Improved hyperbolic tunnel science popularization teaching aid

Abstract

The utility model discloses an improved hyperbolic tunnel science popularization teaching aid, which comprises a hyperbolic assembly and a rotating shaft, the hyperbolic assembly comprises two section plates, the two section plates are respectively provided with hyperbolic tunnels, the hyperbolic tunnels are symmetrically arranged by taking the rotating shaft as the center, the two section plates are fixed through the rotating shaft perpendicular to the horizontal plane, and the hyperbolic tunnels are fixed through the rotating shaft. A straight rod is arranged on the rotating shaft and rotates with the rotating shaft as the center. By utilizing the property of a hyperbolic surface, the three-dimensional shape of an object in a three-dimensional space is displayed by cutting and bending a telescopic material according to a series of preset curve shapes, and people can observe the shapes of the object at different angles in the three-dimensional space and the change of the object on the hyperbolic surface by placing the object on a hyperbolic groove. The display mode can help people to better understand the shape and the spatial relationship of the object.

Description

Technical Field

[0001] The utility model relates to the technical field of demonstration teaching aids, in particular to an improved hyperbolic tunnel popular science teaching aid. Background Art

[0002] Advanced mathematics is an important basic subject in colleges and universities. Many subjects are inseparable from advanced mathematics. Advanced mathematics has its inherent characteristics, which are high abstraction, strict logic and wide applicability. Abstraction and computation are the most basic and most significant characteristics of mathematics. Only with high abstraction and unity can we deeply reveal its essential laws and make it more widely used. Especially in modern times, the emergence and popularization of electronic computers have broadened the application field of mathematics. Modern mathematics is becoming a powerful driving force for the development of science and technology. At the same time, it has also penetrated widely and deeply into the field of social sciences. In the teaching of advanced mathematics, due to the abstractness of many concepts, especially the surface part in advanced mathematics, single-leaf hyperbolic teaching aids are needed. Hyperbolic surface is a quadratic surface, which is divided into single-leaf hyperbolic surface, double-leaf hyperbolic surface and rotational hyperbolic surface.

[0003] A hyperbolic surface is a geometric shape consisting of two surfaces with opposite curvatures. In a hyperbolic groove, the curve is the result of unfolding the hyperbolic surface. This means that in a hyperbolic groove, any cross section is a hyperbola, and the entire curve is a hyperbola at infinity.

[0004] Chinese patent document CN107671414A discloses a "Hyperboloid Explanation Demonstration Teaching Aid for Advanced Mathematics". A rotating table is plugged into the top of the base, a support rod is fixed to the top of the vertical rod, a movable head is plugged into the other end of the support rod, a busbar rod is provided at the other end of the movable head, the side wall of the busbar rod is connected to the busbar through a telescopic rod, a connecting piece is provided at the bottom of the busbar rod, opposite screw holes are provided at the top of the rotating table, the inner cavity of the screw hole is screwed with a hexagonal screw, a screw is provided at one end of the cross rod, and a screw hole matching the screw is provided on the rotating table, a positioning screw hole is provided on the outer wall of the screw, a groove block is fixed to one end of the shaft rod, a movable plate is screwed to the inner cavity of the groove block through a screw, a clamp is provided at one end of the movable plate, and a hanging hole is provided on the positioning plate. The above technical scheme is difficult to intuitively display the hyperbolic characteristics of the hyperboloid section. Summary of the invention

[0005] The utility model mainly solves the technical problem that the original technical solution is difficult to intuitively display the hyperbolic characteristics of the hyperbolic cross-section, and provides an improved hyperbolic tunnel science popularization teaching aid. It utilizes the properties of the hyperbola to display the three-dimensional form of the object in three-dimensional space by cutting and bending retractable materials according to a series of preset curve shapes, and uses straight light bands and circular light bands to show the lines of the hyperbola and its formation during the passing process.

