Pythagorean theorem demonstration teaching aid
By designing adjustable Pythagorean theorem demonstration teaching aids, the existing teaching methods are solved the boring problem when proving the Pythagorean theorem, and students can learn and understand Pythagorean theorem more intuitively, enhancing the fun and teaching effect of learning.
Patent Information
- Application Number
- CN202420929464.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2024-04-30
- Publication Date
- 2025-03-21
- Estimated Expiration
- 2034-04-30
AI Technical Summary
The existing teaching methods are boring when proving the Pythagorean theorem, which makes it difficult for students to understand and remember intuitively, and they cannot adjust the side length and angle of the triangle at will, limiting students' extended learning.
A Pythagorean theorem demonstration teaching aid was designed, including an adjustable first and second right-angle plates, which adjust the length of the right-angle edges through a rotary member connection, a sliding plate and a sliding groove structure, a tape measure box and a tape measure achieve a dynamic display of the chord length, a fixed length of the limit column and a positioning hole, and a ruler and a fixed suction cup for measurement and installation.
This teaching aid allows students to intuitively observe and adjust the side length and angle of the triangle, enhance the fun and depth of learning, improve the teaching effect, and improve the practicality and convenience of teaching aids.
Smart Images
Figure CN222653521U_ABST
Abstract
Description
Technical Field
[0001] The utility model belongs to the technical field of teaching aids, and in particular relates to a Pythagorean theorem demonstration teaching aid. Background Art
[0002] The Pythagorean theorem is a very important theorem in geometry, which states that the sum of the squares of the two right-angled sides of a right triangle is equal to the square of the hypotenuse. In ancient China, a right triangle was called a Pythagorean triangle, and the smaller of the right-angled sides was called the hook, the other longer right-angled side was called the leg, and the hypotenuse was called the chord, so this theorem was called the Pythagorean theorem, and some people called it the Shang Gao theorem. It explains a fixed relationship between the three sides of a right triangle: expressed in mathematical formula as a 2 +b 2 =c 2 , where c represents the length of the hypotenuse, and a and b represent the lengths of the two right-angled sides. It is one of the important mathematical theorems discovered and proved by humans in the early days, and one of the most important tools for solving geometric problems using algebraic thinking.
[0003] In the actual learning practice, ordinary proof methods are rather boring. In teaching, explanations are usually made by comparing with books and corresponding graphics, which is not easy for students to understand and remember, and it is difficult to achieve intuitive and profound results. The teaching effect is not ideal, and the side lengths and angles of the triangle cannot be changed at will, which makes it impossible for students to expand their learning. Utility Model Content
[0004] The technical problem to be solved by the utility model is to overcome the existing defects and provide a Pythagorean theorem demonstration teaching aid to solve the problem that in the actual learning practice process proposed in the above background technology, ordinary proof methods are relatively boring, and the teaching is generally explained by comparing with books and corresponding graphics, which is not convenient for students to understand and remember, and it is difficult to achieve an intuitive and profound effect. The teaching effect is not ideal, and the side length and angle of the triangle cannot be changed at will, which makes it impossible for students to expand their learning.
[0005] To achieve the above-mentioned purpose, the utility model provides the following technical solutions: a Pythagorean theorem demonstration teaching aid, comprising a first right-angle plate, a second right-angle plate is arranged at one end of the first right-angle plate, a slide groove is arranged inside the first right-angle plate and the second right-angle plate, a sliding plate is slidably connected inside the slide groove, a positioning hole is arranged on one side of the sliding plate, a connecting ear plate is fixedly connected to one end of the sliding plate, a tape measure box is arranged on one side of the connecting ear plate, a reel is fixedly connected inside the tape measure box, a fixed plate is fixedly connected to the top of the connecting ear plate, an automatic winding roller is rotatably connected inside the fixed plate, a receiving block is fixedly connected to one end of the top of the first right-angle plate and the second right-angle plate, and a ruler is transmission-connected to the outer side of the automatic winding roller.
[0006] Preferably, the first right-angle plate and the second right-angle plate are rotatably connected via a rotating member.
