名校
1 . 如图,点
为椭圆
:
的右顶点,
在椭圆
上,若四边形
为平行四边形,且
,则椭圆
的离心率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/b31a0d55-13c2-489b-ab37-52883d172230.png?resizew=212)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12eb814bb12c2e8d3c6de69a73e972ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1df17440481c8da8e0a17f008dbc4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/b31a0d55-13c2-489b-ab37-52883d172230.png?resizew=212)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-04更新
|
707次组卷
|
3卷引用:2015-2016学年宁夏银川一中高二上学期期中理科数学试卷
名校
2 . 已知方程
表示的曲线是焦点在
轴上且离心率为
的椭圆,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfda0696f276fff4177533f8c63e349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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解题方法
3 . 椭圆
的左、右顶点分别是
,左、右焦点分别是
.若
是
,
的等比中项,则此椭圆的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77fee11267fe65012658a5fe1f27b64b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d730e3d3c0b0884f06da7fa41e263ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e245c5b028a2ffb357e4f5d816747b.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2016-12-04更新
|
475次组卷
|
2卷引用:2015-2016学年宁夏银川一中高二上学期期中理科数学试卷
14-15高二上·广东肇庆·期末
解题方法
4 . 设椭圆
的左、右顶点分别为
、
,离心率
.过该椭圆上任一点P作PQ⊥x轴,垂足为Q,点C在QP的延长线上,且
.
(1)求椭圆的方程;
(2)求动点C的轨迹E的方程;
(3)设直线MN过椭圆的右焦点与椭圆相交于M、N两点,且
,求直线MN的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e69ab96db5b606192b222f04688d533.png)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502223556608/1571502229291008/STEM/421b41d3abfe401da848a7bbdc1cf0a0.png)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502223556608/1571502229291008/STEM/5f7ccaa5d0654eae99f7579374b56c87.png)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502223556608/1571502229291008/STEM/638faf2303284f0eae1df71643bb1538.png)
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502223556608/1571502229291008/STEM/614bc3378bde42ff8c50babb3b7dd99f.png)
(1)求椭圆的方程;
(2)求动点C的轨迹E的方程;
(3)设直线MN过椭圆的右焦点与椭圆相交于M、N两点,且
![](https://img.xkw.com/dksih/QBM/2014/1/22/1571502223556608/1571502229291008/STEM/2f56d1aa9c654d728ead56ac8e0a7684.png)
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