JP5454277B2 - Graphic display device and program - Google Patents

Description

  The present invention relates to a graphic display device and a program.

  Conventionally, a graphic display device that displays a graphic can calculate the area. For example, when a user designates at least one graphic from a plurality of graphic data, the total area of the designated graphic is calculated. Thus, the calculation result is displayed (for example, see Patent Document 1).

  By the way, when calculating the area of a figure having a complicated shape, it is often easy to calculate the area by inserting an auxiliary line.

JP 2000-285249 A

  However, in the conventional graphic display device, the total area of the designated graphic is simply displayed, so it is not possible to make the user think about how to insert the auxiliary line and the process of calculation, and a high learning effect is expected. I can't.

  The subject of this invention is providing the figure display apparatus and program which can improve the learning effect about calculation of an area.

In order to solve the above problems, the invention according to claim 1 is a graphic display device,
And FIG display control means for Ru display the Figure,
An auxiliary line drawing control means for drawing displaying the auxiliary line in response to a user operation,
Either before Symbol view and the auxiliary lines and a plurality of figures that can be extracted from the combined combination graph and a graphic designating means for designating as a designated shape in accordance with a user operation,
An operation symbol specifying means for specifying any of the four arithmetic operation symbols as a specified operation symbol in accordance with a user operation;
Formula display control means for displaying the specified figure and the specified calculation symbol side by side as an area calculation formula,
Formula corresponding area identification display control means for identifying and displaying a figure to be calculated by the area calculation formula in the combination figure,
It is characterized by providing.

The invention according to claim 2 is the graphic display device according to claim 1,
Multiplier input means for inputting a natural number as a multiplier in response to a user operation,
When a multiplication symbol is input as the designated operation symbol and the multiplier is input, a figure in the combination figure to be multiplied is specified as a figure to be multiplied, and a figure congruent with the multiplication target figure is specified. A multiplication joint figure detection means for detecting from within the combination figure,
The mathematical expression corresponding region identification display control means specifies a value obtained by subtracting 1 from the multiplier as the number of multiplication congruent figures, and the number of figures detected by the multiplication congruent figure detection means is equal to or greater than the number of multiplication congruent figures. In addition, the figure to be multiplied and the number of multiplication congruent figures out of the figures detected by the multiplication congruent figure detecting means are identified and displayed.

The invention according to claim 3 is the graphic display device according to claim 1 or 2,
A divisor input means for inputting a natural number as a divisor according to a user operation;
When a division symbol is input as the designated operation symbol and the divisor is input, a graphic in the combination graphic that is a target of the division is identified as a graphic to be divided, and a plurality of pieces that can be extracted into the graphic to be divided When the figure is included, a division congruent figure detecting means for detecting a figure congruent from the figure to be divided is provided,
The mathematical expression corresponding region identification display control means specifies a value obtained by dividing the number of figures detected by the division congruent figure detection means by the divisor as the number of division congruent figures, and the number of divided congruent figures is a natural number. The number of divisor congruence figures among the figures detected by the division congruent figure detection means is identified and displayed.

The invention according to claim 4 is the graphic display device according to any one of claims 1 to 3,
A designated figure area calculating means for calculating an area of the designated figure;
Designated graphic area display control means for displaying the calculation result by the designated graphic area calculating means;
It is characterized by providing.

The invention according to claim 5 is the graphic display device according to any one of claims 1 to 4,
When the designated figure is designated, calculation auxiliary information display control means for displaying calculation assistance information which is an aid in calculating the area of the designated figure is provided.

The invention according to claim 6 is the graphic display device according to any one of claims 1 to 5,
Calculation formula input means for inputting a specified figure calculation formula for calculating the area of the specified figure according to a user operation;
Determining means for determining whether the specified figure calculation formula is correct or incorrect;
A determination result display control means for displaying a determination result by the determination means;
Correct figure area display control means for displaying the result of calculating the area of the designated figure when the designated figure calculation formula for calculating the area of the designated figure is judged to be correct by the judging means;
It is characterized by providing.

According to the present invention, FIG appears, auxiliary line in response to a user operation is displayed drawing, one of a plurality of figures that can be extracted from the combination graph that combines Figure and the auxiliary line, according to a user operation As a specified figure, one of the four arithmetic symbols is specified as the specified calculation symbol according to the user operation, the specified figure and the specified calculation symbol are displayed side by side as the area calculation formula, and the figure to be calculated by the area calculation formula Is identified and displayed in the combined figure. In other words, the user can input an auxiliary line, and the user can specify a specified figure and a specified operation symbol, so that the user can think about how to insert the auxiliary line and the process of calculation, and the learning effect Can be increased.

It is a top view which shows schematic structure of a scientific calculator. It is a block diagram which shows the function structure of a scientific calculator. It is a flowchart which shows the flow of a figure area calculation process. It is a flowchart which shows the flow of a figure area calculation process. It is a flowchart which shows the flow of a figure area calculation process. It is a flowchart which shows the flow of a calculation auxiliary information creation process. (A) is a figure which shows a subject figure, (b) is a figure which shows a figure display data storage area. (A) is a figure which shows a combination figure, (b) is a figure which shows an extraction figure data storage area, (c) is a figure which shows a calculation auxiliary information storage area. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. (A) is a figure which shows a subject figure, (b) is a figure which shows a figure display data storage area. (A) is a figure which shows a combination figure, (b) is a figure which shows an extraction figure data storage area, (c) is a figure which shows a calculation auxiliary information storage area. (A) is a figure which shows a combination figure, (b) is a figure which shows an extraction figure data storage area, (c) is a figure which shows a calculation auxiliary information storage area. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. (A) is a figure which shows a subject figure, (b) is a figure which shows a figure display data storage area. (A) is a figure which shows a combination figure, (b) is a figure which shows an extraction figure data storage area, (c) is a figure which shows a calculation auxiliary information storage area. (A) is a figure which shows a combination figure, (b) is a figure which shows an extraction figure data storage area, (c) is a figure which shows a calculation auxiliary information storage area. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display.

  Hereinafter, an example of an embodiment according to the present invention will be described in detail with reference to the accompanying drawings. However, the scope of the invention is not limited to the illustrated examples.

[1.1 External configuration]
FIG. 1 is a plan view showing a schematic configuration of a scientific calculator 1 to which a graphic display device according to the present invention is applied.
As shown in the figure, the scientific calculator 1 includes an input key group 2 having various key groups and a display 3.

  The input key group 2 is a key group for receiving an input operation of a mathematical expression component such as a numerical value or an arithmetic symbol from a user or an instruction operation of various processes, and a plurality of keys each assigned a unique function. Has a key. In the present embodiment, the input key group 2 includes a numeric keypad 20, an operation symbol key 21, a cursor key 22, an EXE key 23, a DEL key 24, an EXIT key 25, a shift key 26, and the like.

  Among these keys, the numeric keypad 20 is a key for receiving a numerical input operation, and the arithmetic symbol key 21 is a symbol for arithmetic operations, parentheses, a tie line for fractions, a root sign (√), a logarithmic symbol, a constant (circumference “π”). And the speed of light “c”, etc.), a key for receiving input operations of various arithmetic symbols such as a trigonometric function symbol.

  The cursor key 22 is a key that is pressed when moving the cursor CR1 or the arrow cursor CR2 (see FIG. 9A, etc.) indicating the position to be edited or the position to be selected in the display 3 in a predetermined direction. In this embodiment, it is configured to be able to input in four directions, up, down, left and right.

  The EXE key 23 is a key that receives an input operation of a process execution instruction or a determination instruction. For example, after the mathematical expression is input, the EXE key 23 functions as a key that instructs the execution of the arithmetic process. The DEL key 24 is a key for receiving a deletion operation such as a numerical value or a calculation symbol displayed on the display 3. The EXIT key 25 is a key for receiving an input operation of an instruction to end various processes in the scientific calculator 1.

  The shift key 26 is a key that is pressed in combination with other keys when switching the function of each key. Specifically, for example, the “•” key of the numeric keypad 20 is operated in combination with the shift key 26 to function as a “=” key.

  The display 3 is composed of an LCD (Liquid Crystal Display), an ELD (Electronic Luminescent Display), etc. In addition to characters, symbols, mathematical formulas, calculation results, etc. according to the operation of the input key group 2, the scientific calculator 1 Various data necessary for use is displayed. Note that the display 3 in the present embodiment is integrally provided with a touch panel 30 over the entire display screen. In the figure, the shaded area in the display screen of the display 3 is a color corresponding to the code corresponding to this area (“B”: Blue (Blue), “M”: Magenta, “Y”). ": Yellow", "S": Light blue (Sky blue), "G": Green (Green)) indicates that the area is filled.

[1.2 Functional configuration]
Next, the functional configuration of the scientific calculator 1 will be described.
FIG. 2 is a block diagram illustrating a schematic functional configuration of the scientific calculator 1.

  As shown in this figure, the scientific calculator 1 includes a key input unit 14, a display unit 15, a recording medium reading unit 50, a RAM (Random Access Memory) 12, a storage unit 13, and a CPU (Central Processing Unit). 11.

  The key input unit 14 includes the input key group 2 described above, and outputs an operation signal corresponding to the pressed key to the CPU 11.

  The display unit 15 includes the display 3 described above, and displays various types of information on the display 3 in accordance with display signals from the CPU 11. Further, the display unit 15 includes a touch panel 30 provided integrally with the display 3, and outputs contact position information of the input pen with respect to the display screen to the CPU 11.

  The recording medium reading unit 50 reads programs, data, and the like from a recording medium 51 that stores programs, data, and the like. The recording medium 51 includes a magnetic or optical storage medium or a semiconductor memory, and stores various processing programs corresponding to the scientific calculator 1, data processed based on the various processing programs, and the like. . The recording medium 51 may be fixedly provided on the recording medium reading unit 50 or may be detachably mounted.

  The RAM 12 is a volatile memory that temporarily stores information, and has a plurality of work areas that store various programs to be executed and data related to these various programs. For example, the RAM 12 in the present embodiment has a graphic display data storage area 120, an extracted graphic data storage area 121, and a calculation auxiliary information storage area 122 as work areas.

  The graphic display data storage area 120 stores data necessary for displaying the problem calculation 300 for learning area calculation on the display 3 in a graphic area calculation process (see FIGS. 3 to 5) described later. It has become.

  In the present embodiment, in the graphic display data storage area 120, for example, as shown in FIG. 7 (b), the graphic name of the graphic composing the task diagram 300, the position of the graphic, and the graphic area calculation. Information regarding whether or not it is included in the figure (hereinafter referred to as “area calculation information”) is stored in association with it. In the present embodiment, problem drawing 300 is described as being configured by combining a plurality of figures, but problem drawing 300 may be constituted by a single figure.

