A teaching aid for demonstrating surfaces in advanced mathematics

Abstract

The present invention relates to the field of teaching aids, and discloses a teaching aid for demonstrating curved surfaces in advanced mathematics, including a base. A vertical column is fixedly installed at the center of the outer wall of the top of the base. A semi-circular arc plate is rotatably installed on the vertical column. A vertical sliding groove is formed in the semi-circular arc plate. A symmetric center plate is fixedly installed on the inner wall at the midpoint of the vertical sliding groove. A first symmetric plate assembly and a second symmetric plate assembly are arranged in the vertical sliding groove. A plurality of groups of curve strips symmetric about the symmetric center plate are connected between the first symmetric plate assembly and the second symmetric plate assembly. Mechanisms for adjusting the curve strips are provided in both the first symmetric plate assembly, the second symmetric plate assembly and the symmetric center plate. For this teaching aid, only by adjusting the two groups of curve strips above the symmetric center plate, the two groups of curve strips below the symmetric center plate can complete the symmetry change, ensuring the unity of the upper and lower symmetric curves, improving the teaching accuracy, and vividly demonstrating the change process of the symmetric curves to students, which is beneficial for students to learn more intuitively.

Description

Technical Field

[0001] The present invention relates to the field of teaching aids, and specifically to a teaching aid for demonstrating curved surfaces in advanced mathematics. Background Art

[0002] Advanced mathematics refers to a part of mathematics with relatively complex objects and methods compared to elementary mathematics and middle school mathematics. Algebra, geometry in middle school, as well as elementary set theory and elementary logic are called middle school mathematics, which serves as a transition between elementary mathematics in primary and secondary schools and advanced mathematics in universities.

[0003] Generally speaking, advanced mathematics is a basic discipline formed by calculus, more in-depth algebra, geometry, and the cross-content between them. The main contents include: sequences, limits, calculus, space analytic geometry and linear algebra, series, ordinary differential equations; it is a basic subject for postgraduate entrance examinations in engineering, science, and finance majors. In the advanced mathematics course, teachers often use geometric teaching aids. However, there are few teaching aids for curved surfaces in traditional teaching aids. When teachers adjust the curve points of the teaching aids in the teaching of symmetric curved surfaces, they adjust them point by point, and the points that are symmetric up and down cannot be accurately corresponded. Therefore, there will be discrepancies when rotating and demonstrating the curved surfaces, and students cannot observe the symmetry well. For this reason, we propose a teaching aid for demonstrating curved surfaces in advanced mathematics. Summary of the Invention

[0004] (1) Technical Problems to be Solved

[0005] In view of the deficiencies of the prior art, the present invention provides a teaching aid for demonstrating curved surfaces in advanced mathematics, which solves the above problems.

[0006] (2) Technical Solutions

[0007] To achieve the above object, the present invention provides the following technical solution: A teaching aid for demonstrating curved surfaces in advanced mathematics, including a base. A column is fixedly installed at the center of the outer wall of the top of the base. The column is rotatably installed with a semi-circular arc plate through turntables at the top and bottom. A vertical vertical chute is opened at the center of the front outer wall of the semi-circular arc plate. A symmetric center plate perpendicular to the semi-circular arc plate is fixedly installed on the inner wall at the midpoint of the vertical chute. And a first symmetric plate assembly and a second symmetric plate assembly are also arranged in the vertical chute. A plurality of groups of curve strips symmetric about the symmetric center plate are connected between the first symmetric plate assembly and the second symmetric plate assembly. And mechanisms for adjusting the curve strips are arranged in the first symmetric plate assembly, the second symmetric plate assembly, and the symmetric center plate.

[0008] Preferably, the first symmetric plate assembly includes an upper plate one and a lower plate one that are symmetrically arranged above and below the symmetric center plate. The second symmetric plate assembly includes an upper plate two and a lower plate two that are symmetric about the symmetric center plate. The upper plate one and the upper plate two are both arranged above the symmetric center plate, and the lower plate one and the lower plate two are both arranged below the symmetric center plate. Moreover, the upper plate two and the lower plate two are respectively arranged at the top and bottom ends of the vertical chute.

