Slide rail type teaching aid for demonstrating Zhao cool string diagram and maximum fixed product

Abstract

The invention discloses a slide rail type teaching aid for demonstrating a Zhao cool string diagram and maximum fixed product, which comprises four groups of moving mechanisms distributed in an annular array, and is characterized in that each moving mechanism comprises a bottom layer fixed guide rail, a middle layer inclined guide rail, a top layer moving guide rail, a cross slide block group, an inclined slide block group and a flexible rope; specifically, the cross slide block group comprises a top layer slide block I, a bottom layer slide block, a middle cushion block and a pin shaft I; the middle cushion block is arranged between the top-layer sliding block I and the bottom-layer sliding block, and the three are rotationally connected through a pin shaft I; the inclined sliding block group comprises a top-layer sliding block II, a middle-layer sliding block, a connecting plate and a pin shaft II; and the top-layer slide block II is rotationally connected with the middle-layer slide block through a pin shaft II. The sum of two right-angle sides in a right triangle is controlled to be kept unchanged all the time by arranging a middle-layer inclined guide rail or a linear sliding block module, the area of a large square is controlled to be kept unchanged all the time by arranging a bottom-layer fixed guide rail, and linkage among a plurality of guide rails is achieved by arranging a cross-shaped sliding block set and an inclined sliding block set.

Description

Technical Field

[0001] This invention relates to the field of teaching aids, specifically to a slide rail teaching aid that demonstrates Zhao Shuang's chord diagram and the largest constant volume. Background Technology

[0002] When Zhao Shuang, a mathematician from the Wu Kingdom during the Three Kingdoms period, wrote the preface to the book *Zhoubi Suanjing*, he created a diagram called the "Gougu Circle and Square Diagram." The beauty of this diagram lies in its simplicity, yet it is profound, classic, and enduring, and is hailed as a "totem of Chinese mathematics." In 2002, the International Congress of Mathematicians in Beijing used the "Zhao Shuang Gougu Diagram" as its logo. He used a method combining shape and algebra to provide a detailed proof of the Pythagorean theorem, and this diagram is known to later generations as the "Zhao Shuang Gougu Diagram."

[0003] The "Zhao Shuang String Diagram" contains rich mathematical knowledge, shining brightly not only in the proof of the Pythagorean theorem but also, due to its rich geometric features, effectively training students' thinking. The string diagram is composed of two basic types of figures: right-angled triangles and squares. It features parallel line segments, equal or complementary angles, equal and perpendicular line segments, and the Pythagorean theorem; geometrically, it contains four pairs of congruent right-angled triangles. The string diagram's inherent concepts of dissection and reconstruction, the combination of numbers and shapes, and geometric transformations serve as excellent vehicles for permeating mathematical thinking in the classroom.

[0004] Professor Wang Xiaoqin of East China Normal University once said that in today's era of integrating excellent traditional Chinese culture into curriculum and teaching, teachers not only need to "use the past for the present" but also need to "innovate." In her article, "Multiple Proofs and Teaching Implications of the Proposition 'Evil Cannot Prevail Over Good'," Professor Wang mentioned that the Pythagorean theorem can be proven using the Pythagorean square and the large square diagram. The Zhao Shuang large square diagram can be used to visually illustrate the problems of "maximum product when sum is constant" and "minimum sum when product is constant." In teaching practice, teachers often use information technology and mathematical software to demonstrate the quantitative relationships of "maximum product when sum is constant" and "minimum sum when product is constant," and how to adjust the values ​​of various variables to maximize the product or minimize the sum of the perimeters. These problems present certain difficulties for beginners and students in understanding and mastering. Traditional teaching methods rely heavily on paper-and-pencil calculations. In recent years, with the continuous development of educational technology, more and more teaching aids have been developed, such as mathematical software, interactive whiteboards, and physical models. These tools have improved teaching effectiveness to some extent, but these methods often lack hands-on operation and interactivity, which is not conducive to students forming a deep understanding and mastery.

