名校
解题方法
1 . 如图,已知圆
,动圆P过点
且与圆
内切于点N,记动圆圆心P的轨迹为E.
![](https://img.xkw.com/dksih/QBM/2022/1/17/2896491209203712/2897153509408768/STEM/a977c1a7-866e-4ced-bdbf-a11e275b263e.png?resizew=237)
(1)求E的方程;
(2)过点
的直线l(不与x轴重合)与E交于A,B两点,点C与点B关于x轴对称,直线AC与x轴交于点Q,已知点
,试问
是否为定值?若是,请求出该定值,若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdce30be741dc229f1c6b7fb86b1bb63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc26e1d9bb89a18781de2de48e5aed85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://img.xkw.com/dksih/QBM/2022/1/17/2896491209203712/2897153509408768/STEM/a977c1a7-866e-4ced-bdbf-a11e275b263e.png?resizew=237)
(1)求E的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dfdecc11875b2e969ddc9c5861e1cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854390524d8a76983fa263094df4a548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0423aaabe32062338cfbb250eb08c8.png)
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2022-01-18更新
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480次组卷
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3卷引用:山东省新泰市第一中学东校2023-2024学年高二上学期第二次质量检测数学试题