[0009] Preferably, the symmetric center plate, the upper plate one, the lower plate one, the upper plate two, and the lower plate two are parallel and of equal length vertically. An arc-shaped clamping groove that is of equal length vertically and symmetric about the symmetric center plate is formed in the semi-circular arc plate. A long hole communicating with the arc-shaped clamping groove is formed in the inner wall of the vertical chute. T-shaped clamping members that are clamped in the arc-shaped clamping groove are fixedly installed on the outer walls of the end faces of the upper plate one, the lower plate one, the upper plate two, and the lower plate two. The upper plate one, the lower plate one, the upper plate two, and the lower plate two are all slidably arranged in the vertical chute through the T-shaped clamping members and are all in contact with the inner wall of the vertical chute.

[0010] Preferably, a vertically penetrating square hole is formed in the outer wall of the top of the port where the symmetric center plate is correspondingly installed in the vertical chute. A gear two and a gear one arranged side by side are rotatably installed at the midpoint of the vertical chute corresponding to the square hole. The first symmetric plate assembly further includes two sets of rack plates one. A set of rack plates one is fixedly installed on the outer wall of the bottom of the upper plate one corresponding to the upper side of the gear one, and a set of rack plates one is fixedly installed on the outer wall of the top of the lower plate one corresponding to the lower side of the gear one. The two sets of rack plates one are centrosymmetric about the center of the gear one, and the two sets of rack plates one both extend into the square hole and mesh with the gear one.

[0011] Preferably, the second symmetric plate assembly further includes two sets of rack plates two. Through-type rectangular through holes are formed in the symmetric sides of the upper plate one and the lower plate one where the rack plates one are correspondingly installed. A set of rack plates two is fixedly installed on the outer wall of the bottom of the upper plate two corresponding to the upper side of the gear two, and a set of rack plates two is fixedly installed on the outer wall of the top of the lower plate two corresponding to the lower side of the gear two. The two sets of rack plates two are centrosymmetric about the center of the gear two, and the two sets of rack plates two respectively penetrate through the upper plate one and the lower plate one through the rectangular through holes. The two sets of rack plates two both extend into the square hole and mesh with the gear two.

[0012] Preferably, through-type horizontal grooves of equal length are formed in the outer walls of the tops of the symmetric center plate, the upper plate one, the lower plate one, the upper plate two, and the lower plate two. The mechanism of the symmetric center plate for adjusting the curve strip includes a threaded screw rod and a nut seat. The threaded screw rod is threadedly connected to the symmetric center plate corresponding to the midline of the horizontal groove. The end of the threaded screw rod is rotatably installed on the inner wall of the side of the horizontal groove close to the vertical chute. The other end of the threaded screw rod extends out of the outer wall of the end face of the symmetric center plate. A nut seat is threadedly sleeved on the outer wall of the threaded screw rod corresponding to the part located in the horizontal groove.

[0013] Preferably, the mechanism for adjusting the curve strip in the first symmetric plate assembly includes a first pull rod and a connecting column, and the mechanism for adjusting the curve strip in the second symmetric plate assembly includes a second pull rod and a connecting column. Horizontal sliding grooves that are connected to and of the same length as the transverse groove are provided on the outer side walls of the same side of the first upper plate and the first lower plate. Horizontal sliding grooves that are connected to and of the same length as the transverse groove are also provided on the outer side walls of the same side of the second upper plate and the second lower plate. Moreover, the horizontal sliding groove provided on the first upper plate and the horizontal sliding groove provided on the second upper plate are on the opposite sides. Magnetic strips are attached to the inner walls of the bottoms of the horizontal sliding grooves, and a group of iron connecting columns extending in the transverse groove are slidably clamped in each group of horizontal sliding grooves through the magnetic strips. An integrated circular clamping block is provided at the end of the connecting column departing from the transverse groove. T-shaped sliding grooves adapted to the ends of the connecting columns are provided in both the first pull rod and the second pull rod. The connecting column is clamped in the T-shaped sliding groove through the circular clamping block and is slidably connected to the first pull rod and the second rack plate. The connecting columns in the first upper plate and the first lower plate are connected to the vertically-shaped first pull rod, and the connecting columns in the second upper plate and the second lower plate are connected to the vertically-shaped second pull rod.