[0006] The above technical problems of the utility model are mainly solved by the following technical solutions: the utility model includes a hyperbolic surface component and a rotating shaft, the hyperbolic surface component includes two section plates, the two section plates are respectively provided with hyperbolic tunnels, the hyperbolic tunnels are symmetrically arranged with the rotating shaft as the center, the two section plates are fixed by a rotating shaft vertical to the horizontal plane, a straight rod is arranged on the rotating shaft, and the straight rod rotates with the rotating shaft as the center. By utilizing the properties of the hyperbolic surface, the three-dimensional form of the object in the three-dimensional space is displayed by cutting and bending the retractable material according to a series of preset curve shapes, and by placing the object on the hyperbolic groove, people can observe the form of the object at different angles in the three-dimensional space, as well as its changes on the hyperbolic surface. This display method can help people better understand the shape and spatial relationship of the object.

[0007] Preferably, the bottom of the rotating shaft is vertically connected to a base, and a platform is horizontally provided on the upper surface of the base.

[0008] Preferably, the cross-section plate is perpendicular to the platform along the rotation axis. The cross-section plate is perpendicular to the platform to show the state of the hyperbolic surface when it passes through a cross section perpendicular to the horizontal plane.

[0009] Preferably, the two cross-sectional plates are respectively provided with hyperbolic tunnels, which are symmetrically arranged with the rotation axis as the center. The hyperbolic tunnels on the two cross-sectional plates are symmetrically arranged and cooperate with each other so that the straight rod can pass smoothly.

[0010] Preferably, the hyperbolic tunnel has vertical control points arranged from top to bottom along the edge. The vertical control points arranged from top to bottom along the edge of the hyperbolic tunnel are used to show the cross-sectional state of the hyperbola passing through the cross section during the process of the straight rod rotating to form a hyperbolic surface.

[0011] Preferably, the vertical sub-control points are arranged in pairs with the rotation axis as the center, and a straight light belt is arranged between each pair of vertical sub-control points. When the straight rod passes through the hyperbolic tunnel, the main controller drives to light up the straight light belts one by one from above to display the horizontal cutting surface.

[0012] Preferably, a horizontal sub-control point is provided at a position where the vertical sub-control point is vertically projected onto the platform. The horizontal sub-control point is used to display the cross-sectional state of the vertical angle during the process of the straight rod rotating to form a hyperboloid.

[0013] Preferably, the horizontal sub-control points are arranged in pairs with the rotation axis as the center, and a circle is drawn with the line between each pair of horizontal sub-control points as the diameter, and a circular light belt is provided. When the straight rod passes through the hyperbolic tunnel, the main controller drives to light up the circular light belts one by one from the outside to the inside, showing the three-dimensional surface of the hyperbola and the relationship between the strip surfaces.

[0014] Preferably, a shaft is provided with a collar, the straight rod is tilted and fixed by the collar, and the straight rod passes through the hyperbolic tunnel when rotating along the shaft. The shaft cooperates with the collar to realize the adjustment and rotation of the straight rod.

[0015] Preferably, a master controller is provided inside the base, and a starting controller is provided at the top of the straight rod. The master controller is the master switch of the first starting sub-controller and all sub-controllers.

[0016] The beneficial effects of the utility model are as follows: utilizing the properties of the hyperbolic surface, by cutting and bending the retractable material according to a series of preset curve shapes, the three-dimensional shape of the object in the three-dimensional space is displayed; by placing the object on the hyperbolic groove, people can observe the shape of the object at different angles in the three-dimensional space, as well as its changes on the hyperbolic surface; this display method can help people better understand the shape and spatial relationship of the object. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] Figure 1 It is a structural schematic diagram of the utility model.

[0018] In the figure, 1 is a hyperbolic surface component, 2 is a hyperbolic tunnel, 3 is a straight rod, 4 is a main controller, 4A is a starting controller, 5 is a vertical sub-control point, 5A is a straight light belt, 6 is a horizontal sub-control point, 6A is a circular light belt, 7 is a machine base, 8 is a platform, 9 is a rotating shaft, and 9A is a shaft ring. DETAILED DESCRIPTION

[0019] In order to make the purpose, technical solution and advantages of the present invention more clearly understood, the technical solution of the present invention is further described in detail below through embodiments and in combination with the accompanying drawings. It should be understood that the specific implementation method described here is only an optimal embodiment of the present invention, which is only used to explain the present invention and does not limit the scope of protection of the present invention. All other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0020] Before discussing the exemplary embodiments in more detail, it should be mentioned that some exemplary embodiments are described as processes or methods depicted as flow charts. Although the flow charts describe the operations (or steps) as sequential processes, many of the operations (or steps) therein can be implemented in parallel, concurrently, or simultaneously. In addition, the order of the operations can be rearranged. The process can be terminated when its operation is completed, but can also have additional steps not included in the drawings; the process can correspond to a method, function, procedure, subroutine, subprogram, etc.