Here, “position” refers to the coordinates and radius of the vertices of the figures constituting the task diagram 300. Specifically, for example, when the figure constituting the task diagram 300 includes a square or a rectangle, the position “(x _A , y _A ) − (x _B ) is associated with the figure name“ square ”or“ rectangle ”. , Y _B ) ”(coordinates of vertices facing each other on any one of the diagonal lines) are stored.

Further, for example, when the figure constituting the task diagram 300 includes a right triangle or a triangle other than the right triangle, the position “(x _A , y _A ) − is associated with the figure name“ right triangle ”or“ triangle ”. _{(x B, y B) -} (x C, y C) "(each vertex coordinates) are stored.

Also, for example, when a figure forming the task diagram includes a circle, the position “center: O = (x _O , y _O )” (center coordinates) and “radius: “r = r ₀ ” (length of radius) is stored.

Also, for example, when the figure constituting the task diagram 300 includes a sector, the position “center: O = (x _O , y _O )” (the central angle of the sector is formed in association with the figure name “sector”) The coordinates of the intersection of two sides), “radius: r = r ₀ ” (the length of each of the two sides forming the central angle of the sector) and “(x _A , y _A ) − (x _B , y _B ) "(the coordinates of the start point and end point of the sector arc).

  In addition, the “area calculation graphic” is a graphic to be calculated that performs area calculation among the graphic included in the task diagram 300. For example, when the corresponding figure is included in the area calculation figure, “include” is stored as the area calculation information, and when the corresponding figure is not included in the area calculation figure, “exclusion” is included as the area calculation information. Remembered. If it is unclear whether or not the corresponding figure is included in the area calculation figure, the area calculation information remains at the default setting.

  Specifically, for example, when the task diagram 300 is a graphic as shown in FIG. 7A, the graphic display data storage area 120 stores data as shown in FIG. Here, in FIG. 7A, the problem diagram 300 is indicated by a bold line, and the area calculation figure is identified by shading with a dot pattern.

  7A includes a square with a side length of “10”, and the square is included in the area calculation figure. As shown in the figure, the figure display data storage area 120 stores the figure name “square”, the position “(0,0)-(10,10)”, and the area calculation information “include” in association with each other. The

  7A includes a circle having a center coordinate of (5, 10) and a radius of “5”, and the circle is an area calculation graphic. 7B, the graphic display data storage area 120 has a graphic name “circle”, a position “center: O = (5, 10) radius: r = 5”, and an area. Calculation information “include” is stored in association with each other.

  7A includes a circle with a center coordinate of (5, 10) and a radius of “2.5”. Since it is not included in the calculated figure, as shown in FIG. 7B, the figure display data storage area 120 has a figure name “circle” and a position “center: O = (5, 10) radius: r = 2. .5 ”and the area calculation information“ exclusion ”are stored in association with each other.

  In the extracted graphic data storage area 121, data related to the extracted graphic extracted from the combination graphic 320 obtained by combining the task diagram 300 and the auxiliary line 310 in the graphic area calculation processing (see FIGS. 3 to 5) described later is stored. It is like that.

  In the present embodiment, in the extracted graphic data storage area 121, for example, as shown in FIG. 8B, the graphic number of the extracted graphic, the graphic name of the extracted graphic, the position of the extracted graphic, The identification color of the extracted graphic and the area calculation information of the extracted graphic are stored in association with each other.

  Here, the “figure number” is a number indicating the order in which the extracted figures are extracted. In the present embodiment, the extracted graphic is extracted from the combination graphic 320 in descending order of area, but the extraction graphic is extracted in any order, and may be extracted in ascending order of area, for example. .

  The “identification color” is a color used for identifying and displaying the corresponding extracted figure. In the present embodiment, “blue”, “magenta”, “yellow”, “light blue”, “green”,... Are set in ascending order of figure numbers. For example, when “blue” is stored as the identification color, the corresponding extracted graphic is identified and displayed by being painted in blue. In this embodiment, each extracted figure is described as being identified and displayed by painting it with a different color. However, if each extracted figure can be identified, the method of identification display is arbitrary. The extracted figure may be identified and displayed by shading with a shaded line of a different color, or may be identified and displayed by surrounding each extracted figure with a line of a different color. Further, the method of identification display is not limited to using colors (chromatic colors), and any method can be used as long as each extracted figure can be identified. For example, an achromatic color having different brightness (gradation) is used. May be used, different shading patterns may be used, or surrounding lines having different line types may be used.

  Specifically, the user operates the input key group 2 and inputs an auxiliary line 310 for area calculation into the task diagram 300 displayed on the display 3. When the auxiliary line 310 is input, a plurality of figures that can be extracted from the combination figure 320 that combines the problem diagram 300 and the auxiliary line 310 are extracted as extracted figures. For example, when the auxiliary line 310 having the start point coordinates (0, 10) and the end point coordinates (10, 10) is input to the task diagram 300 shown in FIG. FIG. 8A shows a figure as indicated by a thick line. In this case, the extracted graphic data storage area 121 stores data as shown in FIG.

  In the combination graphic 320 shown in FIG. 8A, a square having a side length of “10”, an upper half circle having a radius of “5”, a circle having a radius of “2.5”, and a radius of “10”. The upper half circle of “2.5” and the lower half circle of “2.5” can be extracted as extracted figures.

  And the size of the area of each extracted figure is (square with side length “10”)> (upper half circle with radius “5”)> (circle with radius “2.5”)> ( Since the radius is “the upper half circle of“ 2.5 ”) = (the lower half circle of the radius“ 2.5 ”), the figure numbers are in that order as shown in FIG. 8B. In addition, about the extraction figures with the same area, the order of extraction is arbitrary.

  The calculation auxiliary information storage area 122 stores calculation auxiliary information created in calculation auxiliary information creation processing (see FIG. 6) described later.

  In this embodiment, in the calculation auxiliary information storage area 122, for example, as shown in FIG. 8 (c), calculation auxiliary information that assists in calculating the figure number of the extracted figure and the area of the extracted figure. And position information regarding the position where the calculation auxiliary information is displayed are stored in association with each other.

  Here, “calculation auxiliary information” includes a right-angle mark indicating a right-angle portion in the figure, a center mark indicating the center point of the figure, the length of the side of the figure, the radius of the figure, and the like. The “position information” is the coordinates of the position where each piece of calculation auxiliary information is displayed.

  Specifically, for example, when the combination figure 320 is a figure as shown in FIG. 8A, the calculation auxiliary information storage area 122 stores data as shown in FIG. As shown in FIG. 8C, since the extracted figure with the figure number “1” is a square (see FIG. 8B), the right-angle portion of the extracted figure is associated with the figure number “1”. Calculation auxiliary information such as the right-angle mark shown, the vertical length of the extracted figure, and the horizontal side of the extracted figure is stored, and the right-angle mark, vertical length, and horizontal length are also stored. The position information related to the position for displaying the length is stored.

  Since the extracted figure with the figure number “3” is a circle (see FIG. 8B), a center mark indicating the center point of the extracted figure in association with the figure number “3” and the extracted figure The calculation auxiliary information such as the radius of the image is stored, and the position information regarding the position where the center mark, the radius, etc. are displayed is stored.

  Further, since the extracted figures of the figure numbers “2”, “4”, and “5” are the upper half circle or the lower half circle (see FIG. 8B), the figure numbers “2”, “4”, and “ 5 ”is stored in association with each of the center mark indicating the center point of the circle including the arc of the extracted figure on the circumference, and calculation auxiliary information such as the radius of the extracted figure, and the center mark, radius, etc. The position information related to the position for displaying is stored.

  The storage unit 13 is a non-volatile memory composed of a ROM (Read Only Memory) or the like, and stores various programs and various data. Specifically, the storage unit 13 stores an example graphic data file group 130 and a graphic area calculation program 131 as a program according to the present invention.

  The example graphic data file group 130 includes a plurality of example graphic data files 130a,. The example graphic data file 130a is given a file name, and stores data necessary for displaying the problem diagram 300 registered as an example on the display 3. In the present embodiment, in the example graphic data file 130a, the graphic name of the graphic composing the task diagram 300, the position of the graphic, and the area calculation information of the graphic are stored in association with each other.

  The graphic area calculation program 131 is a program for causing the CPU 11 to execute a graphic area calculation process (see FIGS. 3 to 5) described later.

  The CPU 11 centrally controls each part of the scientific calculator 1. Specifically, the CPU 11 expands a program specified from the system program and various application programs stored in the storage unit 13 in the RAM 12 and performs various processes in cooperation with the program expanded in the RAM 12. Run.

[1.3 Operation of scientific calculator]
Next, the operation of the scientific calculator 1 will be described.

  3 to 5 are flowcharts for explaining the operation of the graphic area calculation process. This graphic area calculation process is performed when the user inputs an execution instruction for the graphic area calculation process via the key input unit 14 while the graphic area learning mode is selected by the user. As a result of the area calculation program 131 being read out and appropriately expanded in the RAM 12, the graphic area calculation program 131 and the CPU 11 are executed in cooperation.

  As shown in FIG. 3, in the graphic area calculation process, first, the CPU 11 determines whether or not the user operates the input key group 2 to instruct to read out the example from the example graphic data file group 130 (step). S1).

  If it is determined in step S1 that the user is not instructed to read the example (step S1; No), the CPU 11 causes the user to operate the input key group 2 to form the desired task diagram 300. The graphic name and position are input (step S2), the graphic name and position are stored in the graphic display data storage area 120, and based on the graphic name and position, the graphic display area R1 (FIG. (See a) and the like) to display the task diagram 300 (step S3).

  Next, the CPU 11 causes the user to operate the input key group 2 to specify an area calculation figure from the assignment figure 300 (step S4), and for each figure constituting the assignment figure 300 based on the area calculation figure. Area calculation information (“include”, “exclude”, “include / exclude”, “−”) is determined and stored in the graphic display data storage area 120, and the area calculated graphic is identified in the problem diagram 300. It is displayed (step S5), and the process proceeds to step S8 described later. In the present embodiment, the area calculation figure is described as being identified and displayed by painting with a predetermined color such as gray. However, the area calculation figure can be identified and displayed by any method, for example, area calculation The figure may be identified and displayed by shading with a hatched line of a predetermined color, or the area calculation figure may be identified and displayed by surrounding it with a line of a predetermined color.

  If it is determined in step S1 that the user has instructed to read the example (step S1; Yes), the CPU 11 causes the user to operate the input key group 2 to specify a file name (step S6). The example graphic data file 130a to which the file name is assigned is acquired from the example graphic data file group 130, and the data stored in the example graphic data file 130a is stored in the graphic display data storage area 120, and the Based on the data, the task diagram 300 is displayed in the graphic display area R1 of the display 3 (step S7). In this embodiment, since the area calculation information is included in advance in the data stored in the example graphic data file 130a, the CPU 11 stores the area calculation graphic in the task diagram 300 in step S7. An identification display is provided.