[0005] When Zhao Shuang demonstrates the specific problem of "maximum product when sum is constant" and "minimum sum when product is constant" using large square diagrams, there is still a lack of specially designed, intuitive and easy-to-use teaching aids. Summary of the Invention

[0006] To overcome the shortcomings of existing technologies, the purpose of this invention is to provide a sliding track teaching aid for demonstrating Zhao Shuang's chord diagram and the problem of maximizing a fixed product. This teaching aid can intuitively demonstrate the basic principles and solution process of the problem of maximizing a fixed product, helping students better understand and master this concept. Through this teaching aid, students can operate it themselves, adjust the values ​​of each variable, and observe the changes in the product, thereby deeply understanding the essence and solution method of the problem of maximizing a fixed product.

[0007] To this end, the present invention proposes a slide rail teaching aid for demonstrating Zhao Shuang's chord diagram and the largest fixed volume, comprising four sets of movable mechanisms arranged in a circular array. Each movable mechanism includes a bottom fixed guide rail, a middle inclined guide rail, a top movable guide rail, a cross slider group, and an inclined slider group. The cross slider assembly includes a top slider, a bottom slider, a middle pad, and a pin; the middle pad is disposed between the top slider and the bottom slider, and the three are rotatably connected by the pin; the inclined slider assembly includes a top slider, a middle slider, a connecting plate, and a pin; the top slider and the middle slider are rotatably connected by the pin. The four bottom fixed guide rails form a large square, and the four middle inclined guide rails form a cross shape; one end of the top movable guide rail is close to the middle of the adjacent top movable guide rail, forming a shape composed of a small square and four swivel lines. The bottom slider slides in conjunction with the bottom fixed guide rail, the middle slider slides in conjunction with the middle inclined guide rail, and both the top slider one and the top slider two slide in conjunction with the top movable guide rail; at the same time, one end of the inner side of the top movable guide rail is fixedly connected to the top slider two through the connecting plate.

[0008] As a preferred embodiment of the present invention, the outer ends of the top-level movable guide rails are all connected to cross sliding modules.

[0009] As a preferred embodiment of the present invention, each top-level movable guide rail is connected to a linear servo slide at its outer end, and the linear servo slide is arranged parallel to the middle-level inclined guide rail.

[0010] As a preferred embodiment of the present invention, the middle layer inclined guide rail is replaced with a linear sliding module, and the middle layer slider is replaced with the slider that is built into the linear sliding module.

[0011] As a preferred embodiment of the present invention, the bottom fixed guide rail, the middle inclined guide rail, and the top movable guide rail are all provided with scales.

[0012] As a preferred embodiment of the present invention, the central symmetry plane of the middle layer inclined guide rail intersects with the four endpoints of the large square.

[0013] As a preferred embodiment of the present invention, each active mechanism further includes a flexible rope, the two ends of which are respectively connected to two adjacent intermediate pads, and the four flexible ropes form an oblique square.

[0014] The present invention provides a demonstration of the Zhao Shuang chord diagram and a sliding rail teaching aid with the largest constant volume. By setting a middle layer of inclined guide rails or linear slider modules, the sum of the two legs of the right triangle remains constant. By setting a bottom layer of fixed guide rails, the area of ​​the large square remains constant. By setting a cross slider group and an inclined slider group, the linkage between multiple guide rails is realized. By setting a flexible rope, the changes of the oblique cube can be observed intuitively. By setting scales on multiple guide rails, the relationship between the areas of multiple squares can be verified by calculation.

[0015] Furthermore, this teaching aid visually demonstrates the basic principles and solution process of the problem of maximizing the product of a fixed sum, helping students better understand and master this concept. Through this teaching aid, students can operate it themselves, adjust the values ​​of each variable, and observe the changes in the product, thereby gaining a deeper understanding of the essence and solution method of the problem of maximizing the product of a fixed sum.

