Triangle trilateral relation demonstration instrument

By designing a triangle trilateral relationship demonstration instrument, combined with the dynamic display of the rotating plate and the magnetic drawing board, the problem that traditional teaching aids cannot intuitively display the changes in the triangle trilateral relationship and fan area are solved, and students' interest in learning and comprehensive thinking ability are improved.

CN120260402APending Publication Date: 2025-07-04施继果
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Patent Information

Application Number
CN202510633671.X
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-05-16
Publication Date
2025-07-04

AI Technical Summary

Technical Problem

Traditional teaching methods are difficult to intuitively and dynamically display the relationship between triangular triangular relationship and the relationship between sector area and angle changes, and lack comprehensive teaching aids, which affects students' learning interest and comprehensive thinking ability.

Method used

A triangle trilateral relationship demonstration instrument was designed, including a disc, a fixed plate, a rotating plate, a draw rope, a magnetic drawing board, a drawing structure and an erasing structure. The triangle trilateral relationship is displayed through the rotation of the rotating plate, and the changes in the sector area and angle are dynamically displayed on the magnetic drawing board.

Benefits of technology

The organic combination of triangle trilateral relationship and sector area and angle changes is achieved, students' interest in learning and comprehensive thinking ability are improved, and the practicality and effectiveness of geometric teaching are enhanced.

✦ Generated by Eureka AI based on patent content.

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Abstract

The invention discloses a triangle trilateral relationship demonstration instrument, which comprises a disc, a fixed plate, a rotating plate, a pull rope, a magnetic drawing board, a drawing structure and an erasing structure, and is characterized in that the fixed plate is fixedly arranged at the circle center of the disc, and the rotating plate is rotatably arranged at the circle center of the disc and is reset through an elastic torsion structure; the fixed plate and the rotating plate are respectively provided with a movable piece capable of being locked; one end of the pull rope is arranged on the moving part of the rotating plate, and the other end of the pull rope penetrates through the moving part of the fixed plate and extends outwards; the magnetic drawing board is embedded in the disc; the drawing structure and the erasing structure are located on the two sides of the magnetic drawing board respectively, the drawing structure is arranged on the rotating plate, and the erasing structure is arranged on the elastic torsion structure so as to magnetically attract magnetic powder in the magnetic drawing board, so that tracks are displayed or eliminated. According to the application, the learning interest and the learning effect of students can be improved by intuitively, dynamically and comprehensively displaying the relationship between the three sides of the triangle and the change relationship between the sector area and the angle.
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Description

Technical Field

[0001] This application relates to the technical field of teaching aids, and particularly to a demonstrator for the relationship among the three sides of a triangle. Background Art

[0002] In mathematics teaching, the relationship among the three sides of a triangle (i.e., the sum of any two sides of a triangle is greater than the third side) is an important knowledge point.

[0003] Traditional teaching methods usually rely on blackboard drawing and paper teaching aids for simple demonstrations. Blackboard drawing is limited by drawing accuracy and dynamic display capabilities, and it is difficult to intuitively present the dynamic process of various situations when the lengths of the three sides of a triangle change; the size and shape of paper teaching aids are fixed and cannot be flexibly adjusted to display triangles and sectors of different sizes and shapes, making it difficult for students to comprehensively understand the performance of these concepts in different situations. For students, due to lack of in-depth understanding, they can only passively accept, and the learning effect is not ideal.

[0004] In addition, when existing teaching aids display the relationship among the three sides of a triangle and the relationship between the area of a sector and the change of the angle, they are often carried out separately, lacking a comprehensive teaching aid that can organically combine the two, and unable to enable students to understand the connection between these two important mathematical concepts in one operation process, which is not conducive to cultivating students' comprehensive thinking ability and knowledge transfer ability.

[0005] Therefore, a demonstrator is needed that can intuitively, dynamically and comprehensively display the relationship among the three sides of a triangle and the relationship between the area of a sector and the change of the angle, so as to improve students' learning interest and learning effect. Summary of the Invention

[0006] This application aims to solve at least one of the technical problems in the above technologies to some extent.

