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1 . 已知圆M的方程为
,直线l的方程为
,点P在直线l上,过P点作圆M的切线
,
,切点为A,B.
(1)若
,试求点P的坐标;
(2)求证:经过A,P,M三点的圆必过定点,并求出所有定点的坐标;
(3)设线段
的中点为N,求点N的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa9dd4d452ba05247ea59caf9ad9fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f52cb58b6bc5d71030463ba7e28134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15b82151bff7cc0238d2034a6129f0.png)
(2)求证:经过A,P,M三点的圆必过定点,并求出所有定点的坐标;
(3)设线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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