A demonstrator for teaching trigonometric functions

Abstract

The utility model relates to a kind of demonstrator for trigonometric function teaching, including support plate and demonstration panel, demonstration panel is fixedly connected on support plate to form installation cavity between two, rotationally set on demonstration panel first drive shaft with one end into installation cavity, first drive shaft one end is connected with transmission swing arm, the other end is connected with the angle indicating rod parallel with transmission swing arm, support plate is provided with the transmission slide that can slide along X direction, first sliding slot is opened in transmission slide, first transmission rod is formed in transmission swing arm and keeps in first sliding slot and the axis is aligned with the endpoint of angle indicating rod, second sliding slot is opened in demonstration panel, second transmission rod is fixedly connected with the second transmission rod passing through second sliding slot, and scale is connected in second transmission rod end part.This trigonometric function teaching demonstrator can conveniently and continuously demonstrate the change relation of variable and dependent variable of trigonometric function, and it is beneficial for students to understand and master trigonometric function.

Description

Technical Field

[0001] This utility model relates to the field of teaching aids technology, and in particular to a demonstrator for teaching trigonometric functions. Background Technology

[0002] Trigonometric functions are among the basic elementary functions. They are functions with angles as independent variables and the coordinates of the intersection point of the terminal side of any angle with the unit circle or their ratio as dependent variables. When teaching trigonometric functions, teachers need to demonstrate the relationship between the variables and the dependent variable. Traditionally, teachers use a ruler and a protractor to draw diagrams for demonstration, which is cumbersome, inefficient, and not conducive to continuously demonstrating the relationship between the variables and the dependent variable. This makes it difficult for students to intuitively understand and master the relevant knowledge of trigonometric functions.

[0003] To address the aforementioned problems, this utility model provides improvements. Utility Model Content

[0004] This invention proposes a demonstrator for teaching trigonometric functions, which solves the aforementioned problems existing in the use of the prior art.

[0005] The technical solution of this utility model is implemented as follows:

[0006] A trigonometric function teaching demonstrator includes a support plate and a demonstration panel. The demonstration panel is fixedly connected to the support plate, forming a mounting cavity between them. A first drive shaft is rotatably mounted on the demonstration panel, with one end extending into the mounting cavity. A transmission swing arm is fixedly connected to one end of the first drive shaft extending into the mounting cavity, and an angle indicator rod parallel to the transmission swing arm is fixedly connected to the other end. A transmission slide rod that can slide along the X-direction is provided on the support plate. A first sliding groove extending along the Y-direction is formed on the transmission slide rod. A first transmission rod that matches and is held within the first sliding groove is formed on the transmission swing arm. The axis of the first transmission rod is aligned with the end point of the angle indicator rod. A second sliding groove extending along the X-direction is formed on the demonstration panel. A second transmission rod passing through the second sliding groove is fixedly connected to the transmission slide rod, and a scale parallel to the Y-direction is fixedly connected to the end of the second transmission rod.

[0007] Preferably, the support plate is fixedly connected to two guide rails located on one side of each end of the transmission slide rod and parallel to the X direction, and the end of the transmission slide rod is rotatably connected to a guide wheel that abuts against the guide rail.

[0008] Preferably, two second sliding grooves are symmetrically arranged on the demonstration panel along the axis of the first drive shaft, and two second transmission rods are symmetrically arranged on the transmission slide rod along the axis of the first drive shaft.

[0009] Preferably, the mounting cavity is rotatably provided with a second drive shaft that extends through the support plate and the demonstration panel at both ends. A first synchronous pulley and a second synchronous pulley are fixedly connected to the first drive shaft and the second drive shaft, respectively. The first synchronous pulley and the second synchronous pulley are connected by a synchronous belt drive.

[0010] Preferably, a rotating handle is connected to the end of the second drive shaft.

[0011] Preferably, each end of the second drive shaft has a multi-faceted prism-shaped plug, and the rotating handle has a plug hole that matches the plug. The plug is inserted into the plug hole to connect the rotating handle to the second drive shaft.

