effectively.

  In addition, although the motion simulation in each of the above-described embodiments has been described by taking, for example, a collision between an object and a falling motion of an object as an example, the present invention is not limited to this and may be changed as appropriate. Is possible. For example, by calculating the change in kinetic energy of an object suspended by a spring per unit time and displaying the calculated kinetic energy in accordance with the elastic motion video of the spring, a motion simulation of the elastic motion of the spring is performed. It is good.

An example of an overview of a graph scientific calculator. The block diagram which shows an example of a function structure of a graph scientific calculator. (A) in Embodiment 1 is a figure which shows an example of a structure of RAM, (b) is a figure which shows an example of a structure of ROM. 5 is a flowchart for explaining a motion simulation process in the first embodiment. The figure which shows the example of the screen transition for demonstrating the example of a screen of the graph scientific calculator in Embodiment 1. FIG. (A) in Embodiment 2 is a figure which shows an example of a structure of RAM, (b) is a figure which shows an example of a structure of ROM. 9 is a flowchart for explaining display color change processing according to the second embodiment. The figure which shows the example of the screen transition for demonstrating the example of a screen of the graph scientific calculator in Embodiment 2. FIG. (A) in Embodiment 3 is a figure which shows an example of a structure of RAM, (b) is a figure which shows an example of a structure of ROM. 10 is a flowchart for explaining position designation simulation processing according to the third embodiment. The figure which shows the example of the screen transition for demonstrating the example of a screen of the graph scientific calculator in Embodiment 3. FIG. (A) in Embodiment 4 is a figure which shows an example of a structure of RAM, (b) is a figure which shows an example of a structure of ROM. 10 is a flowchart for explaining range designation simulation processing according to the fourth embodiment. The figure which shows the example of the screen transition for demonstrating the example of a screen of the graph scientific calculator in Embodiment 4. FIG. (A) in Embodiment 5 is a figure which shows an example of a structure of RAM, (b) is a figure which shows an example of a structure of ROM. 10 is a flowchart for explaining a first spreadsheet simulation process in the fifth embodiment. The figure which shows the example of the screen transition for demonstrating the example of a screen of the graph scientific calculator in Embodiment 5. FIG. (A) in Embodiment 6 is a figure which shows an example of a structure of RAM, (b) is a figure which shows an example of a structure of ROM. 10 is a flowchart for explaining a second spreadsheet simulation process in the sixth embodiment. The figure which shows an example of the display screen for demonstrating the example of a screen of the graph scientific calculator in Embodiment 6. FIG. (A) in Embodiment 7 is a figure which shows an example of a structure of RAM, (b) is a figure which shows an example of a structure of ROM. 18 is a flowchart for explaining object information-specific frame display processing according to the seventh embodiment. The figure which shows the example of the screen transition for demonstrating the example of a screen of the graph scientific calculator in Embodiment 7. FIG. (A) in Embodiment 8 is a figure which shows an example of a structure of RAM, (b) is a figure which shows an example of a structure of ROM. 10 is a flowchart for explaining object information input determination processing according to an eighth embodiment. The figure which shows the example of the screen transition for demonstrating the example of a screen of the graph scientific calculator in Embodiment 8. FIG. (A) in Embodiment 9 is a figure which shows an example of a structure of RAM, (b) is a figure which shows an example of a structure of ROM. 10 is a flowchart for explaining object selection simulation processing according to the ninth embodiment. The figure which shows the example of the screen transition for demonstrating the example of a screen of the graph scientific calculator in Embodiment 9. FIG. (A) in Embodiment 10 is a figure which shows an example of a structure of RAM, (b) is a figure which shows an example of a structure of ROM. 18 is a flowchart for explaining mode selection simulation processing according to the tenth embodiment. The figure which shows the example of the screen transition for demonstrating the example of a screen of the graph scientific calculator in Embodiment 10. FIG. (A) in FIG. 11 is a diagram showing an example of a configuration of a RAM, (b) is a diagram showing an example of a configuration of a ROM, and (c) is a diagram showing an example of a table configuration of a change physical quantity data storage table. 14 is a flowchart for explaining exercise information storage processing in the eleventh embodiment. The figure which shows the example of the screen transition for demonstrating the example of a screen of the graph scientific calculator in Embodiment 11. FIG.