[0021] The technical solution of the utility model is further specifically described below through embodiments and in conjunction with the accompanying drawings.

[0022] Embodiment: An improved hyperbolic tunnel popular science teaching aid of this embodiment, such as Figure 1 As shown, it includes a hyperbolic component and a machine base. A platform is horizontally arranged on the upper surface of the machine base. The hyperbolic component is fixed by a rotating shaft that is vertically arranged on the platform. A straight rod is arranged on the rotating shaft, and the straight rod rotates around the rotating shaft. A shaft ring is arranged on the rotating shaft, and the straight rod is tilted and fixed by the shaft ring. When the straight rod rotates along the rotating shaft, it passes through the hyperbolic tunnel. The rotating shaft cooperates with the shaft ring to realize the adjustment and rotation of the straight rod. A master controller is arranged inside the machine base, and a starting controller is arranged at the top of the straight rod. The master controller is the master switch of the first starting sub-controller and all sub-controllers.

[0023] By utilizing the properties of hyperbolic surfaces, stretchable materials are cut and bent according to a series of preset curve shapes to display the three-dimensional form of objects in three-dimensional space. By placing objects on the hyperbolic groove, people can observe the shapes of the objects at different angles in three-dimensional space, as well as their changes on the hyperbolic surface. This display method can help people better understand the shapes and spatial relationships of objects.

[0024] The hyperboloid assembly includes two section plates, which are symmetrically arranged with the rotation axis as the center. The two section plates are generally transparent and are used to express the cross-sectional state of the hyperbola. The section plates are along the rotation axis and perpendicular to the platform. The section plates are perpendicular to the platform and are used to show the state of the hyperboloid when it passes through a section perpendicular to the horizontal plane.

[0025] The two section plates are respectively provided with hyperbolic tunnels, which are symmetrically arranged with the rotation axis as the center. The hyperbolic tunnels on the two section plates are symmetrically arranged, and cooperate with each other so that the straight rod can pass smoothly.

[0026] The hyperbolic tunnel has vertical control points arranged from top to bottom along the edge. The vertical control points arranged from top to bottom along the edge of the hyperbolic tunnel are used to show the cross-sectional state of the hyperbola passing through the cross section during the process of the straight rod rotating to form a hyperbolic surface. The vertical control points are symmetrical with the rotation axis as the center, and a straight light band is set between each pair of vertical control points.

[0027] When the straight rod passes through the hyperbolic tunnel, the main controller drives to light up the straight light strips one by one from the top to show the horizontal cutting surface. The horizontal sub-control points are set at the positions where the vertical sub-control points are projected vertically onto the platform. The horizontal sub-control points are used to show the cross-sectional state of the vertical angle during the process of the straight rod rotating to form a hyperbolic surface.

[0028] Horizontal sub-control points are arranged in pairs with the axis of rotation as the center, and a circle is drawn with the line between each pair of horizontal sub-control points as the diameter, and a circular light belt is provided. When the straight rod passes through the hyperbolic tunnel, the main controller drives and lights up the circular light belts one by one from the outside to the inside, showing the three-dimensional surface of the hyperbola and the relationship between the strips and surfaces.

