JP5510253B2 - Graphic display device and program - Google Patents

Description

  The present invention relates to a graphic display device for effectively learning geometric figures and a control program therefor.

  Some conventional electronic calculators (for example, scientific calculators) are equipped with an application for drawing geometric figures. In addition, a geometric learning assisting device that considers geometric properties and effectively performs geometric learning by displaying various auxiliary lines on a drawn figure is also considered (see, for example, Patent Document 1).

JP 2009-009059 A

  For example, for two similar figures, it may be learned that the ratio of the lengths of corresponding sides between the figures is the same, but this is suitable for learning using such a ratio. The device was not considered.

  The present invention has been made in view of such a problem, and provides a graphic display device and a control program for the same that can specify a line segment on a graphic and learn a ratio by an intuitive operation. For the purpose.

  According to a first aspect of the present invention, there is provided a graphic display device according to a user operation among a graphic display means for displaying a graphic and a plurality of vertices and intersections on each line segment constituting the graphic displayed by the graphic display means. Graphic point designation means for designating an arbitrary series of three points as a start point, an intermediate point, and an end point, and indicator display means for identifying and displaying a line segment connecting the start point, the intermediate point, and the end point designated by the graphic point designation means as an indicator The indicator displayed by the indicator display means is expanded or contracted according to the user operation while maintaining the ratio between the length between the start point and the intermediate point and the length between the intermediate point and the end point, and other lines. It is characterized by comprising indicator moving means for moving and displaying according to the minutes.

  The graphic display device according to claim 2 is the graphic display device according to claim 1, wherein the indicator display means linearly connects a line segment connecting a start point, an intermediate point, and an end point designated by the graphic point designation means. It is characterized by being identified and displayed as a mold indicator.

  The graphic display device according to claim 3 is the graphic display device according to claim 1, wherein the indicator display means includes a line segment connecting a start point, an intermediate point, and an end point specified by the graphic point specifying means, It is characterized in that it is identified and displayed as a broken line type indicator with the intermediate point as a vertex.

  According to a fourth aspect of the present invention, there is provided a program for displaying a graphic on a display unit by a computer, a user operation among a plurality of vertices and intersections on each line segment constituting the graphic displayed by the graphic display means. An indicator that identifies and displays as an indicator a line connecting the start point, the intermediate point, and the end point specified by the figure point specifying unit as an arbitrary series of three points as the start point, intermediate point, and end point. The display means and the indicator displayed by the indicator display means are expanded and contracted according to the user operation while maintaining the ratio between the length between the start point and the intermediate point and the length between the intermediate point and the end point. It is characterized by functioning as an indicator moving means for moving and displaying in accordance with a line segment.

  According to the present invention, it is possible to provide a graphic display device and its control program that can specify a line segment on a graphic and learn about the ratio by an intuitive operation.

The front view which shows the external appearance structure of the electronic calculator 10 which concerns on embodiment of the figure display apparatus of this invention. 2 is a block diagram showing a circuit configuration of the electronic calculator 10. FIG. 5 is a flowchart showing graphic display processing of the electronic calculator 10; 5 is a flowchart showing a linear line segment ratio indicator process accompanying the graphic display process of the electronic calculator 10; 7 is a flowchart showing a broken line type line segment ratio indicator process accompanying the graphic display process of the electronic calculator 10; The figure which shows the specific example (the 1) of the display operation accompanying the linear type line segment ratio indicator process of the said electronic calculator. The figure which shows the specific example (the 1) of the display operation accompanying the broken line type line segment ratio indicator process of the said electronic calculator. The figure which shows the specific example (the 2) of the display operation accompanying the broken line type line segment ratio indicator process of the said electronic calculator. The figure which shows the specific example (the 2) of the display operation accompanying the linear type line segment ratio indicator process of the said electronic calculator.

  Embodiments of the present invention will be described below with reference to the drawings.

  FIG. 1 is a front view showing an external configuration of an electronic calculator 10 according to an embodiment of a graphic display device of the present invention.

  This electronic calculator 10 is called a “graph calculator”, and in addition to various calculation functions, a function for drawing and displaying a graph corresponding to an input function expression and statistical data, a figure prepared in advance and a user It has a function for drawing and displaying the input figure.

  The main body of the electronic calculator 10 is provided with a key input unit 12 in a range of about two thirds from the lower end of the front of the main body, and a touch panel type display unit 13 in a range of about one third from the upper end.

  The touch panel type display unit 13 is configured by overlapping a transparent touch panel 13t on a screen of a dot matrix type color liquid crystal display screen 13d.