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 Graph scientific calculator 3 Display 5 Operation input key 7 Cursor key 9 Input pen 11 Slot 11a Storage medium

Claims (20)

Input means for inputting initial motion information of a moving object;
Moving image data calculating means for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Video display control means for controlling video display by the video data calculated by the video data calculation means;
Detecting means for detecting a change in the motion state of the object during the moving image display by the moving image display control means;
A vector display control means for performing control to display a motion vector representing a motion state at the time of change on the moving image when the motion state is detected by the detection means;
A motion simulation apparatus comprising: Input means for inputting initial motion information of a moving object;
Moving image data calculating means for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Video display control means for controlling video display by the video data calculated by the video data calculation means;
Detecting means for detecting a change in the motion state of the object during the moving image display by the moving image display control means;
Display form control means for changing the display form of the object being displayed according to the change in the motion state detected by the detection means;
A motion simulation apparatus comprising: Input means for inputting initial motion information of a moving object;
Moving image data calculating means for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Video display control means for performing control to display a video based on the video data calculated by the video data calculation means on the display screen;
Position specifying means for specifying a position in the display screen;
Position determining means for determining whether or not the object has reached the position specified by the position specifying means during the moving image display by the moving image display control means;
A vector display control means for calculating a motion vector representing the motion state of the object at the determined time and determining to display the calculated motion vector on the display screen when it is determined by the position determination means When,
A motion simulation apparatus comprising: The position specifying means includes range specifying means for specifying a range of positions in the display screen;
The position determining means includes range determining means for determining whether or not the object is located within a range specified by the range specifying means.
The vector display control unit is configured to calculate a motion vector representing a motion state of the object and to display the calculated motion vector on the display screen when the range determination unit determines that the position is within the range. Having in-range display control means to perform,
The motion simulation apparatus according to claim 3. Input means for inputting initial motion information of a moving object;
Moving image data calculating means for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Video display control means for controlling video display by the video data calculated by the video data calculation means;
Detecting means for detecting a predetermined copy operation for moving image display by the moving image display control means;
When a copy operation is detected by this detection means, a physical quantity per unit time of the object being displayed on the moving image is calculated and displayed in a tabular form, and control is performed to specially display the physical quantity at the detected time. Physical quantity display control means;
A motion simulation apparatus comprising:   6. The physical quantity display control means includes direction identifier display control means for performing control for calculating a direction of movement of the object per unit time and displaying a direction identifier representing the calculated direction of movement. The motion simulation apparatus described in 1. Input means for inputting initial motion information of a moving object;
Moving image data calculating means for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Video display control means for controlling video display by the video data calculated by the video data calculation means;
By calculating a motion vector representing the motion state of the object during the moving image display by the moving image display control means, and displaying the calculated motion vector attached to a still image of the object, in conjunction with the moving image display. Still image interlocking display control means for performing control to change and display the form of the motion vector attached to the still image;
A motion simulation apparatus comprising: Input means for inputting initial motion information of a moving object;
Moving image data calculating means for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Video display control means for controlling video display by the video data calculated by the video data calculation means;
Pausing means for pausing the video display by the video display control means;
An input means for inputting an expected motion direction of the object at the time of being paused by the pause means;
A determination unit that calculates a motion direction of the object at the time when the object is temporarily stopped by the temporary stop unit, and determines whether or not the predicted motion direction is input by the input unit;
A moving image resuming unit for resuming the moving image display paused by the pausing unit when it is determined by the determining unit that they match;
A motion simulation apparatus comprising: Input means for inputting initial motion information of a plurality of moving objects;
Moving image data calculating means for calculating moving image data representing the movement of the plurality of objects based on the initial movement information input by the input means;
Video display control means for controlling video display by the video data calculated by the video data calculation means;
Selecting means for selecting any object from the plurality of objects;
A selected object moving image display control means for performing control to hide an object not selected by the selecting means and display a moving image by the selected object;
A motion simulation apparatus comprising: Input means for inputting initial motion information of a moving object;
Moving image data calculating means for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Video display control means for controlling video display by the video data calculated by the video data calculation means;
During the video display by the video display control means, calculating a motion vector representing the motion state of the object, adding the calculated motion vector, vector addition display control means for displaying the video of the object,
A trajectory display control means for displaying the trajectory of the movement of the object gradually according to the movement;
A motion simulation apparatus comprising: Input means for inputting initial motion information of a moving object;
Moving image data calculating means for calculating moving image data representing the movement of the object based on the initial movement information input by the input means;
Video display control means for controlling video display by the video data calculated by the video data calculation means;
Detecting means for detecting a change in the physical quantity of the object during moving image display by the moving image display control means;
When the detection unit detects that the physical quantity has changed, a recording unit that records the physical quantity in association with the time at which the change was detected;
Change physical quantity display control means for controlling display of the physical quantity recorded by the recording means;