  Next, the CPU 11 causes the user to operate the input key group 2 to input the auxiliary line 310 on the task diagram 300 (step S8), and then draws and displays the auxiliary line 310. As a result, a combination graphic 320 combining the task diagram 300 and the auxiliary line 310 is displayed in the graphic display area R <b> 1 of the display 3. Here, in the present embodiment, the auxiliary line 310 can be canceled by the user operating the input key group 2 at an arbitrary timing.

  Next, the CPU 11 extracts a plurality of figures that can be extracted from the combination figure 320 as an extracted figure in descending order of area (step S9), and displays the figure name and position, identification color, area calculation information, etc. of the extracted figure. The extracted figure is stored in the extracted figure data storage area 121 in association with the figure number indicating the order in which the extracted figure is extracted. In this embodiment, when there are extracted figures that are congruent with each other, if these figures are not in contact with each other, they will be described as setting the same identification color for these figures. Different identification colors may be set regardless of whether or not the figures are in contact with each other at the sides.

  Next, the CPU 11 refers to the extracted graphic data storage area 121 to display each extracted graphic on the display 3 in a corresponding color (step S10).

  Next, the CPU 11 determines whether or not the user operates the input key group 2 to instruct to display the calculation auxiliary information (step S11).

  If it is determined in step S11 that the user has not instructed to display the calculation assistance information (step S11; No), the CPU 11 proceeds to step S13 described later. If it is determined in step S11 that the user has instructed to display calculation auxiliary information (step S11; Yes), the CPU 11 performs calculation auxiliary information creation processing (step S12).

  Specifically, as shown in FIG. 6, in this calculation auxiliary information creation processing, the CPU 11 first sets “1” to the variable N (step S121), and the extracted figure with the figure number “N” is related to area calculation. It is determined whether or not to perform (step S122). Here, the CPU 11 refers to the extracted graphic data storage area 121 and when the area calculation information corresponding to the graphic number “N” is “include”, “exclude”, or “include / exclude”, the graphic number “ It is determined that the extracted figure “N” is related to area calculation.

  If it is determined in step S122 that the extracted graphic with the graphic number “N” is not related to area calculation (step S122; No), the CPU 11 proceeds to step S130 described later.

  If it is determined in step S122 that the extracted graphic with the graphic number “N” is related to area calculation (step S122; Yes), the CPU 11 refers to the extracted graphic data storage area 121 and refers to the graphic number “N”. It is determined whether the figure name corresponding to "" is "square" or "rectangular" (step S123).

  When it is determined in step S123 that it is “square” or “rectangular” (step S123; Yes), the CPU 11 uses the right-angle mark and the length of the vertical side as calculation auxiliary information for the extracted figure with the figure number “N”. And information including the position (coordinates) for displaying the right-angle mark, the length of the vertical side, and the length of the horizontal side as position information. It is stored in the calculation auxiliary information storage area 122 in association with “N” (step S124), and the process proceeds to step S130 described later.

  If it is determined in step S123 that it is not “square” or “rectangular” (step S123; No), the CPU 11 determines whether the figure name corresponding to the figure number “N” is “right triangle”. Is determined (step S125).

  If it is determined in step S125 that it is a “right triangle” (step S125; Yes), the CPU 11 uses the right-angle mark, the base length, and the height as calculation aid information for the extracted figure “N”. And information including the position (coordinates) for displaying the right-angle mark and the base length and height is created as position information, and associated with the figure number “N” and stored as calculation auxiliary information It memorize | stores in the area | region 122 (step S126), and transfers to step S130 mentioned later.

  If it is determined in step S125 that the triangle is not a “right triangle” (step S125; No), the CPU 11 determines whether the figure name corresponding to the figure number “N” is “circle” ( Step S127).

  If it is determined in step S127 that it is a “circle” (step S127; Yes), the CPU 11 creates information including a center mark and a radius as calculation auxiliary information for the extracted figure with the figure number “N”. As the position information, information including the position (coordinates) for displaying the center mark and the radius is created and stored in the calculation auxiliary information storage area 122 in association with the figure number “N” (step S128). The process proceeds to S130.

  If it is determined in step S127 that it is not a “circle” (step S127; No), the CPU 11 appropriately calculates calculation auxiliary information and position information according to the shape of the extracted figure with the figure number “N”. It is created and associated with the figure number “N” and stored in the calculation auxiliary information storage area 122 (step S129). Specifically, for example, the CPU 11 determines whether or not the extracted figure of the figure number “N” is a figure that can be calculated using a predetermined formula (hereinafter referred to as “calculatable figure”). When it is determined that the figure is a figure that can be calculated, calculation auxiliary information and position information are created and stored in the calculation auxiliary information storage area 122 in association with the figure number “N”. On the other hand, if it is determined that the figure is not a computable figure, the process proceeds to step S130 described later without creating calculation auxiliary information and position information.

  Next, the CPU 11 refers to the extracted graphic data storage area 121 to determine whether or not there is a next graphic number (step S130), and determines that there is a next graphic number (step S130; Yes). After increasing the variable N by 1 (step S131), the process proceeds to step S122. If it is determined that there is no next figure number (step S130; No), the calculation auxiliary information creation process is terminated.

  In the present embodiment, it has been described that the calculation auxiliary information is created when the extracted figure with the figure number “N” is related to the area calculation. For example, the extracted figure with the figure number “N” is the area calculation. Regardless of whether or not the figure is related to calculation, if the extracted figure is a figure that can be calculated, calculation auxiliary information may be created.

  When the above calculation auxiliary information creation processing is completed, the CPU 11 then operates the input key group 2 as shown in FIG. 3 so that one of a plurality of extracted figures from the combination figure 320 is designated as the designated figure. It is determined whether or not to designate (step S13). In the present embodiment, the user operates the cursor key 22 to move the arrow cursor CR2 (see FIG. 10A, etc.) displayed on the display 3 to a position overlapping the desired extracted figure, Thereafter, the EXE key 23 is operated to specify the desired extracted figure as the designated figure, but the other keys in the input key group 2 are manipulated to move the arrow cursor CR2 or the designated figure. Or may be specified.

  If it is determined in step S13 that the designated figure has been designated by the user (step S13; Yes), the CPU 11 displays on the display 3 that the designated figure is selected (step S14). In the present embodiment, it is described that the designated figure is displayed in a selected state by surrounding the designated figure with a red line P1 (see FIG. 10A, etc.). For example, the selected state may be displayed by painting the designated figure with a predetermined color, or the selected state may be displayed by blinking the designated figure.

  Here, in the present embodiment, the CPU 11 operates whenever the EXE key 23 is operated when the EXE key 23 is operated in a state where the arrow cursor CR2 is located at a portion where a plurality of extracted figures overlap. The designated figure is switched in descending order of the area among the plurality of extracted figures. Specifically, when the EXE key 23 is operated, the CPU 11 encloses the extracted figure having the largest area among the plurality of extracted figures as a designated figure with a red line P1, and when the EXE key 23 is operated again. The extracted figure having the next largest area is surrounded by a red line P1 as a designated figure. However, the order of switching the designated figure is arbitrary, and for example, it may be switched in ascending order of area.

  Next, the CPU 11 refers to the calculation auxiliary information storage area 122 and determines whether there is calculation auxiliary information corresponding to the designated figure (step S15).

  If it is determined in step S15 that there is no calculation assistance information corresponding to the designated figure (step S15; No), the CPU 11 proceeds to step S17 described later. If it is determined in step S15 that there is calculation auxiliary information corresponding to the designated figure (step S15; Yes), the CPU 11 determines the calculation auxiliary information based on the position information corresponding to the calculation auxiliary information. It is displayed on the display 3 (step S16).

  Next, the CPU 11 places the designated figure (more specifically, a thumbnail of the designated figure) in the area calculation formula at the current position of the cursor CR1 in the formula display area R2 (see FIG. 9A) of the display 3. It is displayed as a mathematical expression component (step S17). Then, the CPU 11 determines whether or not the designated figure calculation formula input mode is set (step S18). Here, the “designated figure calculation formula input mode” is a mode in which the user can input a calculation formula for calculating the area of the designated figure (hereinafter referred to as “designated figure calculation formula”). In the present embodiment, the designated figure calculation formula input mode can be set by the user operating the input key group 2 at an arbitrary timing.

  If it is determined in step S18 that the designated figure calculation formula input mode is not set (step S18; No), the CPU 11 calculates the area of the designated figure and displays the calculation result in the formula display area R2. Then, it is displayed in association with the thumbnail of the designated figure that has been set (step S19), and the process proceeds to step S13. In the present embodiment, when there is no calculation auxiliary information corresponding to the designated figure in the state where the calculation auxiliary information creation process (step S12) is performed, the area calculation result of the designated figure is not displayed. However, the area calculation result of the designated figure may be displayed regardless of the presence / absence of calculation auxiliary information corresponding to the designated figure.

  If it is determined in step S18 that the designated figure calculation formula input mode is set (step S18; Yes), the CPU 11 causes the user to operate the input key group 2 to input the designated figure calculation formula. (Step S20), whether the specified figure calculation formula is correct or not is determined (Step S21).

  If it is determined in step S21 that the designated figure calculation formula is correct (step S21; Yes), the CPU 11 causes the display 3 to display a correct message indicating that the designated figure calculation formula is correct (step S21). S22), the process proceeds to step S19, and the result of calculating the area of the designated figure is displayed.

  If it is determined in step S21 that the designated figure calculation formula is not correct (step S21; No), the CPU 11 causes the display 3 to display an incorrect message indicating that the designated figure calculation formula is incorrect. (Step S23), the process proceeds to Step S20, and the input of the specified figure calculation formula by the user is accepted again.

  If it is determined in step S13 that the designated figure has not been designated by the user (step S13; No), the CPU 11 operates the input key group 2 as shown in FIG. It is determined whether or not “+” (addition symbol), “−” (subtraction symbol), or “()” (parentheses) is input (step S24).

  If it is determined in step S24 that “+”, “−”, or “()” has been input by the user (step S24; Yes), the CPU 11 determines the current cursor in the expression display area R2 of the display 3. The corresponding operation symbol is displayed as a formula component of the area calculation formula at the position of CR1, and it is determined whether or not the figure to be calculated by the area calculation formula cannot be specified in the combination figure 320 (step S25).

  Specifically, for example, when “+” or “−” is input and ““ thumbnail of extracted graphic A ”+“ thumbnail of extracted graphic A ”−” is displayed as the area calculation formula, the same graphic Since the figure obtained by adding each other (extracted figures A) cannot be shown in the combination figure 320, it is determined that the figure to be calculated cannot be specified in the combination figure 320.

  For example, when “(” or “)” is input and “(“ thumbnail of extracted graphic A ”+“ thumbnail of extracted graphic A ”)” is displayed as the area calculation formula, the same graphic ( Since the figure obtained by adding the extracted figures A) cannot be shown in the combination figure 320, it is determined that the figure to be calculated cannot be specified in the combination figure 320.

