已知椭圆
:
两个焦点之间的距离为
,且其离心率为
.
(Ⅰ) 求椭圆
的标准方程;
(Ⅱ) 若
为椭圆
的右焦点,经过椭圆的上顶点
的直线与椭圆另一个交点为
,且满足
,求
外接圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(Ⅰ) 求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faabbc3f2a1c20453dec698739117ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
12-13高二上·浙江温州·单元测试 查看更多[1]
(已下线)2011-2012学年浙江省瑞安市瑞祥高级中学高二第一学期期末考试文科数学
更新时间:2016-12-01 16:34:35
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解答题-问答题
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适中
(0.65)
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【推荐1】已知圆
过
,
两点,且圆心
在
上.
(1)求圆
的方程;
(2)设
是直线
上的动点,
、
是圆
的两条切线,
、
为切点,求四边形
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50760b9ffbb5ebd6dbd122c1ecf81690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380b44e49a645fbb4108cbec12b09ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6274852e643a635e7340efa732edddc4.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aacc0092b7cf6df769b0ac128e81c582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec51d1ad99e9e93296c43ed1b2b8ed5e.png)
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【推荐2】
(1)在平面直角坐标系
中,直线
与圆
相切于点
,圆心
在直线
上. 求圆
的方程;
(2)已知圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
与圆
:
相交,求实数
的取值范围.
(1)在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b78b98443d32512ddcfe86aefd507db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a20a61d384b658080b92d8c1a9e7c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4407788e4dc88210bca71a2551d4f2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5bb926a7c9f6cf3efb1da32873bc108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e854e67ba30926233f58f47f97b31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】已知椭圆C的中心在原点,对称轴为坐标轴,且过点
和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fc12a328d2b452795c494e0a4b4b3c.png)
(1)求椭圆C的标准方程;
(2)求直线
和椭圆C的公共点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fc12a328d2b452795c494e0a4b4b3c.png)
(1)求椭圆C的标准方程;
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45db7d729af41f3ad2caf4c4e1b224d3.png)
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【推荐2】已知点A(2,0),![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f6558fef858bf27e9811c2d9426fe7.png)
.P为
上的动点,线段BP上的点M满足|MP|=|MA|.
(1)求点M的轨迹C的方程;
(2)过点B(-2,0)的直线
与轨迹C交于S、T两点,且
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f6558fef858bf27e9811c2d9426fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d641994c5e4880e9f63a7852d19e50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f6558fef858bf27e9811c2d9426fe7.png)
(1)求点M的轨迹C的方程;
(2)过点B(-2,0)的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79096b01b6d3306dd5ec2449a9555472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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