Elliptical Mongolian circle demonstration teaching aid

Abstract

The utility model discloses an elliptical sun circle demonstration teaching aid, comprising a demonstration panel, the demonstration panel is provided with a circular slide rail I and an ellipse, the circular slide rail I is an elliptical sun circle, the circular slide rail I is provided with at least four vertically arranged sleeve columns I, the central axes of the sleeve columns I fall on the circular slide rail I, and the ellipse is arranged on the circular slide rail I; the lower ends of the sleeve columns I are in sliding connection with the circular sliding rails I, the sleeve columns I are positioned and fixed to the circular sliding rails I through fasteners, annular limiting grooves are formed in the sleeve columns I, and the sleeve columns I are matched with a plurality of elastic ropes I which are connected with the adjacent sleeve columns I and provided with lantern rings. Compared with the prior art, in the teaching of the elliptical Mongolian circle, the teaching preparation time can be shortened, and the understanding rate of students can be improved.

Description

Technical Field

[0001] This utility model belongs to the category of teaching aids, specifically involving a demonstration teaching aid of an elliptical sun circle. Background Technology

[0002] Two perpendicular tangents are drawn through a point outside an ellipse. The locus of the intersection of these two tangents is a circle, called the Monte Carlo circle of the ellipse. In teaching the Monte Carlo circle of an ellipse, the concept is relatively abstract, requiring teachers to employ various methods to aid student understanding. Current methods include: blackboard drawing, which involves repeatedly drawing different combinations of tangents, is time-consuming and lacks precision, leading to low classroom efficiency; wire-welded models or transparent box structures, which can only display fixed geometric shapes and cannot dynamically present the trajectory of tangent movement; and multimedia demonstrations, which are difficult to use and have limited applicability due to equipment investment, software resources, interactivity, and cognitive limitations. Therefore, a demonstration tool for the Monte Carlo circle of an ellipse is needed to shorten preparation time and improve student comprehension. Utility Model Content

[0003] The purpose of this invention is to overcome the problems existing in the teaching of elliptical Montessori circles and to provide an elliptical Montessori circle demonstration teaching aid that can shorten teaching preparation time and improve students' comprehension.

[0004] The technical solution adopted by this utility model to solve its technical problem is as follows: an elliptical Monogram circle demonstration teaching aid, including a demonstration panel, on which a circular slide rail I and an ellipse are provided. The circular slide rail I is an elliptical Monogram circle. At least four vertically arranged sleeves I are provided on the circular slide rail I. The central axis of the sleeves I falls on the circular slide rail I. The lower end of the sleeves I is slidably connected to the circular slide rail I. The sleeves I are positioned and fixed on the circular slide rail I by fasteners. The sleeves I are provided with an annular limiting groove and matched with several elastic ropes I with collars connecting adjacent sleeves I. The ellipse protrudes no more than the circular slide rail I. The height of the sleeves I is 1~3cm and the diameter of the sleeves I is 0.3~0.5cm.

[0005] Optionally, a circular slide rail 2 is provided around the circular slide rail 1. The circular slide rail 2 is concentric with the circular slide rail 1. At least four vertically arranged sleeve posts 2 are provided on the circular slide rail 2. The central axis of the sleeve posts falls on the circular slide rail 2. The lower end of the sleeve post 2 is slidably connected to the circular slide rail 2. The sleeve post 2 is positioned and fixed on the circular slide rail 2 by fasteners. The sleeve post 2 is provided with an annular limiting groove and matched with several elastic ropes 2 with collars connecting adjacent sleeve posts 2. The elliptical protrusion height is not greater than that of the circular slide rail 1. The circular slide rail 1 and the circular slide rail 2 are the same height. The height of the sleeve post 1 and the sleeve post 2 is 1~3cm, and the diameter of the sleeve post 1 and the sleeve post 2 is 0.3~0.5cm.

[0006] The method of using this utility model is as follows: Utilizing the three sleeves I on the circular slide rail I, one sleeve I is positioned and fixed at any point on the circular slide rail I. Using this as the intersection point, two tangents to the ellipse are drawn through the two elastic ropes I and the two sleeves I. Next, the positions of the two sleeves I are fixed, maintaining the tangent state of the two elastic ropes I. Then, the state at the intersection point of the two elastic ropes I is observed. Through observation and verification, it can be seen that the included angle at this intersection point is 90°. This process is repeated at different points to verify the demonstration of "drawing two perpendicular lines through a point outside the ellipse." "A straight tangent, the intersection of two tangents is a point on the Monroe circle"; using the four sleeves I on the circular slide rail I, two elastic ropes I are connected to the sleeves I in pairs to draw two tangents to the ellipse, positioning and fixing the positions of the four sleeves I, maintaining the tangent state of the two elastic ropes I, and then observing the state at the intersection of the two elastic ropes I. By observation, it can be seen that the intersection does not fall on the circular slide rail I. Position different points and repeat the operation to verify, demonstrating a counterexample of "drawing two mutually perpendicular tangents through a point outside the ellipse, the intersection of the two tangents is a point on the Monroe circle".

[0007] The principle of this invention is based on the Monte Carlo theorem for an ellipse. By constructing the dynamic tangent of an ellipse through a cylinder I and an elastic rope, a ternary mapping of "geometric theorem - physical model - perceptual experience" is established, which more intuitively demonstrates the definition of an ellipse Monte Carlo circle and effectively breaks through the abstract cognitive bottleneck in traditional geometry teaching.

