顶点在正方形对角线上的等腰三角形构成等腰直角三角形
2020-05-05 11:42
本GeoGebra数学范例演示了一个经典的平面几何定理：当等腰三角形的顶点位于正方形的对角线上时，该三角形构成一个等腰直角三角形。通过几何作图工具，构造正方形及其对角线，并在其上选取点构建等腰三角形。利用线段、垂直平分线和角度测量等功能，动态验证该三角形的边长关系与角度特征，直观展示其等腰直角三角形的几何性质。此范例有助于深入理解正方形对角线的对称性以及等腰三角形的几何变换与性质。
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