  The key input unit 12 includes a numeric / symbol key 12a, a function / operator key 12b, a “Menu” key 12c, a “Shift” key 12d, a “Color” key 12e, a “Line segment ratio” key 12f, and a “Graph” key. 12g, “EXIT” key 12h, cursor key 12i, function keys “F1” to “F6”, and the like.

  The numerical value / symbol key 12a includes a key group for inputting numerical values / symbols in which individual keys such as numerals and symbols are arranged.

  The function / operator key 12b includes arithmetic functions, various function symbol keys operated when inputting a function expression, and operator keys such as “+”, “−”, “×”, “÷”, and “=”. .

  The “Menu” key 12c is a calculation mode in which an arbitrary calculation formula such as an arithmetic calculation formula or a function calculation formula is input to perform calculation processing, a graph mode in which graph drawing processing corresponding to the input function formula is performed, Displays a selection setting menu for various operation modes, such as a statistical calculation mode for performing statistical calculations, a graphic display mode for performing geometric graphic learning processing, and a program mode for inputting an arbitrary program to perform corresponding calculation processing. When operated.

  The “Shift” key 12d is operated together with the corresponding key when the various symbols and functions described at the upper left of each key top in the key input unit 12 are designated and input.

  The “Color” key 12e is operated when an arbitrary color is designated for input data, a graph, a figure, or the like.

  The “line segment ratio” key 12f is a line segment ratio indicator (X-P-) for learning the ratio of line segments on the graphic displayed on the touch panel display 13 in the graphic display mode. Y) It is operated when setting a mode for displaying (see FIGS. 6 to 9).

  The “Graph” key 12g is operated when drawing an arbitrary graph based on input data.

  The “EXIT” key 12h is a key for exiting the current state.

  The cursor keys (“↑”, “↓”, “←”, “→”) 12i are operated when selecting and sending the displayed data, and when moving the cursor.

  The function keys “F1” to “F6” are operated when selecting various selection menus arranged and displayed along the lower end of the screen of the touch panel display 13 in accordance with various operation modes.

  FIG. 2 is a block diagram showing a circuit configuration of the electronic calculator 10.

  The electronic calculator 10 includes a CPU 11 that is a microcomputer.

  The CPU 11 operates each part of the circuit by starting a program, and executes various functions provided in the electronic calculator 10 such as a calculator function, a function graph display function, and a graphic display function. In addition to the key input unit 12 and the touch panel display unit 13 shown in FIG. 1, the CPU 11 is connected to a storage device 14, a RAM 15, a recording medium reading unit 16, a communication control unit 18, and the like.

  The storage device 14 includes a memory device such as a ROM, and stores various data and programs in addition to the graphic display control program 14a for realizing the present invention.

  The RAM 15 stores various data necessary for the processing operation of the CPU 11. The RAM 15 includes a display data storage area 15a in which data to be displayed in color on the screen 13d of the touch panel display 13 is expanded, a formula data storage area 15b, a problem graphic data storage area 15c, and the line segment ratio indicator. An end point coordinate data storage area 15d, an intermediate point coordinate data storage area 15e, a line segment ratio data storage area 15f, and the like are provided.

  In the formula data storage area 15b, data related to a function formula input by operating the key input unit 12 is stored.

  In the problem graphic data storage area 15c, various polygonal problem graphics and graphic parts for learning the ratio of line segments constituting the graphic are inputted or stored in advance or from the outside.

  In the end point coordinate data storage area 15d, a line segment ratio indicator (X) corresponding to a user operation is displayed for the problem graphic selectively read from the problem graphic data storage area 15c and displayed on the touch panel display unit 13. -P-Y) is set and displayed (see FIGS. 6 to 9), the coordinates of one end point X and the other end point Y of the line segment ratio indicator (X-P-Y) are stored. .

  The line segment ratio indicator (X-P-Y) is set and displayed when the user designates three points of the start point X, the intermediate point P, and the end point Y on an arbitrary line segment of the displayed graphic. At the initial stage of setting, the ratio [m: n] of the length from the intermediate point P to the one end X side and the other end Y side is set as a fixed one. This line segment ratio indicator (X-P-Y) includes a straight line segment ratio indicator (see FIG. 6) in which a line from one end X to the other end Y across the intermediate point P is aligned with the intermediate point P. And a line segment ratio indicator (see FIG. 7) in which the line on the one end X side and the line on the other end Y side are broken lines.

  The intermediate point coordinate data storage area 15e stores the coordinates of the intermediate point P of the line segment ratio indicator (X-P-Y).

  The line segment ratio data storage area 15f stores a ratio [m: n] of the length from the intermediate point P to the one end X side and the other end Y side of the line segment ratio indicator (X-P-Y).