[0014] Preferably, a group of curve strips are fixedly connected between the connecting columns on the first upper plate and the second upper plate, a group of curve strips are fixedly connected between the connecting column on the first upper plate and the nut seat on the symmetric center plate, a group of curve strips are fixedly connected between the nut seat on the symmetric center plate and the connecting column on the first lower plate, and a group of curve strips are fixedly connected between the first lower plate and the second lower plate. Moreover, the curve formed by the two groups of curve strips above the symmetric center plate is symmetric up and down with the curve formed by the two groups below the symmetric center plate.

[0015] Preferably, the curve strip is composed of multiple groups of arc-shaped elastic strips. Every two groups of arc-shaped elastic strips are hinged together at the head and tail ends to form an S shape. The two groups of arc-shaped elastic strips forming the S shape are respectively hinged to two other groups of arc-shaped elastic strips forming the S shape at the midpoints.

[0016] (III) Beneficial effects

[0017] Compared with the prior art, the present invention provides a teaching aid for demonstrating advanced mathematics surfaces, having the following beneficial effects:

[0018] 1. For this teaching aid for demonstrating advanced mathematics surfaces, by providing the first upper plate and the first lower plate that are symmetric up and down, as well as the second upper plate and the second lower plate, and two groups of symmetric upper and lower plates are installed with rack plates meshing with the gears, multiple groups of rack plates are respectively meshed with the gear sets. At the same time, the connection points of the curve strips in the two groups of symmetric plate assemblies are respectively connected to the same pull rod. Therefore, when adjusting the two groups of curve strips above the symmetric center plate, the two groups of curve strips below the symmetric center plate can complete symmetric changes along with the two groups of curve strips above, ensuring the unity of the upper and lower symmetric curves during the teacher's demonstration, improving the accuracy of teaching, and vividly demonstrating the change process of the symmetric curves to the students, which is conducive to the students' more intuitive learning.

[0019] 2. The advanced mathematics curved surface demonstration teaching aid has a curved strip composed of multiple groups of arc-shaped elastic strips. Every two groups of arc-shaped elastic strips are hinged together at the head and tail ends to form an S shape. The two groups of arc-shaped elastic strips that form the S shape are respectively hinged with other two groups of arc-shaped elastic strips that form the S shape at the midpoints. When the curved strip formed by hinging multiple groups of arc-shaped elastic strips changes in curvature, the overall smoothness of the curved strip can be ensured. Moreover, due to the elasticity of the multiple groups of arc-shaped elastic strips and the fact that they are hinged together, the overall length of the curved strip can be shortened or extended according to different changing situations of the curved strip, improving the adaptability of the teaching aid. BRIEF DESCRIPTION OF THE DRAWINGS

[0020] Figure 1 is a schematic structural diagram of the present invention;

[0021] Figure 2 is a schematic structural diagram of the semi-circular arc plate of the present invention;

[0022] Figure 3 is a schematic structural diagram of the symmetric plate assembly of the present invention;

[0023] Figure 4 is Figure 3 a partially enlarged schematic view at A in

[0024] Figure 5 is a schematic structural diagram of the second symmetric plate assembly of the present invention;

[0025] Figure 6 is a schematic structural diagram of the first symmetric plate assembly of the present invention;

[0026] Figure 7 is a schematic structural diagram of the rack plate of the present invention;

[0027] Figure 8 is a schematic structural diagram of the first upper plate of the present invention;

[0028] Figure 9 is a schematic sectional view of the second pull rod of the present invention;

[0029] Figure 10 is a schematic structural diagram of the curved strip of the present invention.