  When it is determined in step S25 that the figure to be calculated by the area calculation formula can be specified in the combination figure 320 (step S25; No), the CPU 11 sets the figure to be calculated by the area calculation formula in the combination figure 320. The identification is displayed using the red diagonal line P2 (see FIG. 10B, etc.) (step S26), and the process proceeds to step S13. In the present embodiment, the figure to be calculated is described as being identified and displayed by shading with a red diagonal line P2. However, if the figure to be calculated can be identified, the method of identification display is arbitrary. For example, the figure to be calculated may be identified and displayed by shading with a diagonal line P2 of other colors, or may be identified and displayed by filling the figure to be calculated with a predetermined color. Alternatively, the figure to be calculated may be identified and displayed by surrounding it with a line of a predetermined color.

  When it is determined in step S25 that the figure to be calculated by the area calculation formula cannot be specified in the combination figure 320 (step S25; Yes), the CPU 11 determines that the area calculation formula is incorrect. The message is displayed on the display 3 (step S27), the mathematical expression component (“+”, “−” or “()”) displayed immediately before is canceled (step S28), and the process proceeds to step S13.

  If it is determined in step S24 that “+”, “−” or “()” is not input by the user (step S24; No), the CPU 11 operates the input key group 2 by the user. Then, it is determined whether or not “×” (multiplication symbol) and a natural number are input (step S29).

  If it is determined in step S29 that “x” and a natural number have been input by the user (step S29; Yes), the CPU 11 displays “x” at the current position of the cursor CR1 in the expression display area R2 of the display 3. And a natural number (multiplier) are displayed as formula components of the area calculation formula, a figure in the combination figure 320 to be multiplied is specified as a figure to be multiplied, and a figure congruent with the multiplication target figure is in the combination figure 320 (Step S30).

  Specifically, when it is determined that “x” and “2” have been input, the CPU 11 identifies the graphic “× 2” in the area calculation formula as the multiplication target graphic. More specifically, for example, when “×” and “2” are input and “... +“ thumbnail of extracted graphic A ”× 2” is displayed in the area calculation formula, “extracted graphic A” Is specified as a figure to be multiplied. Also, for example, when “×” and “2” are input and “... + (“ Thumbnail of extracted graphic A ”−“ thumbnail of extracted graphic B ”) × 2” is displayed as the area calculation formula. , A figure excluding “extracted figure B” from “extracted figure A” is specified as a figure to be multiplied. Here, the figure to be multiplied may be one extracted figure or a composite figure in which a plurality of extracted figures are combined.

  Next, in step S30, it is determined whether a figure congruent with the figure to be multiplied cannot be detected from the combination figure 320 (step S31).

  If it is determined in step S31 that a figure congruent with the figure to be multiplied can be detected from within the combined figure 320 (step S31; No), the CPU 11 subtracts 1 from the multiplier input by the user (multiplier). -1) is specified as the number of multiplication congruent figures, and it is determined whether or not the number of detected figures is equal to or greater than the number of multiplication congruent figures (step S32).

  If it is determined in step S32 that the number of detected congruent figures is equal to or greater than the number of multiply congruent figures (step S32; Yes), the CPU 11 performs multiplication of the multiplication target graphic and the detected congruent figure. The number of congruent figures is identified and displayed using the red diagonal line P2 (step S33), and the process proceeds to step S13.

  If it is determined in step S31 that a figure congruent with the figure to be multiplied cannot be detected from within the combination figure 320 (step S31; Yes), or the number of detected congruent figures in step S32 is a multiplication congruent figure. If it is determined that the number is not more than the number (step S32; No), the CPU 11 displays an incorrect message indicating that the area calculation formula is incorrect on the display 3 (step S34), and the mathematical formula displayed immediately before. The component (“×” and natural number) is canceled (step S35), and the process proceeds to step S13.

  When it is determined in step S29 that “x” and a natural number have not been input by the user (step S29; No), the CPU 11 operates the input key group 2 as shown in FIG. Then, it is determined whether or not “÷” (a division symbol) and a natural number are input (step S36).

  When it is determined in step S36 that “÷” and a natural number have been input by the user (step S36; Yes), the CPU 11 sets “÷” to the current position of the cursor CR1 in the formula display area R2 of the display 3. And a natural number (divisor) is displayed as a formula component of the area calculation formula, a figure in the combination figure 320 to be divided is specified as a figure to be divided, and a plurality of figures that can be extracted are included in the figure to be divided If it is determined, the extracted figure congruent with each other is detected from the figure to be divided (step S37). If the figure to be divided does not include a plurality of figures that can be extracted, the CPU 11 proceeds to the process of step S41.

  Specifically, when it is determined that “÷” and “2” have been input, the CPU 11 specifies a figure “÷ 2” in the area calculation formula as a figure to be divided. More specifically, for example, when “÷” and “2” are input and “... +“ Thumbnail of extracted graphic A ”÷ 2” is displayed in the area calculation formula, “extracted graphic A” Is specified as a figure to be divided. Also, for example, when “÷” and “2” are input and “... + (“ Thumbnail of extracted figure A ”−“ thumbnail of extracted figure B ”) ÷ 2” is displayed as the area calculation formula. , A figure excluding “extracted figure B” from “extracted figure A” is specified as a figure to be divided. Here, the division target graphic may be one extracted graphic or a composite graphic in which a plurality of extracted graphic data are combined.

  Next, in step S37, it is determined whether or not extraction figures that are congruent with each other from the figure to be divided cannot be detected (step S38).

  When it is determined in step S38 that extracted figure congruent with each other can be detected from the figure to be divided (step S38; No), the CPU 11 divides the number of detected figures by the divisor input by the user. (Detected number / divisor) is specified as the number of divided congruent figures, and it is determined whether or not the number of divided congruent figures is a natural number (step S39).

  When it is determined in step S39 that the number of divided congruent figures is a natural number (step S39; Yes), the CPU 11 displays the red diagonal line P2 for the number of divided congruent figures among the detected extracted congruent figures. The identification display is used (step S40), and the process proceeds to step S13.

  Further, when it is determined in step S38 that extraction figures that are mutually congruent from the division target figure cannot be detected (step S38; Yes), or when it is determined in step S39 that the number of division congruent figures is not a natural number (step S39). No), the CPU 11 causes the display 3 to display an incorrect message indicating that the area calculation formula is incorrect (step S41), and the mathematical expression component (“÷” and a natural number) displayed immediately before. Is canceled (step S42), and the process proceeds to step S13.

  If it is determined in step S36 that “÷” and a natural number have not been input by the user (step S36; No), the CPU 11 operates the input key group 2 so that “=” (etc. It is determined whether or not a (sign) is input (step S43).

  If it is determined in step S43 that “=” has been input by the user (step S43; Yes), the CPU 11 sets “=” as the area of the cursor CR1 at the current position in the formula display area R2 of the display 3. The figure is displayed as a formula component of the calculation formula, and the figure to be calculated by the area calculation formula is identified and displayed using the red oblique line P2 in the combination figure 320 (step S44). Then, at the current position of the cursor CR1 in the formula display area R2 of the display 3, the thumbnail of the graphic identified and displayed using the red diagonal line P2 in the combination graphic 320 is displayed as the calculation result of the area calculation formula. (Step S45), the numerical value of the calculation result is calculated and displayed in association with the thumbnail (Step S46), and the process proceeds to Step S13.

  If it is determined in step S43 that “=” is not input by the user (step S43; No), the CPU 11 operates the input key group 2 to instruct “return”. It is determined whether or not (step S47). In the present embodiment, it is described that the user operates the EXIT key 25 to instruct “return”, but operates other keys in the input key group 2 to instruct “return”. It is good to do.

  If it is determined in step S47 that “return” is not instructed by the user (step S47; No), the CPU 11 proceeds to the process of step S13. If it is determined in step S47 that “return” is instructed by the user (step S47; Yes), the CPU 11 displays all of the combination figures 320 displayed in the figure display area R1 and the expression display area R2. All of the displayed area calculation formulas are cancelled, and all the data in the graphic display data storage area 120, the extracted graphic data storage area 121, and the calculation auxiliary information storage area 122 are cleared, and the graphic area calculation process ends.

  In the present embodiment, when “=” is input, the processing after step S44 is performed without determining whether the figure to be calculated by the area calculation formula can be specified in the combination figure 320 or not. As will be described, it is determined whether or not the figure to be calculated by the area calculation formula can be specified in the combination figure 320. When it is determined that the calculation is possible, the processing after step S44 is performed. The processing after S44 may not be performed, and an incorrect message indicating that the area calculation formula is incorrect may be displayed on the display 3, the formula component of the area calculation formula may be canceled, and the process may proceed to step S13. . In this case, among the formula components of the area calculation formula, the formula component (“=”) displayed immediately before is canceled, but a plurality of formula components including the formula component displayed immediately before are deleted. May be canceled, or all the mathematical components may be canceled.

  Further, in the present embodiment, in step S28, step S35, and step S42, the mathematical expression component displayed immediately before is canceled from the mathematical expression components of the area calculation formula. However, the mathematical expression displayed immediately before is canceled. A plurality of mathematical expression components including the structural elements may be canceled, or all of the mathematical expression components may be canceled.

[1.4 Operation example]
Next, the operation of the scientific calculator 1 described above will be specifically described with reference to the drawings. In the following operation example, for simplification of description, out of the figures that can be extracted from the combination figure 320, only main ones related to the calculation of the area of the area calculation figure are extracted as the extraction figures and are used as the figure numbers. This will be described as being associated. Further, in the following operation example, description will be made assuming that an identification color is set and displayed only for those extracted figures necessary for calculating the area of the area calculation figure.

(Operation example 1)
The problem diagram 300 in the operation example 1 is assumed to be a figure indicated by a bold line in FIG. In the problem diagram 300 shown in FIG. 7A, the area calculation figure is identified by shading with a dot pattern. In the operation example 1, a case where the designated figure calculation formula input mode is not set will be described.

  First, when the user inputs the figure name and position of the figure constituting the desired assignment diagram 300 without instructing to read out the example from the example figure data file group 130 (step S1; No) (step S2), As shown in FIG. 7B, the graphic name and position are stored in the graphic display data storage area 120, and the problem diagram 300 is displayed in the graphic display area R1 based on the graphic name and position (step) S3).

  Next, when the user designates an area calculation figure from the task drawing 300 (step S4), the area calculation information is stored in the figure display data storage area 120 as shown in FIG. As shown in FIG. 9 (a), the area calculation graphic is identified and displayed in the task diagram 300 displayed in the graphic display area R1 (step S5).

  Next, when the user inputs the auxiliary line 310 on the task diagram 300 (step S8), the auxiliary line 310 is drawn and displayed, and a combined graphic 320 combining the task diagram 300 and the auxiliary line 310 is displayed in the graphic display area R1. Is displayed. Here, as shown in FIG. 8A, the user sets the start point coordinates (0, 10) and the end point coordinates (10) as the auxiliary line 310 with respect to the task diagram 300 (FIG. 7A). , 10) is input.