[0012] Preferably, a brake spring is fitted on the second drive shaft between the support plate and the second synchronous pulley.

[0013] In summary, the beneficial effects of this utility model are as follows: by driving the first drive shaft to rotate and causing the angle indicator rod and scale to move, the changing relationship between the variables and dependent variables of the trigonometric function can be demonstrated. The operation is very convenient and can be performed continuously. Students can intuitively observe the changing relationship between the variables and dependent variables of the trigonometric function, which is conducive to students' understanding and mastery of trigonometric function-related knowledge. Attached Figure Description

[0014] To more clearly illustrate the technical solutions in the embodiments of this utility model or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this utility model. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0015] Figure 1 This is a schematic diagram of the structure of this utility model;

[0016] Figure 2 This is a cross-sectional schematic diagram of the present invention;

[0017] Figure 3 for Figure 2 Enlarged view of point A in the middle;

[0018] Figure 4 This is an exploded view of the present invention;

[0019] Figure 5 This is a schematic diagram of the structure of this utility model after the demonstration panel and back cover have been removed.

[0020] In the diagram: 1. Support plate; 2. Demonstration panel; 21. Second sliding groove; 3. Mounting cavity; 4. First drive shaft; 5. Transmission swing arm; 51. First transmission rod; 6. Angle indicator rod; 7. Transmission slide rod; 71. First sliding groove; 8. Second transmission rod; 9. Scale; 10. Guide rail; 11. Guide wheel; 12. Second drive shaft; 121. Plug-in pin; 13. First synchronous pulley; 15. Second synchronous pulley; 16. Synchronous belt; 17. Rotating handle; 171. Plug-in hole; 18. Brake spring. Detailed Implementation

[0021] The following will refer to the appendix in the embodiments of this utility model. Figure 1-5 The technical solutions in the embodiments of this utility model are clearly and completely described herein. Obviously, the described embodiments are only some embodiments of this utility model, and not all embodiments. Based on the embodiments of this utility model, all other embodiments obtained by those skilled in the art without creative effort are within the protection scope of this utility model.

[0022] As shown in the figure, a trigonometric function teaching demonstrator includes a support plate 1 and a demonstration panel 2. The demonstration panel 2 is fixedly connected to the support plate 1, forming a mounting cavity 3 between them. A first drive shaft 4, one end of which extends into the mounting cavity 3, is rotatably mounted on the demonstration panel 2. A transmission swing arm 5 is fixedly connected to one end of the first drive shaft 4 extending into the mounting cavity 3, and an angle indicator rod 6 parallel to the transmission swing arm 5 is fixedly connected to the other end. A transmission slide rod 7, which can slide along the X-direction, is provided on the support plate 1. A first sliding groove 71 extending along the Y-direction is formed on the transmission slide rod 7. A first transmission rod 51, which matches and is held within the first sliding groove 71, is formed on the transmission swing arm 5. The axis of the first transmission rod 51 is aligned with the end point of the angle indicator rod 6. A second sliding groove 21 extending along the X-direction is formed on the demonstration panel 2. A second transmission rod 8, which passes through the second sliding groove 21, is fixedly connected to the transmission slide rod 7. A scale 9 parallel to the Y-direction is fixedly connected to the end of the second transmission rod 8.

[0023] Specifically, the transmission slide rod 7 is slidably mounted on the support plate 1: two guide rails 10 are fixedly connected to the support plate 1, located on one side of each end of the transmission slide rod 7 and parallel to the X direction, and the end of the transmission slide rod 7 is rotatably connected to a guide wheel 11 that abuts against the guide rail 10.

[0024] Specifically, a second drive shaft 12 is rotatably disposed inside the mounting cavity 3, with its two ends respectively extending out of the support plate 1 and the demonstration panel 2. A first synchronous pulley 13 and a second synchronous pulley 15 are fixedly connected to the first drive shaft 4 and the second drive shaft 12, respectively. The first synchronous pulley 13 and the second synchronous pulley 15 are connected by a synchronous belt 16.

