CN110009942B - Function experience device - Google Patents
Function experience device Download PDFInfo
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- CN110009942B CN110009942B CN201910292420.4A CN201910292420A CN110009942B CN 110009942 B CN110009942 B CN 110009942B CN 201910292420 A CN201910292420 A CN 201910292420A CN 110009942 B CN110009942 B CN 110009942B
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B5/00—Electrically-operated educational appliances
- G09B5/02—Electrically-operated educational appliances with visual presentation of the material to be studied, e.g. using film strip
Abstract
A function experience device relates to the technical field of function teaching and demonstration, and comprises a display, a central processing unit and a distance sensor; the central processing unit controls the display to display a preset number of functions selected by the testers; the central processing unit controls the display to display a coordinate system with time as an X axis and distance between the experiencer and the distance sensor as a Y axis after the experiencer selects a function, and standard function images of the selected function are displayed in the coordinate system according to the function selected by the experiencer; the central processing unit controls the display to generate and display a time-distance real-time curve or a time-distance real-time straight line which takes time as an abscissa and takes the real-time distance of an experiencer detected by the distance sensor as an ordinate.
Description
The technical field is as follows:
the invention relates to the technical field of function teaching and demonstration, in particular to a function experience device.
Background art:
definition of the function: given a number set a, the elements therein are assumed to be x. Now, a corresponding rule f is applied to the element x in a, and is denoted as f (x), and another number set B is obtained. Let the element in B be y. The equivalence relationship between y and x can be represented by y ═ f (x). We call this relation a functional relation, a function for short. The functional concept contains three elements: define field A, value field C and corresponding rule f. The core is the corresponding rule f, which is an essential feature of the functional relationship.
The primary function, the power function, the logarithmic function, the unitary quadratic function and the like are teaching contents in function teaching, in the education and teaching of the functions, a teacher generally adopts modes of instruction, formula reasoning calculation and graphic representation, and although the characteristics of various functions can be explained in detail in the traditional teaching mode, the traditional teaching mode has the disadvantages in teaching practice: firstly, learners cannot feel functional relationships intuitively, and the learners cannot know the speed of the change of y values when the independent variable x values in the functions y ═ f (x) are uniformly changed, so that the learners can only form fuzzy feelings on the corresponding functions and lack accurate knowledge; secondly, the teaching mode is boring and tedious, and learning interest of learners is difficult to be raised, so that the teaching effect is poor, and the learners can forget related knowledge quickly after learning.
The invention content is as follows:
in order to solve the above technical problems, the present invention provides a function experiencing apparatus, which enables a learner to intuitively and physically experience the change speed of the y value when the independent variable x value in the function y ═ f (x) is uniformly changed, so that the learner can intuitively recognize the learned function, and the teaching effect after use is good.
The invention is realized by the following technical scheme:
a function experience device is characterized by comprising a display, a central processing unit and a distance sensor;
the central processing unit controls the display to display a preset number of functions selected by the testers;
the central processing unit controls the display to display a coordinate system with time as an X axis and distance between the experiencer and the distance sensor as a Y axis after the experiencer selects a function, and standard function images of the selected function with time as an independent variable are displayed in the coordinate system according to the selected function of the experiencer;
the central processing unit controls the display to generate and display a time-distance real-time curve or a time-distance real-time straight line which takes time as an abscissa and takes the real-time distance of the experiencer detected by the distance sensor as an ordinate.
In another aspect of the invention, the functions for selection by the experiencer are displayed on the display in the form of function names or functional relationships.
In another aspect of the invention, the functions for selection by the experiencer include first-order functions, power functions, logarithmic functions, and unary-second-order functions.
In another aspect of the invention, the standard function image of the selected function has a display color different from a display color of the time-distance real-time curve or the time-distance real-time straight line.
In another aspect of the present invention, the system further includes a delay start switch, and after receiving a trigger signal of the delay start switch, the central processing unit controls the display to start generating and displaying the time-distance real-time curve or the time-distance real-time straight line after delaying a set time.
In another aspect of the invention, the central processing unit controls the display to display a countdown of the set time after receiving the trigger signal of the delay starting switch.
In another aspect of the invention, the set time is 3-10 s.
In another aspect of the invention, the device further comprises a linear runway, the linear runway is opposite to the display and the distance sensor, and distance scales with the position of the distance sensor as a starting point are arranged on the linear runway.
