Function relation visualization model device

Abstract

The invention discloses a function relationship visualization model device, and belongs to the technical field of teaching tools, the function relationship visualization model device comprises a model plate, the model plate is provided with L-shaped plates, and the L-shaped plates are located at the left side and the bottom of the model plate; the L-shaped plate is provided with an adjustable grid line, the grid line extends to the model plate, the grid line is provided with a function curve module for displaying a function relationship, the function curve module is detachably connected with the grid line, the grid line is provided with a tangent indicator and a normal indicator, and the tangent indicator and the normal indicator are connected with the model plate. The tangent indicator and the normal indicator are detachably connected with the grid lines. According to the method, different function relations can be displayed outwards, so that a teacher can better display the function relation graph to students, and the students can intuitively understand the change rule of the function image and the significance of feature points.

Description

Technical Field

[0001] The invention belongs to the technical field of teaching tools, and in particular relates to a functional relationship visualization model device. Background Art

[0002] Mathematical function model is a way to abstract and mathematically process practical problems. It can transform problems into mathematical expressions or equations, which makes it easier to solve. Function models are divided into univariate function models and multivariate function models. When demonstrating function models, a mathematical function model demonstration tool is required. Definition of tangent equation: A tangent line refers to a straight line that has only one intersection with a curve at a certain point, and this point is called the tangent point. The tangent line reflects the local change trend of the curve at this point. Definition of normal equation: The normal line is a straight line that passes through the tangent point and is perpendicular to the tangent line.

[0003] In the existing teaching process, when teachers teach students about functional relationships, they are unable to display and present the functional relationship graph, as well as the relationship graph between the normal and tangent lines on the functional equation and the function in real time, which causes students to be unable to understand the functional relationship and leads to poor teaching results. Summary of the invention

[0004] The embodiment of the present invention provides a functional relationship visualization model device to solve the problems in the prior art.

[0005] The embodiment of the present invention adopts the following technical scheme: a functional relationship visualization model device, comprising a model plate, an L-shaped plate is provided on the model plate, and the L-shaped plate is located at the left side and bottom position of the model plate; the L-shaped plate is provided with adjustable grid lines, and the grid lines extend to the model plate, and the grid lines are provided with function curve modules for displaying functional relationships, and the function curve modules are detachably connected to the grid lines, and the grid lines are provided with tangent indicators and normal indicators, and the tangent indicators and normal indicators are detachably connected to the grid lines.

[0006] Furthermore, the L-shaped plate includes a horizontal plate and a vertical plate, a y-axis line is provided in the vertical plate direction of the L-shaped plate, and an x-axis line is provided in the horizontal plate direction of the L-shaped plate.

[0007] Furthermore, the grid line includes a number of equally spaced horizontal plate frames and a number of equally spaced vertical plate frames, the horizontal plate is provided with two first slide grooves, the vertical plate is provided with a second slide groove, the horizontal plate frame is provided with two first strong magnetic blocks, and the vertical plate frame is provided with two second strong magnetic blocks.

[0008] Furthermore, a horizontal iron block is provided in each of the two first chutes, a vertical iron block is provided in each of the two second chutes, the first strong magnetic block and the horizontal iron block are magnetically attracted to each other, and the second strong magnetic block and the vertical iron block are magnetically attracted to each other.

[0009] Furthermore, the function curve module includes a curve rope and a number of connecting parts arranged on a horizontal plate frame or a vertical plate frame, the connecting parts include a clamping frame, a locking screw with a threaded connection is provided on the clamping frame, a clamping groove is provided on the clamping frame, a rotating column rotatably connected thereto is provided on the clamping frame, a mounting hole is provided on the rotating column, a pressing round block is provided in the mounting hole, a pressing spring is provided between the pressing round block and the rotating column, and a shift block is provided on the pressing round block.

[0010] Furthermore, a red indicator light is provided on the curved rope.

[0011] Furthermore, the tangent indicator includes a tangent rope and two tangent circular seats, both of which are provided with a first circular strong magnetic block, which can be adsorbed on the transverse plate frame, and the tangent circular seat is provided with a first connecting hole, and the tangent circular seat is provided with a first interference screw.