  Next, extracted figures are extracted from the combination figure 320 in descending order of area (step S9). As shown in FIG. 8B, data relating to the extracted figure is stored in the extracted figure data storage area 121, As shown in FIG. 9B, the extracted figure is displayed in the figure display area R1 in the corresponding color (step S10).

  Next, the user designates “upper half circle with radius“ 5 ”” as the designated figure from the combination figure 320 without instructing to display the calculation auxiliary information (step S11; No) (step S13; Yes). ), As shown in FIG. 10A, “upper half circle with radius“ 5 ”” is surrounded by a red line P1, and the fact that it is selected is displayed in the graphic display area R1 (step S14). .

  Next, since the calculation auxiliary information creation process (step S12) was not performed, it is determined that there is no calculation auxiliary information corresponding to “the upper half circle having the radius“ 5 ”” (step S15; No), and FIG. As shown in a), a thumbnail of “upper half circle with radius“ 5 ”” is displayed in the formula display area R2 (step S17).

  Next, after it is determined that the designated figure calculation formula input mode is not set (step S18; No), as shown in FIG. 10A, the area calculation of “the upper half circle having a radius“ 5 ”” is performed. The result “39.25” is displayed in association with the thumbnail of “the upper half of the radius“ 5 ”” displayed in the expression display area R2 (step S19).

  Next, when the user inputs “+” without designating the designated figure (step S13; No) (step S24; Yes), “+” is displayed in the expression display area as shown in FIG. Displayed on R2. Then, it is determined that the graphic to be calculated “the upper half circle with radius“ 5 ”” can be specified in the combined graphic 320 (step S25; No), and as shown in FIG. "5" upper half circle "is shaded with a diagonal line P2, and the figure to be calculated is identified and displayed in the combination figure 320 (step S26).

  Next, when the user designates “a square with a side length of“ 10 ”” as the designated figure from the combination figure 320 (step S13; Yes), the above-described user has an upper half circle with a radius of “5”. As in the case where “is designated as the designated figure”, “a square with a side length of“ 10 ”” is surrounded by a red line P1 (step S14), and as shown in FIG. A “10” square ”thumbnail is displayed in the formula display area R2 (step S17), and an area calculation result“ 100 ”is displayed in association with the thumbnail (step S19).

  Next, when the user inputs "-" without designating the designated figure (step S13; No) (step S24; Yes), "-" is displayed in the formula display area as shown in FIG. Displayed on R2. Then, it is determined that the figure to be calculated, ““ upper half circle with radius “5” ”+“ square with one side length “10” ”can be specified in the combined figure 320 (Step S25; No. ), As shown in FIG. 11A, “a square with a side length of“ 10 ”” is shaded with a diagonal line P2, and the figure to be calculated is identified and displayed in the combination figure 320 (step S26). ).

  Next, when the user designates “circle having a radius of“ 2.5 ”” as the designated figure from the combination figure 320 (step S13; Yes), the above-described user selects “an upper half circle having a radius of“ 5 ””. As in the case of designating as a designated figure, a “circle having a radius of“ 2.5 ”” is surrounded by a red line P1 (step S14), and as shown in FIG. A thumbnail of “.5” circle ”is displayed in the formula display area R2 (step S17), and an area calculation result“ 19.63 ”is displayed in association with the thumbnail (step S19).

  Next, when the user inputs “=” without designating the designated figure (step S13; No) (step S43; Yes), “=” is displayed in the formula display area as shown in FIG. 11B. Displayed on R2. Then, as shown in FIG. 11B, the hatched line P2 corresponding to the “circle having a radius of“ 2.5 ”” is deleted, and the figure to be calculated is identified and displayed in the combined figure 320 (step S44), the thumbnail of the graphic identified and displayed using the oblique line P2 in the combination graphic 320 is displayed as the calculation result in the formula display area R2 (step S45), and the numerical value “119.62” of the calculation result is the thumbnail. (Step S46).

  In the present embodiment, as shown in FIG. 10A, FIG. 11A, and FIG. 11B, the outline of the extracted figure that overlaps the designated figure is indicated by a broken line as the thumbnail of the designated figure. However, it is also possible to display a thumbnail without such a broken line.

(Operation example 2)
The problem diagram 300 in the operation example 2 is assumed to be a figure indicated by a bold line in FIG. In the problem diagram 300 shown in FIG. 12A, the area calculation figure is identified by shading with a dot pattern. In the operation example 2, a case where the designated figure calculation formula input mode is set will be described.

  First, when the user instructs to read an example from the example graphic data file group 130 (step S1; Yes) and designates the file name “example 1” (step S6), “example 1” is assigned as the file name. The example graphic data file 130a is acquired from the example graphic data file group 130, and the data stored in the example graphic data file 130a is stored in the graphic display data storage area 120 as shown in FIG. At the same time, as shown in FIG. 15A, based on the data, the task diagram 300 in which the area calculation graphic is identified and displayed is displayed in the graphic display area R1 (step S7).

Here, as shown in FIG. 12B, the problem diagram 300 (see FIG. 12A) displayed on the display 3 includes a point O (0, 0), a point P (0, y ₁ ), Assuming that the point Q (x ₃ , y ₃ ), the point R (x ₄ , 0), the point S (x ₂ , 0), and the point T (x ₁ , y ₂ ), the right triangle ORP, the triangle SRP, and the right triangle QPR And a triangle TPR. The triangle SRP and the triangle TPR are included in the area calculation figure.

  Next, when the user inputs the auxiliary line 310 on the task diagram 300 (step S8), the auxiliary line 310 is drawn and displayed, and a combined graphic 320 combining the task diagram 300 and the auxiliary line 310 is displayed in the graphic display area R1. Is displayed. Here, as shown in FIG. 13A, it is assumed that the user inputs a straight line ST as the auxiliary line 310 with respect to the problem diagram 300 (FIG. 12A).

  Next, extracted figures are extracted from the combination figure 320 in descending order of area (step S9), and data relating to the extracted figures is stored in the extracted figure data storage area 121 as shown in FIG. As shown in FIG. 15B, the extracted figure is displayed in the figure display area R1 in the corresponding color (step S10).

  Here, as shown in FIG. 13B, the right triangle OSP, the right triangle RQT, the triangle TSP, and the triangle SRT can be extracted as extracted figures from the combination figure 320 shown in FIG. Further, identification colors are set for the triangle TSP and the triangle SRT.

  Next, when the user instructs to display the calculation auxiliary information (step S11; Yes), the calculation auxiliary information is created (step S12).

  Specifically, first, “1” is set to the variable N (step S121). Since the area calculation information corresponding to the graphic number “1” is default (see FIG. 13B), it is determined that the extracted graphic of the graphic number “1” is not related to the area calculation (step S122; No).

  Also, the extracted figure with the figure number “2” is determined not to be related to the area calculation as in the case of the extracted figure with the figure number “1”.

  Next, it is determined that there is the next figure number (step S130; Yes), and “3” is set to the variable N (step S131). Since the area calculation information corresponding to the figure number “3” is “includes” (see FIG. 13B), the extracted figure with the figure number “3” is determined to be related to the area calculation (step S122). ; Yes).

  Since the figure name corresponding to the figure number “3” is “triangle” (see FIG. 13B), it is determined that the extracted figure with the figure number “3” is not “square” or “rectangle” (step S123). No), it is determined that it is not a “right triangle” (step S125; No), and it is determined that it is not a “circle” (step S127; No). Then, it is determined that the extracted figure with the figure number “3” is not a computable figure that can be calculated by using a predetermined formula, and there is the next figure number without creating calculation auxiliary information and position information. Is determined (step S130).

  Also, for the extracted figure with the figure number “4”, as in the case of the extracted figure with the figure number “3”, it is determined whether or not there is a next figure number without creating calculation auxiliary information and position information. The

  Next, it is determined that there is no next figure number (step S130; No), and the creation of the calculation auxiliary information ends. As described above, in the combination graphic 320 shown in FIG. 13A, the calculation auxiliary information and the position information corresponding to each extracted graphic are not created. Therefore, as shown in FIG. All the columns of the calculation auxiliary information and position information 122 are left as default.

  Next, when the user designates “triangle SRT” as the designated figure from the combination figure 320 (step S13; Yes), the “triangle SRT” is surrounded by the red line P1, as shown in FIG. The fact that it is in a selected state is displayed in the graphic display area R1 (step S14).

  Next, after determining that there is no calculation auxiliary information corresponding to the “triangle SRT” based on the calculation auxiliary information storage area 122 (see FIG. 13C) (step S15; No), FIG. Thus, the thumbnail of “triangle SRT” is displayed in the formula display area R2 (step S17).

  Next, it is determined that the designated figure calculation formula input mode is set (step S18; Yes), and the designated figure calculation formula input field R3 is displayed on the display 3 as shown in FIG.

  In this case, since the calculation auxiliary information corresponding to the “triangle SRT” is not displayed and the designated figure calculation formula cannot be input, the user determines that the auxiliary line 310 has been put in the wrong way, and the auxiliary information Instruct to delete line 310. In response to this, the auxiliary line 310 is canceled, and as shown in FIG. 15A again, the problem diagram 300 in which the area calculation graphic is identified and displayed is displayed in the graphic display area R1 (step S7).

  Next, when the user inputs the auxiliary line 310 on the task diagram 300 (step S8), the auxiliary line 310 is drawn and displayed, and a combined graphic 320 combining the task diagram 300 and the auxiliary line 310 is displayed in the graphic display area R1. Is displayed. Here, it is assumed that the user inputs a straight line PR as the auxiliary line 310 with respect to the task diagram 300 (FIG. 12A) as shown in FIG.

  Next, extracted figures are extracted from the combination figure 320 in descending order of area (step S9). As shown in FIG. 14B, data relating to the extracted figure is stored in the extracted figure data storage area 121, As shown in FIG. 16B, the extracted figure is displayed in the figure display area R1 in a corresponding color (step S10).

  Here, as shown in FIG. 14B, the right triangle QPR, the right triangle ORP, the right triangle OSP, the right triangle RQT, the triangle TPR, and the triangle SRP are extracted from the combination figure 320 shown in FIG. It can be extracted as a figure. Further, identification colors are set for the triangle TPR and the triangle SRP.

  Next, when the user instructs to display the calculation auxiliary information (step S11; Yes), the calculation auxiliary information is created (step S12).

  Specifically, first, “1” is set to the variable N (step S121). Since the area calculation information corresponding to the graphic number “1” is default (see FIG. 14B), it is determined that the extracted graphic of the graphic number “1” is not related to the area calculation (step S122; No).

  Also, the extracted figures with the graphic numbers “2” to “4” are determined not to be related to the area calculation as in the case of the extracted graphic with the graphic number “1”.

  Next, it is determined that there is the next figure number (step S130; Yes), and “5” is set to the variable N (step S131). Since the area calculation information corresponding to the graphic number “5” is “includes” (see FIG. 14B), the extracted graphic of the graphic number “5” is determined to be related to the area calculation (step S122). ; Yes).