[0016] In addition to the purposes, features, and advantages described above, this application has other purposes, features, and advantages. A further detailed description of this application will be provided below with reference to the figures. Attached Figure Description

[0017] The accompanying drawings, which form part of this application, are used to provide a further understanding of this application. The illustrative embodiments and descriptions of this application are used to explain this application and do not constitute an undue limitation of this application. In the drawings: Figure 1 This is a schematic diagram of the Zhao Shuang string diagram and the three-dimensional structure of the slide rail teaching aid with the largest constant volume, demonstrating the present invention; Figure 2 This is a demonstration diagram of the present invention and a front view of the slide rail teaching aid with the largest constant volume; Figure 3 This is a demonstration diagram of the present invention, showing the cross slider assembly in the slide rail teaching aid with the largest constant volume; Figure 4 This is a demonstration diagram of the present invention, showing the chord diagram of Zhao Shuang and a structural schematic diagram of the inclined slider group in the slide rail teaching aid with the largest constant volume; Figure 5 This is a demonstration diagram of Zhao Shuang's string diagram and a structural schematic diagram of the slide rail teaching aid with the largest constant volume in Embodiment 2 of the present invention; Figure 6 This is a demonstration diagram of Zhao Shuang's string diagram and a structural schematic diagram of the slide rail teaching aid with the largest constant volume in Embodiment 3 of the present invention; Figure 7 This invention demonstrates the chord diagram of Zhao Shuang and the slide rail teaching aid with the largest constant volume. Figure 1 ; Figure 8 This invention demonstrates the chord diagram of Zhao Shuang and the slide rail teaching aid with the largest constant volume. Figure 2 ; Figure 9 This invention demonstrates the chord diagram of Zhao Shuang and the slide rail teaching aid with the largest constant volume. Figure 3 ; Explanation of reference numerals in the attached figures 1. Bottom fixed guide rail; 2. Middle inclined guide rail; 3. Top movable guide rail; 4. Cross slider assembly; 5. Inclined slider assembly; 6. Flexible rope; 7. Cross sliding module; 8. Linear sliding module; 11. Large square; 12. Small square; 13. Inclined square; 14. Right triangle; 41. Top slider one; 42. Bottom slider; 43. Middle pad; 51. Top slider two; 52. Middle slider; 53. Connecting plate. Detailed Implementation

[0018] It should be noted that, unless otherwise specified, the embodiments and features described in this application can be combined with each other. This application will now be described in detail with reference to the accompanying drawings and embodiments.

[0019] Example 1 like Figures 1-4 As shown, the present invention demonstrates the Zhao Shuang string diagram and the slide rail teaching aid with the largest fixed volume, which includes four sets of movable mechanisms distributed in a ring array. Each movable mechanism includes a bottom fixed guide rail 1, a middle inclined guide rail 2, a top movable guide rail 3, a cross slider group 4, an inclined slider group 5, and a flexible rope 6; wherein, the bottom fixed guide rail 1, the middle inclined guide rail 2, and the top movable guide rail 3 are all provided with scales.

[0020] Specifically, the cross slider group 4 includes a top slider 41, a bottom slider 42, a middle pad 43, and a pin 1; the middle pad 43 is disposed between the top slider 41 and the bottom slider 42, and the three are rotatably connected by the pin 1; the inclined slider group 5 includes a top slider 51, a middle slider 52, a connecting plate 53, and a pin 2; the top slider 51 and the middle slider 52 are rotatably connected by the pin 2.

[0021] Among them, four bottom fixed guide rails 1 form a large square 11, four middle inclined guide rails 2 form a cross shape, and the four ends of the large square 11 are on the central symmetrical plane of the cross; one end of the top movable guide rail 3 is close to the middle of the adjacent top movable guide rail 3, and the four top movable guide rails 3 form a small square 12 and four swivel lines.

