动圆与两定圆内外切的几何轨迹探究
2021-01-07 02:31
本 GeoGebra 范例演示了动圆与两个已知定圆分别发生外切与内切时的几何关系与轨迹变化。通过调整参数，用户可以直观地观察动圆圆心到两定圆圆心的距离关系，以及满足特定相切条件时动圆圆心的运动轨迹。该模型综合运用了圆的定义、距离公式及几何变换（如镜像），是研究圆锥曲线（如椭圆、双曲线定义）及阿波罗尼斯圆问题的经典几何作图案例，适合用于高中解析几何与平面几何的辅助教学。
所属专题
GeoGebra圆锥曲线互动学习资源
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