  The recording medium reading unit 16 reads data recorded on the recording medium 17. As the recording medium 17, for example, a memory card is used, and a program, a figure, an image, and the like are recorded.

  The communication control unit 18 performs data communication with an external terminal connected via a USB (Universal Serial Bus) (not shown), or data with an external terminal connected wirelessly via a predetermined communication line. Communicate.

  In the electronic computer 10, the CPU 11 controls the operation of each part of the circuit in accordance with the graphic display control program 14a stored in the storage device 14, and the functions executed by the cooperation of hardware and software are as follows. At least the following three functions (1) to (3) are included.

(1) A function of selectively displaying a graphic stored in the problem graphic data storage area 15c or creating and displaying an arbitrary graphic in accordance with a user operation.

(2) A line segment ratio indicator (X-P) consisting of a line connecting a start point X, an intermediate point P, and an end point Y specified in accordance with a user operation on the graphic displayed in accordance with the execution of the function (1). A function for setting and displaying -Y).

(3) The line segment ratio indicator (X-P-Y) that is set and displayed in accordance with the execution of the function (2) holds the line segment ratio [m: n] at the time of setting. A function of dragging XP, YP or end point X, Y or intermediate point P to expand and contract on the figure, and to move and display it.

  Next, the graphic display operation of the electronic calculator (graph scientific calculator) 10 having the above configuration will be described.

  FIG. 3 is a flowchart showing graphic display processing of the electronic calculator 10.

  FIG. 4 is a flowchart showing a linear line segment ratio indicator process accompanying the graphic display process of the electronic calculator 10.

  FIG. 5 is a flowchart showing a polygonal line segment ratio indicator process accompanying the graphic display process of the electronic calculator 10.

  FIG. 6 is a diagram showing a specific example (part 1) of the display operation associated with the linear line segment ratio indicator process of the electronic calculator 10.

  When the graphic display mode is selected and set on the menu screen of the operation mode displayed on the touch panel display unit 13 according to the operation of the “Menu” key 12c, a plurality of items stored in the problem graphic data storage area 15c are stored. The user can select any problem graphic from among the problem graphic types and display it, or can draw and display a problem graphic desired by the user using the graphic drawing function.

  Here, in response to a user operation, for example, as shown in FIG. 6 (T1), a problem graphic ADBCE having an auxiliary line segment DE parallel to the base BC of the triangle ABC is displayed on the touch panel display unit 13. (Step S1).

  When the "line segment ratio" key 12f is operated to set the display mode of the line segment ratio indicator (X-P-Y) (step S2 (Yes)), the start point X, the intermediate point P, and the end point are set by the user. Y is touched and designated, and a line segment ratio indicator (X-P-Y) connecting the three touched points is displayed (step S3).

  At this time, the coordinates of the end points X and Y of the line segment ratio indicator (X-P-Y) are stored in the end point coordinate data storage area 15d, and the coordinates of the intermediate point P are stored in the intermediate point coordinate data storage area 15e. The Accordingly, the ratio [m: n] of the length from the intermediate point P of the line segment ratio indicator (X-P-Y) to one end point X and the other end point Y is stored in the line segment ratio data storage area 15f. Remembered.

  For example, in the problem graphic ADBCE, if the start point X, the intermediate point P, and the end point Y are touched and specified corresponding to the line segment A-D-B, a line segment ratio indicator (3) connecting the touched three points ( X-P-Y) is displayed, and the line segment ratio indicator (X-P-Y) is set to AD: BD = m: n.

  Then, it is determined whether or not the line segment ratio indicator (X-P-Y) is a straight line type (folded line type) (step S4). If it is determined that the line segment ratio indicator (X-P-Y) is a straight line type (step S4 (Yes)), 4 (step SA), and if it is determined to be a broken line type (step S4 (No)), the process moves to a broken line type segment ratio indicator process in FIG. (Step SB).

  Here, as shown in FIG. 6 (T1), the linear line segment ratio indicator (X-P-Y) is set and displayed, and the process proceeds to the linear line segment ratio indicator process in FIG. (Step SA) First, whether or not the line segment XY is dragged in accordance with the user operation (Step A1), whether or not the end points X and Y are dragged (Step A2), or the intermediate point P is It is determined whether or not the drag has been performed (step A3), or whether or not the line segment ratio indicator mode has been canceled by re-operation of the “line segment ratio” key 12f (step A4).

  Here, when it is determined that the line segment itself of the linear line segment ratio indicator (X-P-Y) is touched and the line segment XY is dragged (step A1 (Yes)), for example, FIG. As shown in T2), the entire indicator (X-P-Y) is translated and displayed in the dragged direction (step A5).

