证明线段全等（变换几何练习）

几何画板及绘图内容加载中，请稍等……

2016-10-07 03:29

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① 本范例演示如何利用几何变换（旋转和平移）来证明两条线段全等，是一个交互式变换几何练习。② 核心数学概念包括线段全等、旋转变换、平移变换、三角形全等判定以及内切圆与优化问题的关联，同时涉及体积和标准差等拓展主题。③ 作图要点：使用GeoGebra命令Point、Segment、Max、PointIn、Circle构造点A、B、线段f、a、b，以及点C、线段c、点D、线段g，通过旋转或平移操作比较线段长度，并利用内切圆辅助验证。④ 适合中学几何课堂或自学，用于理解变换在证明全等中的直观作用，也可作为教师演示工具。

GeoGebra 命令及参数

Point(xAxis) → A
Segment(A, B) → f
Max(x(A), x(B)) → a
PointIn(b) → C
Circle(C, f) → c
Point(c) → D
Segment(C, D) → g