将军饮马问题：利用轴对称求线段和的最小值
2019-04-30 13:36
本范例演示了经典的“将军饮马”几何最值问题。在直线同侧给定两点A和B，利用轴对称变换找到点B关于直线的对称点B'。连接AB'与直线的交点即为所求点P，使得线段PA与PB的长度之和达到最小。通过动态拖动点P，可直观观察线段和的变化，验证当P位于AB'与直线交点时取得最小值。该模型结合了轴对称变换与几何最值优化，帮助深入理解最短路径原理。
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