[0022] The bottom slider 42 slides with the bottom fixed guide rail 1, the middle slider 52 slides with the middle inclined guide rail 2, and the top slider 1 41 and top slider 2 51 can slide with the top movable guide rail 3. At the same time, one end of the inner side of the top movable guide rail 3 is fixedly connected to the top slider 2 51 through the connecting plate 53. The two ends of the flexible rope 6 are respectively connected to two adjacent intermediate pads 43, and the four flexible ropes 6 form an oblique square 13.

[0023] like Figures 7-9 As shown, during the use of the teaching aid of the present invention, the four inclined slider groups 5 are first manually moved inward along the middle inclined guide rail 2. At this time, the middle slider 52 slides along the middle inclined guide rail 2, and the top slider 51 drives the top movable guide rail 3 to move obliquely downward through the connecting plate 53. The cross slider group 4 then slides downward with the top movable guide rail 3. The top movable guide rail 3 slides in the top slider 41, and the bottom slider 42 slides downward in the bottom fixed guide rail 1.

[0024] During this process, the sum of the two legs of the right triangle 14 formed by the inclined slider group 5 and the two adjacent cross slider groups 4 remains constant and is equal to the length of the bottom fixed guide rail 1. By observing the scale on the guide rail and calculating the area, we find that the area of ​​the large square 11 formed by the four bottom fixed guide rails 1 remains constant, while the total area of ​​the four right triangles 14 is equal to the area of ​​the large square 11 minus half the area of ​​the small square 12 enclosed by the four top movable guide rails 3. However, the small square 12 enclosed by the four top movable guide rails 3 becomes smaller and smaller, that is, the total area of ​​the four right triangles 14 becomes larger and larger.

[0025] When the four oblique slider groups 5 move inward to the center of the large square at the same time, the length and width of the right triangle 14 are the same. At this time, the small square enclosed by the four top-level movable guide rails 3 is zero, and the total area of ​​the four equilateral triangles reaches the maximum value; that is, the "maximum sum and maximum area" is achieved.

[0026] Example 2 like Figures 1-5 As shown in the diagram, the present invention demonstrates a sliding rail teaching aid with the largest fixed volume, comprising four sets of movable mechanisms arranged in a circular array. Each movable mechanism includes a bottom fixed guide rail 1, a middle inclined guide rail 2, a top movable guide rail 3, a cross slider group 4, an inclined slider group 5, and a flexible rope 6. It also includes a cross sliding module 7 or a linear servo slide. The bottom fixed guide rail 1, the middle inclined guide rail 2, and the top movable guide rail 3 are all equipped with graduations.

[0027] Specifically, the cross slider group 4 includes a top slider 41, a bottom slider 42, a middle pad 43, and a pin 1; the middle pad 43 is disposed between the top slider 41 and the bottom slider 42, and the three are rotatably connected by the pin 1; the inclined slider group 5 includes a top slider 51, a middle slider 52, a connecting plate 53, and a pin 2; the top slider 51 and the middle slider 52 are rotatably connected by the pin 2.

[0028] Among them, four bottom fixed guide rails 1 form a large square 11, four middle inclined guide rails 2 form a cross shape, and the four ends of the large square 11 are on the central symmetrical plane of the cross; one end of the top movable guide rail 3 is close to the middle of the adjacent top movable guide rail 3, and the four top movable guide rails 3 form a small square 12 and four swivel lines.

[0029] The bottom slider 42 slides with the bottom fixed guide rail 1, the middle slider 52 slides with the middle inclined guide rail 2, and the top slider 1 41 and top slider 2 51 can slide with the top movable guide rail 3. At the same time, one end of the inner side of the top movable guide rail 3 is fixedly connected to the top slider 2 51 through the connecting plate 53. The two ends of the flexible rope 6 are respectively connected to two adjacent intermediate pads 43, and the four flexible ropes 6 form an oblique square 13.

