名校
1 . 设
为双曲线
:
左、右焦点,点
在
的右支上,线段
与
的左支相交于点
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbcc5cd6c478374feb2f610cc81e9d4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8264135ba3bc4e68f571ea9293b0fc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8ad9e94d07405a6be585f81a0d623b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3effb79e6b61f1c41ed56431f6fca175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbcc5cd6c478374feb2f610cc81e9d4.png)
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2 . 设m为常数,若点
是双曲线C:
的一个焦点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551b3901b8d96e193947d239eb3b2e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d06f1cf6c78b0ef0592f05899488272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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3 . 若点P是双曲线
上一点,
,
分别为C的左、右焦点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e6bb54af35fd692a472b23c9f4694c.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/d478d9b6b08fb5b27f6a9442a2d443e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
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4 . 已知双曲线
的左焦点为
,点
在双曲线上且在
轴上方,若线段
的中点在以
为圆心,
为半径的圆上,则直线
的斜率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad0c75ce33673ec4c425896e8619e4.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8b3616d8d33f54ddac1c485a95a7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
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5 . 以椭圆
的焦点为顶点,顶点为焦点的双曲线的标准方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57fbdcf5ed16ea6ae22fe7446d9aab97.png)
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2023-11-17更新
|
558次组卷
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3卷引用:2.3.1 双曲线的标准方程(十二大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
(已下线)2.3.1 双曲线的标准方程(十二大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)湖北省武汉市华中师范大学第一附属中学2023-2024学年高二上学期期中数学试题山东省淄博市临淄中学2023-2024学年高二上学期阶段性检测数学试题
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6 . 双曲线
的渐近线方程为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421d518bbdc7ecbb69bd8b6eb697ce4b.png)
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7 . 已知双曲线
的左右两个焦点分别是
,双曲线上一点
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33cfd62f2cc0aaea9552e6eb5fe1499e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0f128d08df53efd55ce7f3822991e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
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8 . 设双曲线
的焦点为
、
,
为该双曲线上的一点,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33afe1e0641fc80d27e3b8044eb30dc1.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907a3d466e71f798b44c0cfe3812fa9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f4c840188517dc845ce9640e8cd799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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2021-02-03更新
|
275次组卷
|
3卷引用:上海市闵行中学2020-2021学年高二上学期期末数学试题
上海市闵行中学2020-2021学年高二上学期期末数学试题(已下线)专题2.2 圆锥曲线【章节复习专项训练】-2020-2021学年高二数学下学期期末专项复习(沪教版)上海市高桥中学2022-2023学年高二上学期期末数学试题
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9 . 焦点在
轴上的双曲线
焦距长为4,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5330bafcf62ad79db89152b33488d127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
10 . 设
为双曲线
的右焦点,
为坐标原点,
、
是以
为直径的圆与双曲线
渐近线的两个交点.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638716eb535eb653b53a723d686b1a85.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5921bfc7167c8c298f641317e07087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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2020-12-23更新
|
716次组卷
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5卷引用:上海市长宁区2021届高三上学期一模数学试题
上海市长宁区2021届高三上学期一模数学试题(已下线)热点07 解析几何-2021年高考数学【热点·重点·难点】专练(上海专用)(已下线)课时37 双曲线-2022年高考数学一轮复习小题多维练(上海专用)(已下线)重难点04 解析几何-2021年高考数学【热点·重点·难点】专练(新高考)云南省弥勒市第一中学2020-2021学年高二下学期第四次月考数学(文)试题