[0025] Specifically, the angle scale is set on the demonstration panel 2 along the movement trajectory of the end point of the angle indicator rod 6, the X-axis scale is set on the demonstration panel 2 on one side of the second sliding groove 21, the Y-axis scale is set on the scale ruler 9, and the end of the scale has an indicator pointing to the X-axis scale.

[0026] In the above structure, when demonstrating trigonometric functions, the support plate 1 is placed on the table so that the demonstration panel 2 is in an upright state. The second drive shaft 12 is rotated. The second drive shaft 12 drives the first drive shaft 4 to rotate through the cooperation of the second synchronous wheel 15, the synchronous belt 16 and the first synchronous wheel 13. The first drive shaft 4 drives the transmission swing arm 5 and the angle indicator rod 6 to rotate synchronously along the axis of the first drive shaft 4. When the transmission swing arm 5 rotates, it drives the first transmission rod 51 to slide in the first sliding groove 71. Through the cooperation of the first transmission rod 51 and the first sliding groove 71, it drives the transmission slide rod 7 to slide along the X direction on the track. The cooperation of the guide wheel 11 and the guide rail 10 ensures the stability and smoothness of the transmission slide rod 7 when sliding. When the transmission slide rod 7 slides, it drives the second transmission rod 8 to slide along the X direction in the second sliding groove 21. The second transmission rod 8 then drives the scale 9 to slide along the X direction in front of the demonstration panel 2. In this way, as the angle indicator rod 6 rotates circumferentially, the first transmission rod 51 slides repeatedly in the first sliding groove 71, and the second transmission rod 51 slides repeatedly in the first sliding groove 71. 8. The device slides repeatedly within the second sliding groove 21, causing the scale 9 to move repeatedly in the X direction. During this movement, the angle indicator rod 6, in conjunction with the angle scale, demonstrates the angle variables of the trigonometric function. Since the axis of the first transmission rod 51 is aligned with the endpoint of the angle indicator rod 6, the Y-axis scale on the scale 9 pointed to by the end of the angle indicator rod 6 represents the change of the opposite side of the angle variable, and the X-axis scale pointed to by the indicator on the end of the scale 9 represents the change of the adjacent side of the angle variable. This demonstrates the change of the opposite and adjacent sides of the angle variable with the angle variable. By reading the corresponding angle, Y-axis scale, and X-axis scale, the relationship between the variables and dependent variables of the trigonometric function can be explored. It can be seen that this trigonometric function teaching demonstrator can demonstrate the relationship between the variables and dependent variables of the trigonometric function by driving the first drive shaft 4 to rotate. It is very convenient to operate and can be demonstrated continuously. Students can intuitively observe the relationship between the variables and dependent variables of the trigonometric function, which is conducive to students' understanding and mastery of trigonometric function-related knowledge.

[0027] In addition, two second sliding grooves 21 are symmetrically arranged on the demonstration panel 2 along the axis of the first drive shaft 4, and two second transmission rods 8 are symmetrically arranged on the transmission slide rod 7 along the axis of the first drive shaft 4, which ensures the stability of the scale 9 when it moves with the transmission slide rod 7, and thus ensures the accuracy of the demonstration.

[0028] Additionally, a rotating handle 17 is connected to the end of the second drive shaft 12. Rotating the handle 17 makes it easier to rotate the second drive shaft 12 and drive the first drive shaft 4 to demonstrate trigonometric functions.

[0029] Additionally, each end of the second drive shaft 12 has a polygonal prism-shaped insertion post 121. The rotating handle 17 has an insertion hole 171 that matches the insertion post 121. The insertion post 121 is inserted into the insertion hole 171 to connect the rotating handle 17 to the second drive shaft 12. The rotating handle 17 can be easily assembled and disassembled through the cooperation of the insertion post 121 and the insertion hole 171. Alternatively, one of the insertion posts 121 can be inserted into the insertion hole 171 to change the connection position of the rotating handle 17. When the rotating handle 17 is connected to the back of the support plate 1, it is convenient for the teacher to operate continuously without obstructing the demonstration panel 2, and it is convenient for students to observe. When the rotating handle 17 is connected to the front of the demonstration panel 2, it is convenient for students to operate independently and observe while demonstrating, thereby improving students' learning interest.