[0007] To achieve the above object, a demonstrator for the relationship among the three sides of a triangle is proposed in the first aspect of this application, including: a disc, a fixing plate, a rotating plate, a pulling rope, a magnetic drawing board, a drawing structure and an erasing structure. Wherein, one end of the fixing plate is fixedly arranged at the center of the disc, the rotating plate is rotatably arranged at the center of the disc and is reset by an elastic torsion structure arranged at the pivot end, and movable parts that can be locked are respectively arranged along the length direction on the fixing plate and the rotating plate; one end of the pulling rope is arranged on the movable part of the rotating plate, and the other end extends outwards through the movable part of the fixing plate; the magnetic drawing board is embedded on the disc along the rotation path of the rotating plate; the drawing structure and the erasing structure are respectively located on both sides of the magnetic drawing board, wherein the drawing structure is arranged on the rotating plate, and the erasing structure is arranged on the elastic torsion structure to magnetize the magnetic powder in the magnetic drawing board respectively according to the rotation direction of the rotating plate, so as to display or eliminate the track.

[0008] In addition, the triangular trilateral relationship demonstrator proposed above according to the present application may further have the following additional technical features:

[0009] As a further description of the above technical solution: an arc-shaped groove is provided on the outer edge of the disc, the end of the rotating plate is movably arranged in the arc-shaped groove, and angle lines are provided on the outer edge of the arc-shaped groove; a bow-shaped handle is arranged on the back of the disc.

[0010] As a further description of the above technical solution: a slide rail is arranged on the fixed plate along the length direction; a sliding sleeve is slidably arranged on the slide rail and locked by a locking bolt; an annular ring is arranged on the sliding sleeve; wherein, the pulling rope passes through the annular ring and extends outside the disc.

[0011] As a further description of the above technical solution: a chute is provided on the rotating plate along the length direction; a lockable locking head is slidably arranged in the chute; a roller is arranged at one end of the rotating plate away from the pivot shaft, and the roller is embedded in the arc-shaped groove; wherein, the pulling rope is connected to the locking head.

[0012] As a further description of the above technical solution: the elastic torsion structure includes a connecting head and a first torsion spring, wherein, the pivot shaft of the rotating plate extends through the disc to the back; the connecting head is arranged on the extending end of the pivot shaft; the first torsion spring is sleeved on the pivot shaft, and both ends of the first torsion spring are respectively connected to the back of the disc and the connecting head.

[0013] As a further description of the above technical solution: the magnetic drawing board is composed of a plurality of magnetic units densely arranged in a honeycomb shape, wherein, the magnetic unit includes a transparent cavity, a suspension liquid and magnetic powder, wherein, the suspension liquid and the magnetic powder are respectively filled in the transparent cavity; the magnetic powder floats in the suspension liquid.

[0014] As a further description of the above technical solution: the drawing structures all include a sliding strip, a fixed strip and a magnetic attraction head, wherein, the fixed strip is arranged on the side close to the pivot end along the length direction of the rotating plate; the sliding strip is slidably connected to the fixed strip, and one end of the sliding strip is connected to a moving part on the rotating plate; a plurality of magnetic attraction heads are respectively arranged at the bottoms of the fixed strip and the sliding strip.

[0015] As a further description of the above technical solution: The erasing structure includes a rotating frame, a magnetic strip, a second torsion spring, a support frame, a one-way bearing, a gear and a rack. Among them, the support frame is arranged at the end of the rotating plate; one end of the rotating frame is pivotally arranged on the elastic torsion structure, and a second torsion spring is arranged on the pivotal end. The other end of the rotating frame is pivotally arranged on the support frame through the one-way bearing and extends outward; the magnetic strip is arranged on one side of the rotating frame; the gear is rotatably arranged on the extended end of the pivot axis of the rotating frame in a damped manner; an arc-shaped rack is arranged on the back of the disc, and the gear meshes with the rack.

[0016] As a further description of the above technical solution: First scale lines and second scale lines are respectively arranged along the length direction on the fixed plate and the rotating plate.

[0017] As a further description of the above technical solution: A pull buckle is arranged on the side of the pull rope away from the movable end of the rotating plate, and equidistant scale marks are arranged on the surface of the pull rope.

[0018] The triangle three-side relationship demonstrator according to the present application has the following beneficial effects:

[0019] (1) Through the design of the lockable moving parts and the pull rope arranged on the fixed frame and the rotating frame, the lengths of the three sides of the triangle can be conveniently changed, realizing the flexible demonstration of triangles of different sizes, enabling students to more intuitively and comprehensively understand the performance of the triangle three-side relationship in various situations.