[0007] Preferably, a plurality of positioning holes are provided, and a limiting column is snap-fitted and connected inside the positioning hole. The limiting column and the first right-angle plate are slidably connected, and the limiting column and the second right-angle plate are slidably connected.
[0008] Preferably, the limiting column is fixedly connected to the first right-angle plate and the second right-angle plate respectively through springs.
[0009] Preferably, a measuring tape is transmission-connected to the outer side of the reel.
[0010] Preferably, the measuring tape box is rotatably connected to the connecting ear plate via a rotating shaft, and the measuring tape is rotatably connected to the connecting ear plate via a rotating shaft.
[0011] Preferably, the ruler and the receiving block are fixedly connected.
[0012] Preferably, one end of the bottom of each of the first right-angle plate and the second right-angle plate is fixedly connected to a fixed suction cup.
[0013] Compared with the prior art, the utility model provides a Pythagorean theorem demonstration teaching aid, which has the following features:
[0014] Beneficial effects:
[0015] 1. The utility model provides a first right-angle plate and a second right-angle plate, and the first right-angle plate and the second right-angle plate are connected by a rotating member, so that the angle between the first right-angle plate and the second right-angle plate can be adjusted at will. The first right-angle plate, the second right-angle plate, the tape measure box and the tape measure cooperate with each other to form a triangle. Then, by pulling the connecting ear plate, the sliding plate slides inside the slide groove to adjust the length of the two right-angle sides. At the same time, the tape measure is driven inside the tape measure box and extends and retracts following the angles of the two right-angle sides, so as to realize the length of the chord in the Pythagorean theorem. The tape measure can also facilitate the quick observation of the length of the chord. After the adjustment is completed, the limit column is engaged with the positioning hole to complete the length fixation. Through this setting, the side length and the angle of the triangle can be changed at will, which allows students to learn related theories more intuitively, increases the interest of learning, and improves the teaching effect.
[0016] 2. The utility model provides a ruler and a fixed suction cup, and the ruler can facilitate students to measure the length of the first right-angle plate and the second right-angle plate, thereby facilitating the measurement of the side length of the triangle, thereby increasing the practicality of the teaching aid and facilitating students to watch and use it. The first right-angle plate and the second right-angle plate can be fixedly mounted on the blackboard through the fixed suction cup, which is convenient for teachers to implement other teaching methods and is convenient for more students to observe.
[0017] The parts not involved in the device are the same as the existing technology or can be implemented by using the existing technology. The utility model has a scientific and reasonable structure, is safe and convenient to use, and provides great help to people. BRIEF DESCRIPTION OF THE DRAWINGS
[0018] The accompanying drawings are used to provide a further understanding of the present invention and constitute a part of the specification. Together with the embodiments of the present invention, they are used to explain the present invention and do not constitute a limitation of the present invention. In the accompanying drawings:
[0019] Figure 1 This is a schematic diagram of the axonometric structure of one side of a Pythagorean theorem demonstration teaching aid proposed by the utility model;
[0020] Figure 2 It is a schematic diagram of the axonometric structure of the other side of a Pythagorean theorem demonstration teaching aid proposed by the utility model;
[0021] Figure 3 A schematic diagram of the top view of a Pythagorean theorem demonstration teaching aid proposed by the utility model;
[0022] Figure 4 A schematic diagram of the structure of a limit column of a Pythagorean theorem demonstration teaching aid proposed by the utility model;
[0023] Figure 5 A schematic diagram of the structure of a tape measure box for a Pythagorean theorem demonstration teaching aid proposed by the utility model;
[0024] Figure 6 A schematic diagram of a fixed suction cup structure of a Pythagorean theorem demonstration teaching aid proposed by the utility model;
[0025] Figure 7 A schematic diagram of the structure of a sliding plate of a Pythagorean theorem demonstration teaching aid proposed by the utility model;
[0026] In the figure: a first right-angle plate 1, a second right-angle plate 2, a rotating member 3, a slide groove 4, a sliding plate 5, a positioning hole 6, a limit column 7, a spring 8, a connecting ear plate 9, a tape measure box 10, a tape measure 11, a reel 12, a rotating shaft 13, a fixed plate 14, an automatic winding roller 15, a receiving block 16, a ruler 17, and a fixed suction cup 18. DETAILED DESCRIPTION
[0027] The following will be combined with the drawings in the embodiments of the utility model to clearly and completely describe the technical solutions in the embodiments of the utility model. Obviously, the described embodiments are only part of the embodiments of the utility model, not all of the embodiments. Based on the embodiments in the utility model, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the utility model.