  Since the figure name corresponding to the figure number “5” is “triangle” (see FIG. 14B), it is determined that the extracted figure with the figure number “5” is not “square” or “rectangle” (step S123). No), it is determined that it is not a “right triangle” (step S125; No), and it is determined that it is not a “circle” (step S127; No). Then, the extracted figure with the figure number “5” is determined to be a computable figure capable of area calculation using a predetermined formula, and calculation auxiliary information and position information are created, as shown in FIG. As described above, it is stored in the calculation auxiliary information storage area 122 in association with the graphic number “5” (step S129).

  Also, for the extracted figure with the figure number “6”, as in the case of the extracted figure with the figure number “5”, calculation auxiliary information and position information are created. As shown in FIG. 6 ”and stored in the calculation auxiliary information storage area 122.

  Next, it is determined that there is no next figure number (step S130; No), and the creation of the calculation auxiliary information ends.

  Next, when the user designates “triangle TPR” as the designated figure from the combination figure 320 (step S13; Yes), as shown in FIG. 17A, the “triangle TPR” is surrounded by the red line P1, The fact that it is in a selected state is displayed in the graphic display area R1 (step S14).

  Next, it is determined that there is calculation auxiliary information corresponding to “triangle TPR” based on the calculation auxiliary information storage area 122 (see FIG. 14C) (step S15; Yes), as shown in FIG. Then, the calculation auxiliary information is displayed in the graphic display area R1 (step S16), and a thumbnail of “triangle TPR” is displayed in the formula display area R2 (step S17).

  Next, it is determined that the designated figure calculation formula input mode is set (step S18; Yes), and the designated figure calculation formula input field R3 is displayed on the display 3 as shown in FIG.

  Next, when the user inputs the specified figure calculation formula “5 × 8 ÷ 2” in the specified figure calculation formula input field R3 (step S20), it is determined that the specified figure calculation formula is correct (step S21; 17), as shown in FIG. 17B, the correct message ([correct answer]) is displayed on the display 3 (step S22), and the area calculation result “20” of “triangle TPR” is displayed in the formula display area R2. The displayed “triangle TPR” thumbnail is displayed in association with the thumbnail (step S19).

  Next, when the user inputs “+” without designating the designated figure (step S13; No) (step S24; Yes), “+” is displayed in the expression display area as shown in FIG. Displayed on R2. Then, it is determined that the “triangle TPR” that is the figure to be calculated can be specified in the combination figure 320 (step S25; No), and as shown in FIG. The figure to be calculated is identified and displayed in the combination figure 320 (step S26).

  Next, when the user designates “triangle SRP” as the designated figure from the combination figure 320 (step S13; Yes), the “triangle” is the same as when the user designates “triangle TPR” as the designated figure. “SRP” is surrounded by a red line P1 (step S14), and as shown in FIG. 18A, calculation auxiliary information corresponding to “triangle SRP” is displayed in the graphic display area R1 (step S16). "" Is displayed in the formula display area R2 (step S17), and the designated figure calculation formula input field R3 is displayed on the display 3.

  Next, when the user inputs the specified figure calculation formula “4 × 6 ÷ 2” in the specified figure calculation formula input field R3 (step S20), it is determined that the specified figure calculation formula is correct (step S21; 18), as shown in FIG. 18A, a correct message ([correct answer]) is displayed on the display 3 (step S22), and the area calculation result “12” of “triangle SRP” is displayed in the formula display area R2. The displayed “triangle SRP” is displayed in association with the thumbnail (step S19).

  Next, when the user inputs “=” without designating the designated figure (step S13; No) (step S43; Yes), “=” is displayed in the formula display area as shown in FIG. Displayed on R2. Then, as shown in FIG. 18B, “triangle SRP” is shaded by a hatched line P2, and the figure to be calculated is identified and displayed in the combined figure 320 (step S44), and the hatched line P2 in the combined figure 320 is displayed. The figure thumbnail identified and displayed using is displayed in the formula display area R2 as a calculation result (step S45), and the numerical value “32” of this calculation result is displayed in association with the thumbnail (step S46).

(Operation example 3)
The problem diagram 300 in the operation example 3 is assumed to be a figure indicated by a thick line in FIG. In the problem diagram 300 shown in FIG. 19A, the area calculation figure is identified by shading with a dot pattern. In the operation example 3, a case where the designated figure calculation formula input mode is not set will be described.

  First, when the user instructs to read an example from the example graphic data file group 130 (step S1; Yes) and designates the file name “example 2” (step S6), “example 2” is given as the file name. The example graphic data file 130a is acquired from the example graphic data file group 130, and the data stored in the example graphic data file 130a is stored in the graphic display data storage area 120 as shown in FIG. At the same time, as shown in FIG. 22 (a), based on the data, the problem diagram 300 in which the area calculation graphic is identified and displayed is displayed in the graphic display area R1 (step S7).

  Here, as shown in FIG. 19B, the problem diagram 300 (see FIG. 19A) displayed on the display 3 is a point O (0, 0), a point A (−7.07, 7). .07), point B (−7.07, −7.07), point C (7.07, −7.07), and point D (7.07, 7.07), a circle O and a right triangle It is composed of ODA, right triangle OCB, sector OAB and sector OCD. The right triangle ODA, the right triangle OCB, the sector OAB, and the sector OCD are included in the area calculation figure.

  Next, when the user inputs the auxiliary line 310 on the task diagram 300 (step S8), the auxiliary line 310 is drawn and displayed, and a combined graphic 320 combining the task diagram 300 and the auxiliary line 310 is displayed in the graphic display area R1. Is displayed. Here, it is assumed that the user inputs a straight line AC and a straight line DB as the auxiliary line 310 with respect to the task diagram 300 (FIG. 19A) as shown in FIG.

  Next, extracted figures are extracted from the combined figure 320 in descending order of area (step S9). As shown in FIG. 20B, data relating to the extracted figure is stored in the extracted figure data storage area 121, As shown in FIG. 22B, the extracted figure is displayed in the figure display area R1 in a corresponding color (step S10).

  Here, as shown in FIG. 20B, a circle O, a sector OAB, a sector OCD, a right triangle ODA, and a right triangle OCB can be extracted as extracted figures from the combination figure 320 shown in FIG. is there. Further, identification colors are set for the sector OAB, the sector OCD, the right triangle ODA, and the right triangle OCB. In this case, the sector OAB and the sector OCD are congruent figures, and since these figures are not in contact with each other at the sides, the same identification color (blue) is set. Also, the right triangle ODA and the right triangle OCB are congruent figures, and these figures are not in contact with each other, so the same identification color (magenta) is set.

  Next, when the user instructs to display the calculation auxiliary information (step S11; Yes), the calculation auxiliary information is created (step S12).

  Specifically, first, “1” is set to the variable N (step S121). Since the area calculation information corresponding to the figure number “1” is default (see FIG. 20B), it is determined that the extracted figure having the figure number “1” is not related to the area calculation (step S122; No).

  Next, it is determined that there is the next figure number (step S130; Yes), and “2” is set to the variable N (step S131). Since the area calculation information corresponding to the figure number “2” is “includes” (see FIG. 20B), the extracted figure with the figure number “2” is determined to be related to the area calculation (step S122). ; Yes).

  Since the figure name corresponding to the figure number “2” is “fan shape” (see FIG. 20B), it is determined that the extracted figure with the figure number “2” is not “square” or “rectangle” (step S123). No), it is determined that it is not a “right triangle” (step S125; No), and it is determined that it is not a “circle” (step S127; No). Then, the extracted figure with the figure number “2” is determined to be a computable figure capable of area calculation using a predetermined formula, and calculation auxiliary information and position information are created, as shown in FIG. As described above, it is stored in the calculation auxiliary information storage area 122 in association with the graphic number “2” (step S129).

  Also, for the extracted figure with the figure number “3”, calculation auxiliary information and position information are created as in the case of the extracted figure with the figure number “2”, and as shown in FIG. 3 ”and stored in the calculation auxiliary information storage area 122.

  Next, it is determined that there is the next figure number (step S130; Yes), and the variable N is set to “4” (step S131). Since the area calculation information corresponding to the graphic number “4” is “includes” (see FIG. 20B), the extracted graphic of the graphic number “4” is determined to be related to the area calculation (step S122). ; Yes).

  Since the figure name corresponding to the figure number “4” is “right triangle” (see FIG. 20B), it is determined that the extracted figure of the figure number “4” is not “square” or “rectangle” (step S123; No), it is determined that it is a “right triangle” (step S125; Yes), calculation auxiliary information and position information are created, and correspond to the figure number “4” as shown in FIG. 20C. In addition, it is stored in the calculation auxiliary information storage area 122 (step S126).

  Also, for the extracted figure with the figure number “5”, calculation auxiliary information and position information are created as in the case of the extracted figure with the figure number “4”, and as shown in FIG. 5 ”and stored in the calculation auxiliary information storage area 122.

  Next, it is determined that there is no next figure number (step S130; No), and the creation of the calculation auxiliary information ends.

  Next, when the user designates “right triangle ODA” as the designated figure from the combination figure 320 (step S13; Yes), as shown in FIG. 23A, the “right triangle ODA” is surrounded by a red line P1. Then, the fact that it is in the selected state is displayed in the graphic display area R1 (step S14).

  Next, it is determined that there is calculation auxiliary information corresponding to the “right triangle ODA” based on the calculation auxiliary information storage area 122 (see FIG. 20C) (step S15; Yes), and is shown in FIG. Thus, the calculation auxiliary information is displayed in the graphic display area R1 (step S16), and the thumbnail of the “right triangle ODA” is displayed in the formula display area R2 (step S17).

  Next, after determining that the designated figure calculation formula input mode is not set (step S18; No), as shown in FIG. 23A, the area calculation result “50” of the “right triangle ODA” is expressed by the formula. It is displayed in association with the thumbnail of “right triangle ODA” displayed in the display area R2 (step S19).

  Next, when the user inputs “× 2” without designating the designated figure (Step S13; No) (Step S29; Yes), “× 2” is expressed as shown in FIG. It is displayed in the display area R2. Then, a figure congruent with the “right-angled triangle ODA” that is the figure to be multiplied is detected from within the combination figure 320 (step S30).

  From the combination graphic 320, since the “right triangle OCB” can be detected as a figure congruent with the multiplication target figure “right triangle ODA”, it is determined that a figure congruent with the multiplication target figure can be detected (step S31; No). ), It is determined that the number of detected congruent figures is equal to or greater than the number of congruent congruent figures “1” (= multiplier−1) (step S32; Yes). Then, as shown in FIG. 23B, the “right-angled triangle ODA” that is the figure to be multiplied, and the number of multiplication-congruent figures out of the detected congruent figures (that is, one of the “right-angled triangle OCB”) Is shaded with a hatched line P2 for identification (step S33).