[0012] Furthermore, the normal indicator includes a normal rope and two normal round seats, both of which are provided with a second circular strong magnetic block, which can be adsorbed on the transverse plate frame, the tangent circular seat is provided with a second connecting hole, and the normal circular seat is provided with a second interference screw.

[0013] Furthermore, a green indicator light and a yellow indicator light are respectively provided on the tangent rope and the normal rope.

[0014] Furthermore, a mounting seat is provided at the bottom of the L-shaped plate, and two suction cups are provided on the model plate.

[0015] At least one of the above technical solutions adopted in the embodiments of the present invention can achieve the following beneficial effects:

[0016] Firstly, when the function relationship diagram is displayed on a horizontal plate frame or a vertical plate frame, the present invention respectively engages the clamping grooves on the clamping frame with the horizontal plate frame and the vertical plate frame 32, and then rotates the locking screw to fix the clamping frame on the corresponding horizontal plate frame or the vertical plate frame 32, and the rotating column can be rotated on the clamping frame, so that when the function relationship diagram encounters an arc during the process of being displayed outward, the position of the curve can be clamped and fixed, so as to display the arc transition of the curve outward, and when the curve is fixed and limited, the curve is clamped in the mounting hole in the rotating column, and the block is used to adjust the position of the curve. Move the pressing block upwards to compress the pressing spring. After the curve passes through the mounting hole, release the shift block and extend the pressing block outwards through the pressing spring, thereby fixing the curve in the mounting hole. During use, the function relationship graph can be displayed. According to the changes in the function relationship graph, the card frame can be carded on different horizontal plates and vertical plates 32 to display different function relationships outwards, so that teachers can better show the function relationship graph to students and enable students to intuitively understand the changing rules of the function graph and the meaning of the characteristic points.

[0017] Secondly, after the functional relationship model diagram is displayed on the model board, the two first circular strong magnetic blocks of the two tangent circular seats can be attached to the corresponding horizontal plate frame, and then the first interference screws can be loosened respectively, and the two ends of the tangent rope can be respectively inserted into the first connecting holes on the two tangent circular seats. After the tangent rope is straightened or stretched, the first interference screws can be rotated respectively, and the two ends of the tangent rope can be fixed in the two first connecting holes of the two tangent circular seats respectively. The tangent rope can then display the tangent equation diagram of the function to the outside.

[0018] Thirdly, after the functional relationship model diagram is displayed on the model board, the two second circular strong magnetic blocks of the two normal round seats can be attached to the corresponding horizontal plate frame, and then the second interference screws can be loosened respectively, and the two ends of the normal rope can be inserted into the second connecting holes on the two normal round seats respectively. After the normal rope is straightened or stretched, the second interference screws can be rotated respectively, and the two ends of the normal rope can be fixed in the two second connecting holes of the two normal round seats respectively, and the normal rope can display the normal equation diagram of the function to the outside. BRIEF DESCRIPTION OF THE DRAWINGS

[0019] The drawings described herein are used to provide a further understanding of the present invention and constitute a part of the present invention. The exemplary embodiments of the present invention and their descriptions are used to explain the present invention and do not constitute an improper limitation of the present invention. In the drawings:

[0020] Figure 1 It is a schematic diagram of the three-dimensional structure of the present invention;

[0021] Figure 2It is a front view of the present invention;

[0022] Figure 3 It is a schematic diagram of the three-dimensional structure of the L-shaped plate in the present invention;

[0023] Figure 4 It is a schematic diagram of a local three-dimensional structure of the grid lines in the present invention;

[0024] Figure 5 Schematic diagram of the three-dimensional structure of the function curve module in the present invention;

[0025] Figure 6 It is a schematic diagram of a local three-dimensional structure of a function curve module in the present invention;

[0026] Figure 7 It is a schematic diagram of the three-dimensional structure of the tangent indicator and the normal indicator in the present invention;

[0027] Figure 8 It is a partial three-dimensional structural schematic diagram of the tangent indicator in the present invention;

[0028] Fig. 9 It is a schematic diagram of a partial three-dimensional structure of a normal indicator in the present invention;

