名校
1 . 已知椭圆C:
=1(a>b>0)的离心率为
,其内接正方形的面积为4.
(Ⅰ)求椭圆C的标准方程;
(Ⅱ)设M为椭圆C的右顶点,过点
且斜率不为0的直线l与椭圆C相交于P,Q两点,记直线PM,QM的斜率分别为k1,k2,求证:k1k2为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa6ee9b173abc2191c1c19c5392ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f78c38805c09dcfbcc42103308975a74.png)
(Ⅰ)求椭圆C的标准方程;
(Ⅱ)设M为椭圆C的右顶点,过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1dc3354ff37472e07900f0d36fa2dc8.png)
您最近一年使用:0次
2019-04-26更新
|
1959次组卷
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2卷引用:【市级联考】江西省九江市2019届高三第二次高考模拟统一考试文科数学
2 . 已知椭圆C:
的左,右顶点分别是
,
,右焦点为F,直线l:
与以线段
为直径的圆相切.
求椭圆C的离心率;
设点
在椭圆C上,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00df4f17848c072b51e80d427d486e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035a5a88e7e2d6ef2b47d992412a1f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb960b00b7d4985d659b62eb74f470a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de3ac2224cb141632d73e8e3c99226cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab82ae18e526aaf268e3bbd85570b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7b328538de180388d3eb679f44648a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5519b17acc747514e5c027f5c70a87b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caad7f8af78d4e98554576e8481d042f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/bcd11960-63ba-44c0-93d8-ebb165cb1e40.png?resizew=261)
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名校
3 . 已知P是椭圆E:
上异于点
,
的一点,E的离心率为
,则直线AP与BP的斜率之积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f236182642bce92ffb3668b325ea5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7933ce51482d8add3c4142ddeed2b11f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-02-18更新
|
1247次组卷
|
6卷引用:【校级联考】湖南省三湘名校教育联盟2018-2019学年高二上学期期中考试理科数学试题
【校级联考】湖南省三湘名校教育联盟2018-2019学年高二上学期期中考试理科数学试题内蒙古自治区乌兰察布市集宁区内蒙古集宁一中2019-2020学年高二上学期12月月考数学(理)试题海南省海口市琼山区海南中学2019-2020学年高二上学期期中数学试题海南省海南中学2019-2020学年高二上学期期中考试数学试题人教A版(2019) 选择性必修第一册 过关斩将 第三章 圆锥曲线的方程 专题强化练6 椭圆的综合运用(已下线)专题06 圆锥曲线的方程-椭圆的综合运用-2021-2022学年高二数学同步练习和分类专题教案(人教A版2019选择性必修第一册)
解题方法
4 . 已知椭圆
的焦点在
轴上,中心在原点,离心率
,直线
与以原点为圆心,椭圆
的短半轴为半径的圆
相切.
(1)求椭圆
的方程;
(2)设椭圆
的左、右顶点分别为
,点
是椭圆上异于
的任意一点,直线
的斜率分别为
.证明:
为定值.
![](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/dc0f38d3c8749ba5768226a0b23b247c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f61de965b9d38982e5a75af2737e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c40c78e929946729c8ccd4cadf5740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c13c6723ac32355fed35bbb2656180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5b59133bc5714d89a8ebfbf5864db2.png)
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