来自GeoGebra官网圆柱圆锥相关经典例子

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圆柱的展开

https://www.geogebra.org/m/q5sene4e

圆锥的展开

https://www.geogebra.org/m/yzGzrUxs

两圆柱相交

https://www.geogebra.org/m/xbR6YsNu

椭圆的证明

https://www.geogebra.org/m/uMNKYJgB

平面截圆锥

官网类似https://www.geogebra.org/m/Mm87YMAN

打开geogebra软件的3d绘图区,命令行中依次顺序输入下面代码可得此图
Cone:x^(2)+y^(2)=z^(2)
k=slider(-5,5,0.05)
b = slider(1,3,0.1)
Plane:x+tan(k)(z-b)=b
IntersectPath(Cone,Plane)

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首页地址 https://kz16.top/geogebra/
本文来源 https://kz16.top/geogebra/offiex/cone.html

本文作者: Zhou Bingzhen
声明: 以上可交互图均来自GeoGebra官网,仅供学习和欣赏,不得用于商业。欢迎转载,转载请指明来源。

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