解题方法
1 . 已知双曲线
(
,
)中,离心率
,实轴长为4
(1)求双曲线的标准方程;
(2)已知直线
:
与双曲线交于
,
两点,且在双曲线存在点
,使得
,求
的值.
![](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/790f682ab3b50ba3f79e1ab6c67c75a5.png)
(1)求双曲线的标准方程;
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e235d7dd12f948f5ffb2e5afddc95612.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa30509eee362192a6e4af390e14315f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2022-11-15更新
|
1024次组卷
|
4卷引用:海南省海口嘉勋高级中学2022-2023学年高二上学期11月期中检测数学试题
海南省海口嘉勋高级中学2022-2023学年高二上学期11月期中检测数学试题四川省泸州市龙马高中2022-2023学年高二上学期期中考试数学(文)试题(已下线)模块四 专题6 大题分类练(圆锥曲线的方程)基础夯实练(人教A)专题04 双曲线15种常见考法归类(3)
名校
2 . 过点
且与双曲线
只有一个公共点的直线的条数是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ed90ebf0061c8a79beed307fc1719a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d34cf4ed961f4052ed35c7475c7d32e.png)
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3 . 已知双曲线C:
的右焦点为F,过点F的直线l:
与双曲线C的右支交于点A,且与y轴交于点B.若
的面积为
,其中,O为坐标原点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38544c35c45a692f3f1c8dbcdb9db71e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c21e8e285df194bdaf648e34f4c1676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3954beda5772eb8d5de1002ddeb81524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6093eebca8f3ff82ce9298feb197e955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38544c35c45a692f3f1c8dbcdb9db71e.png)
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