1 . 在平面直角坐标系xoy中,已知双曲线
(
,
)的右焦点为
,左顶点为
,过点
且垂直于
轴的直线与双曲线交于P,Q两点.若
,则双曲线的离心率为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c24f678c9aa74eb9a61cad16fd412ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d26ac4fe752f0335b07037851e9094.png)
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2020·全国·模拟预测
解题方法
2 . 已知双曲线
(
,
)的左、右焦点分别为
,
,过点
且垂直于
轴的直线
与双曲线交于
,
两点,若
的面积等于
,则该双曲线的离心率等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/47ff8a5886e42095da57422c8777c10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127a98e64fd2933904f691755f927524.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 设双曲线
的左右焦点分别为
,
,过
的直线l交双曲线左支于A,B两点,则
的最小值等于__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf800252fbabd436833289118f6cdaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a055d94c4c69a7f867c0e2b69bd8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1996f60e2c55e0caa2b095ac23ab2b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a055d94c4c69a7f867c0e2b69bd8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5f588a658b2642525ab6bd58796289.png)
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2017-02-08更新
|
738次组卷
|
4卷引用:2017届广西柳州市高三理10月模拟考试数学试卷
名校
4 . 如果双曲线的右焦点与抛物线
的焦点重合,一条渐近线方程为
,那么经过双曲线焦点且垂直于x轴的弦的长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3577bf250e9110428ff34f518fbd9f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bdeeb6f5e38e3464c357d00839a6ce.png)
A.![]() | B.![]() | C.2 | D.1 |
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2021高三下·全国·专题练习
5 . 已知双曲线C:
的左、右焦点分别为
,过点
的直线与双曲线C的左支交于
两点,连接
.(1)
为定值8;(2)若
轴,则
的面积为
;(3)直线AB与
的内切圆相切于点
.则上述说法正确的有__________ .(填写所有正确说法的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c99580b2a33da8968f0f7f86b89492e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbaa023d0248161917794c5592fd3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55d76bfd757b64517963cbc4662b366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24624dffd30b66a5e4de57362b32b2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cb28df13c4f8a64925dbf75175bed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
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