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[几何] 过两对点作两圆正交,交点的轨迹何时连为一支

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hbghlyj posted 2020-7-9 21:49 |Read mode
2020年7月9日.png
2020年7月9日.png
任意四点A,B,C,D,过A,B作圆O,过C,D作圆O',使两圆正交于P,Q,问:P或Q的轨迹何时连为一支
一些小结论:
当O点远离时,圆O趋于直线AB,P或Q的轨迹趋于过A,B且圆心在CD上的圆
同理当O'远离时,P或Q的轨迹趋于过C,D且圆心在AB上的圆

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