  If it is determined that the end point X (Y) of the linear line segment ratio indicator (X-P-Y) is touched and dragged (step A2 (Yes)), the other end point Y (X) that is not dragged is a fulcrum. The indicator (X-P-Y) is redrawn while being expanded and contracted and rotated (step A6).

  Then, the intermediate point P corresponding to the line segment ratio [m: n] stored in the line segment ratio data storage area 15f is redrawn with respect to the line segment XY after the redraw (step A7). ).

  When it is determined that the intermediate point P of the linear line segment ratio indicator (X-P-Y) is touched and dragged (step A3 (Yes)), the line segment ratio of the line segment X-P-Y [ In the state where m: n] is held, the coordinates of the end points X and Y are kept as they are, and new coordinates of the intermediate point P moved in the drag direction are calculated (step A8).

  At this time, when the coordinates of the intermediate point P holding the line segment ratio [m: n] of the line segment X-P-Y according to the drag direction can be calculated (step A9 (Yes)), the intermediate point The polygonal line segment ratio indicator (X-P-Y) having P as the apex is redrawn (step A10).

  The intermediate point P of the linear line segment ratio indicator (X-P-Y) is dragged to a position where the line segment ratio [m: n] of the line segment X-P-Y after the movement cannot be held. If it is (step A9 (No)), an error message indicating that dragging is not possible is displayed (step A11).

  That is, as shown in FIGS. 6 (T1) and (T2), the entire indicator (XPY) obtained by dragging the line segment XY of the linear line segment ratio indicator (XPY). After moving (step A1 → A5), as shown in FIG. 6 (T3), when each end point X and Y is dragged corresponding to each vertex A and C of the problem graphic, the indicator (X−P The line segment XY of -Y) is shortened to match the line segment A-C of the problem graphic, and the intermediate point P corresponding to the line segment ratio [m: n] of the indicator (X-P-Y). Are redrawn (steps A2 → A6, A7).

  At this time, the intermediate point P of the redrawn line segment ratio indicator (X-P-Y) is the auxiliary line segment D-E parallel to the base B-C on the line segment A-C of the problem graphic. Since the similar triangle ABC and triangle ADE are overlapped with each other, the line E of one line segment AB that is divided corresponding to the auxiliary line segment D-E parallel to the base B-C is overlapped. Intuitively understand that the division ratio AD: DB and the division ratio AE: EC of the other line segment AC are equal to the line segment ratio [m: n] of the indicator (X-P-Y). it can.

  On the other hand, as shown in FIG. 6 (F1), the problem graphic ADBCE having the auxiliary line segment DE that is not parallel to the base BC of the triangle ABC is displayed (step S1), and the line segment A is the same as described above. A linear line segment ratio indicator (X-P-Y) corresponding to -D-B is displayed (step S2 → S3).

  Then, according to the same linear segment ratio indicator processing (step SA) as described above, as shown in FIGS. 6 (F2) and (F3), the segment ratio displayed corresponding to the segment A-D-B. The indicator (X-P-Y) is moved and displayed in correspondence with the line segment A-E-C, which is a confirmation target of similarity to the line segment A-D-B.

  At this time, the intermediate point P of the redrawn line segment ratio indicator (X-P-Y) is an auxiliary line segment D that is not parallel to the base B-C, even on the line segment A-C of the problem graphic. Since it can be confirmed that it does not overlap with the intersection point E with -E, the division ratio AD of one line segment AB that is divided corresponding to the auxiliary line segment DE that is not parallel to the base BC of the triangle ABC : It can be intuitively understood that the division ratio AE: EC of DB and the other line segment A-C is not equal.

  Thereafter, if it is determined that the line segment ratio indicator mode has been canceled by re-operation of the “line segment ratio” key 12f (step A4 (Yes)), the line A-E-C corresponding to the problem graphic ADBCE is handled. Thus, the linear line segment ratio indicator (X-P-Y) that has been moved and displayed is deleted (step A12).

  FIG. 7 is a view showing a specific example (part 1) of the display operation associated with the broken line type segment ratio indicator process of the electronic calculator 10.

  Similarly to the problem graphic shown in FIG. 6 (T1), as shown in FIG. 7 (T1), the problem graphic ADBCE having the auxiliary line segment DE parallel to the base BC of the triangle ABC is displayed on the touch panel. It is displayed on the part 13 (step S1).