[0008] Compared with the prior art, this utility model has at least the following beneficial effects: In teaching the ellipse-based Sun Circle, this utility model can shorten the teaching preparation time and improve the students' comprehension rate. Attached Figure Description

[0009] Figure 1 This is a top view of the structure of this utility model;

[0010] The following are the sub-labels in the attached diagram: Demonstration panel 1, Circular slide rail I 2, Ellipse 3, Sleeve column I 4, Elastic rope I 5, Circular slide rail II 6, Sleeve column II 7, Elastic rope II 8. Detailed Implementation

[0011] Example 1, in conjunction with the following Figure 1To further illustrate this utility model, the elliptical Monogram circle demonstration teaching aid includes a demonstration panel 1. The demonstration panel is provided with some grooves or handles for easy gripping. The demonstration panel is provided with a circular slide rail I 2 and an ellipse 3. The circular slide rail I is an elliptical Monogram circle. The circular slide rail I is provided with at least four vertically arranged sleeves I 4. The demonstration panel, the circular slide rail I, and the sleeves I are made of high-strength plastic (ABS, PC, etc.). The demonstration panel and the circular slide rail I are integrally formed. The central axis of the sleeves I falls on the circular slide rail I. The lower end of the sleeves I is slidably connected to the circular slide rail I. The lower end of the sleeves I and the outer wall of the circular slide rail I are smoothed, or a ball bearing is added between the lower end of the sleeves I and the circular slide rail I. The sleeves I are positioned and fixed on the circular slide rail I by fasteners. The groove of the circular slide rail I can be located at the top or the side of the slide rail, depending on the requirements. When it is located at the top, the groove has a convex cross-section. The lower part of the sleeve I matches the groove, and the sleeve I enters the groove through an installation opening on the circular slide rail I. After entering, the installation opening is sealed by a sealing plate in a snap-fit ​​manner. In this case, the fastener is a key plate, which is inserted into the gap between the sleeve I and the groove to position the sleeve I. When it is located on both sides, the groove has a square cross-section, and the lower part of the sleeve I is a sleeve structure with a slider inside. The lower part of the sleeve I is directly inserted into the circular slide rail I, and the slider is placed in the groove on both sides. In this case, the fastener is a positioning screw, which is threaded to the lower part of the sleeve I, and its bottom end abuts against the outer wall of the circular slide rail I to position the sleeve I. The sleeve I is provided with an annular limiting groove and is matched with several elastic ropes I5 with collars connecting adjacent sleeves I. The limiting groove matches the collar. The elastic ropes I are selected with moderate elasticity. Several sets of elastic ropes I of different lengths can be prepared, with the standard being tautness. The elliptical protrusion height is not greater than that of the circular slide rail I. The height of sleeve I is 1~3cm and the diameter of sleeve I is 0.3~0.5cm.

[0012] To demonstrate the situation where the intersection of the tangents is located outside the Monge circle, a circular slide rail II 6 is provided around the circular slide rail I. The circular slide rail II is concentric with the circular slide rail I. At least four vertically arranged sleeves II 7 are provided on the circular slide rail II. The central axis of the sleeves falls on the circular slide rail II. The lower end of the sleeve II is slidably connected to the circular slide rail II. The sleeves II are positioned and fixed on the circular slide rail II by fasteners. The sleeves II are provided with annular limiting grooves and matched with several elastic ropes II 8 with collars connecting adjacent sleeves II. The elliptical protrusion height is not greater than that of the circular slide rail I. The circular slide rail I and the circular slide rail II are the same height. The height of the sleeves I and II is 1~3cm, and the diameter of the sleeves I and II is 0.3~0.5cm.

[0013] The above description is only a preferred embodiment of the present utility model, but the protection scope of the present utility model is not limited thereto. Any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in the present utility model should be included within the protection scope of the present utility model.

Claims

1. An elliptical sun circle demonstration teaching aid, including a demonstration panel (1), characterized in that: The demonstration panel is provided with a circular slide rail I (2) and an ellipse (3). The circular slide rail I is an elliptical circle. The circular slide rail I is provided with at least four vertically arranged sleeves I (4). The central axis of the sleeves I falls on the circular slide rail I. The lower end of the sleeves I is slidably connected to the circular slide rail I. The sleeves I are fixed on the circular slide rail I by fasteners. The sleeves I are provided with an annular limiting groove and are matched with several elastic ropes I (5) with collars connecting adjacent sleeves I.

2. The elliptical sun-dwelling circle demonstration teaching aid according to claim 1, characterized in that: The height of the elliptical protrusion is no greater than that of the circular slide rail I. The height of sleeve I is 1~3cm, and the diameter of sleeve I is 0.3~0.5cm.

3. The elliptical sun-dwelling circle demonstration teaching aid according to claim 1, characterized in that: A circular slide rail I is surrounded by a circular slide rail II (6). The circular slide rail II is concentric with the circular slide rail I. At least four vertically arranged sleeves II (7) are provided on the circular slide rail II. The central axis of the sleeve falls on the circular slide rail II. The lower end of the sleeve II is slidably connected to the circular slide rail II. The sleeve II is fixed on the circular slide rail II by fasteners. The sleeve II is provided with an annular limiting groove and matched with several elastic ropes II (8) with collars connecting adjacent sleeves II.

4. The elliptical sun-dwelling circle demonstration teaching aid according to claim 3, characterized in that: The elliptical protrusion height is no greater than that of circular slide rail I. Circular slide rail I and circular slide rail II have the same height. The height of sleeve I and sleeve II is 1~3cm, and the diameter of sleeve I and sleeve II is 0.3~0.5cm.

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