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A Demonstration Device for Advanced Mathematics Rotating Surface

A technology of a rotating surface and a demonstration device, which is applied in the field of teaching appliances, can solve the problems of a single spatial position, a rotating surface that does not have diverse effects, and a single surface shape, etc., and achieves the effect of improving learning interest.

Inactive Publication Date: 2021-04-30
ZHENGZHOU UNIVERSITY OF AERONAUTICS
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0003] Most of the existing teaching devices are relatively rigid, and the spatial position of the curve Γ is single, and the shape of the curved surface is single, so that the formed rotating surface does not have a variety of effects, and cannot stimulate students' enthusiasm for learning and enhance students' understanding of rotating surfaces. understanding, so we urgently need a demonstration device for advanced mathematics to solve the above problems

Method used

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  • A Demonstration Device for Advanced Mathematics Rotating Surface
  • A Demonstration Device for Advanced Mathematics Rotating Surface
  • A Demonstration Device for Advanced Mathematics Rotating Surface

Examples

Experimental program
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Embodiment 1

[0023] Embodiment one, combined with the attached Figure 1-9 , a demonstration device for advanced mathematics rotating surface, comprising a base 1, characterized in that, the base 1 is vertically connected to a vertical rod 2, and the external rotation of the vertical rod 2 is connected to a rotating curved surface device, and the rotating The curved surface device is driven and connected by a driving device installed on the base 1, and the driving device provides rotational power input for the rotating curved surface device. The upper end of the base 1 is connected with X and Y coordinate scales 3 along mutually perpendicular directions, and two sets of coordinates The ruler 3 and the coordinate ruler 3 connected to the vertical bar 2 form a three-dimensional coordinate system of X, Y and Z. The three sets of coordinate systems are convenient for students to better understand the plane formed by them. Of course, these three sets of coordinate systems can interact with each ...

Embodiment 2

[0024] Embodiment two, on the basis of embodiment one, in conjunction with the attached Figure 1-9, the rotating curved surface device includes a power input collar 11 rotatably connected to the vertical bar 2, and the power input collar 11 is connected with a chute 12 arranged radially along the vertical bar 2, and the chute 12 is slidably matched with a slide block 13 along the length direction of the chute 12, and a lead screw 14 threaded through the slide block 13 is connected in the chute 12, and the end of the lead screw 14 extends out of the chute 12 , and a driving handle 15 is connected at the end, turning the driving handle 15 can make the slider 13 move along the direction of the chute 12, thereby changing the position of the slider 13, and the upper end of the slider 13 rotates around the transverse axis and connects a The outer ring 16 is connected with an annular groove with a T-shaped cross section, and the slider 13 is provided with a matching annular track, a...

Embodiment 3

[0025] Embodiment three, on the basis of embodiment two, in conjunction with appended Figure 1-9 , the first detent 17 is threadedly engaged with the slider 13 in a direction perpendicular to one side of the outer ring 16, and the end of the first detent 17 is frictionally fitted with one side of the outer ring 16 to rotate the second One bayonet 17, due to thread fit, the first bayonet 17 will move towards the direction of the outer ring 16, at this time, will limit the relative rotation of the outer ring 16 with respect to the slider 13, the first two groups of Two bayonet pins 19 are respectively screw-fitted on the outer two shaft ends of the rotating shaft of the intermediate ring 18, and the side of the second bayonet pin 19 facing the intermediate ring 18 is connected with multiple groups of rubber balls 21 matched with the outer ring 16 in the circumferential direction, two groups The third bayonet pins 20 are threadedly fitted on the outer two shaft ends of the inner...

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PUM

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Abstract

The invention relates to a demonstration device for advanced mathematics rotating curved surface. The invention cleverly utilizes the bending characteristics of the elastic rod to limit it between two sets of rotationally connected circular rings and incomplete arc rings. By rotating the incomplete arc rings , under the limit action of the limit device, the elastic rod is deformed and bent, thereby obtaining a curved rod-shaped structure with different curvatures. At the same time, three sets of ring structures nested in each other are used to achieve positioning by using the bayonet pin at the end , so that the position of the elastic rod in the ring can be changed arbitrarily in three-dimensional space, so that the structure of the rotating surface obtained by the driving device driving the rotating surface device is ever-changing and diverse, so that students can fully understand and learn, and improve students It lays a solid foundation for students' learning of rotating surfaces and lays a solid foundation for future higher mathematics learning.

Description

technical field [0001] The invention belongs to the technical field of teaching aids, in particular to a demonstration device for advanced mathematics rotating curved surfaces. Background technique [0002] Surface of revolution is an important part of analytic geometry. A surface of revolution is a surface produced by rotating a curve Γ around a fixed line l in space. Among them, the curve Γ is called the generatrix of the surface of revolution. The meridian refers to the intersection of the half-plane passing through the axis l and the surface of revolution. In the study of rotating surfaces, how to accurately understand the generatrix and meridian, and how to judge and distinguish the generatrix and meridian, is the basis for learning the rotating surface. It is also a prerequisite for correct understanding and use of a large number of subsequent formula lines to solve problems. [0003] Most of the existing teaching devices are relatively rigid, and the spatial posit...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G09B23/04
CPCG09B23/04
Inventor 王东晓李自强付志英
Owner ZHENGZHOU UNIVERSITY OF AERONAUTICS
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