重合的弧线——贾斯特罗错觉的几何构造
2019-07-25 05:32
本范例通过 GeoGebra 几何作图演示贾斯特罗错觉（Jastrow Illusion）。利用 Circle、CircleArc 命令构造两段完全相同的圆弧，再通过 Translate（平移）与 Rotate（旋转）变换将两段弧线叠合，直观验证它们在几何上全等。当两段弧线上下排列时，由于视觉错觉，上方弧线看似较短；但通过动画操作使其重合后，可清晰看到二者长度与曲率完全一致。该范例融合圆的构造、交点求解、线段绘制及刚体变换等核心几何操作，适合用于讲解全等概念、几何变换以及数学与视觉感知的交叉主题。
所属专题
数学之美：GeoGebra互动数学资源集
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