  Next, when the user inputs “+” without designating the designated figure (step S13; No) (step S24; Yes), “+” is displayed in the expression display area as shown in FIG. Displayed on R2. Then, it is determined that ““ right-angled triangle ODA ”× 2” (= ““ right-angled triangle ODA ”+“ right-angled triangle OCB ””) that is the figure to be calculated can be specified in the combined figure 320 (step S25; No). The figure to be calculated is identified and displayed in the combination figure 320 (step S26). In this case, the identification display does not change before and after “+” is input.

  Next, when the user designates “fan OCD” as the designated figure from the combination figure 320 (step S13; Yes), as in the case where the user designates “right triangle ODA” as the designated figure, “ The sector OCD "is surrounded by a red line P1 (step S14), and the calculation auxiliary information corresponding to the" fan OCD "is displayed in the graphic display area R1 (step S16). As shown in FIG. A thumbnail is displayed in the formula display area R2 (step S17), and an area calculation result “78.55” is displayed in association with the thumbnail (step S19).

  Next, when the user inputs “× 2” without specifying the designated figure (step S13; No) (step S29; Yes), the same as the case where the user inputs “× 2” as described above. Then, as shown in FIG. 24, “× 2” is displayed in the expression display area R2, and the “fan OCD” that is the figure to be multiplied and the number of multiplication congruent figures among the detected congruent figures (ie, “ One of the fan-shaped OAB ") is shaded with a hatched line P2 and is displayed for identification (step S33).

  Next, when the user inputs “=” without designating the designated figure (step S13; No) (step S43; Yes), “=” is displayed in the formula display area R2, as shown in FIG. Then, the figure to be calculated is identified and displayed in the combination figure 320 (step S44). In this case, the identification display does not change before and after “=” is input.

  Next, as shown in FIG. 24, the thumbnail of the graphic identified and displayed using the oblique line P2 in the combination graphic 320 is displayed as the calculation result in the formula display area R2 (step S45), and the numerical value “ “257.1” is displayed in association with the thumbnail (step S46).

  Next, when the user designates “return” without designating the designated figure (step S13; No), all the combination figures 320 displayed in the figure display area R1 and the expression display are displayed. All the area calculation formulas displayed in the area R2 are canceled, and all the data in the graphic display data storage area 120, the extracted graphic data storage area 121, and the calculation auxiliary information storage area 122 are cleared.

  Thereafter, when the user instructs to read the example from the example graphic data file group 130 (step S1; Yes) and designates the file name “example 2” (step S6), “example 2” is given as the file name. The example graphic data file 130a is acquired from the example graphic data file group 130, and the data stored in the example graphic data file 130a is stored in the graphic display data storage area 120 as shown in FIG. At the same time, as shown in FIG. 25 (a), based on the data, the problem diagram 300 in which the area calculation graphic is identified and displayed is displayed in the graphic display area R1 (step S7).

  Next, when the user inputs the auxiliary line 310 on the task diagram 300 (step S8), the auxiliary line 310 is drawn and displayed, and a combined graphic 320 combining the task diagram 300 and the auxiliary line 310 is displayed in the graphic display area R1. Is displayed. Here, it is assumed that the user inputs a straight line AB and a straight line DC as the auxiliary line 310 with respect to the task diagram 300 (FIG. 19A) as shown in FIG.

  Next, extracted figures are extracted from the combination figure 320 in descending order of area (step S9). As shown in FIG. 21B, data relating to the extracted figure is stored in the extracted figure data storage area 121, As shown in FIG. 25 (b), the extracted figure is displayed in the figure display area R1 in the corresponding color (step S10).

  Here, as shown in FIG. 21B, from the combination figure 320 shown in FIG. 21A, a circle O, a square ABCD, and an arc DA obtained by excluding the right triangle ODA from the sector ODA, The arc BC obtained by excluding the right triangle OBC from the sector OBC, the arc BA obtained by excluding the right triangle OBA from the sector OBA, and the arc CD obtained by excluding the right triangle OCD from the sector OCD Can be extracted as an extracted figure. Also, an identification color is set for each extracted figure. In this case, the arc DA, the arc BC, the arc BA and the arc CD are congruent figures, and these figures are not in contact with each other, so the same identification color (yellow) is set.

  Next, when the user instructs to display the calculation auxiliary information (step S11; Yes), the calculation auxiliary information is created (step S12).

  Specifically, first, “1” is set to the variable N (step S121). Since the area calculation information corresponding to the graphic number “1” is “include / exclude” (see FIG. 21B), the extracted graphic of the graphic number “1” is determined to be related to the area calculation ( Step S122; Yes).

  Since the figure name corresponding to the figure number “1” is “circle” (see FIG. 21B), it is determined that the extracted figure with the figure number “1” is not “square” or “rectangle” (step S123). No), it is determined that it is not a “right triangle” (step S125; No), it is determined that it is a “circle” (step S127; Yes), calculation auxiliary information and position information are created, and FIG. ), It is stored in the calculation auxiliary information storage area 122 in association with the graphic number “1” (step S128).

  Next, it is determined that there is the next figure number (step S130; Yes), and “2” is set to the variable N (step S131). Since the area calculation information corresponding to the figure number “2” is “includes” (see FIG. 21B), the extracted figure with the figure number “2” is determined to be related to the area calculation (step S122). ; Yes).

  Since the figure name corresponding to the figure number “2” is “square” (see FIG. 20B), the extracted figure with the figure number “2” is determined to be “square” or “rectangular” ( Step S123; Yes), calculation auxiliary information and position information are created and stored in the calculation auxiliary information storage area 122 in association with the figure number “2” as shown in FIG. 21C (step S124). .

  Next, it is determined that there is the next figure number (step S130; Yes), and “3” is set to the variable N (step S131). Since the area calculation information corresponding to the graphic number “3” is “excluded” (see FIG. 21B), the extracted graphic of the graphic number “3” is determined to be related to the area calculation (step S122). ; Yes).

  Since the figure name corresponding to the figure number “3” is “bow” (see FIG. 21B), it is determined that the extracted figure with the figure number “3” is not “square” or “rectangle” (step S123). No), it is determined that it is not a “right triangle” (step S125; No), and it is determined that it is not a “circle” (step S127; No). Then, it is determined that the extracted figure with the figure number “3” is not a computable figure that can be calculated by using a predetermined formula, and there is a next figure number without creating calculation auxiliary information and position information. It is determined whether or not (step S130).

  Also, with respect to the extracted figures with the figure numbers “4” to “6”, as in the case of the extracted figure with the figure number “3”, the calculation auxiliary information and the position information are not created, and there is a next figure number. Is determined.

  Next, it is determined that there is no next figure number (step S130; No), and the creation of the calculation auxiliary information ends.

  Next, when the user designates “bow DA” as the designated figure from the combination figure 320 (step S13; Yes), as shown in FIG. 26A, the “bow DA” is surrounded by the red line P1, The fact that it is in a selected state is displayed in the graphic display area R1 (step S14).

  Next, after it is determined that there is no calculation auxiliary information corresponding to “bow DA” based on the calculation auxiliary information storage area 122 (see FIG. 21C) (step S15; No), a thumbnail of “bow DA” is displayed. It is displayed in the formula display area R2 (step S17).

  Next, after it is determined that the designated figure calculation formula input mode is not set (step S18; No), it is determined whether or not the designated figure is designated without displaying the area calculation result (step S19). (Step S13). Here, when the calculation auxiliary information creation processing (step S12) is performed, if there is corresponding calculation auxiliary information, the area calculation result is displayed (step S19). On the other hand, “bow DA” has no corresponding calculation auxiliary information (default) even though the calculation auxiliary information creation processing (step S12) is performed (see FIG. 21C). It is determined whether or not the designated figure has been designated without displaying the area calculation result (step S13). As a result, the user determines that the extracted figure to be designated as the designated figure has been mistaken, and gives an instruction to cancel the designation of “bow DA”. In response to this, the red line P1 surrounding the “bow DA” is canceled, and the thumbnail of the “bow DA” is canceled from the area calculation formula.

  When the user designates “circle O” as the designated figure from the combination figure 320 (step S13; Yes), the “circle O” is surrounded by the red line P1 and the fact that it is in the selected state is displayed in the figure display area R1. It is displayed (step S14).

  Next, it is determined that there is calculation auxiliary information corresponding to “circle O” based on the calculation auxiliary information storage area 122 (see FIG. 21C) (step S15; Yes), as shown in FIG. The calculation assistance information is displayed in the graphic display area R1 (step S16), and the thumbnail of “circle O” is displayed in the formula display area R2 (step S17).

  Next, after it is determined that the designated figure calculation formula input mode is not set (step S18; No), as shown in FIG. 26B, the area calculation result “314.2” of “circle O” is obtained. It is displayed in association with the thumbnail of “circle O” displayed in the expression display area R2 (step S19).

  Next, when the user inputs “−” without designating the designated figure (step S13; No) (step S24; Yes), “−” is displayed in the expression display area as shown in FIG. Displayed on R2. Then, it is determined that the “circle O”, which is the figure to be calculated, can be specified in the combination figure 320 (step S25; No), and as shown in FIG. Then, the graphic to be calculated is identified and displayed in the combination graphic 320 (step S26).

  Next, when the user designates “square ABCD” as the designated figure from the combination figure 320 (step S13; Yes), the “square” is the same as when the user designates “circle O” as the designated figure. “ABCD” is surrounded by a red line P1 (step S14), and as shown in FIG. 27A, calculation auxiliary information corresponding to “square ABCD” is displayed in the graphic display area R1 (step S16). Is displayed in the formula display area R2 (step S17), and the area calculation result “200” is displayed in association with the thumbnail (step S19).

  Next, the user moves the position of the cursor CR1 to the head of the area calculation formula without specifying the designated figure (step S13; No), and inputs “(”, and then calculates the area of the cursor CR1. Move to the end of the formula and enter ")" (or move the position of the cursor CR1 to the end of the area calculation formula and enter ")", then move the position of the cursor CR1 to the beginning of the area calculation formula When “(” is input) (step S24; Yes), “()” is displayed in the formula display area R2, as shown in FIG. Then, it is determined that the figure to be calculated ““ circle O ”−“ square ABCD ”” can be specified in the combination figure 320 (step S25; No), and as shown in FIG. 27A, “square ABCD”. The hatched line P2 corresponding to "" is deleted, and the figure to be calculated is identified and displayed in the combined figure 320 (step S26).

  Next, when the user inputs “÷ 2” without designating the designated figure (step S13; No) (step S36; Yes), “÷ 2” is expressed as shown in FIG. It is displayed in the display area R2. The figure to be divided is a “composite figure in which the bow DA, the bow BC, the bow BA, and the bow CD are combined”, and includes a plurality of extractable figures. Is detected (step S37).

