Surface of revolution demonstration teaching tool

Abstract

The invention discloses a surface of revolution demonstration teaching tool, and mainly relates to the analytic geometry teaching tool field. The teaching tool comprises a base, a torsional rotating mechanism, and a busbar mechanism. The torsional rotating mechanism comprises a lower rotating shaft, a lower connecting rod, an upper rotating shaft, an upper connecting rod, and a control rod. The lower rotating shaft is rotatably disposed on the base, and the lower rotating shaft is driven by a motor disposed in the base. The lower end of the control rod and the lower rotating shaft are fixedly limited by two positions in an axial direction, and an included angle between the two positions is in a range from 20degrees to 80degrees, and the control rod penetrates the upper rotating shaft, and is synchronized with the upper rotating shaft in the axial direction. The upper rotating shaft is vertically connected with the upper connecting rod, and the lower rotating shaft is vertically connected with the lower connecting rod, and in addition, the busbar mechanism is detachably and fixedly disposed between the upper connecting rod and the lower connecting rod. The surface of revolution demonstration teaching tool is advantageous in that students can observe the forming process of the surface of revolution, and the students can compare a meridian line with the busbar conveniently, clearly, and visually, and therefore the students can understand and master related knowledge points quickly.

Description

technical field [0001] The invention relates to the field of analytical geometry teaching aids, in particular to the demonstration teaching aids of 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 formulas to solve problems. However, the busbar is not necessarily a meridian, especially when the busbar is tilted, it is dif...

AI Technical Summary

Problems solved by technology

However, among the existing rotating surface teaching aids, there is no teaching aid that can clearly show the difference between the warp and the busbar, which brings difficulties to teaching

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