1 . 已知圆C经过
,
两点,且圆心C在直线l:
上.
(1)求圆C的标准方程;
(2)求过点
且与圆C相切的直线的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a6be776cdd229e5c1339265b23624a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d39bc6cbcef0f45e46b8575d42cb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f52cb58b6bc5d71030463ba7e28134.png)
(1)求圆C的标准方程;
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76095b03d243fead89a6493614e4b68a.png)
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2 . 圆
的圆心在直线
上,且
与
轴、
轴均相切,则
的半径为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e488bcf5c0eacfb5cb27a70038d4f77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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3 . 已知直线
:
上存在点A,使得过点A可作两条直线与圆
:
分别切于点M,N,且
,则实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe31f22a77fd0ad51788f5642d72425d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6b27d48838cb1a42a9c59b3d049a6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7231ec83386010f305e121ce60e23d02.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
4 . 椭圆E的方程为
,短轴长为2,离心率为
.
(1)求椭圆E的方程;
(2)若直线l:
与圆
相切,且与椭圆E交于M,N两点,且
,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
(1)求椭圆E的方程;
(2)若直线l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d86a6026abea99737de584cd5edc55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef74c4299221a967507c6a179337581a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3834dd00dbca1d1ec6729ddbd8647b.png)
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