  From the figure to be divided, it is determined that the extracted figure that is congruent from each other can be detected from the figure to be divided because “bow DA”, “bow BC”, “bow BA”, and “bow CD” can be detected. In step S38; No), it is determined that the number of divided congruent figures “2” (= detected number / divisor) is a natural number (step S39; Yes). Then, as shown in FIG. 27 (b), the number of divided congruent figures out of the detected congruent extracted figures (that is, two of "bow DA" and "bow BC") are shaded with diagonal lines P2. Then, the identification is displayed (step S40).

  Next, when the user moves the position of the cursor CR1 to the top of the area calculation formula and designates “circle O” as the designated figure from the combination figure 320 (step S13; Yes), the above-described user selects “circle O”. In the same manner as when "" is designated as the designated figure, "circle O" is surrounded by a red line P1 (step S14), and calculation auxiliary information corresponding to "circle O" is displayed in the figure display area R1 (step S16). 28, a thumbnail of “circle O” is displayed in the formula display area R2 (step S17), and an area calculation result “314.2” is displayed in association with the thumbnail (step S19). . In this case, since the position of the cursor CR1 is at the head of the area calculation formula, the thumbnail of “circle O” and the area calculation result are displayed at the head of the area calculation formula.

  Next, when the user inputs “−” without designating the designated figure (step S13; No) (step S24; Yes), “−” is displayed in the formula display area R2, as shown in FIG. Is done. Then, it is determined that the figure to be calculated ““ circle O ”− (“ circle O ”−“ square ABCD ””) / 2 ”can be specified in the combined figure 320 (step S25; No),” shown in FIG. As described above, the portion excluding “bow DA” and “bow BC” from “circle O” is shaded by the oblique line P2, and the figure to be calculated is identified and displayed in the combined figure 320 (step S26).

  Next, when the user moves the position of the cursor CR1 to the end of the area calculation formula and inputs “=” without designating the designated figure (step S13; No) (step S43; Yes), FIG. As shown in FIG. 5, “=” is displayed in the expression display area R2, and the figure to be calculated is identified and displayed in the combination figure 320 (step S44). In this case, the identification display does not change before and after “=” is input.

  Next, as shown in FIG. 28, the thumbnail of the graphic identified and displayed using the oblique line P2 in the combination graphic 320 is displayed as the calculation result in the formula display area R2 (step S45), and the numerical value “ “257.1” is displayed in association with the thumbnail (step S46).

  As described above, according to the present embodiment, as illustrated in steps S3, S7, S8, S13, S17, S24, S29, and S36 of FIGS. The auxiliary line 310 for area calculation is drawn and displayed on the display 3 in response to a user operation, and any one of a plurality of figures that can be extracted from the combination figure 320 that combines the task diagram 300 and the auxiliary line 310 is Designated as a designated figure in accordance with a user operation, one of the four arithmetic symbols is designated as a designated computation symbol in accordance with a user operation, and the designated figure and the designated computation symbol are displayed side by side as an area calculation formula on the display 3 It is like that. In other words, since the user can input the auxiliary line 310 and the user can specify a designated figure or a designated operation symbol, the user can think about how to insert the auxiliary line 310 or the process of calculation. The learning effect can be enhanced.

  In addition, as shown in steps S24, S26, S29, S33, S36, S40, and S44 in FIGS. 4 to 5, a designated figure and a designated operation symbol are displayed on the display 3 as an area calculation formula, and area calculation is performed. The figure to be calculated by the formula is identified and displayed in the combination figure 320. Therefore, the calculation process can be grasped from both the area calculation formula and the combination graphic 320. In addition, the correspondence between the designated figure in the area calculation formula and the designated figure in the combination figure 320 can be recognized accurately.

  Furthermore, as shown in steps S29 to S33 in FIG. 4, when a natural number is input as a multiplier in response to a user operation, a multiplication symbol (“×”) is input as a designated operation symbol, and a multiplier is input. The figure in the combination figure 320 to be multiplied is specified as the figure to be multiplied, the figure that is congruent with the figure to be multiplied is detected in the combination figure 320, and the value obtained by subtracting 1 from the multiplier is the multiplication figure. When the number of detected graphic figures is equal to or greater than the number of detected multiplicative congruent figures, the multiplication target graphic and the number of the multiplicative conjoint graphic figures of the detected graphic are identified and displayed. It is like that. Further, as shown in steps S36 to S40 in FIG. 5, when a natural number is input as a divisor according to a user operation, a division symbol (“÷”) is input as a designated operation symbol, and a divisor is input. When a figure in the combination figure 320 to be divided is specified as a figure to be divided and a plurality of figures that can be extracted are included in the figure to be divided, a figure that is mutually congruent is detected from the figure to be divided If the value obtained by dividing the number of detected figures by the divisor is specified as the divisor congruent figure number, and the divisor congruent figure number is a natural number, the number corresponding to the divisor congruent figure number of the detected figures. Is identified. Therefore, even when multiplication / division is used, the calculation process can be grasped from both the area calculation formula and the combination graphic 320. Even when multiplication / division is used, the correspondence between the designated figure in the area calculation formula and the designated figure in the combination figure 320 can be recognized accurately.

  Further, as shown in step S19 of FIG. 3, the area of the designated figure is calculated, and the calculation result is displayed on the display 3. Therefore, since the area of the designated figure can be presented to the user, the learning effect can be enhanced.

  Furthermore, as shown in step S16 of FIG. 3, when a designated figure is designated, calculation assistance information that is an aid in calculating the area of the designated figure is displayed. Therefore, since the user can think about how to calculate the area of the designated figure, the learning effect can be enhanced.

  Further, as shown in steps S19 to S23 of FIG. 3, a specified figure calculation formula for calculating the area of the specified figure is input in response to a user operation, and whether the specified figure calculation formula is correct or incorrect is determined. When the result is displayed and it is determined that the specified figure calculation formula is correct, the result of calculating the area of the specified figure is displayed. Therefore, since the user can calculate the area of the designated figure, the learning effect can be enhanced.

  In addition, it is needless to say that the detailed configuration and detailed operation of each component of the scientific calculator 1 in the above embodiment can be appropriately changed without departing from the gist of the present invention.

  For example, the graphic display device according to the present invention has been described as the scientific calculator 1, but those to which the present invention is applicable are not limited to such products, but are mobile phones, personal computers, PDAs (Personal Digital Assistants), game machines It can be applied to all electronic devices. Further, the mathematical formula calculation program 131 according to the present invention may be stored in a memory card, CD, or the like that can be attached to and detached from the graphic display device.

  In addition, the user has been described as operating the input key group 2 to input mathematical components such as numerical values and arithmetic symbols, and instructing various processes, but by operating the touch panel 30, An input or an instruction may be given.

  In addition, the user has explained that the formula for calculating the area of the area calculation figure is input as the area calculation formula, but the input area calculation formula is not necessarily an expression for calculating the area of the area calculation figure. May be. That is, as a calculation result of the area calculation formula, the graphic displayed after “=” in the area calculation formula may be a graphic different from the area calculation graphic among the graphic extracted from the combination graphic 320.

  Further, the calculation result of the designated figure has been described as being displayed in association with the thumbnail of the designated figure in the area calculation formula, but the display position of the calculation result is arbitrary.

1 Scientific calculator 2 Input key group 3 Display 11 CPU
12 RAM
13 Storage Unit 14 Key Input Unit 15 Display Unit 131 Formula Calculation Program 300 Assignment Diagram 310 Auxiliary Line 320 Combination Graphic

Claims (7)

And FIG display control means for Ru display the Figure,
An auxiliary line drawing control means for drawing displaying the auxiliary line in response to a user operation,
Either before Symbol view and the auxiliary lines and a plurality of figures that can be extracted from the combined combination graph and a graphic designating means for designating as a designated shape in accordance with a user operation,
An operation symbol specifying means for specifying any of the four arithmetic operation symbols as a specified operation symbol in accordance with a user operation;
Formula display control means for displaying the specified figure and the specified calculation symbol side by side as an area calculation formula,
Formula corresponding area identification display control means for identifying and displaying a figure to be calculated by the area calculation formula in the combination figure,
A graphic display device comprising: The graphic display device according to claim 1,
Multiplier input means for inputting a natural number as a multiplier in response to a user operation,
When a multiplication symbol is input as the designated operation symbol and the multiplier is input, a figure in the combination figure to be multiplied is specified as a figure to be multiplied, and a figure congruent with the multiplication target figure is specified. A multiplication joint figure detection means for detecting from within the combination figure,
The mathematical expression corresponding region identification display control means specifies a value obtained by subtracting 1 from the multiplier as the number of multiplication congruent figures, and the number of figures detected by the multiplication congruent figure detection means is equal to or greater than the number of multiplication congruent figures. In addition, the figure display device is characterized in that the figure to be multiplied and the number of multiplication congruent figures out of the figures detected by the multiplication congruent figure detecting means are identified and displayed. The graphic display device according to claim 1 or 2,
A divisor input means for inputting a natural number as a divisor according to a user operation;
When a division symbol is input as the designated operation symbol and the divisor is input, a graphic in the combination graphic that is a target of the division is identified as a graphic to be divided, and a plurality of pieces that can be extracted into the graphic to be divided When the figure is included, a division congruent figure detecting means for detecting a figure congruent from the figure to be divided is provided,
The mathematical expression corresponding region identification display control means specifies a value obtained by dividing the number of figures detected by the division congruent figure detection means by the divisor as the number of division congruent figures, and the number of divided congruent figures is a natural number. A graphic display device for identifying and displaying the number of divisor congruent figures out of the figures detected by the division congruent figure detecting means. In the graphic display device according to any one of claims 1 to 3,
A designated figure area calculating means for calculating an area of the designated figure;
A figure display device comprising: a designated figure area display control means for displaying a calculation result by the designated figure area calculation means. In the graphic display device according to any one of claims 1 to 4,
A graphic display device comprising: calculation auxiliary information display control means for displaying calculation auxiliary information for assisting in calculating the area of the specified graphic when the specified graphic is specified. In the figure display device according to any one of claims 1 to 5,
Calculation formula input means for inputting a specified figure calculation formula for calculating the area of the specified figure according to a user operation;
Determining means for determining whether the specified figure calculation formula is correct or incorrect;
A determination result display control means for displaying a determination result by the determination means;
Correct figure area display control means for displaying the result of calculating the area of the designated figure when the designated figure calculation formula for calculating the area of the designated figure is judged to be correct by the judging means;
A graphic display device comprising: On the computer,
And FIG display control function Ru display the Figure,
An auxiliary line drawing control function to draw display the auxiliary line in response to a user operation,
Either before Symbol view and said plurality of graphic extractable from combination graph that combines an auxiliary line, and the figure designation function of designating as a designated shape in accordance with a user operation,
An operation symbol designation function for designating one of the four arithmetic symbols as a designated operation symbol in accordance with a user operation;
As an area calculation formula, a mathematical expression display control function for displaying the designated graphic and the designated calculation symbol side by side;
Formula corresponding area identification display control function for identifying and displaying a figure to be calculated by the area calculation formula in the combination figure,
A program characterized by realizing.

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