[0020] (2) By respectively arranging a drawing structure and a wiping structure on both sides of the magnetic drawing board, when the rotating frame rotates, due to the magnetic effect, a fan-shaped trajectory can be formed and shown, and when it rotates in reverse, the trajectory can be eliminated. This intuitive and dynamic demonstration method enables students to clearly observe the relationship between the size of the fan-shaped area and the angle change, reduces the teaching difficulty, makes it easier for students to understand and accept this abstract geometric knowledge, and further enhances the practicability and effectiveness of the demonstrator in geometric teaching.

[0021] (3) This teaching aid organically combines the demonstration of the triangle three-side relationship and the relationship between the fan-shaped area and the angle change. During the operation process, the changes and connections of these two mathematical concepts can be observed simultaneously, which helps to cultivate the comprehensive thinking ability and knowledge transfer ability of students, enabling students to better understand the internal logic and mutual relationship between mathematical knowledge.

[0022] Additional aspects and advantages of the present application will be given in part in the following description, become apparent in part from the following description, or be understood through the practice of the present application. BRIEF DESCRIPTION OF THE DRAWINGS

[0023] The above and / or additional aspects and advantages of the present application will become apparent and be readily understood from the following description of embodiments in conjunction with the accompanying drawings, where:

[0024] Figure 1 is a schematic structural diagram of a triangle trilateral relationship demonstrator according to an embodiment of the present application;

[0025] Figure 2 is a schematic structural diagram of a triangle trilateral relationship demonstrator according to another embodiment of the present application;

[0026] Figure 3 is a schematic enlarged structural diagram of part A according to an embodiment of the present application;

[0027] Figure 4 is a schematic diagram of an erasing structure according to an embodiment of the present application;

[0028] Figure 5 is a schematic structural diagram of a fixing plate according to an embodiment of the present application;

[0029] Figure 6 is a schematic structural diagram of a rotating plate according to an embodiment of the present application;

[0030] Figure 7 is a schematic structural diagram of a rotating plate according to another embodiment of the present application;

[0031] Figure 8 is a schematic internal structural diagram of a magnetic unit according to an embodiment of the present application;

[0032] Figure 9 is a schematic diagram of the working state of a triangle trilateral relationship demonstrator according to an embodiment of the present application.

[0033] As shown in the figure:

[0034] 100, disc; 101, arc groove; 102, angle line; 103, grip; 200, fixing plate; 201, slide rail; 202, sliding sleeve; 203, annular ring; 204, first scale line; 300, rotating plate; 301, elastic torsion structure; 3011, connecting head; 3012, first torsion spring; 302, chute; 303, locking head; 304, roller; 305, second scale line; 400, pull rope; 401, pull buckle; 500, magnetic drawing board; 510, magnetic unit; 511, transparent cavity; 512, suspension; 513, magnetic powder; 600, drawing structure; 610, sliding bar; 620, fixed bar; 630, magnetic attraction head; 700, erasing structure; 710, rotating frame; 720, magnetic attraction bar; 730, second torsion spring; 740, support frame; 750, one-way bearing; 760, gear; 770, rack. Detailed implementation manners

[0035] Embodiments of the present application will be described in detail below. Examples of the embodiments are shown in the accompanying drawings, where the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The embodiments described below with reference to the accompanying drawings are exemplary and are intended to explain the present application and should not be construed as limiting the present application.

[0036] The triangular trilateral relationship demonstrator according to the embodiments of the present application will be described below with reference to the accompanying drawings.

[0037] As Figure 1 and Figure 2 shown, the triangular trilateral relationship demonstrator according to the embodiments of the present application may include a disc 100, a fixing plate 200, a rotating plate 300, a pulling rope 400, a magnetic drawing board 500, a drawing structure 600, and an erasing structure 700.

[0038] Wherein, one end of the fixing plate 200 is fixedly arranged at the center of the disc 100. The rotating plate 300 is rotatably arranged at the center of the disc 100 and is reset by an elastic torsion structure 301 arranged on the pivot end. The fixing plate 200 and the rotating plate 300 are respectively provided with lockable moving members along the length direction. One end of the pulling rope 400 is arranged on the moving member of the rotating plate 300, and the other end extends out through the moving member of the fixing plate 200.

[0039] It should be noted that the distance between the center of the disc 100 and the moving member of the fixing plate 200 can be regarded as the first side length of the triangle, the distance between the center of the disc 100 and the moving member of the rotating plate 300 can be regarded as the second side length of the triangle, and the distance between the moving member of the fixing plate 200 and the moving member of the rotating plate 300 can be regarded as the third side length of the triangle.

