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解题方法
1 . 已知椭圆
:
(
).
(1)若椭圆
的焦距为6,求
的值;
(2)设
,若椭圆
上两点M,N满足
,求点N横坐标取最大值时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6e9badea4fda62bdbfa1ae44107fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
(1)若椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22840186db0afc0e2b2e8915ce79b998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d5450b9ec0e906919efbb87e5a9e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2 . 已知椭圆
的焦点为
,等轴双曲线
的焦点为
,
,若四边形
是正方形,则该椭圆的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa47070e210aaa31b217d8d0e463613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1282962a17a48a18edf733204054d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287adcb739a4890d108dd974358345fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ceb76331f187770e976002b4f1d524.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-04-07更新
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4卷引用:安徽省马鞍山市第二中学2023-2024学年高二上学期期末测试数学试题
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3 . 椭圆
的焦点到双曲线
的渐近线的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c74d6856ae015badbdb7cf2cfb64eb40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9052854f973b06d06be55d9e60922a91.png)
A.![]() | B.![]() | C.3 | D.4 |
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2021-02-27更新
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4 . 已知椭圆
:
,其焦点坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e2c79e90a86e62806a7ec1b0b29621.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-02-09更新
|
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