1 . 设抛物线
,弦AB过焦点
,过A,B分别作拋物线的切线交于
点,则下列结论一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.存在点![]() ![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
2 . 设双曲线C:
(
,
)的右焦点为F,点O为坐标原点,过点F的直线
与C的右支相交于A,B两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/1e8e31f1-e40d-4c06-b771-0bac1138391c.png?resizew=147)
(1)当直线
与x轴垂直,且
两点的距离等于双曲线C的实轴长时,求双曲线C的离心率;
(2)若双曲线C的焦距为4,且
恒成立,求双曲线C的实轴长的取值范围.
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/1e8e31f1-e40d-4c06-b771-0bac1138391c.png?resizew=147)
(1)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(2)若双曲线C的焦距为4,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b86f2cc5dc2f8053711f932a57f9.png)
您最近一年使用:0次
名校
解题方法
3 . 已知双曲线
,直线
过双曲线
的右焦点
且交右支于
两点,点
为线段
的中点,点
在
轴上,
.
(1)求双曲线
的渐近线方程;
(2)若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e00e01c6b751bcb01fbb6d1d0b301e.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58b352febc92ecf743dd21b3bcde613.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf5ec2090952a9b50a356cfd876f622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2023-11-09更新
|
828次组卷
|
5卷引用:专题07 平面解析几何
(已下线)专题07 平面解析几何浙江省金华十校2024届高三上学期11月模拟考试数学试题(已下线)黄金卷03四川省眉山市仁寿第一中学校南校区2023-2024学年高二上学期12月阶段性模拟测试数学试题(已下线)专题26 直线与圆锥曲线的位置关系5种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教B版2019选择性必修第一册)