名校
解题方法
1 . 已知
分别是双曲线
的左、右焦点,
为双曲线上两点,满足
,且
,则双曲线
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b21a71ea5ac95da62c80eaf502ed922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4921e3e11e5596e4686a7d293859294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
2 . 在三棱锥
中,
,且
,则二面角
的余弦值的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08c842ba3416d69614a5ffa877f905c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982bb2f1368b348e0197f04f88f41740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d294d69caac577339f11f477b2047e.png)
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名校
3 . 设双曲线
的左焦点和右焦点分别是
,点
是
右支上的一点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6a2299a108a5f039461fd8cf8395db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa8711ff188e86a79f05cf1d90ca05f.png)
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名校
解题方法
4 . 已知双曲线
的焦点分别为
、
,
为双曲线上一点,若
,
,则双曲线的离心率为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25119bf2918ad02ef11d3c19f2200dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817581e2753f372b15cbd78218ec1322.png)
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2024-04-01更新
|
745次组卷
|
5卷引用:上海市实验学校2023-2024学年高二下学期4月月考数学试卷
名校
解题方法
5 . 设点
是曲线
右支上一动点,
为左焦点,点
是圆
上一动点,则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6980c1b60505861f5dda0faaecbd78d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff21811ea84135ab28112ae687268f3.png)
您最近一年使用:0次
2024-03-22更新
|
304次组卷
|
2卷引用:上海市松江二中2023-2024学年高三下学期5月月考数学试题
名校
6 . 已知向量
,
,且
,则点
的轨迹方程是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87044588e445cb29bf420d938b6da8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c964a2f4b8404ffd388a18fe4f5b4074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13cec26c310c02be4eccd3dfdacef991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ff7e0ef1f622120cc1b18e9d3e80ec.png)
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名校
解题方法
7 . 在
中,
,则以
为焦点,且过
点的双曲线的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebbcd637d43be1d298808149fdeb9eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
名校
解题方法
8 . 已知双曲线
左右焦点分别为
,点
为右支上一动点,圆
与
的延长线、
的延长线和线段
都相切,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/400c4d2c4b6b978994c390f44db2f47a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57969257b42278469289d3034537f99.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da01a3abe1c9dc4e6283afa0dc1a0d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83e02c09428538ce8ae136cff26d3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/400c4d2c4b6b978994c390f44db2f47a.png)
您最近一年使用:0次
2024-02-23更新
|
420次组卷
|
3卷引用:上海市松江二中2023-2024学年高二下学期3月月考数学试卷
上海市松江二中2023-2024学年高二下学期3月月考数学试卷上海市华东师范大学第二附属中学2023-2024学年高二上学期期末考试数学试卷(已下线)专题04 圆锥曲线(六大题型+优选提升题)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(沪教版2020选择性必修,上海专用)
名校
9 . 已知点
为双曲线
右支上一点,
分别为双曲线的左、右焦点,
为
的内心,若
成立,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0bd4bd9985f1e367c100b453ed03f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2456de68440c59f7959028f9bb99ea80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2024-02-12更新
|
246次组卷
|
5卷引用:上海市嘉定区第二中学2023-2024学年高二下学期3月月考数学试题
上海市嘉定区第二中学2023-2024学年高二下学期3月月考数学试题上海市新川中学2023-2024学年高二上学期期末数学试题上海市松江二中2023-2024学年高二下学期期中数学试卷(已下线)专题04 圆锥曲线(六大题型+优选提升题)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(沪教版2020选择性必修,上海专用)(已下线)专题02 圆锥曲线--高二期末考点大串讲(沪教版2020选修)
名校
解题方法
10 . 双曲线
的左右两个焦点为
,
,第二象限内的一点P在双曲线上,且
,则三角形
的面积是__________ .
![](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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe2e0b758e652a6ee4234b46af2371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf8a7029669bf1774a24f3ef6273ca88.png)
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