[0030] In the figure: 1. Base; 2. Column; 3. Semi-circular arc plate; 4. First symmetric plate assembly; 5. Second symmetric plate assembly; 6. Vertical sliding groove; 7. Symmetric center plate; 8. First upper plate; 9. First lower plate; 10. First rack plate; 11. First pull rod; 12. Second upper plate; 13. Second lower plate; 14. Second pull rod; 15. Second rack plate; 16. Curved strip; 17. Threaded lead screw; 18. Nut seat; 19. Horizontal groove; 20. Horizontal sliding groove; 21. Connecting column; 22. Arc-shaped clamping groove; 23. T-shaped clamping part; 24. Square hole; 25. Second gear; 26. First gear; 27. Rectangular through hole; 28. Arc-shaped elastic strip; 29. T-shaped sliding groove. DETAILED DESCRIPTION

[0031] See also Figures 1-10 A high-level mathematics surface demonstration teaching aid comprises a base 1, a column 2 is fixedly installed at the center of the top outer wall of the base 1, a semicircular plate 3 is installed on the column 2 through the rotation of the top and bottom turntables, a vertical vertical slide groove 6 is opened at the center of the front outer wall of the semicircular plate 3, and the vertical slide groove 6 is at the same height as the semicircular plate 3, a symmetrical center plate 7 perpendicular to the semicircular plate 3 is fixedly installed on the inner wall at the midpoint of the vertical slide groove 6, and a first symmetrical plate assembly 4 and a second symmetrical plate assembly 5 are also arranged in the vertical slide groove 6, a plurality of groups of curved strips 16 symmetrical about the symmetrical center plate 7 are connected between the first symmetrical plate assembly 4 and the second symmetrical plate assembly 5, and the first symmetrical plate assembly 4, the second symmetrical plate assembly 5 and the symmetrical center plate 7 are all provided with mechanisms for adjusting the curved strips 16.

[0032] Furthermore, the first symmetrical plate assembly 4 includes an upper plate 8 and a lower plate 9 that are symmetrical about the symmetrical center plate 7, and the second symmetrical plate assembly 5 includes an upper plate 12 and a lower plate 13 that are symmetrical about the symmetrical center plate 7. The upper plate 8 and the upper plate 12 are both arranged above the symmetrical center plate 7, and the lower plate 9 and the lower plate 13 are both arranged below the symmetrical center plate 7, and the upper plate 12 and the lower plate 13 are respectively arranged at the top and bottom ends of the vertical slide groove 6.

[0033] Furthermore, the symmetrical center plate 7, upper plate 1 8, lower plate 1 9, upper plate 2 12 and lower plate 2 13 are parallel and equal in length from top to bottom, and an arc-shaped clamping groove 22 of equal length from top to bottom and symmetrical about the symmetrical center plate 7 is provided in the semicircular arc plate 3, and a long strip hole connected to the arc-shaped clamping groove 22 is provided on the inner wall of the vertical slide groove 6, and the end surface outer walls of the upper plate 1 8, lower plate 1 9, upper plate 2 12 and lower plate 2 13 are fixedly installed with T-shaped clamping parts 23 clamped in the arc-shaped clamping groove 22, and the upper plate 1 8, lower plate 1 9, upper plate 2 12 and lower plate 2 13 are all slidably set in the vertical slide groove 6 through the T-shaped clamping parts 23 and are all in contact with the inner wall of the vertical slide groove 6.

[0034] Furthermore, a square hole 24 is provided on the top outer wall of the port corresponding to the port installed in the vertical slide groove 6, and a parallel gear 25 and a gear 1 26 are rotatably installed in the square hole 24 corresponding to the midpoint of the vertical slide groove 6. The first symmetrical plate assembly 4 also includes two groups of rack plates 10, and a group of rack plates 10 is fixedly installed on the bottom outer wall of the upper plate 8 corresponding to the top of the gear 26, and a group of rack plates 10 is fixedly installed on the top outer wall of the lower plate 9 corresponding to the bottom of the gear 26. The two groups of rack plates 10 are symmetrical about the center of the gear 26, and both groups of rack plates 10 extend in the square hole 24 and mesh with the gear 1 26, and the rectangular through hole 27 is closer to the port than the rack plate 10.

