解题方法
1 . 已知
是双曲线
的右焦点,过
作与
轴垂直的直线与双曲线交于
两点,过
作一条渐近线的垂线,垂足为
,若
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b967a847d0ee17f569cf80ab502d7492.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926c4e7085c0ab52ad9329dd5c22b6f6.png)
A.2 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
2 . 已知双曲线
的左、右焦点分别为
,过点
且与
轴垂直的直线
与双曲线
交于
两点,若
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3212785999a0e13446e2aba1dcfcd790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 已知双曲线
过点
且渐近线为
,则下列说法正确的个数的是( )
(1)双曲线
的方程为
,
(2)双曲线
的离心率为
,
(3)曲线
经过
的一个焦点,
(4)过双曲线
的焦点且垂直于实轴的直线截双曲线的弦长为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460e1f707e43e4d7a8a2eb6bfaa435e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b75308335340230171130238f4dc6c1.png)
(1)双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a218602e8e3a52f74f760059aa7014.png)
(2)双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(3)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53391388b4ef2b1731e4e4211210b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(4)过双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2022-12-29更新
|
627次组卷
|
3卷引用:湖南省永州市江华瑶族自治县第一中学2022-2023学年高三上学期12月月考数学试题
2022高三·全国·专题练习
名校
解题方法
4 . 已知F1(-5,0),F2(5,0)是双曲线C的两个焦点,过F2且垂直于x轴的直线交C于A,B两点,且|AB|=
,则C的方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0874f019492261eb175bdcc08c189d.png)
您最近一年使用:0次
2022高三·全国·专题练习
5 . 已知
、
是双曲线
的两个焦点,过
作垂直于
轴的直线与双曲线相交,其中一个交点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.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/565bc68d208cd5e0c90a32851faf3814.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
您最近一年使用:0次
2022高三·全国·专题练习
6 . 过双曲线的一个焦点且与双曲线的实轴垂直的弦叫做双曲线的通径,则双曲线
的通径长是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f730d7a15a518c0f66f16ba91a2aacc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 设
为双曲线C:
的左、右焦点,过
的直线交双曲线C的右支于P,Q两点,直线l:
为双曲线C的一条渐近线,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9ebed0fde139e9699a8c46cc6620ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f75508b798b0e011e91b8d427a102ca.png)
A.![]() | B.弦PQ长的最小值为6 |
C.存在点P,使得![]() | D.点P到直线m:![]() |
您最近一年使用:0次
2021高三下·全国·专题练习
8 . 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)
您最近一年使用:0次
2020·全国·模拟预测
解题方法
9 . 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.![]() |
您最近一年使用:0次
2020高三·全国·专题练习
解题方法
10 . 过双曲线
的右焦点的直线被双曲线所截得的弦长为
,这样的直线有____ 条.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965f8537d72fdc1eb16f225a26003564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
您最近一年使用:0次
2021-01-04更新
|
767次组卷
|
6卷引用:考点49 直线与双曲线的位置关系(考点专练)-备战2021年新高考数学一轮复习考点微专题
(已下线)考点49 直线与双曲线的位置关系(考点专练)-备战2021年新高考数学一轮复习考点微专题(已下线)3.2.2 双曲线的简单几何性质(第2课时)(练习)3.2 双曲线-2021-2022学年高二数学教材同步精品学案(人教A版2019选择性必修第一册)双曲线中的弦(已下线)3.2.2 双曲线的几何性质(2)北师大版(2019) 选修第一册 数学奇书 学业评价(二十二) 直线与圆锥曲线的综合问题