1 . 已知双曲线
的左、右焦点分别为点
、
,点
为双曲线的中心,点
是双曲线右支上的点,
的内切圆的圆心为点
,且
与
轴相切于点
,过点
作直线
的垂线,垂足为点
,若
为双曲线的离心率,则
、
满足的关系式为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79516f18a7daf0ad467a48e16d0e65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede935419d69a161bb22fd513647da06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c388f1f7160d3397610633dfde015fa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a82596d3e0eea2ea14448e3ede29c2.png)
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2 . 双曲线
,左右顶点为
为右支上一点且
不重合,过点
作
轴于点
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ebf5c4fa6b77f00f30dee43562c080.png)
______ 度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81644fa3f1218ed5c9b6d8d16afb4786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15bebf4417f17ba00e6e1f98ff4c5717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fb66d3afe6f356b9dccbb752106fd60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/465aec2e55491394d6a8bfa3ffb2b833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f5695e2dcda2f8721b3092965e22f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ebf5c4fa6b77f00f30dee43562c080.png)
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3 . 设点
为椭圆
和双曲线
的公共顶点,点
分别是双曲线和椭圆上不同于
的两动点,且满足
(
且
).设
的斜率分别为
,则
的值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0497a2b843caeaeb1825e33c5819d84e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c758b92da9700b58fc86158f3e0b61dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e87088da41685cc8d433fbbe0e18d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967f6053555ac2cd03ab0ca3a44dbbfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129fc9dd56db58d8e697e705ec6eb960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c65902e35640cf2c8d4111c36b40145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f80f88bf259eab62e63d64281cf2635.png)
A.0 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
真题
名校
4 . 已知圆C过双曲线
的一个顶点和一个焦点,且圆心在此双曲线上,则圆心到双曲线中心的距离是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58fa4a337f0b81b991fb32e8e6e3c0.png)
您最近一年使用:0次
2018-06-10更新
|
520次组卷
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9卷引用:第七届高二试题(A卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
第七届高二试题(A卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)【全国百强校】广西宾阳县宾阳中学2017-2018学年高二5月月考数学(文)试题沪教版(2020) 选修第一册 同步跟踪练习 第2章 测试卷第2章 圆锥曲线测试题 -2021-2022学年高二上学期数学北师大版(2019)选择性必修第一册上海市上海师范大学附属中学2023-2024学年高二上学期期中考试数学试卷(已下线)专题09 双曲线(四大核心考点六种题型)-【寒假自学课】2024年高二数学寒假提升学与练(沪教版2020)2015届湖南省长沙长郡中学高三上学期第二次月考文科数学试卷1998年普通高等学校招生考试数学(理)试题(全国卷)1998年普通高等学校招生考试数学(文)试题(全国卷)