[0030] Additionally, a brake spring 18 is fitted on the second drive shaft 12 between the support plate 1 and the second synchronous wheel 15. The two ends of the brake spring 18 are respectively pressed against the support plate 1 and the second synchronous wheel 15, applying a certain resistance to the rotation of the second synchronous wheel 15, which in turn applies a certain resistance to the rotation of the second drive shaft 12 and the first drive shaft 4. This ensures that the first drive shaft 4 remains stationary when the demonstration stops, while the angle indicator rod 6 and the scale 9 remain stationary, making it convenient for teachers and students to observe and record the scale values.

[0031] The above description is only a preferred embodiment of the present utility model and is not intended to limit the present utility model. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present utility model should be included within the protection scope of the present utility model.

Claims

1. A demonstrator for teaching trigonometric functions, characterized in that: The system includes a support plate (1) and a demonstration panel (2). The demonstration panel (2) is fixedly connected to the support plate (1) to form a mounting cavity (3) between them. A first drive shaft (4) is rotatably mounted on the demonstration panel (2), with one end extending into the mounting cavity (3). A transmission swing arm (5) is fixedly connected to one end of the first drive shaft (4) extending into the mounting cavity (3), and an angle indicator rod (6) parallel to the transmission swing arm (5) is fixedly connected to the other end. A transmission slide rod (7) that can slide along the X direction is provided on the support plate (1). The transmission slide rod (7) has an opening... A first sliding groove (71) extending along the Y direction is provided. A first transmission rod (51) matching the first sliding groove (71) and held within the first sliding groove (71) is formed on the transmission swing arm (5). The axis of the first transmission rod (51) is aligned with the end point of the angle indicator rod (6). A second sliding groove (21) extending along the X direction is provided on the demonstration panel (2). A second transmission rod (8) passing through the second sliding groove (21) is fixedly connected to the transmission slide rod (7). A scale (9) parallel to the Y direction is fixedly connected to the end of the second transmission rod (8).

2. The trigonometric function teaching demonstrator according to claim 1, characterized in that: Two guide rails (10) are fixedly connected to the support plate (1), which are located on one side of the transmission slide rod (7) and parallel to the X direction. The end of the transmission slide rod (7) is rotatably connected to a guide wheel (11) that abuts against the guide rail (10).

3. The trigonometric function teaching demonstrator according to claim 2, characterized in that: The second sliding groove (21) is symmetrically arranged in two places on the demonstration panel (2) along the axis of the first drive shaft (4), and the second transmission rod (8) is symmetrically arranged in two places on the transmission slide rod (7) along the axis of the first drive shaft (4).

4. The trigonometric function teaching demonstrator according to claim 1, characterized in that: The mounting cavity (3) is rotatably provided with a second drive shaft (12) that extends through the support plate (1) and the demonstration panel (2) at both ends. A first synchronous pulley (13) and a second synchronous pulley (15) are fixedly connected to the first drive shaft (4) and the second drive shaft (12), respectively. The first synchronous pulley (13) and the second synchronous pulley (15) are connected by a synchronous belt (16).

5. The trigonometric function teaching demonstrator according to claim 4, characterized in that: The end of the second drive shaft (12) is connected to a rotating handle (17).

6. The trigonometric function teaching demonstrator according to claim 5, characterized in that: The second drive shaft (12) has a multi-faceted prism-shaped plug (121) at each end. The rotating handle (17) has a plug hole (171) that matches the plug (121). The plug (121) is inserted into the plug hole (171) to connect the rotating handle (17) and the second drive shaft (12).

7. The trigonometric function teaching demonstrator according to claim 6, characterized in that: A brake spring (18) is fitted on the second drive shaft (12) between the support plate (1) and the second synchronous pulley (15).

Images