  Then, the “line segment ratio” key 12f is operated to set the display mode of the line segment ratio indicator (X-P-Y) (step S2 (Yes)), and the line segment AB of the graphic ADBCE being displayed is displayed. The start point X, the intermediate point P, and the end point Y are specified by touching them corresponding to the triangular broken line A-D-E having the intersection D with the auxiliary line segment D-E as a vertex (step S3). Then, a polygonal line segment ratio indicator (X-P-Y) connecting the three touched points is displayed.

  At this time, the coordinates of the end points X and Y of the line segment ratio indicator (X-P-Y) are stored in the end point coordinate data storage area 15d, and the coordinates of the intermediate point P are stored in the intermediate point coordinate data storage area 15e. The Accordingly, the ratio [m: n] of the length from the intermediate point P of the line segment ratio indicator (X-P-Y) to one end point X and the other end point Y is stored in the line segment ratio data storage area 15f. Remembered.

  As a result, a broken line type line segment ratio indicator (X-P-Y) that sets AD: DE = m: n is set in the problem graphic ADBCE.

  Then, it is determined that the line segment ratio indicator (X-P-Y) is not a straight line type but a broken line type (step S4 (No)), and the process proceeds to a broken line type line segment ratio indicator process in FIG. SB).

  In this polygonal line segment ratio indicator process, first, whether or not the line segments XP, PY of the polygonal line segment ratio indicator (X-P-Y) are dragged in accordance with a user operation (step B1). ), Whether the end points X and Y are dragged (step B2), whether the intermediate point P is dragged (step B3), or the line segment ratio indicator by re-operation of the "line segment ratio" key 12f. It is determined whether or not the mode has been canceled (step B4).

  Here, when it is determined that the line segment itself of the broken line segment ratio indicator (X-P-Y) is touched and the line segment XP or P-Y is dragged (step B1 (Yes)), The entire indicator (X-P-Y) is translated and displayed in the dragged direction (step B5).

  If it is determined that the end point X (Y) of the polygonal line segment ratio indicator (X-P-Y) is touched and dragged (step B2 (Yes)), the end point X (Y The line segment X-P (Y-P) between (2) and 2) is drawn again while being expanded and contracted and rotated (step B6).

  Then, dragging is performed so as to hold the line segment ratio [m: n] stored in the line segment ratio data storage area 15f with respect to the line segment XP (YP) after the redrawing. The line segment Y-P (X-P) between the other end point Y (X) and the intermediate point P that has not been expanded and contracted is redrawn (step B7).

  Further, the intermediate point P of the polygonal line segment ratio indicator (X-P-Y) is, for example, as shown in FIG. 7 (T2), the line segment AB forming the outline of the figure where the intermediate point P is located. If it is determined that the object has been dragged in the direction (step B3 (Yes) → B8 (Yes)), the indicator (X-P) displayed along the line segment AB of the outline as the intermediate point P is dragged. The line segment XP of -Y) is stretched and drawn (step B9).

  Then, the other line segment YP is stretched and drawn in a state where the fold line angle XPY and the line segment ratio [m: n] of the fold line type line ratio indicator (X-P-Y) are held (step) B10).

  That is, as shown in FIGS. 7 (T1) to (T3), the intermediate point P of the polygonal line segment ratio indicator (X-P-Y) is set to the base B-- When dragging to one end B of C, the line segment X-P of the indicator (X-P-Y) is expanded to match the line segment A-B of the figure, and the broken line of the indicator (X-P-Y) While maintaining the angle XPY and the line segment ratio [m: n], the other line segments YP are also extended in the direction along the bottom side BC of the figure (steps B3 → B8 to B10).

  At this time, the redrawn broken line-type line segment indicator (X-P-Y) has a line segment AB and a line segment B-- with one end B of the base B-C of the figure (triangle) as an intermediate point P. The line segment ratio AD of the triangle ADE formed inside the upper part of the triangle ABC corresponding to the auxiliary line segment DE parallel to the base BC of the triangle ABC. : DE and the line segment ratio AB: BC of the original triangle ABC can be intuitively understood to be equal to the line segment ratio [m: n] of the indicator (X-P-Y).

  On the other hand, as shown in FIG. 7 (F1), a problem graphic ADBCE having an auxiliary line segment DE that is not parallel to the base BC of the triangle ABC is displayed (step S1), and the line segment A is similarly displayed. A polygonal line segment ratio indicator (X-P-Y) is displayed in correspondence with a triangular broken line A-D-E having an intersection D of -B and a line segment D-E as a vertex (step S2 → S3).

  Then, according to the same broken line type line segment ratio indicator process (step SB), first, as shown in FIGS. 7 (F2) and (F3), the intermediate point P of the line segment ratio indicator (X-P-Y) is set. While dragging to the end point B along the line segment A-B of the figure outline, the line segment XP is expanded, and the other line angle XPY and the line segment ratio [m: n] are maintained. The line segment YP is also extended (steps B3 → B8 to B10).