[0035] Further, the second symmetric plate assembly 5 further includes two sets of second rack plates 15. Rectangular through holes 27 penetrating through are formed on the symmetric sides of the first upper plate 8 and the first lower plate 9 corresponding to the installation positions of the first rack plate 10. A set of second rack plates 15 are fixedly installed on the outer wall of the bottom of the second upper plate 12 above the corresponding second gear 25, and a set of second rack plates 15 are fixedly installed on the outer wall of the top of the second lower plate 13 below the corresponding second gear 25. The two sets of second rack plates 15 are centrosymmetric about the center of the second gear 25, and the two sets of second rack plates 15 respectively penetrate through the first upper plate 8 and the first lower plate 9 through the rectangular through holes 27. The two sets of second rack plates 15 extend into the square hole 24 and mesh with the second gear 25, and the length of the second rack plate 15 is twice the length of the first rack plate 10.

[0036] Further, through slots 19 of equal length penetrating through are formed on the outer walls of the tops of the symmetric center plate 7, the first upper plate 8, the first lower plate 9, the second upper plate 12 and the second lower plate 13. The mechanism of the symmetric center plate 7 for adjusting the curved strip 16 includes a threaded lead screw 17 and a nut seat 18. The threaded lead screw 17 is threadedly connected at the midline of the through slot 19 in the symmetric center plate 7. The end of the threaded lead screw 17 is rotatably installed on the inner wall of the side of the through slot 19 close to the vertical sliding slot 6. The other end of the threaded lead screw 17 extends out of the end face outer wall of the symmetric center plate 7. A nut seat 18 is threadedly sleeved on the outer wall of the threaded lead screw 17 corresponding to the position in the through slot 19. By rotating the threaded lead screw 17 in the symmetric center plate 7, the position of the curved symmetry point is adjusted. According to the lead screw principle, the nut seat 18 will move linearly, and at the same time, the nut seat 18 will drive the curved strip 16 between the symmetric center plate 7 and the first upper plate 8 and the curved strip 16 between the symmetric center plate 7 and the first lower plate 9 to change synchronously and symmetrically, and at the same time, the symmetric point of the curve can be adjusted.

[0037] Further, horizontal sliding slots 20 of equal length and communicating with the through slot 19 are formed on the outer walls of the same sides of the first upper plate 8 and the first lower plate 9. Horizontal sliding slots 20 of equal length and communicating with the through slot 19 are also formed on the outer walls of the same sides of the second upper plate 12 and the second lower plate 13. The horizontal sliding slot 20 formed on the first upper plate 8 and the horizontal sliding slot 20 formed on the second upper plate 12 are on the opposite sides. Magnetic strips are attached to the inner walls of the bottoms of the horizontal sliding slots 20, and a set of iron connecting columns 21 extending into the through slot 19 are slidably clamped in each group of horizontal sliding slots 20 through the magnetic strips. Due to the adsorption of the iron connecting columns 21 and the magnetic strips, the connecting columns 21 can be stopped when slid to the designated positions.

[0038] The mechanism for adjusting the curve strip 16 in the first symmetric plate assembly 4 includes a first pull rod 11 and a connecting column 21. The mechanism for adjusting the curve strip 16 in the second symmetric plate assembly 5 includes a second pull rod 14 and a connecting column 21. An integrated circular clamping block is provided at the end of the connecting column 21 facing away from the transverse groove 19. T-shaped sliding grooves 29 adapted to the ends of the connecting column 21 are provided in both the first pull rod 11 and the second pull rod 14. The connecting column 21 is connected to the first pull rod 11 and the second rack plate 15 by being clamped in the T-shaped sliding groove 29 through the circular clamping block. The connecting column 21 in the upper plate 8 and the lower plate 9 is connected to the vertical first pull rod 11, and the connecting column 21 in the upper plate 12 and the lower plate 13 is connected to the vertical second pull rod 14. Both the first pull rod 11 and the second pull rod 14 are transparent to prevent blocking students from viewing the curve strip 16 and facilitate the display of a coherent curve by multiple groups of curve strips 16.