[0040] When demonstrating the trilateral relationship of the triangle, the rotating plate 300 reaches the critical state under the reset action of the elastic torsion structure 301, that is, the state where the rotating plate 300 and the fixing plate 200 are in the same straight line. At this time, the sum of the first side length and the second side length is the same as the third side length. As the pulling rope 400 is pulled, the rotating plate 300 starts to rotate, the third side length starts to shorten, and a triangular structure is formed. At this time, the sum of the first side length and the second side length is greater than the third side length, thereby verifying the trilateral relationship of the triangle, that is, the sum of any two sides of a triangle is greater than the third side.

[0041] In addition, by adjusting the positions of the moving members on the fixing plate 200 and the rotating plate 300, the sizes of the first side length and the second side length can be changed, so as to show the trilateral relationships of triangles of different sizes to students, so as to more comprehensively understand the performance of the trilateral relationship of triangles in different situations, as well as knowledge such as the diversity of triangles, enriching the teaching content and demonstration effect.

[0042] It can be understood that the rotation of the rotating plate 300 can be achieved only by pulling the pulling rope 400. When the pulling rope 400 is no longer pulled, the rotating plate 300 is reset by the elastic torsion structure 301. Therefore, during the demonstration, no two-handed operation is required. The accurate position movement can be achieved only by the combined action of pulling the pulling rope 400 with one hand and the elastic torsion structure 301.

[0043] In an embodiment of the present application, an arc-shaped groove 101 is provided on the outer edge of the disc 100. The end of the rotating plate 300 is movably arranged in the arc-shaped groove 101, and an angle line 102 is provided on the outer edge of the arc-shaped groove 101. A bow-shaped grip 103 is provided on the back of the disc 100.

[0044] It should be noted that by setting the angle line 102, the angle of rotation of the rotating plate 300 can be more accurately identified, corresponding to the trajectory formed when the rotating plate 300 rotates, which can enable students to more intuitively and clearly understand the relationship between the rotation angle and the rotation area.

[0045] In addition, by setting the bow-shaped grip 103, the demonstration can be more convenient. Since the demonstration of the above-mentioned three-side relationship of the triangle only requires one hand to complete the operation, during the demonstration, the other hand of the demonstrator can hold the grip 103, which is more convenient for display and operation.

[0046] In an embodiment of the present application, as Figure 5 shown, a slide rail 201 is arranged on the fixing plate 200 along the length direction. A sliding sleeve 202 is slidably arranged on the slide rail 201 and locked by a locking bolt. An annular ring 203 is arranged on the sliding sleeve 202. Among them, the pulling rope 400 passes through the annular ring 203 and extends outside the disc 100.

[0047] To clearly illustrate the previous embodiment, in an embodiment of the present application, as Figure 6 shown, a chute 302 is provided on the rotating plate 300 along the length direction. A lockable locking head 303 is slidably arranged in the chute 302. A roller 304 is arranged at one end of the rotating plate 300 away from the pivot shaft, and the roller 304 is embedded in the arc-shaped groove 101. Among them, the pulling rope 400 is connected to the locking head 303.

[0048] In addition, a first scale line 204 and a second scale line 305 are respectively arranged on the fixing plate 200 and the rotating plate 300 along the length direction, so that when adjusting the moving parts of the fixing plate 200 and the rotating plate 300, the position adjustment can be made more accurate through the comparison of the first scale line 204 and the second scale line 305.

[0049] It should be noted that when adjusting the positions of the moving parts (i.e., the annular ring 203 and the locking head 303) of the fixed plate 200 and the rotating plate 300, the locking bolt can be loosened, and the sliding sleeve 202 is moved along the slide rail 201 to the required position and then the locking bolt is tightened to change the distance between the annular ring 203 and the center of the disc 100, that is, to change the dimension of the first side length of the triangle.

[0050] Then loosen the locking head 303 and move it along the chute 302 to the required position and lock it again to change the distance between the locking head 303 and the center of the disc 100, that is, to change the dimension of the second side length of the triangle.

[0051] In an embodiment of the present application, as Figure 3 shown, the elastic torsion structure 301 includes a connecting head 3011 and a first torsion spring 3012.

