古希腊数学家阿波罗尼斯在他的巨著《圆锥曲线论》中有一个著名的几何问题:在平面上给定不同两点A、B,动点P满足
(其中
是正常数,且
),则P的轨迹是一个圆,这个圆称之为“阿波罗尼斯圆”.若
且
,则该圆的半径为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c411fff1dd83ca4c5afca219f4bb541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2f2d7c81cb44416bcdf59419637682.png)
更新时间:2023-05-14 12:02:06
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【推荐1】在平面直角坐标系中,
为坐标原点,
,动点
的轨迹满足
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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【推荐2】已知定点B(3,0),点A在圆x2+y2=1上运动,∠AOB的平分线交线段AB于点M,则点M的轨迹方程是_________ .
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【推荐1】已知直线
与圆
交于
两点,直线
垂直平分弦
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9b11547a6099e4644a45e9ee7fcdbb.png)
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【推荐2】已知圆
和直线
,则与直线l平行且与圆C相切的直线方程为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff2ae4a9f5deb7b22141e591dd5621e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd24deefb02f95db5789514e49e7a952.png)
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