[0030] In addition, each top-level movable guide rail 3 is connected to a cross-shaped sliding module 7 or a linear servo slide at its outer end. Driven by a servo motor or pneumatics, the top-level movable guide rail 3 moves obliquely along the middle-level inclined guide rail 2, thus making the entire teaching aid move; thereby achieving semi-automatic demonstration. Specifically, when the outer end of the top-level movable guide rail 3 is connected to a linear servo slide, the linear servo slide is set parallel to the middle-level inclined guide rail 2, and the slider of the linear servo slide is fixedly connected to the outer end of the top-level movable guide rail 3.

[0031] like Figures 7-9 As shown, during the use of the teaching aid of the present invention, the four top movable guide rails 3 are first moved obliquely along the middle inclined guide rail 2 by a servo motor or pneumatic drive. At this time, the top movable guide rail 3 drives the top slider 2 51 to move obliquely downward through the connecting plate 53, and the four middle sliders 52 slide along the middle inclined guide rail 2; at the same time, the cross slider group 4 slides downward with the top movable guide rail 3, wherein the top movable guide rail 3 slides in the top slider 1 41, and the bottom slider 42 slides downward in the bottom fixed guide rail 1.

[0032] During this process, the sum of the two legs of the right triangle 14 formed by the oblique slider group 5 and the two adjacent cross slider groups 4 remains constant and is equal to the length of the bottom fixed guide rail 1; the area of ​​the large square 11 formed by the four bottom fixed guide rails 1 remains constant, while the total area of ​​the four right triangles 14 is equal to the area of ​​the large square 11 minus half the area of ​​the small square 12 enclosed by the four top movable guide rails 3; however, the small square 12 enclosed by the four top movable guide rails 3 becomes smaller and smaller, that is, the total area of ​​the four right triangles 14 becomes larger and larger.

[0033] When the four oblique slider groups 5 move inward to the center of the large square at the same time, the length and width of the right triangle 14 are the same. At this time, the small square enclosed by the four top-level movable guide rails 3 is zero, and the total area of ​​the four equilateral triangles reaches the maximum value; that is, the "maximum sum and maximum area" is achieved.

[0034] Example 3 like Figure 3 , Figure 4 and Figure 6 As shown, the present invention demonstrates the Zhao Shuang string diagram and the slide rail teaching aid with the largest fixed volume, which includes four sets of movable mechanisms distributed in a ring array. Each movable mechanism includes a bottom fixed guide rail 1, a linear sliding module 8, a top movable guide rail 3, a cross slider group 4, an inclined slider group 5, and a flexible rope 6; wherein, the bottom fixed guide rail 1 and the top movable guide rail 3 are both provided with scales.

[0035] Specifically, the cross slider group 4 includes a top slider 41, a bottom slider 42, a middle pad 43, and a pin 1; the middle pad 43 is disposed between the top slider 41 and the bottom slider 42, and the three are rotatably connected by the pin 1; the inclined slider group 5 includes a top slider 51, a connecting plate 53, and a pin 2; the linear sliding module 8 has a middle slider 52 that slides along its slide rail; the top slider 51 and the middle slider 52 are rotatably connected by the pin 2.

[0036] Among them, four bottom fixed guide rails 1 form a large square 11, four linear sliding modules 8 form a cross shape, and the four ends of the large square 11 are on the central symmetrical plane of the cross; one end of the top movable guide rail 3 is close to the middle of the adjacent top movable guide rail 3, and the four top movable guide rails 3 form a small square 12 and four swivel lines.

[0037] The bottom slider 42 slides with the bottom fixed guide rail 1, the middle slider 52 slides with the slide rail of the linear sliding module 8, and the top slider 1 41 and top slider 2 51 can slide with the top movable guide rail 3. At the same time, one end of the inner side of the top movable guide rail 3 is fixedly connected to the top slider 2 51 through the connecting plate 53. The two ends of the flexible rope 6 are respectively connected to two adjacent intermediate pads 43, and the four flexible ropes 6 form an oblique square 13.