[0039] Further, a group of curve strips 16 are fixedly connected between the connecting columns 21 on the upper plate 8 and the upper plate 12. A group of curve strips 16 are fixedly connected between the connecting column 21 on the upper plate 8 and the nut seat 18 on the symmetric center plate 7. A group of curve strips 16 are fixedly connected between the nut seat 18 on the symmetric center plate 7 and the connecting column 21 on the lower plate 9. A group of curve strips 16 are fixedly connected between the lower plate 9 and the lower plate 13. And the curve formed by the two groups of curve strips 16 above the symmetric center plate 7 is symmetric up and down with the curve formed by the two groups below the symmetric center plate 7.

[0040] Further, the curve strip 16 is composed of multiple groups of arc-shaped elastic strips 28. Every two groups of arc-shaped elastic strips 28 are hinged together at the head and tail to form an S shape. The two groups of arc-shaped elastic strips 28 forming the S shape are respectively hinged with two other groups of arc-shaped elastic strips 28 forming the S shape at the midpoints. When the curve strip 16 formed by the multiple groups of arc-shaped elastic strips 28 bends and changes, the overall smoothness of the curve strip 16 can be ensured. And due to the elasticity of the multiple groups of arc-shaped elastic strips 28 themselves and the fact that they are hinged together, the overall length of the curve strip 16 can be shortened or extended according to different change situations of the curve strip 16.

[0041] Working principle: When the teacher conducts teaching demonstrations in class, different symmetric surfaces can be demonstrated using this teaching aid according to different curve formulas. When adjusting different curve shapes, first, the threaded screw rod 17 in the symmetric center plate 7 is rotated to adjust the position of the curve symmetry point. According to the screw rod principle, the nut seat 18 will move linearly. At the same time, the nut seat 18 will drive the curve strip 16 between the symmetric center plate 7 and the upper plate 8 and the curve strip 16 between the symmetric center plate 7 and the lower plate 9 to change synchronously and symmetrically. When adjusting the curve height, the upper plate 2 12 above the symmetric center plate 7 can be pressed. The upper plate 2 12 will drive the rack plate 2 15 connected to it to move downward and simultaneously drive the gear 2 25 to rotate. The rotation of the gear 2 25 will drive the lower rack plate 2 15 to move upward. At the same time, the lower rack plate 2 15 drives the lower plate 2 13 to move upward, and the movement change process of the lower plate 2 13 and the upper plate 2 12 is symmetric and consistent with respect to the symmetric center plate 7. At the same time, the connecting column 21 in the upper plate 2 12 and the lower plate 2 13 will move up and down synchronously in the T-shaped chute 29 of the pull rod 2 14, so as to achieve synchronous and symmetric height changes of the curve strip 16 between the upper plate 2 12 and the upper plate 8 and the curve strip 16 between the lower plate 9 and the lower plate 2 13. Similarly, when pressing down the upper plate 8 to drive the gear 1 26 to rotate through the rack plate 1 10, the lower rack plate 1 10 can drive the lower plate 9 to move upward, so as to achieve synchronous and symmetric height changes of the curve strip 16 between the symmetric center plate 7 and the upper plate 8 and the curve strip 16 between the lower plate 9 and the symmetric center plate 7. When adjusting the curve width, only the pull rod 1 11 between the upper plate 8 and the lower plate 9 or the lower plate 2 13 between the upper plate 2 12 and the lower plate 2 13 needs to be pulled. When pulling the pull rod 1 11, the pull rod 1 11 will drive the connecting column 21 in the upper plate 8 and the lower plate 9 to slide along the magnetic strip at the bottom of the horizontal chute 20. Due to the adsorption of the iron connecting column 21 and the magnetic strip, the connecting column 21 can be stopped when it slides to the specified position. The moving connecting column 21 will drive the curve strip 16 between the symmetric center plate 7 and the upper plate 8 and the curve strip 16 between the symmetric center plate 7 and the lower plate 9 to change synchronously and symmetrically in width. Similarly, when pulling the lower plate 2 13, the moving connecting column 21 will drive the curve strip 16 between the upper plate 8 and the upper plate 2 12 and the curve strip 16 between the lower plate 9 and the lower plate 2 13 to change synchronously and symmetrically in width. After adjusting the symmetric curve, rotating the semi-circular arc plate 3 can display the symmetric surface composed of multiple curve strips 16. This teaching aid only needs to adjust the two curve strips 16 above the symmetric center plate 7, and the two curve strips 16 below the symmetric center plate 7 can complete symmetric changes along with the two curve strips 16 above, ensuring the unity of the upper and lower symmetric curves during the teacher's demonstration, improving the accuracy of teaching, and vividly demonstrating the change process of the symmetric curve to the students, which is conducive to the students' more intuitive learning.