[0052] Among them, the pivot shaft of the rotating plate 300 extends through the disc 100 to the back surface, the connecting head 3011 is arranged at the extending end of the pivot shaft, the first torsion spring 3012 is sleeved on the pivot shaft, and both ends of the first torsion spring 3012 are respectively connected to the back surface of the disc 100 and the connecting head 3011.

[0053] It should be noted that when pulling the pull rope 400, the rotating plate 300 drives the pivot shaft to rotate, so that the torsion is elastic. Then when canceling the pulling of the pull rope 400, the first torsion spring 3012 acts as a force to drive the pivot shaft to reverse, thereby realizing the reset of the rotating plate 300.

[0054] In an embodiment of the present application, as Figure 1 and Figure 2 shown, a pull buckle 401 is arranged on the side of the pull rope 400 away from the moving end of the rotating plate 300, and scale marks are arranged at equal intervals on the surface of the pull rope 400.

[0055] It should be noted that the pull buckle 401 is an elastic clip sleeved on the pull rope 400. When it is necessary to limit the dimensions of the three sides of the triangle, the relevant demonstrator can press the elastic clip and push it until it abuts against the annular ring 203. At this time, due to the reset function of the elastic torsion structure 301 and the abutting function of the elastic clip, the dimensions of the three sides of the triangle can be fixed, so that when the demonstrator performs other operations, the dimensions of the three sides of the triangle will not change.

[0056] In addition, when pulling the pull rope 400, the length of the third side can be judged by the coloring mark on the pull rope 400 between the annular sleeve and the locking head 303, making the display more intuitive.

[0057] The magnetic drawing board 500 is embedded in the disc 100 along the rotation path of the rotating plate 300. The drawing structure 600 and the erasing structure 700 are respectively located on both sides of the magnetic drawing board 500. Among them, the drawing structure 600 is arranged on the rotating plate 300, and the erasing structure 700 is arranged on the elastic torsion structure 301 to magnetically attract the magnetic powder 513 in the magnetic drawing board 500 according to the rotation direction of the rotating plate 300, so as to display or eliminate the track.

[0058] It should be noted that, as Figure 9 shown, when pulling the pulling rope 400, the rotating plate 300 can be rotated counterclockwise, and then the drawing structure 600 follows the rotation, so that the magnetic attracting end on the drawing structure 600 magnetically attracts the magnetic powder 513, so that the magnetic drawing board 500 can display the movement track of the drawing structure 600. When canceling the pulling of the pulling rope 400, the reset function of the reset structure drives the erasing structure 700, so that the magnetic attracting end on the erasing structure 700 magnetically attracts the magnetic powder 513, so that the track on the magnetic drawing board 500 is cleared.

[0059] To clearly illustrate the previous embodiment, in an embodiment of the present application, as Figure 8 shown, the magnetic drawing board 500 is composed of a plurality of magnetic units 510 densely arranged in a honeycomb shape.

[0060] Among them, the magnetic unit 510 includes a transparent cavity 511, a suspension 512 and magnetic powder 513. The suspension 512 and the magnetic powder 513 are respectively filled in the transparent cavity 511, and the magnetic powder 513 floats in the suspension 512.

[0061] It can be understood that, as Figure 8 shown, when the magnetic attracting end on the drawing structure 600 magnetically attracts the magnetic powder 513, the magnetic powder 513 moves to the front of the magnetic drawing board 500 under the action of the magnetic force, so as to display the movement track of the drawing structure 600. When the magnetic attracting end on the erasing structure 700 magnetically attracts the magnetic powder 513, the magnetic powder 513 moves to the back of the magnetic drawing board 500 under the action of the magnetic force, and then the movement track on the front of the magnetic drawing board is eliminated.

[0062] To clearly illustrate the previous embodiment, in an embodiment of the present application, as Figure 7 shown, the drawing structure 600 all includes a sliding strip 610, a fixed strip 620 and a magnetic attracting head 630.

[0063] Among them, the fixed strip 620 is arranged on the side close to the pivot end along the length direction of the rotating plate 300. The sliding strip 610 is slidably connected with the fixed strip 620, and one end of the sliding strip 610 is connected with the moving part (i.e., the locking head 303) on the rotating plate 300. A plurality of magnetic attracting heads 630 are respectively arranged at the bottoms of the fixed strip 620 and the sliding strip 610.

