解题方法
1 . 如图,已知过原点的直线
与双曲线
相交于
两点,双曲线
的右支上一点
满足
,若直线
的斜率为
,则双曲线
的离心率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/1b343319-2a5c-4473-9f9e-4182a2a46032.png?resizew=138)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f5e1130230cb0f8ea5825818ad34b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/1b343319-2a5c-4473-9f9e-4182a2a46032.png?resizew=138)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:青海省海东市2023届高三第三次联考数学(文科)试题
2 . 已知F是双曲线
的右焦点,过F且垂直于x轴的直线交E于A,B两点,若E的渐近线上恰好存在四个点
,
,
,
,使得
,则E的离心率的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c4088276acdbede4781b2ebc466366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f44c3ded26ea995e5e4d7e56a3e9fa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:青海省海东市2022届高考一模数学(文)试题
青海省海东市2022届高考一模数学(文)试题内蒙古通辽市2021-2022学年高三上学期期末考试数学(文)试题(已下线)专题五检测 解析几何-2022年高考数学二轮复习讲练测(新教材·新高考地区专用)贵州省遵义市2021-2022学年高二上学期期末考试数学(理)试题
解题方法
3 . 已知
(不在
轴上)是双曲线
上一点,
,
分别是
的左、右焦点,记
,
,若
,则
的离心率的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5076829e649b3f3866d4a7e07a5713e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697c20fca284394bf5d5b9e5f6d952e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afbcd3c73e89c455464b2882fd1b987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bffa11cdf72b5e2467ada6bf78befdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba677073b32c3dac3a20449c404c660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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青海省海东市2020届高三第四次模拟考试数学(文)试题辽宁省抚顺市六校(省重点)联合体2020届高三5月联考数学(文)试题安徽省四校2020-2021学年高三上学期适应性测试文科数学试题(已下线)专题41 离心率的求值或取值范围问题-学会解题之高三数学万能解题模板【2022版】