[0029] Reference numerals

[0030] Model plate 1, L-shaped plate 2, horizontal plate 21, vertical plate 22, first slide groove 23, second slide groove 24, grid line 3, horizontal plate frame 31, vertical plate frame 32, first strong magnetic block 33, second strong magnetic block 34, function curve module 4, curve rope 40, clamping frame 41, locking screw 42, clamping groove 43, rotating column 44, mounting hole 45, pressing round block 46, pressing spring 47, shift block 48, tangent indicator 5, tangent rope 51, tangent round seat 52, first round strong magnetic block 53, first connecting hole 54, first contact screw 55, normal indicator 6, normal rope 61, normal round seat 62, second round strong magnetic block 63, second connecting hole 64, second contact screw 65, mounting seat 7. DETAILED DESCRIPTION

[0031] In order to make the purpose, technical solution and advantages of the present invention clearer, the technical solution of the present invention will be clearly and completely described below in conjunction with the specific embodiments of the present invention and the corresponding drawings. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0032] The technical solutions provided by various embodiments of the present invention are described in detail below in conjunction with the accompanying drawings.

[0033] Reference Figures 1 to 9As shown, an embodiment of the present invention provides a function relationship visualization model device, including a model plate 1, on which an L-shaped plate 2 is provided, and the L-shaped plate 2 is located at the left side and bottom of the model plate 1; the L-shaped plate 2 is provided with adjustable grid lines 3, and the grid lines 3 extend to the model plate 1, and the grid lines 3 are provided with function curve modules 4 for displaying function relationships, and the function curve modules 4 are detachably connected to the grid lines 3, and the grid lines 3 are provided with tangent indicators 5 and normal indicators 6, and the tangent indicators 5 and normal indicators 6 are detachably connected to the grid lines 3.

[0034] Specifically, the L-shaped plate 2 includes a horizontal plate 21 and a vertical plate 22, a y-axis line is provided in the direction of the vertical plate 22 of the L-shaped plate 2, and an x-axis line is provided in the direction of the horizontal plate 21 of the L-shaped plate 2; the grid line 3 includes a plurality of equally spaced transverse plate frames 31 and a plurality of equally spaced vertical plate frames 32, the horizontal plate 21 is provided with two first slide grooves 23, the vertical plate 22 is provided with a second slide groove 24, the transverse plate frame 31 is provided with two first strong magnetic blocks 33, and the vertical plate frame 32 is provided with two second strong magnetic blocks 34; the two first slide grooves 23 are each provided with a horizontal iron block, and the two second slide grooves 24 are each provided with a vertical iron block, the first strong magnetic block 33 and the horizontal iron block are magnetically attracted to each other, and the second strong magnetic block 34 and the vertical iron block are magnetically attracted to each other.

[0035] When in use, several horizontal plate frames 31 move up and down in the two second slide grooves 24 respectively, and several vertical plate frames 32 move left and right in the two first slide grooves 23 respectively. During the movement, the first strong magnetic block 33 on the horizontal plate frame 31 can be adsorbed on the vertical iron block, and the second strong magnetic block 34 on the vertical plate frame 32 can be adsorbed on the horizontal iron block. The positions of several horizontal plate frames 31 and vertical plate frames 32 can be limited and fixed respectively. The horizontal plate frames 31 and vertical plate frames 32 can simulate the numerical values ​​on the x-axis and y-axis, and the positions of the horizontal plate frames 31 and vertical plate frames 32 can be moved respectively, the scale can be changed, and different function relationship diagrams can be simulated and displayed.

[0036] Specifically, the function curve module 4 includes a curve rope 40 and a plurality of connecting parts arranged on the horizontal plate frame 31 or the vertical plate frame 32, the connecting parts include a clamping frame 41, a locking screw 42 with a threaded connection is provided on the clamping frame 41, a clamping groove 43 is provided on the clamping frame 41, a rotating column 44 rotatably connected thereto is provided on the clamping frame 41, a mounting hole 45 is provided on the rotating column 44, a pressing round block 46 is provided in the mounting hole 45, a pressing spring 47 is provided between the pressing round block 46 and the rotating column 44, and a shift block 48 is provided on the pressing round block 46.