Claims

1. A teaching aid for demonstrating surfaces in advanced mathematics, comprising a base (1). At the center of the outer wall of the top of the base (1), a vertical column (2) is fixedly installed. The vertical column (2) is rotatably installed with a semi-circular arc plate (3) through turntables at the top and bottom. A vertical vertical chute (6) is opened at the center of the front outer wall of the semi-circular arc plate (3), and it is characterized in that: A symmetric center plate (7) perpendicular to the semi-circular arc plate (3) is fixedly installed on the inner wall at the midpoint of the vertical sliding groove (6), and a first symmetric plate assembly (4) and a second symmetric plate assembly (5) are also arranged in the vertical sliding groove (6). A plurality of curved bars (16) symmetric about the symmetric center plate (7) are connected between the first symmetric plate assembly (4) and the second symmetric plate assembly (5), and mechanisms for adjusting the curved bars (16) are arranged in the first symmetric plate assembly (4), the second symmetric plate assembly (5), and the symmetric center plate (7); The first symmetric plate assembly (4) includes an upper plate one (8) and a lower plate one (9) symmetrically arranged above and below the symmetric center plate (7). The second symmetric plate assembly (5) includes an upper plate two (12) and a lower plate two (13) symmetric about the symmetric center plate (7). The upper plate one (8) and the upper plate two (12) are both arranged above the symmetric center plate (7), and the lower plate one (9) and the lower plate two (13) are both arranged below the symmetric center plate (7). The upper plate two (12) and the lower plate two (13) are respectively arranged at the top and bottom ends of the vertical sliding groove (6); The symmetric center plate (7), the upper plate one (8), the lower plate one (9), the upper plate two (12), and the lower plate two (13) are parallel and of equal length vertically. An arc-shaped clamping groove (22) of equal length vertically and symmetric about the symmetric center plate (7) is formed in the semi-circular arc plate (3). A long hole communicating with the arc-shaped clamping groove (22) is formed in the inner wall of the vertical sliding groove (6). T-shaped clamping members (23) clamped in the arc-shaped clamping groove (22) are fixedly installed on the outer walls of the end faces of the upper plate one (8), the lower plate one (9), the upper plate two (12), and the lower plate two (13). The upper plate one (8), the lower plate one (9), the upper plate two (12), and the lower plate two (13) are all slidably arranged in the vertical sliding groove (6) through the T-shaped clamping members (23) and are all in contact with the inner wall of the vertical sliding groove (6); A vertically penetrating square hole (24) is formed in the outer wall at the top of the port where the symmetric center plate (7) is correspondingly installed in the vertical sliding groove (6). A gear two (25) and a gear one (26) arranged in parallel are rotatably installed in the square hole (24) corresponding to the midpoint of the vertical sliding groove (6). The first symmetric plate assembly (4) further includes two sets of rack plates one (10). A set of rack plates one (10) is fixedly installed on the outer wall at the bottom of the upper plate one (8) above the gear one (26). A set of rack plates one (10) is fixedly installed on the outer wall at the top of the lower plate one (9) below the gear one (26). The two sets of rack plates one (10) are centrosymmetric about the center of the gear one (26), and the two sets of rack plates one (10) both extend into the square hole (24) and are engaged with the gear one (26).

2. The higher mathematics curved surface demonstration teaching aid according to claim 1, characterized in that: The second symmetric plate assembly (5) further includes two groups of second rack plates (15). Through rectangular through-holes (27) are formed in the symmetric sides of the upper plate one (8) and the lower plate one (9) corresponding to the installation positions of the first rack plates (10). A group of second rack plates (15) is fixedly installed on the outer wall of the bottom of the upper plate two (12) above the corresponding second gear (25), and a group of second rack plates (15) is fixedly installed on the outer wall of the top of the lower plate two (13) below the corresponding second gear (25). The two groups of second rack plates (15) are centrosymmetric about the center of the second gear (25), and the two groups of second rack plates (15) respectively penetrate through the upper plate one (8) and the lower plate one (9) through the rectangular through-holes (27). The two groups of second rack plates (15) extend into the square holes (24) and mesh with the second gear (25).