  After that, as shown in FIG. 7F4, the end point Y of the other line segment Y-P where the bent line segment ratio indicator (X-P-Y) is extended is shown as the line Y-P. Drag so that the length does not change and overlap the base BC of the triangle ABC, and draw the same line segment YP again (steps B2 → B6, B7).

  At this time, the line segment Y-P of the redrawn broken line segment ratio indicator (X-P-Y) is along the base B-C of the problem graphic (triangle), but the base B-C. The line segment ratio AD of the triangle ADE formed in the upper part of the triangle ABC corresponding to the auxiliary line segment DE that is not parallel to the base BC of the triangle ABC can be confirmed. : It can be intuitively understood that DE and the line segment ratio AB: BC of the original triangle ABC are not equal.

  Thereafter, when it is determined that the line segment ratio indicator mode has been canceled by re-operation of the “line segment ratio” key 12f (step B4 (Yes)), it corresponds to the line segment ABC of the problem graphic ADBCE. Then, the broken line type segment ratio indicator (X-P-Y) that has been moved and displayed is erased (step B15).

  FIG. 8 is a diagram showing a specific example (part 2) of the display operation associated with the broken line type line segment ratio indicator process of the electronic calculator 10.

  First, as shown in FIG. 8 (T1), a problem graphic ABEC having an auxiliary line segment A-E that bisects the apex angle BAC of the triangle ABC is displayed on the touch panel display unit 13 (step S1).

  Then, the "line segment ratio" key 12f is operated to set the display mode of the line segment ratio indicator (X-P-Y) (step S2 (Yes)), and the apex angle BAC of the graphic ABEC being displayed is a vertex. The start point X, the intermediate point P, and the end point Y are touched and designated so as to correspond to the triangular broken line B-A-C (step S3). Then, a polygonal line segment ratio indicator (X-P-Y) connecting the three touched points is displayed.

  At this time, the coordinates of the end points X and Y of the line segment ratio indicator (X-P-Y) are stored in the end point coordinate data storage area 15d, and the coordinates of the intermediate point P are stored in the intermediate point coordinate data storage area 15e. The Accordingly, the ratio [m: n] of the length from the intermediate point P of the line segment ratio indicator (X-P-Y) to one end point X and the other end point Y is stored in the line segment ratio data storage area 15f. Remembered.

  Thus, a broken line type line segment ratio indicator (X-P-Y) of AB: AC = m: n is set in the problem graphic ABEC.

  Then, it is determined that the line segment ratio indicator (X-P-Y) is not a straight line type but a broken line type (step S4 (No)), and the process proceeds to a broken line type line segment ratio indicator process in FIG. SB).

  Here, as shown in FIG. 8 (T2), for example, the intermediate point P of the polygonal line segment ratio indicator (X-P-Y) is not in the direction along the line segment of the figure (in this case, If it is determined that the vertex angle BAC is dragged in the direction of the auxiliary line segment A-E that bisects the apex angle BAC (step B3 (Yes) → B8 (No)), the line of the indicator line segment X-P-Y While maintaining the fraction [m: n], the coordinates of the end points X and Y are kept as they are, and new coordinates of the intermediate point P moved in the drag direction are calculated (step B11).

  When the coordinates of the intermediate point P holding the line segment ratio [m: n] of the line segment X-P-Y is calculated according to the drag direction (step B12 (Yes)), the intermediate point P is calculated. The polygonal line segment ratio indicator (X-P-Y) having the vertex at is redrawn (step B13).

  The intermediate point P of the polygonal line segment ratio indicator (X-P-Y) is dragged to a position where the segment ratio [m: n] of the line segment X-P-Y after the movement cannot be held. If it is (step B12 (No)), an error message indicating that dragging is not possible is displayed (step B14).

  That is, as shown in FIGS. 8 (T1) to (T3), the intermediate point P of the polygonal line segment ratio indicator (X-P-Y) is along the bisector AE of the apex angle BAC. When dragging in the direction to the intersection E with the base BC, a new intermediate point P is calculated while maintaining the end points X and Y and the line segment ratio [m: n] of the indicator (X-P-Y). Are redrawn (steps B3 → B8 → B11 to B13).

  At this time, the redrawn broken line segment ratio indicator (X-P-Y) is sequentially re-drawn in a state where the intermediate point P completely coincides with the bisector A-E, and finally Since the base (B-E-C) of the figure (triangle) having the intersection E with the bisector A-E completely coincides and overlaps, the line segment A-E that bisects the apex angle BAC of the triangle ABC The line segment ratio AB: AC and the base line segment ratio BE: EC of the same triangle ABC divided into right and left corresponding to the line segment ratio of the indicator (X-P-Y) [m: n] is intuitively understood.