A motion simulation apparatus comprising: On the computer,
An input function for inputting the initial motion information of the moving object;
A moving image data calculation function for calculating moving image data representing the movement of the object based on the initial movement information input by the input function;
A video display control function for controlling video display using the video data calculated by the video data calculation function;
A detection function for detecting a change in the motion state of the object during the video display by the video display control function;
A vector display control function for performing control to display a motion vector representing a motion state at the time of change on the moving image when it is detected that the motion state has been changed by this detection function;
A program to realize On the computer,
An input function for inputting the initial motion information of the moving object;
A moving image data calculation function for calculating moving image data representing the movement of the object based on the initial movement information input by the input function;
A video display control function for controlling video display using the video data calculated by the video data calculation function;
A detection function for detecting a change in the motion state of the object during the video display by the video display control function;
A display form control function for changing the display form of the object being displayed according to the change in the motion state detected by the detection function;
A program to realize On the computer,
An input function for inputting the initial motion information of the moving object;
A moving image data calculation function for calculating moving image data representing the movement of the object based on the initial movement information input by the input function;
A video display control function for performing control to display a video based on the video data calculated by the video data calculation function on the display screen;
A position specifying function for specifying a position in the display screen;
A position determination function for determining whether or not the object has reached the position specified by the position specifying function during the moving image display by the moving image display control function;
Vector display control for performing control to calculate a motion vector representing the motion state of the object at the determined time and to display the calculated motion vector on the display screen when it is determined that the position has been reached by the position determination function Function and
A program to realize On the computer,
An input function for inputting the initial motion information of the moving object;
A moving image data calculation function for calculating moving image data representing the movement of the object based on the initial movement information input by the input function;
A video display control function for controlling video display using the video data calculated by the video data calculation function;
A detection function for detecting a predetermined copy operation for moving image display by the moving image display control function;
When a copy operation is detected by this detection function, a physical quantity per unit time of the object being displayed on the moving image is calculated and displayed in a table format, and control is performed to display the physical quantity at the detected time as a special display. Physical quantity display control function,
A program to realize On the computer,
An input function for inputting the initial motion information of the moving object;
A moving image data calculation function for calculating moving image data representing the movement of the object based on the initial movement information input by the input function;
A video display control function for controlling video display using the video data calculated by the video data calculation function;
By calculating a motion vector representing the motion state of the object during the video display by the video display control function, and displaying the calculated motion vector attached to the still image of the object, in conjunction with the video display A still image interlocking display control function for performing control to change and display the form of the motion vector attached to the still image;
A program to realize On the computer,
An input function for inputting the initial motion information of the moving object;
A moving image data calculation function for calculating moving image data representing the movement of the object based on the initial movement information input by the input function;
A video display control function for controlling video display using the video data calculated by the video data calculation function;
A pause function to pause the video display by this video display control function,
An input function for inputting an expected motion direction of the object at the time of being paused by the pause function;
A determination function for calculating a motion direction of the object at the time of being paused by the pause function and determining whether or not the predicted motion direction is input by the input function;
A video resuming function for resuming the video display paused by the pause function when it is determined to match by the determination function;
A program to realize On the computer,
An input function for inputting initial motion information of a plurality of moving objects,
A moving image data calculation function for calculating moving image data representing a state in which the plurality of objects move based on the initial movement information input by the input function;
A video display control function for controlling video display using the video data calculated by the video data calculation function;
A selection function for selecting any object from the plurality of objects;
A selected object video display control function for performing control to hide an object that has not been selected by the selection function and to display a video by the selected object;
A program to realize On the computer,
An input function for inputting the initial motion information of the moving object;
A moving image data calculation function for calculating moving image data representing the movement of the object based on the initial movement information input by the input function;
A video display control function for controlling video display using the video data calculated by the video data calculation function;
During the video display by the video display control function, calculating a motion vector representing the motion state of the object, attaching the calculated motion vector, a vector addition display control function for displaying the video of the object,
A trajectory display control function for displaying a trajectory of the motion of the object gradually according to the motion;
A program to realize On the computer,
An input function for inputting the initial motion information of the moving object;
A moving image data calculation function for calculating moving image data representing the movement of the object based on the initial movement information input by the input function;
A video display control function for controlling video display using the video data calculated by the video data calculation function;
A detection function for detecting a change in the physical quantity of the object during video display by the video display control function;
When it is detected that the physical quantity has changed by this detection function, a recording function that records the physical quantity in association with the time at which the change is detected;
Change physical quantity display control function for controlling the display of physical quantities recorded by this recording function;
A program to realize

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