Dynamic demonstration teaching aid based on Dandelin model

Abstract

The invention relates to the field of mathematics demonstration teaching aids, in particular to a dynamic demonstration teaching aid based on a Dandelin model. The teaching aid comprises a first ball; a first conical barrel, which sleeves the first ball; and a second ball, which is mounted in the first conical barrel. The first conical barrel is further provided with an elliptical line in the conic curve, and the plane where the elliptical line is located is tangent to the first ball and the second ball. An elliptical track observation mechanism comprises a sliding rope, a connecting ring, a first magnet and a second magnet, two ends of the sliding rope are hinged to tangent points of the elliptical line plane and the first and second balls, the sliding rope penetrates through the connecting ring, the connecting ring is fixedly connected with the first magnet, and the first magnet and the second magnet are arranged on the elliptical line in an inside-outside opposite mode. Through the use of the elliptical track observation mechanism, the conical curve is visually observed to conform to the first definition of the ellipse; and the sliding rope hinging points are staggered up and down, so that the technical problem that the sliding rope is knotted at the two ends of the elliptical line is solved, and the science popularization of topology knowledge is provided for students.

Description

technical field [0001] The invention relates to the field of mathematics demonstration teaching aids, in particular to a dynamic demonstration teaching aid based on the Dandelin model. Background technique [0002] High school conic curves have very high requirements for students' spatial imagination and calculations. During the teaching, it was found that most of the students' performance in these two chapters was not optimistic. In actual teaching, many teachers directly use definitions to start problem-solving teaching. After learning a chapter, many students still have unclear concepts about the relationship between ellipses and cones in the title "Conic Sections". When using teaching aids to draw an ellipse according to the first definition of an ellipse, drawing the two ends of the ellipse will easily cause the rope on the teaching aids to become knotted. [0003] In 1822, the mathematician Dan Delin introduced the double sphere to prove the essential relationship bet...

AI Technical Summary

Problems solved by technology

[0004] Although the Dandelin model is of great significance to teaching, the Dandelin model is only a model built on drawings, and there is currently a lack of entities in the market

However, the models on the drawings cannot play a very good teaching effect for students with insufficient comprehension ability.

And even if a simple Dandelin model is made, it is still difficult for students to understand the conic section due to the lack of corresponding auxiliary lines and auxiliary tools

Images