  On the other hand, as shown in FIG. 8 (F1), a problem graphic ABEC having an auxiliary line segment A-E that is not a bisector of the apex angle BAC of the triangle ABC is displayed (step S1), and the same as above. A polygonal line segment ratio indicator (X-P-Y) is displayed in correspondence with the triangular broken line B-A-C having the apex angle BAC as a vertex (steps S2 to S3).

  Then, according to the same broken line type line segment ratio indicator processing (step SB) as shown in FIGS. 8 (F2) and (F3), the intermediate point P of the line segment ratio indicator (X-P-Y) is represented by a graphic ( Drag to the base B-C of the triangle) and redraw the indicator (X-P-Y) while maintaining the end points X, Y and the line segment ratio [m: n] (step B3 → B8 → B11-B13).

  At this time, even if the line segment X-P-Y of the redrawn broken line-type line segment indicator (X-P-Y) is redrawn along the bottom B-C of the problem graphic (triangle ABC). Since the intermediate point P can be confirmed not to coincide with the intersection E between the auxiliary line segment A-E and the base B-C, the line segment that simply bisects the apex angle BAC of the triangle ABC is not bisected. It can be intuitively understood that the line segment ratio AB: AC of the same triangle ABC divided into right and left corresponding to A-E is not equal to the line segment ratio BE: EC of its base.

  FIG. 9 is a diagram showing a specific example (No. 2) of the display operation associated with the linear line segment ratio indicator process of the electronic calculator 10.

  First, as shown in FIG. 9 (T1), a problem graphic ABCDQ having two auxiliary line segments AC and BD that are diagonal lines of the trapezoid ABCD is displayed on the touch panel display unit 13.

  Here, for the two triangles AQD and BQC formed with the intersection point Q of the two auxiliary line segments AC and BD as the symmetry point, the line segment ratio between the corresponding bases AD and BC In order to learn that m: n is equal to the line segment ratio m: n between the line segments DQ and QB, the line segment A-D is copied and connected to the line segment BC as preprocessing. (Step S1).

  Then, the “line segment ratio” key 12f is operated to set the display mode of the line segment ratio indicator (X-P-Y) (step S2 (Yes)), and the display is in progress as shown in FIG. 9 (T2). The start point X, the intermediate point P, and the end point Y are touched and designated so as to correspond to the line segment (D)-(A) CB (step S3). Then, a linear line segment ratio indicator (X-P-Y) connecting the touched three points is displayed.

  Thereby, in the problem graphic ABCDQ, a linear line segment ratio indicator (X-P-Y) of AD: BC = m: n is set.

  Then, the line segment ratio indicator (X-P-Y) is determined to be a linear type (step S4 (Yes)), and the process proceeds to the linear type line segment ratio indicator process in FIG. 4 (step SA).

  Here, as shown in FIGS. 9 (T3) and (T4), the line segment X-Y of the linear line segment ratio indicator (X-P-Y) is dragged to translate it as a whole (step A1). → A5), dragging the end points X and Y and moving / stretching / redrawing the line segment X-Y and the intermediate point P while maintaining the line segment ratio [m: n] (step A2) → A6, A7), display according to the line segment D-B of which the similarity is to be confirmed.

  At this time, as shown in FIG. 9 (T4), the redrawed midpoint P of the line segment ratio indicator (X-P-Y) is a line segment D-B which is one diagonal line of the problem graphic (trapezoid ABCD). Can be confirmed to coincide with the intersection D between the line segment A-C and the other diagonal line, so that two triangles formed with the intersection point Q of the two line segments AC and DB as the symmetry point For AQD and BQC, the line segment ratio AD: BC of each corresponding base and the line segment D-B division ratio DQ: QB divided by the intersection point Q are both of the indicator (X-P-Y). It can be intuitively understood that it is equal to the line segment ratio [m: n].

  Therefore, according to the graphic display function of the electronic calculator (graph scientific calculator) 10 having the above configuration, a user arbitrary graphic is displayed, and a series of three points among a plurality of vertices and intersections of each line segment constituting the graphic. Is designated as a start point, a middle point, and an end point, a straight line or broken line indicator (X-P-Y) connecting the designated three points in correspondence with the line segment of the figure is set and displayed. And if this indicator (X-P-Y) is moved corresponding to the other line segment which comprises the figure in display, the said indicator (X-P-Y) will be the line segment ratio (( In a state where XP: YP = m: n) is held, it is stretched and deformed and displayed.

