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解题方法
1 . 已知圆
,点
,P是圆M上的动点,线段PN的中垂线与直线PM交于点Q,点Q的轨迹为曲线C.
(1)求曲线C的方程;
(2)
,点E、F(不在曲线C上)是直线
上关于x轴对称的两点,直线
、
与曲线C分别交于点A、B(不与
、
重合),证明:直线AB过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3eab13918e2a250c9a9eac092e6092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210fec82bf08fa7f0af56e98f568cc20.png)
(1)求曲线C的方程;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f24fb2a9a7c16d20c96c1389e2d3dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce1b066f8869d0ff4513f7a99745125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b0f4398097073abf52b033231ef8c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
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2023-12-27更新
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1188次组卷
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4卷引用:高三数学开学摸底考01(新高考专用)