[0064] It should be noted that when adjusting the position of the moving member (i.e., the locking head 303) of the rotating plate 300, the sliding bar 610 slides along the fixed bar 620, changing the length of the drawing structure 600 accordingly. When the rotating plate 300 rotates around the center of the disc 100, the magnetic head 630 adsorbs the magnetic powder 513 on the magnetic drawing board 500 to form a trajectory. The change in the length of the drawing structure 600 can accurately display the movement trajectory of the distance from the center of the second-side disc 100 to the locking head 303.

[0065] To clearly illustrate the previous embodiment, in one embodiment of the present application, as Figure 3 and Figure 4 shown, the erasing structure 700 includes a rotating frame 710, a magnetic attraction strip 720, a second torsion spring 730, a support frame 740, a one-way bearing 750, a gear 760, and a rack 770.

[0066] Among them, the support frame 740 is arranged at the end of the rotating plate 300 (i.e., at the roller 304). One end of the rotating frame 710 is pivotally arranged on the elastic torsion structure 301 (specifically, the connecting head 3011), and a second torsion spring 730 is arranged on the pivotal end. The other end of the rotating frame 710 is pivotally arranged on the support frame 740 through a one-way bearing 750 (such as a ratchet structure) and extends outward. The magnetic attraction strip 720 is arranged on one side of the rotating frame 710. The gear 760 is rotatably arranged with damping at the extended end of the pivot axis of the rotating frame 710. An arc-shaped rack 770 is arranged on the back of the disc 100, and the gear 760 meshes with the rack 770.

[0067] Specifically, when pulling the pull rope 400, the pull rope 400 pulls the rotating plate 300 to rotate, then the connecting head 3011 in the elastic torsion structure 301 follows the rotation, causing the first torsion spring 3012 to be torsionally stressed. At the same time, the gear 760 meshes and rotates on the rack 770. Due to the combined action of the limiting and locking of the one-way bearing 750 and the damping rotation of the gear 760, the rotating frame 710 can no longer rotate along the rotation axis of the gear 760, while the gear 760 continues to rotate on the rack 770. At this time, the magnetic attraction strip 720 moves away from the magnetic drawing board 500 and does not generate a magnetic attraction effect with the magnetic powder 513 in the magnetic drawing board 500. Thus, during the pulling process of the pull rope 400, the magnetic head 630 in the drawing structure 600 magnetically attracts the magnetic attraction in the transparent cavity 511, thereby displaying the movement trajectory.

[0068] When the pulling action on the pull rope 400 is cancelled, due to the reset action of the elastic torsion structure 301, the rotating plate 300 reverses, and the erasing structure 700 follows the joint 3011 to reverse. During the reverse rotation, since the limit of the one-way bearing 750 is cancelled, the rotating frame 710 can rotate following the gear 760. At the same time, the second torsion spring 730 starts to be stressed until the side of the magnetic attraction strip 720 on the rotating frame 710 rotates to be close to the back of the magnetic drawing board 500. At this time, the second torsion spring 730 is stressed to the maximum, and the stress of the second torsion spring 730 is greater than or equal to the damping effect of the gear 760, so the rotating frame 710 stops rotating, while the gear 760 continues to mesh with the rack 770 and rotate, driving the rotating frame 710 to reset. During the reset process, the magnetic attraction strip 720 magnetically attracts the magnetic powder 513, making the magnetic powder 513 close to the back of the magnetic drawing board 500, thereby realizing the elimination of the previous movement track.

[0069] It can be understood that when the magnetic attraction head 630 draws a track on the magnetic panel, the erasing structure 700 can rotate the magnetic attraction strip 720 to the side away from the magnetic panel, thus avoiding the influence of the magnetic attraction strip 720 on the movement track drawn by the magnetic attraction head 630.

[0070] As a possible situation, the magnetic attraction force of the magnetic attraction strip 720 is greater than that of the magnetic attraction head 630 to ensure that when the erasing structure 700 erases the track, the magnetic powder 513 can be magnetically attracted to the back of the magnetic drawing board 500.

[0071] As another possible situation, the magnetic attraction strip 720 on the rotating frame 710 is arranged offset from the magnetic attraction head 630 on the rotating plate 300. When the magnetic attraction strip 720 rotates to be close to the back of the magnetic drawing board 500, the position of the magnetic attraction strip 720 is closer to the pulling direction of the pull rope 400 than that of the magnetic attraction head 630. Thus, when the magnetic attraction strip 720 erases the track, after the magnetic attraction head 630 passes, the magnetic attraction strip 720 will magnetically attract the magnetic powder 513 to ensure the erasing effect.