The invention has the beneficial effects that:
the function experiencing device can enable an experiencer to move in front of a distance sensor to generate a time-distance real-time curve or a time-distance real-time straight line, enable the experiencer to compare the time-distance real-time curve or the time-distance real-time straight line formed by the movement of the experiencer with a standard function image of a selected function, and enable the experiencer to control the moving speed of the experiencer according to the standard function image of the selected function so that the time-distance real-time curve or the time-distance real-time straight line formed by the movement of the experiencer can be attached to the standard. The experiencer can intuitively and vividly experience the change speed of the y value when the independent variable x value in the selected function y (f) (x) is uniformly changed in the comparison and the fitting process, so that the learners can intuitively know the learned function, the interestingness is strong, and the teaching effect is good after the learners use the learning function.
One aspect of the present invention has the advantage that the difference between the display color of the standard function image of the selected function and the display color of the time-distance real-time curve or time-distance real-time straight line enables the experiencer to conveniently and quickly distinguish the standard function image of the selected function from the time-distance real-time curve or time-distance real-time straight line formed by the movement of the experiencer.
The time delay starting switch has the advantages that the time delay starting switch enables an experiencer to have enough preparation time before the experiencer starts to generate a time-distance real-time curve or a time-distance real-time straight line through movement, the experience effect is better, and the implementation is easier.
One aspect of the invention has the beneficial effect that the countdown display enables the experiencer to accurately know the starting time before starting to move, and ensures that the experiencer starts to move in time.
The method has the advantages that the linear track with the distance scales is set to provide distance references of different positions for the experiencers, the experiencers can conveniently control the moving speed of the experiencers in the moving process, and the experiencers can more conveniently enable the experiencers to move to form time-distance real-time curves or time-distance real-time straight lines to be attached to standard function images of the selected functions.
Description of the drawings:
FIG. 1 is a side view of the overall external structure of the present invention.
In the drawings: 1. display 2, installation cabinet 3, host computer 4, distance sensor, 5, straight course.
The specific implementation mode is as follows:
the following describes the embodiments of the present invention with reference to the drawings and examples:
in the description of the present invention, it is to be understood that the description indicating the orientation or positional relationship is based on the orientation or positional relationship shown in the drawings only for the convenience of describing the present invention and simplifying the description, and does not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus, should not be construed as limiting the scope of the present invention.
In the description of the present invention, it is to be noted that, unless otherwise explicitly specified or limited, the terms "disposed," "connected," and "connected" are to be construed broadly, and may be, for example, fixedly connected, detachably connected, or integrally connected; can be mechanically or electrically connected; they may be connected directly or indirectly through intervening media, or they may be interconnected between two elements. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.
Example 1
A function experience device comprises an installation cabinet 2, a computer and a distance sensor 4 connected with the computer, wherein a display 1 of the computer is placed at the upper end of the installation cabinet 2, and a host 3 of the computer including a central processing unit is installed in the installation cabinet 2;
the central processing unit controls the display 1 to display a preset number of functions selected by the experiencer, wherein the functions selected by the experiencer comprise a primary function, a unitary quadratic function, a power function and a logarithmic function; in this embodiment, y ═ x +4 is used as the linear function, and a unary quadratic function is used
Power function adoption
The logarithmic function is 4-log (x), the function selected by the experiencer is displayed on the display 1 in the form of function name or function relation, and the experiencer selects one of the functions by clicking the mouse.
The central processing unit controls the display 1 to display a coordinate system which takes time as an X axis and takes the distance between the experiencer and the distance sensor 4 as a Y axis after the experiencer selects a function, and displays a standard function image of the selected function which takes time as an independent variable in the coordinate system according to the selected function of the experiencer; the Y-axis value range of the coordinate system is 4, and the Y-axis unit is meter; the X-axis is in seconds. The coordinate system only displays the content of the first quadrant, and the function equation is displayed beside the standard function image.
The central processor controls the display 1 to generate a time-distance real-time curve or a time-distance real-time straight line (the time-distance real-time straight line when the selected function is a linear function) which displays the time as an abscissa and the real-time distance of the experiencer detected by the distance sensor 4 as an ordinate.