[0038] like Figures 7-9 As shown, during the use of the teaching aid of the present invention, the linear sliding module 8 is first controlled by the controller to work. The middle layer slider 52 slides along the slide rail of the linear sliding module 8, while the top layer slider 51 drives the top layer movable guide rail 3 to move obliquely downward through the connecting plate 53. The cross slider group 4 then slides downward with the top layer movable guide rail 3. The top layer movable guide rail 3 slides on the top layer slider 41, and the bottom layer slider 42 slides downward in the bottom layer fixed guide rail 1.

[0039] During this process, the sum of the two legs of the right triangle 14 formed by the oblique slider group 5 and the two adjacent cross slider groups 4 remains constant and is equal to the length of the bottom fixed guide rail 1; the area of ​​the large square 11 formed by the four bottom fixed guide rails 1 remains constant, while the total area of ​​the four right triangles 14 is equal to the area of ​​the large square 11 minus half the area of ​​the small square 12 enclosed by the four top movable guide rails 3; however, the small square 12 enclosed by the four top movable guide rails 3 becomes smaller and smaller, that is, the total area of ​​the four right triangles 14 becomes larger and larger.

[0040] When the four oblique slider groups 5 move inward to the center of the large square at the same time, the length and width of the right triangle 14 are the same. At this time, the small square enclosed by the four top-level movable guide rails 3 is zero, and the total area of ​​the four equilateral triangles reaches the maximum value; that is, the "maximum sum and maximum area" is achieved.

[0041] The working principle and process of the present invention, including the demonstration diagram of Zhao Shuang and the slide rail teaching aid with the largest constant volume, are briefly described below with reference to the accompanying drawings.

[0042] The present invention provides a demonstration of the Zhao Shuang chord diagram and a sliding rail teaching aid with the largest constant volume. By setting a middle layer of inclined guide rails or linear slider modules, the sum of the two legs of the right triangle remains constant. By setting a bottom layer of fixed guide rails, the area of ​​the large square remains constant. By setting a cross slider group and an inclined slider group, the linkage between multiple guide rails is realized. By setting a flexible rope, the changes of the oblique cube can be observed intuitively. By setting scales on multiple guide rails, the relationship between the areas of multiple squares can be verified by calculation.

[0043] This teaching aid visually demonstrates the basic principles and solution process of the problem of maximizing the product of a fixed sum, helping students better understand and master this concept. Through this aid, students can operate it themselves, adjust the values ​​of each variable, and observe the changes in the product, thereby gaining a deeper understanding of the essence and solution method of the problem of maximizing the product of a fixed sum.

[0044] The demonstration of Zhao Shuang's chord diagram and the sliding rail teaching aid with the largest constant product provided by this invention have brought significant benefits to mathematics teaching and learning, mainly in the following aspects: Visualizing Traditional Chinese Mathematical Culture: Zhao Shuang's string diagram is a treasure of ancient Chinese culture, containing mathematical knowledge such as the Pythagorean theorem, similar triangles, and proportional relationships. As the new generation, we need to inherit and promote this culture. By studying and visualizing Zhao Shuang's string diagram, we can not only pass on traditional Chinese mathematical culture, but also enhance students' sense of cultural identity, stimulate their interest in mathematics, and cultivate their innovative awareness and practical abilities.

[0045] Enhanced intuitiveness: Traditional teaching of the problem of maximizing the product of a fixed sum often relies on abstract mathematical formulas and theoretical derivations, which are difficult for many students to understand. This teaching aid uses intuitive physical models or graphical interfaces, allowing students to directly observe and operate, thereby gaining a more intuitive understanding and mastery of the concept and solution method of maximizing the product of a fixed sum.

[0046] Enhanced interactivity: This teaching aid is highly interactive, allowing students to manually adjust variable values ​​and observe changes in the product in real time. This interactive learning approach stimulates students' interest and increases their participation and initiative.

[0047] Improved teaching effectiveness: The accompanying teaching methods combine traditional classroom instruction with interactive learning, enabling students to learn and think through hands-on practice. This approach helps deepen students' understanding of problems involving maximizing sums and products, thereby improving teaching effectiveness and learning outcomes.

