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巧借阿氏圆,妙解立体几何最值问题

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巧借阿氏圆,妙解立体几何最值问题 JPEG Origin Image Download
公元前3世纪,古希腊数学家阿波罗尼斯在《平面轨迹》一书中,记载了如下著名结论:
平面内到两个定点距离之比为定值(大于0)的点的轨迹为直线或圆
此圆被称为阿波罗尼斯圆,简称阿氏圆