The display color of the standard function image of the selected function is different from the display color of the time-distance real-time curve or the time-distance real-time straight line. In this embodiment, the display color of the standard function image of the selected function is blue, and the display color of the time-distance real-time curve or the time-distance real-time straight line is red. The computer system further comprises a delay starting switch, the delay starting switch can be a switch button connected with the computer host 3 or a button icon displayed on the display 1, and the delay starting switch is the button icon displayed on the display 1 and triggered by clicking of a mouse in the embodiment. And after receiving the trigger signal of the delay starting switch, the central processing unit delays the set time and controls the display 1 to start generating and displaying the time-distance real-time curve or the time-distance real-time straight line. And the central processing unit controls the display 1 to display the countdown of the set time after receiving the trigger signal of the delay starting switch. The set time is 3-10s, in this example 5 s. Still include straight line runway 5, straight line runway 5 is just to display 1 and distance sensor 4, be equipped with the distance scale that uses distance sensor 4 position as the starting point on straight line runway 5, distance scale uses meter as the unit in this embodiment, and distance sensor 4 position is 0m, and the position farthest from distance sensor 4 is 4 m.
When the time delay type linear runway is used, the experience unitary quadratic function is taken as an example, other people or an experiencer himself clicks the time delay starting switch, the experiencer prepares at a position 4m on the linear runway 5 (at a distance of 4m from the distance sensor 4), observes the countdown displayed by the display 1, starts to move to the distance sensor 4 when the countdown is finished, observes a time-distance real-time straight line formed by the self-movement on the display 1 in the moving process, and controls the speed and the direction of the self to enable a time-distance real-time curve to be displayed on the display 1
The standard function images of (2) are matched. The experiencer can intuitively and vividly experience the unary quadratic function in the moving process
The change speed and the change trend of the y value when the x value of the medium independent variable is uniformly changed enable learners to visually know the learned function, the interest is strong, and the teaching effect is good after the learners use the learning function.
Taking an experience linear function as an example, clicking a delay starting switch by others or an experiencer himself, preparing the experiencer at a position 4m (4 m away from a distance sensor 4) on a linear runway 5, observing countdown displayed by a display 1, moving towards the distance sensor 4 when the countdown is finished, observing a time-distance real-time straight line formed by the movement of the experiencer on the display 1 in the moving process, and controlling the speed of the experiencer to enable the time-distance real-time straight line to be matched with a standard function image of which the y is equal to-x +4 and displayed on the display 1. The experiencer can visually and vividly experience the change speed and the change trend of the y value when the value of the independent variable x in the linear function y-x +4 is uniformly changed in the moving process, so that the learners can visually know the learned function, the interestingness is strong, and the teaching effect is good after the learners use the learning function.
In summary, the above-mentioned embodiments are only preferred embodiments of the present invention, and all equivalent changes and modifications made in the claims of the present invention should be covered by the claims of the present invention.
Claims (8)
1. A function experience device is characterized by comprising a display, a central processing unit and a distance sensor;
the central processing unit controls the display to display a preset number of functions selected by the testers;
the central processing unit controls the display to display a coordinate system with time as an X axis and distance between the experiencer and the distance sensor as a Y axis after the experiencer selects a function, and standard function images of the selected function with time as an independent variable are displayed in the coordinate system according to the selected function of the experiencer;
the central processing unit controls the display to generate and display a time-distance real-time curve or a time-distance real-time straight line which takes time as an abscissa and takes the real-time distance of the experiencer detected by the distance sensor as an ordinate.
2. A function experience device as claimed in claim 1, wherein the function selected by the experiencer is displayed on the display in the form of a function name or a function relation.
3. A function experience device as claimed in claim 1 or 2, wherein the functions for the experiencer to select comprise first order functions, second order functions, power functions, and logarithmic functions.
4. A function experience device as claimed in claim 1 or 2, wherein the standard function image of the selected function has a display color different from that of the real-time-distance curve or the real-time-distance straight line.
5. The function experience device of claim 1, further comprising a delay start switch, wherein the central processing unit controls the display to start generating and displaying the time-distance real-time curve or the time-distance real-time straight line after receiving a trigger signal of the delay start switch and delaying for a set time.
6. The device as claimed in claim 5, wherein the central processing unit controls the display to display a countdown of the set time after receiving the trigger signal of the delay start switch.
7. The function experience device of claim 5, wherein the set time is 3-10 s.
8. The function experience device of claim 1, further comprising a linear track, wherein the linear track faces the display and the distance sensor, and the linear track is provided with a distance scale starting from the position of the distance sensor.
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| CN201910292420.4A CN110009942B (en) | 2019-04-11 | 2019-04-11 | Function experience device |
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| CN201910292420.4A CN110009942B (en) | 2019-04-11 | 2019-04-11 | Function experience device |
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