  For this reason, an indicator (X-P-Y) is set and displayed in accordance with one line segment to be compared on an arbitrary figure, and then moved and displayed in accordance with the other line segment. Thus, it is possible to easily check whether or not the line segment ratio is the same, and it is possible to learn the ratio of the geometric figure by an intuitive operation.

  In addition, each operation method by the electronic calculator 10 described in the above embodiments, that is, the graphic display process shown in the flowchart of FIG. 3 and the linear line segment ratio accompanying the graphic display process shown in the flowchart of FIG. Each method such as the indicator processing and the polygonal line segment ratio indicator processing associated with the graphic display device shown in the flowchart of FIG. 5 is a memory card (ROM card, RAM card, etc.) as a program that can be executed by a computer. It can be recorded and distributed on a storage medium (recording medium 17) such as a magnetic disk (flexible pull disk, hard disk, etc.), optical disk (CD-ROM, DVD, etc.), semiconductor memory or the like. The computer (CPU 11) of the electronic calculator 10 can execute the same graphic display processing by the above-described method by reading the program recorded in the storage medium.

  Further, program data for realizing the above technique can be transmitted as a program code form via a communication network (public line). Then, the computer (CPU 11) of the electronic computer 10 receives this program by the communication device (communication control unit 18) connected to the communication network, thereby executing the same graphic display processing by the method described above. Can do.

  Note that the present invention is not limited to the above-described embodiments, and various modifications can be made without departing from the scope of the invention at the stage of implementation. Further, each of the embodiments includes inventions at various stages, and various inventions can be extracted by appropriately combining a plurality of disclosed constituent elements. For example, even if some constituent elements are deleted from all the constituent elements shown in each embodiment or some constituent elements are combined in different forms, the problems described in the column of the problem to be solved by the invention If the effects described in the column “Effects of the Invention” can be obtained, a configuration in which these constituent requirements are deleted or combined can be extracted as an invention.

10 ... Electronic calculator (graph calculator)
11 ... CPU
DESCRIPTION OF SYMBOLS 12 ... Key input part 12a ... Numerical value / symbol key 12b ... Function / operator key 12c ... "Menu" key 12d ... "Shift" key 12e ... "Color" key 12f ... "Line segment ratio" key 12g ... "Graph" key 12h ... "EXIT" key 12i ... Cursor keys F1 to F6 ... Function keys 13 ... Touch panel display 13d ... Color liquid crystal display screen 13t ... Transparent touch panel 14 ... Storage device 14a ... Graphic display control program 15 ... RAM
15a ... Display data storage area 15b ... Formula data storage area 15c ... Problem graphic data storage area 15d ... End point coordinate data storage area 15e ... Intermediate point coordinate data storage area 15f ... Line segment ratio data storage area 16 ... Recording medium reading unit 17 ... Recording medium 18 ... communication control unit

Claims (4)

Graphic display means for displaying a graphic;
Graphic point designation means for designating an arbitrary series of three points as a start point, an intermediate point, and an end point in response to a user operation among a plurality of vertices and intersections on each line segment constituting the graphic displayed by the graphic display means When,
Indicator display means for identifying and displaying, as an indicator, a line segment connecting the start point, the intermediate point, and the end point specified by the graphic point specifying means;
The indicator displayed by the indicator display means is expanded and contracted in accordance with the user operation while maintaining the ratio between the length between the start point and the intermediate point and the length between the intermediate point and the end point, and is set to another line segment. Indicator moving means for moving and displaying together, and
A graphic display device characterized by comprising:   2. The graphic display device according to claim 1, wherein the indicator display means identifies and displays a line segment connecting the start point, the intermediate point, and the end point designated by the graphic point designation means as a linear indicator.   The indicator display means identifies and displays a line segment connecting the start point, the intermediate point, and the end point specified by the figure point specifying means as a polygonal line indicator having the intermediate point as a vertex. The graphic display device described in 1. Computer
Graphic display means for displaying a graphic on the display unit;
Graphic point designation means for designating an arbitrary series of three points as a start point, an intermediate point, and an end point in response to a user operation among a plurality of vertices and intersections on each line segment constituting the graphic displayed by the graphic display means ,
Indicator display means for identifying and displaying the line segment connecting the start point, the intermediate point, and the end point specified by the graphic point specifying means as an indicator;
The indicator displayed by the indicator display means is expanded and contracted in accordance with the user operation while maintaining the ratio between the length between the start point and the intermediate point and the length between the intermediate point and the end point, and is set to another line segment. Indicator moving means to move and display together,
Program to function as.

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