[0037] When the function relationship diagram is displayed on the horizontal plate frame 31 or the vertical plate frame 32, the clamping groove 43 on the clamping frame 41 is respectively clamped on the horizontal plate frame 31 and the vertical plate frame 32, and the locking screw 42 is rotated to fix the clamping frame 41 on the corresponding horizontal plate frame 31 or the vertical plate frame 32, and the rotating column 44 can be rotated on the clamping frame 41, so that when the function relationship diagram encounters an arc during the process of being displayed outward, the position of the curve rope 40 can be clamped and fixed. The curved rope 40 is fixed so as to show the arc transition of the curved rope 40 outwardly. When the curved rope 40 is fixed and limited, the curved rope 40 is clamped in the mounting hole 45 in the rotating column 44, and the pressing round block 46 is moved upward by the shifting block 48, so that the pressing round block 46 compresses the pressing spring 47. After the position of the curved rope 40 passes through the mounting hole 45, the shifting block 48 can be released, and the pressing round block 46 is extended outward by the pressing spring 47, so that the curved rope 40 is fixed in the mounting hole 45;

[0038] The function relationship graph can be displayed during use. According to the changes of the function relationship graph, the snap-on frame 41 can be snapped on different horizontal plates 31 and vertical plates 32 so as to display different function relationships externally. This allows teachers to better display the function relationship graph to students, and enables students to intuitively understand the changing rules of the function graph and the meaning of the characteristic points.

[0039] Specifically, a red indicator light is provided on the curve rope 40. When the functional relationship is displayed, the red indicator light on the curve rope 40 lights up to objectively and clearly show the functional relationship curve rope 40 to the students.

[0040] Specifically, the tangent indicator 5 includes a tangent rope 51 and two tangent circular seats 52. Both of the tangent circular seats 52 are provided with a first circular strong magnetic block 53. The first circular strong magnetic block 53 can be adsorbed on the transverse plate frame 31. The tangent circular seat 52 is provided with a first connecting hole 54, and the tangent circular seat 52 is provided with a first interference screw 55.

[0041] After the function relationship model diagram is displayed on the model board 1, the two first circular strong magnetic blocks 53 of the two tangent circular seats 52 can be attached to the corresponding horizontal plate frame 31, and then the first interference screws 55 can be loosened respectively, and the two ends of the tangent rope 51 can be respectively inserted into the first connecting holes 54 on the two tangent circular seats 52. After the tangent rope 51 is straightened or stretched, the first interference screws 55 can be rotated respectively to fix the two ends of the tangent rope 51 in the two first connecting holes 54 of the two tangent circular seats 52 respectively, and the tangent rope 51 can display the tangent equation diagram of the function to the outside.

[0042] Specifically, the normal indicator 6 includes a normal rope 61 and two normal round seats 62, each of the two normal round seats 62 is provided with a second round strong magnetic block 63, the second round strong magnetic block 63 can be adsorbed on the transverse plate frame 31, the tangent round seat 52 is provided with a second connecting hole 64, and the normal round seat 62 is provided with a second abutment screw 65;

[0043] After the function relationship model diagram is displayed on the model plate 1, the two second circular strong magnetic blocks 63 of the two normal round seats 62 can be attached to the corresponding horizontal plate frame 31, and then the second interference screws 65 can be loosened respectively, and the two ends of the normal rope 61 can be respectively inserted into the second connecting holes 64 on the two normal round seats 62. After the normal rope 61 is straightened or stretched, the second interference screws 65 can be rotated respectively to fix the two ends of the normal rope 61 in the two second connecting holes 64 of the two normal round seats 62 respectively, and the normal rope 61 can display the normal equation diagram of the function to the outside.

[0044] Specifically, the tangent rope 51 and the normal rope 61 are respectively provided with a green indicator light and a yellow indicator light.

[0045] During use, the green indicator light can objectively display the tangent equation model diagram, and the yellow indicator light can objectively display the normal equation model diagram. It is used to explain the concept of derivative, allowing students to intuitively understand the changing rules of function graphs and the meaning of characteristic points.

[0046] Specifically, a mounting seat 7 is provided at the bottom of the L-shaped plate 2, and two suction cups are provided on the model plate 1;

[0047] When demonstrating the functional relationship to students, the mounting base 7 can place the model on the table, and the two suction cups can adsorb the model board 1 on the teaching blackboard, so that the functional model can be better demonstrated to the outside.