[0028] See also Figure 1-7 The utility model provides a technical solution: a Pythagorean theorem demonstration teaching aid, comprising a first right-angle plate 1, a second right-angle plate 2 is arranged at one end of the first right-angle plate 1, a slide groove 4 is arranged inside the first right-angle plate 1 and the second right-angle plate 2, a sliding plate 5 is slidably connected inside the slide groove 4, a positioning hole 6 is arranged on one side of the sliding plate 5, a connecting ear plate 9 is fixedly connected to one end of the sliding plate 5, a tape measure box 10 is arranged on one side of the connecting ear plate 9, a reel 12 is fixedly connected inside the tape measure box 10, the first right-angle plate 1, the second right-angle plate 2, the tape measure box 10 and the tape measure 11 cooperate with each other to form a triangle, and then the sliding plate 5 slides inside the slide groove 4 by pulling the connecting ear plate 9 to adjust the length of the two right-angle sides, and at the same time, the tape measure 11 is driven inside the tape measure box 10 to extend and retract following the angles of the two right-angle sides, thereby realizing The length of the chord in the Pythagorean theorem, the tape measure 11 can also facilitate the quick observation of the length of the chord. After the adjustment is completed, the limit column 7 is engaged with the positioning hole 6 to complete the fixation of the length. Through this setting, the side length and angle of the triangle can be changed at will, which allows students to learn related theories more intuitively, increase the interest of learning, and improve the teaching effect. The top of the connecting ear plate 9 is fixedly connected with a fixed plate 14, and the fixed plate 14 is internally rotatably connected with an automatic winding roller 15. One end of the top of the first right-angle plate 1 and the second right-angle plate 2 is fixedly connected with a receiving block 16, and the outer side of the automatic winding roller 15 is transmission-connected with a ruler 17. The ruler 17 can facilitate students to measure the length of the first right-angle plate 1 and the second right-angle plate 2, thereby facilitating the measurement of the side length of the triangle, increasing the practicality of the teaching aid, and facilitating students to watch and use.
[0029] In the present invention, preferably, the first right-angle plate 1 and the second right-angle plate 2 are rotatably connected via a rotating member 3, so that the angle between the first right-angle plate 1 and the second right-angle plate 2 can be adjusted at will.
[0030] In the present invention, preferably, a plurality of positioning holes 6 are provided, and the positioning holes 6 are internally engaged with the limiting posts 7, the limiting posts 7 and the first right-angle plate 1 are slidably connected, and the limiting posts 7 and the second right-angle plate 2 are slidably connected.
[0031] In the present invention, preferably, the limiting column 7 is fixedly connected to the first right-angle plate 1 and the second right-angle plate 2 respectively through the spring 8.
[0032] In the present invention, preferably, the outer side of the reel 12 is connected to the measuring tape 11 in a transmission manner.
[0033] In the present utility model, preferably, the measuring tape box 10 is rotatably connected to the connecting ear plate 9 via the rotating shaft 13 , and the measuring tape 11 is rotatably connected to the connecting ear plate 9 via the rotating shaft 13 .
[0034] In the present invention, preferably, the scale 17 and the receiving block 16 are fixedly connected.
[0035] In the utility model, preferably, one end of the bottom of the first right-angle plate 1 and the second right-angle plate 2 are fixedly connected with a fixed suction cup 18, and the first right-angle plate 1 and the second right-angle plate 2 can be fixedly installed on the blackboard through the fixed suction cup 18, which is convenient for the teacher to implement other teaching methods and facilitates more students to observe.