[0048] Developing Problem-Solving Skills: Through the practice of this teaching aid and method, students will not only understand and master the mathematical principle of maximizing a fixed product, but also develop the ability to solve practical problems. This ability is of great significance for students' future learning and career development.

[0049] Wide range of applications: This teaching aid and method are not only suitable for mathematics teaching, but can also be applied to scenarios involving the maximum product in other disciplines such as physics, economics, and engineering. Therefore, it has broad applicability and promotional value.

[0050] In summary, the "maximum product with fixed sum" teaching aid and its teaching method provided by this invention have significant beneficial effects on improving teaching effectiveness and cultivating students' abilities, and provide strong support and innovation for mathematics education and the teaching of related subjects.

[0051] The above description is merely a preferred embodiment of this application and is not intended to limit this application. Various modifications and variations can be made to this application by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of this application should be included within the protection scope of this application.

Claims

1. A slide rail teaching aid for demonstrating Zhao Shuang's chord diagram and the maximum fixed volume, characterized in that, It includes four sets of movable mechanisms distributed in a ring array. Each movable mechanism includes a bottom fixed guide rail (1), a middle inclined guide rail (2), a top movable guide rail (3), a cross slider group (4), and an inclined slider group (5). The cross slider assembly (4) includes a top slider (41), a bottom slider (42), a middle pad (43), and a pin; the middle pad (43) is disposed between the top slider (41) and the bottom slider (42), and the three are rotatably connected by the pin; the inclined slider assembly (5) includes a top slider (51), a middle slider (52), a connecting plate (53), and a pin; the top slider (51) and the middle slider (52) are rotatably connected by the pin; Among them, the four bottom fixed guide rails (1) form a large square (11), and the four middle inclined guide rails (2) form a cross shape; one end of the top movable guide rail (3) is close to the middle of the adjacent top movable guide rail (3), forming a shape composed of a small square (12) and four strands; The bottom slider (42) is slidably engaged with the bottom fixed guide rail (1), the middle slider (52) is slidably engaged with the middle inclined guide rail (2), and the top slider one (41) and the top slider two (51) are both slidably engaged with the top movable guide rail (3); at the same time, one end of the inner side of the top movable guide rail (3) is fixedly connected to the top slider two (51) through the connecting plate (53).

2. The teaching aid for demonstrating Zhao Shuang's chord diagram and the slide rail type with the largest fixed volume as described in claim 1, characterized in that, Each top-level movable guide rail (3) has a cross sliding module (7) connected to its outer end.

3. The teaching aid for demonstrating Zhao Shuang's chord diagram and the slide rail type with the largest fixed volume as described in claim 1, characterized in that, Each top-level movable guide rail (3) has a linear servo slide connected to its outer end, and the linear servo slide is set parallel to the middle-level inclined guide rail 2.

4. The teaching aid for demonstrating Zhao Shuang's chord diagram and the slide rail type with the largest fixed volume as described in claim 1, characterized in that, The middle layer inclined guide rail (2) is replaced with a linear sliding module (8), and the middle layer slider (52) is replaced with the slider that comes with the linear sliding module (8).

5. The demonstration of Zhao Shuang's chord diagram and the slide rail teaching aid with the largest fixed volume according to any one of claims 1 to 3, characterized in that, The bottom fixed guide rail (1), the middle inclined guide rail (2), and the top movable guide rail (3) are all equipped with scales.

6. The demonstration of Zhao Shuang's chord diagram and the slide rail teaching aid with the largest fixed volume according to any one of claims 1 to 3, characterized in that, The central symmetry plane of the middle layer inclined guide rail (2) intersects with the four endpoints of the large square (11).

7. The demonstration of Zhao Shuang's chord diagram and the slide rail teaching aid with the largest fixed volume according to any one of claims 1 to 3, characterized in that, Each active mechanism also includes a flexible rope (6), the two ends of which are connected to two adjacent intermediate pads (43), and the four flexible ropes (6) form a diagonal square (13).

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