[0048] The above description is only an embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent substitution, improvement, etc. made within the spirit and principle of the present invention should be included in the scope of the claims of the present invention.

Claims

1. A functional relationship visualization model device, characterized in that: It comprises a model plate (1), wherein an L-shaped plate (2) is provided on the model plate (1), and the L-shaped plate (2) is located at the left side and bottom of the model plate (1); The L-shaped plate (2) is provided with adjustable grid lines (3), and the grid lines (3) extend to the model plate (1); The grid lines (3) are provided with function curve modules (4) for displaying the functional relationship, and the function curve modules (4) are detachably connected to the grid lines (3); The grid line (3) is provided with a tangent indicator (5) and a normal indicator (6), and the tangent indicator (5) and the normal indicator (6) are detachably connected to the grid line (3).

2. A functional relationship visualization model device according to claim 1, characterized in that: The L-shaped plate (2) comprises a horizontal plate (21) and a vertical plate (22); a y-axis line is provided in the direction of the vertical plate (22) of the L-shaped plate (2); and an x-axis line is provided in the direction of the horizontal plate (21) of the L-shaped plate (2).

3. A functional relationship visualization model device according to claim 2, characterized in that: The grid line (3) comprises a plurality of horizontal frames (31) arranged at equal intervals and a plurality of vertical frames (32) arranged at equal intervals; The horizontal plate (21) is provided with two first sliding grooves (23), and the vertical plate (22) is provided with a second sliding groove (24); The transverse plate frame (31) is provided with two first strong magnetic blocks (33), and the vertical plate frame (32) is provided with two second strong magnetic blocks (34).

4. A functional relationship visualization model device according to claim 3, characterized in that: A horizontal iron block is disposed in each of the two first chutes (23), and a vertical iron block is disposed in each of the two second chutes (24); The first strong magnetic block (33) and the horizontal iron block are magnetically attracted to each other, and the second strong magnetic block (34) and the vertical iron block are magnetically attracted to each other.

5. A functional relationship visualization model device according to claim 3, characterized in that: The function curve module (4) comprises a curve rope (40) and a plurality of connecting members arranged on a transverse plate frame (31) or a vertical plate frame (32); The connecting member comprises a clamping frame (41), a locking screw (42) connected by a thread is provided on the clamping frame (41), and a clamping groove (43) is provided on the clamping frame (41); The clamping frame (41) is provided with a rotating column (44) rotatably connected thereto, the rotating column (44) is provided with a mounting hole (45), and a pressing round block (46) is provided in the mounting hole (45); A pressing spring (47) is provided between the pressing round block (46) and the rotating column (44), and a shifting block (48) is provided on the pressing round block (46).

6. A functional relationship visualization model device according to claim 5, characterized in that: The curved rope (40) is provided with a red indicator light.

7. A functional relationship visualization model device according to claim 5, characterized in that: The tangent indicator (5) comprises a tangent rope (51) and two tangent round seats (52); The two tangent circular seats (52) are each provided with a first circular strong magnetic block (53), and the first circular strong magnetic block (53) can be adsorbed on the transverse plate frame (31); The tangent circular seat (52) is provided with a first connecting hole (54), and the tangent circular seat (52) is provided with a first abutting screw (55).

8. A functional relationship visualization model device according to claim 7, characterized in that: The normal indicator (6) comprises a normal rope (61) and two normal round seats (62); The two normal circular seats (62) are each provided with a second circular strong magnetic block (63), and the second circular strong magnetic block (63) can be adsorbed on the transverse plate frame (31); The tangent circular seat (52) is provided with a second connecting hole (64), and the normal circular seat (62) is provided with a second abutting screw (65).

9. A functional relationship visualization model device according to claim 8, characterized in that: The tangent rope (51) and the normal rope (61) are respectively provided with a green indicator light and a yellow indicator light.

10. The functional relationship visualization model device according to claim 1, characterized in that: A mounting seat (7) is provided at the bottom of the L-shaped plate (2), and two suction cups are provided on the model plate (1).

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