[0029] Higher mathematics is an important basic subject in colleges and universities. Many subjects are inseparable from higher mathematics. Higher mathematics has its inherent characteristics, which are high abstraction, strict logic and wide applicability. Abstraction and computation are the most basic and most significant characteristics of mathematics. Only with high abstraction and unity can we deeply reveal its essential laws and make it more widely used. Especially in modern times, the emergence and popularization of electronic computers have broadened the application field of mathematics. Modern mathematics is becoming a powerful driving force for the development of science and technology. At the same time, it has also penetrated widely and deeply into the field of social sciences. In the teaching of higher mathematics, due to the abstraction of many concepts, especially the surface part in higher mathematics, single-leaf hyperbolic teaching aids are needed. Hyperbolic surface is a quadratic surface, which is divided into single-leaf hyperbolic surface, double-leaf hyperbolic surface and rotational hyperbolic surface. Imagine a hyperbola, whose real axis contains the two foci of the hyperbola, and the imaginary axis is the median of the two foci. Rotating this hyperbola around the real axis can obtain a rotational double-leaf hyperbolic surface. Rotating this hyperbola around the imaginary axis can obtain a rotational single-leaf hyperbolic surface.

[0030] According to the singleness of the popular science product of hyperbolic surface, although it can show some properties of hyperbola, it is difficult for people to understand that a straight rod can pass through two curved surfaces. In order to better understand the result of this shape, a straight light strip and a circular light strip are specially designed to show how its lines and the lines of the straight rod are formed when passing through the curved surface.

[0031] The components include:

[0032] Hyperbolic assembly: It is an overall structure of a hyperbolic surface with straight rods and hyperbolic tunnels on it.

[0033] Hyperbolic tunnel: For design requirements, the straight rod can pass through the groove of the hyperbolic track. The track is equipped with a controller and a sub-controller to light up the light strip and aperture. There should be two, one on the left and one on the right, and sub-control points are set on the side of the hyperbolic track.

[0034] Straight rod: connected to the shaft sleeve, a rod connected to the drill sleeve has multiple sensing points. According to the design requirements, it can pass through the hyperbolic track, and start the master control and sub-controller, and you can intuitively see the straight rod passing through the curved track.

[0035] Main controller: The main controller is the main switch for the first sub-controller and all sub-controllers.

[0036] Vertical sub-control points: The sub-control points are arranged on the curved track from top to bottom. After sensing, the straight light strips will be lit one by one.

[0037] Straight light band: When the straight rod passes through, the driver lights up the straight light bands one by one from the top to show the horizontal cutting surface.

[0038] Horizontal sub-control points: After lighting up the sub-control points of the curved track on the platform one by one, the corresponding circular light bands and straight light bands can be clearly seen, and the shape of the curve that the straight rod passes through and the relationship between points, lines and surfaces.

[0039] Circular light band: When the straight rod passes through the curved track, the straight light band and the circular light band are displayed simultaneously. The three-dimensional surface of the hyperbola shows the relationship between the strip surface.

[0040] Base: The base of the entire device.

[0041] Platform: A circular light strip installed on a flat surface.

[0042] Pivot: The pivot can be rotated to connect the shaft ring.

[0043] Collar: A device to which a straight rod is attached.

[0044] When the straight rod is rotated, the first trigger point at the front end of the straight rod triggers the master control, and when the rest of the straight rod follows the front end of the straight rod and enters the track again, the trigger points on the track are triggered one by one according to the design, and different light strips are gradually lit along the track of the straight rod. A certain line will instantly form a light strip from top to bottom or a cross section from bottom to top.

[0045] Design the points in the lower part, starting from the center circle, and light up in sequence according to the first sensing point of the sleeve. At the same time, when the circular light band of the platform below is lit, it will follow a light spot above, gradually showing from small to large, a bottom and a full circle of three-dimensional sense. In this way, you can understand the principle of hyperbola very well, and also understand the application of hyperbola.

[0046] Popular Science Product An improved hyperbolic tunnel popular science teaching aid is a tool for displaying the three-dimensional shape of an object, and the principle is based on the properties of a hyperbolic surface.

[0047] First of all, a hyperbolic surface is a geometric shape composed of two surfaces with opposite curvatures. In a hyperbolic groove, the curve is the result of the hyperbolic surface being unfolded. This means that in a hyperbolic groove, any cross section is a hyperbola, and the entire curve is a hyperbola at infinity.