[0036] The working principle and use process of the utility model are as follows: when in use, first, the first right-angle plate 1 and the second right-angle plate 2 are connected by the rotating member 3, and the angle between the first right-angle plate 1 and the second right-angle plate 2 can be adjusted at will. The first right-angle plate 1, the second right-angle plate 2, the tape measure box 10 and the tape measure 11 cooperate with each other to form a triangle. Then, by pulling the connecting ear plate 9, the sliding plate 5 slides inside the slide groove 4 to adjust the length of the two right-angled sides. At the same time, the tape measure 11 is driven inside the tape measure box 10 and extends and retracts following the angles of the two right-angled sides, so as to realize the length of the chord in the Pythagorean theorem. The tape measure 11 can also facilitate the quick observation of the length of the chord and adjust the length. After the section is completed, the limit column 7 is engaged with the positioning hole 6 to fix the length. Through this setting, the side length and angle of the triangle can be changed at will, which allows students to learn related theories more intuitively, increases the interest of learning, and improves teaching effectiveness. During use, the ruler 17 can facilitate students to measure the length of the first right-angle plate 1 and the second right-angle plate 2, thereby facilitating the measurement of the side length of the triangle, increasing the practicality of the teaching aid, and facilitating students to watch and use. The first right-angle plate 1 and the second right-angle plate 2 can be fixedly installed on the blackboard through the fixed suction cup 18, which is convenient for teachers to implement other teaching methods and is convenient for more students to observe.
[0037] Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that various changes, modifications, substitutions and variations may be made to the embodiments without departing from the principles and spirit of the present invention, and that the scope of the present invention is defined by the appended claims and their equivalents.
Claims
1. A Pythagorean theorem demonstration teaching aid, comprising a first right angle plate (1), characterized in that: A second right-angle plate (2) is arranged at one end of the first right-angle plate (1), and a slide groove (4) is arranged inside the first right-angle plate (1) and the second right-angle plate (2), and a sliding plate (5) is slidably connected inside the slide groove (4), and a positioning hole (6) is arranged on one side of the sliding plate (5), and a connecting ear plate (9) is fixedly connected to one end of the sliding plate (5), and a tape measure box (10) is arranged on one side of the connecting ear plate (9), and a reel (12) is fixedly connected inside the tape measure box (10), and a fixed plate (14) is fixedly connected to the top of the connecting ear plate (9), and an automatic winding roller (15) is rotatably connected inside the fixed plate (14), and a receiving block (16) is fixedly connected to one end of the top of the first right-angle plate (1) and the second right-angle plate (2), and a scale (17) is transmission-connected to the outer side of the automatic winding roller (15).
2. A Pythagorean theorem demonstration teaching aid according to claim 1, characterized in that: The first right-angle plate (1) and the second right-angle plate (2) are rotatably connected via a rotating member (3).
3. A Pythagorean theorem demonstration teaching aid according to claim 1, characterized in that: A plurality of positioning holes (6) are provided, and a limiting column (7) is snap-fitted and connected inside the positioning hole (6). The limiting column (7) and the first right-angle plate (1) are slidably connected, and the limiting column (7) and the second right-angle plate (2) are slidably connected.
4. A Pythagorean theorem demonstration teaching aid according to claim 3, characterized in that: The limiting column (7) is fixedly connected to the first right-angle plate (1) and the second right-angle plate (2) respectively via a spring (8).
5. A Pythagorean theorem demonstration teaching aid according to claim 1, characterized in that: The outer side of the reel (12) is connected in driving connection with a measuring tape (11).
6. A Pythagorean theorem demonstration teaching aid according to claim 5, characterized in that: The measuring tape box (10) is rotatably connected to the connecting ear plate (9) via a rotating shaft (13), and the measuring tape (11) is rotatably connected to the connecting ear plate (9) via a rotating shaft (13).
7. A Pythagorean theorem demonstration teaching aid according to claim 1, characterized in that: The scale (17) and the receiving block (16) are fixedly connected.
8. A Pythagorean theorem demonstration teaching aid according to claim 1, characterized in that: A fixed suction cup (18) is fixedly connected to one end of the bottom of each of the first right-angle plate (1) and the second right-angle plate (2).