[0072] In another embodiment of the present application, the erasing structure 700 includes a connecting rod (not shown) and a magnetic attraction strip 720. The connecting rod is arranged on the elastic torsion structure 301 (specifically, it can be on the joint 3011), the magnetic attraction strip 720 is arranged on the connecting rod and fits against the back of the magnetic drawing board 500, and the magnetic attraction strip 720 on the connecting rod is arranged offset from the magnetic attraction head 630 on the rotating plate 300. The position of the magnetic attraction strip 720 is closer to the pulling direction of the pull rope 400 than that of the magnetic attraction head 630. Thus, when the magnetic attraction strip 720 erases the track, after the magnetic attraction head 630 passes, the magnetic attraction strip 720 will magnetically attract the magnetic powder 513 to ensure that the magnetic attraction head 630 does not affect the magnetic attraction effect of the magnetic attraction strip 720 when erasing the track.

[0073] It should be noted that the erasing structure 700 formed by setting the magnetic strip 720 through the connecting rod is simpler and more suitable for low-cost teaching aids.

[0074] In summary, for the triangle three-side relationship demonstrator according to the embodiments of the present application, through the design of setting lockable moving parts and the pulling rope 400 on the fixed plate 200 and the rotating plate 300, the lengths of the three sides of the triangle can be conveniently changed, realizing the flexible demonstration of triangles of different sizes, enabling students to more intuitively and comprehensively understand the performance of the triangle three-side relationship in various situations; by respectively arranging the drawing structure 600 and the wiping structure 700 on both sides of the magnetic drawing board 500, when the rotating plate 300 rotates, due to the magnetic effect, a fan-shaped trajectory can be formed and displayed, and when it rotates in reverse, the trajectory can be eliminated. This intuitive and dynamic demonstration method enables students to clearly observe the relationship between the size of the fan-shaped area and the angle change, reduces the teaching difficulty, makes it easier for students to understand and accept this abstract geometric knowledge, and further enhances the practicality and effectiveness of the demonstrator in geometric teaching; this teaching aid organically combines the demonstration of the triangle three-side relationship and the relationship between the fan-shaped area and the angle change. During the operation process, the changes and connections of these two mathematical concepts can be observed simultaneously, which helps to cultivate the comprehensive thinking ability and knowledge transfer ability of students, enabling students to better understand the internal logic and mutual relationship between mathematical knowledge.

[0075] In the description of this specification, the terms "first" and "second" are only used for descriptive purposes and cannot be understood as indicating or implying relative importance or implicitly specifying the quantity of the indicated technical features. Thus, the features defined with "first" and "second" may explicitly or implicitly include at least one of these features. In the description of the present application, the meaning of "a plurality" is at least two, such as two, three, etc., unless otherwise specifically and clearly defined.

[0076] In the description of this specification, the description with reference to terms such as "one embodiment", "some embodiments", "example", "specific example", or "some examples" means that the specific features, structures, materials, or characteristics described in connection with the embodiment or example are included in at least one embodiment or example of the present application. In this specification, the schematic representations of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials, or characteristics described can be combined in a suitable manner in any one or more embodiments or examples. In addition, without contradiction, those skilled in the art can combine and combine the different embodiments or examples described in this specification and the features of different embodiments or examples.

[0077] Although the embodiments of the present application have been shown and described above, it can be understood that the above embodiments are exemplary and should not be construed as limiting the present application. Those of ordinary skill in the art can make changes, modifications, substitutions, and variations to the above embodiments within the scope of the present application.

Claims

1. A triangular three-side relationship demonstrator, characterized in that, Comprising: A disc (100), a fixing plate (200), a rotating plate (300), a pulling rope (400), a magnetic drawing board (500), a drawing structure (600) and an erasing structure (700), wherein, One end of the fixing plate (200) is fixedly arranged at the center of the disc (100), the rotating plate (300) is rotatably arranged at the center of the disc (100) and is reset by an elastic torsion structure (301) arranged at the pivot end, and movable parts that can be locked are respectively arranged on the fixing plate (200) and the rotating plate (300) along the length direction; One end of the pulling rope (400) is arranged on the movable part of the rotating plate (300), and the other end extends outwards through the movable part of the fixing plate (200); The magnetic drawing board (500) is embedded on the disc (100) along the rotation path of the rotating plate (300); The drawing structure (600) and the erasing structure (700) are respectively located on both sides of the magnetic drawing board (500), wherein, the drawing structure (600) is arranged on the rotating plate (300), and the erasing structure (700) is arranged on the elastic torsion structure (301) to magnetically attract the magnetic powder (513) in the magnetic drawing board (500) respectively according to the rotation direction of the rotating plate (300), so as to display or eliminate the track.