3. The advanced mathematics surface demonstration teaching aid according to claim 1, characterized in that: Through transverse slots (19) of equal length are formed in the outer walls of the tops of the symmetric center plate (7), the upper plate one (8), the lower plate one (9), the upper plate two (12) and the lower plate two (13). The mechanism of the symmetric center plate (7) for adjusting the curve bar (16) includes a threaded lead screw (17) and a nut seat (18). The threaded lead screw (17) is threadedly connected to the symmetric center plate (7) at the midline corresponding to the transverse slot (19). The end of the threaded lead screw (17) is rotatably installed on the inner wall of the side of the transverse slot (19) close to the vertical sliding slot (6). The other end of the threaded lead screw (17) extends out of the end face outer wall of the symmetric center plate (7). The nut seat (18) is threadedly sleeved on the outer wall of the threaded lead screw (17) corresponding to the position in the transverse slot (19).

4. A teaching aid for demonstrating surfaces in advanced mathematics according to claim 3, characterized in that: The mechanism for adjusting the curve bar (16) in the first symmetric plate assembly (4) includes a first pull rod (11) and a connecting column (21). The mechanism for adjusting the curve bar (16) in the second symmetric plate assembly (5) includes a second pull rod (14) and a connecting column (21). Horizontal sliding grooves (20) that are connected to and of the same length as the transverse groove (19) are provided on the outer side walls of the same side of the first upper plate (8) and the first lower plate (9). Horizontal sliding grooves (20) that are connected to and of the same length as the transverse groove (19) are also provided on the outer side walls of the same side of the second upper plate (12) and the second lower plate (13). The horizontal sliding groove (20) provided on the first upper plate (8) and the horizontal sliding groove (20) provided on the second upper plate (12) are on the opposite sides. Magnetic strips are attached to the inner walls of the bottoms of the horizontal sliding grooves (20). And in each group of horizontal sliding grooves (20), a group of iron connecting columns (21) extending in the transverse groove (19) are slidably clamped through the magnetic strips. An integrated circular clamping block is provided at the end of the connecting column (21) facing away from the transverse groove (19). T-shaped sliding grooves (29) adapted to the ends of the connecting columns (21) are provided in both the first pull rod (11) and the second pull rod (14). The connecting column (21) is clamped in the T-shaped sliding groove (29) through the circular clamping block and is slidably connected to the first pull rod (11) and the second rack plate (15). The connecting column (21) in the first upper plate (8) and the first lower plate (9) is connected to the vertical first pull rod (11). The connecting column (21) in the second upper plate (12) and the second lower plate (13) is connected to the vertical second pull rod (14).

5. The teaching aid for demonstrating surfaces in advanced mathematics according to claim 4, characterized in that: A group of curve bars (16) are fixedly connected between the connecting columns (21) on the first upper plate (8) and the second upper plate (12). A group of curve bars (16) are fixedly connected between the connecting column (21) on the first upper plate (8) and the nut seat (18) on the symmetric center plate (7). A group of curve bars (16) are fixedly connected between the nut seat (18) on the symmetric center plate (7) and the connecting column (21) on the first lower plate (9). A group of curve bars (16) are fixedly connected between the first lower plate (9) and the second lower plate (13). And the curves formed by the two groups of curve bars (16) above the symmetric center plate (7) are vertically symmetric to the curves formed by the two groups below the symmetric center plate (7).

6. The higher mathematics surface demonstration teaching aid according to claim 1, characterized in that: The curve bar (16) is composed of multiple groups of arc-shaped elastic bars (28). Every two groups of arc-shaped elastic bars (28) are hinged together at the head and tail to form an S shape. Two groups of arc-shaped elastic bars (28) that form the S shape are respectively hinged to two other groups of arc-shaped elastic bars (28) that form the S shape at the midpoints.

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