[0048] Hyperbolic grooves are created by cutting a stretchable material, such as plastic or metal, along a series of pre-set curved shapes. When the material is stretched or compressed, it bends along these curved shapes, forming a three-dimensional hyperbolic surface.

[0049] In the popular science display, by placing an object on a hyperbolic groove, people can observe the shape of the object at different angles in three-dimensional space and its changes on the hyperbolic surface. This display method can help people better understand the shape and spatial relationship of the object.

[0050] In short, the principle of the popular science product hyperbolic trough is to utilize the properties of the hyperbolic surface to display the three-dimensional form of the object in three-dimensional space by cutting and bending the retractable material according to a series of preset curve shapes.

[0051] A person of ordinary skill in the art can understand that all or part of the steps in the various methods of the above embodiments can be completed by instructing related hardware through a program, and the program can be stored in a computer-readable storage medium, and the storage medium may include: a read-only memory (ROM), a random access memory (RAM), a disk or an optical disk, etc.

[0052] The specific embodiments described herein are merely examples of the spirit of the present invention. The above embodiments only express several implementation methods of the present invention, and the descriptions thereof are relatively specific and detailed, but they cannot be understood as limiting the scope of the patent of the present invention. It should be pointed out that technicians in the technical field to which the present invention belongs can make various modifications or supplements to the described specific embodiments or replace them in a similar manner, but will not deviate from the spirit of the present invention or exceed the scope defined in the attached claims. For ordinary technicians in this field, multiple deformations and improvements can also be made without departing from the concept of the present invention. Therefore, the scope of protection of the patent of the present invention shall be based on the attached claims.

Claims

1. An improved hyperbolic tunnel popular science teaching aid, characterized in that: The invention comprises a hyperbolic surface component (1) and a rotating shaft (9), wherein the hyperbolic surface component (1) comprises two cross-sectional plates, wherein the two cross-sectional plates are respectively provided with a hyperbolic tunnel (2), wherein the hyperbolic tunnel (2) is symmetrically arranged with the rotating shaft (9) as the center, wherein the two cross-sectional plates are fixed by the rotating shaft (9) which is perpendicular to the horizontal plane, wherein a straight rod (3) is arranged on the rotating shaft (9), and wherein the straight rod (3) rotates with the rotating shaft (9) as the center.

2. The improved hyperbolic tunnel popular science teaching aid according to claim 1, characterized in that: The bottom of the rotating shaft (9) is vertically connected to the base (7), and the upper surface of the base (7) is horizontally provided with a platform (8).

3. The improved hyperbolic tunnel popular science teaching aid according to claim 2, characterized in that: The cross-section plate is along the direction of the rotation axis (9) and perpendicular to the platform (8).

4. The improved hyperbolic tunnel popular science teaching aid according to claim 1, characterized in that: The hyperbolic tunnel (2) is provided with vertical sub-control points (5) arranged from top to bottom along the edge.

5. The improved hyperbolic tunnel popular science teaching aid according to claim 4, characterized in that: The vertical sub-control points (5) are arranged in pairs and are symmetrical with the rotating shaft (9) as the center. A straight light band (5A) is arranged between each pair of vertical sub-control points (5).

6. The improved hyperbolic tunnel popular science teaching aid according to claim 4, characterized in that: A horizontal sub-control point (6) is provided at a position where the vertical sub-control point (5) is vertically projected onto the platform (8).

7. The improved hyperbolic tunnel popular science teaching aid according to claim 6, characterized in that: The horizontal sub-control points (6) are arranged in pairs with the rotating shaft (9) being symmetrical, and a circle is drawn with the connecting line between each pair of horizontal sub-control points (6) as the diameter, and a circular light band (6A) is provided.

8. The improved hyperbolic tunnel popular science teaching aid according to claim 1, characterized in that: The rotating shaft (9) is provided with a shaft ring (9A), and the straight rod (3) is tilted and fixed by the shaft ring (9A). When the straight rod (3) rotates along the rotating shaft (9), it passes through the hyperbolic tunnel (2).

9. The improved hyperbolic tunnel popular science teaching aid according to claim 2, characterized in that: A main controller is arranged inside the machine base (7), and a starting controller (4A) is arranged at the top end of the straight rod (3).

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