2. The triangle three-side relationship demonstrator according to claim 1, wherein An arc-shaped groove (101) is formed on the outer edge of the disc (100), the end of the rotating plate (300) is movably arranged in the arc-shaped groove (101), and an angle line (102) is arranged on the outer edge of the arc-shaped groove (101); A bow-shaped handle (103) is arranged on the back of the disc (100).

3. The triangular three-side relationship demonstrator according to claim 1, characterized in that, A slide rail (201) is arranged on the fixing plate (200) along the length direction; A sliding sleeve (202) is slidably arranged on the slide rail (201) and is locked by a locking bolt; An annular ring (203) is arranged on the sliding sleeve (202); Wherein, the pulling rope (400) passes through the annular ring (203) and extends out of the disc (100).

4. The triangle three-side relationship demonstrator according to claim 2, characterized in that, A chute (302) is formed on the rotating plate (300) along the length direction; A lock head (303) that can be locked is slidably arranged in the chute (302); A roller (304) is arranged at one end of the rotating plate (300) far from the pivot shaft, and the roller (304) is embedded in the arc-shaped groove (101); Wherein, the pulling rope (400) is connected to the lock head (303).

5. The triangle three-side relationship demonstrator according to claim 1, characterized in that, The elastic torsion structure (301) includes a connecting head (3011) and a first torsion spring (3012), wherein, The pivot shaft of the rotating plate (300) passes through the disc (100) and extends towards the back; The connecting head (3011) is arranged at the extending end of the pivot shaft; The first torsion spring (3012) is sleeved on the pivot shaft, and both ends of the first torsion spring (3012) are respectively connected to the back of the disc (100) and the connecting head (3011).

6. The triangle three-side relationship demonstrator according to claim 1, characterized in that The magnetic drawing board (500) is composed of a plurality of magnetism units (510) densely arranged in a honeycomb shape. Among them, The magnetism unit (510) includes a transparent cavity (511), a suspension (512) and magnetic powder (513). Among them, The suspension (512) and the magnetic powder (513) are respectively filled in the transparent cavity (511); The magnetic powder floats in the suspension.

7. The triangular three-side relationship demonstrator according to claim 1, characterized in that The drawing structure (600) includes a sliding bar (610), a fixed bar (620) and a magnetic attraction head (630). Among them, The fixed bar (620) is arranged on one side close to the pivot end along the length direction of the rotating plate (300); The sliding bar (610) is slidably connected to the fixed bar (620), and one end of the sliding bar (610) is connected to the moving part on the rotating plate (300); A plurality of magnetic attraction heads (640) are respectively arranged at the bottoms of the fixed bar (620) and the sliding bar (610).

8. The triangle three-side relationship demonstrator according to claim 2, characterized in that The erasing structure (700) includes a rotating frame (710), a magnetic attraction strip (720), a second torsion spring (730), a support frame (740), a one-way bearing (750), a gear (760) and a rack (770). Among them, The support frame (740) is arranged at the end of the rotating plate (300); One end of the rotating frame (710) is provided with a second torsion spring (730) and is pivotally arranged on the elastic torsion structure (301). The other end of the rotating frame (710) is arranged on the support frame (740) through the one-way bearing (750) and extends outwards; The magnetic attraction strip (720) is arranged on one side of the rotating frame (710); The gear (760) is rotatably arranged on the extended end of the pivot axis of the rotating frame (710) in a damped manner; An arc-shaped rack (770) is arranged on the back of the disc (100), and the gear (760) meshes with the rack (770).

9. The triangle three-side relationship demonstrator according to claim 1, characterized in that, First scale lines (204) and second scale lines (305) are respectively arranged along the length direction on the fixed plate (200) and the rotating plate (300).

10. The triangle three-side relationship demonstrator according to claim 1, characterized in that, A pull buckle (401) is arranged on one side of the pull rope (400) far from the moving end of the rotating plate (300), and scale marks at equal intervals are arranged on the surface of the pull rope (400).