来自GeoGebra官网的中小学数学经典例子

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小学

圆周率的推导

来源https://www.geogebra.org/m/tdtXHnCr

梯形面积推导

来源https://www.geogebra.org/m/VTrYdaZt

三角形内外角和

来源https://www.geogebra.org/m/FAhtKpR5

初中

勾股定理

来源https://www.geogebra.org/m/FJqaGQjk

高中

圆锥曲线

来源https://www.geogebra.org/m/f5GyWshq

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本文来源 https://kz16.top/geogebra/offiex/xcg.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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