名校
解题方法
1 . 在以
为原点的平面直角坐标系中,
和
分别为双曲线
的左、右焦点,点
为
右支上一点,且
是以
为顶点的直角三角形,延长
交
的左支于点
,若点
为线段
上靠近点
的五等分点,则
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e55590555905eb4f57889bbd16e39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.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/8e55b85a1dc91ee8a026ad44e82d42b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a477603f3f88c3b48352b6130f9ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2 . 已知双曲线E:
的左、右焦点分别为
,
,直线l:
与双曲线E的左、右两支分别交于P,Q两点,且
,若双曲线E的离心率为e,则
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80cffd36bf06a1feea0e703d1c33eb7a.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/ff31b7d46d492c5a69a53f7c8074013c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a10d23ff4ff1be567d781d7624a663c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c43de8c85c71384d44bf86a18f3b2de.png)
您最近一年使用:0次
解题方法
3 . 已知双曲线
的左、右焦点分别为
,过点
且斜率为1的直线
与
的右支交于
两点,若
的内心恰好在它的一条高线上,则
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/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/47ff8a5886e42095da57422c8777c10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2024高二·全国·专题练习
名校
解题方法
4 . 已知双曲线
的两个焦点分别为
,
,
,以
为直径的圆与双曲线在第一象限的交点为P,若直线
与圆E:
相切,则双曲线的离心率是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29c0738fd840c1acadc91365ff366f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be98187213d87e1ebe18bdc14c529748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21228f5771a6008635324d6befbbdf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf41688a87be3a4c0e6c8bf0b0e8912.png)
您最近一年使用:0次
2024·全国·模拟预测
名校
解题方法
5 . 在平面直角坐标系中,已知双曲线
的左、右焦点分别为
,过
且斜率为
的直线
与双曲线
的左、右两支分别交于
两点(
在第一象限),
的重心为
,内心为
,且
轴,则双曲线
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.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/d599cb4a589f90b0205f24c2e1fa021e.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47444b5fbc4252516d54263062e47c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039f7e8009ef18d707647ee256733c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
解题方法
6 . 设
是双曲线
:
(
,
)的右焦点,
为坐标原点,过
的直线交双曲线的右支于点
、
,直线
交双曲线
于另一点
,若
,且
,则双曲线
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8387b687579c4d5152175c9d19e24232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/1dde8112e8eb968fd042418dd632759e.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe4ac6ee07339b7e1787e40de970c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9beef33afa767f9b95522215bbffbc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2023-12-25更新
|
1420次组卷
|
6卷引用:江西省赣州市南康中学2024届高三上学期七省联考考前数学猜题卷(七)
江西省赣州市南康中学2024届高三上学期七省联考考前数学猜题卷(七)四川省攀枝花市2022-2023学年高二上学期期末考试数学(理)试题河南省新乡市第一中学2023-2024学年高三上学期12月阶段测试数学试题内蒙古自治区赤峰市赤峰四中2021-2022学年高二上学期期中数学(理)试题(已下线)专题12双曲线(3个知识点5个拓展2个突破8种题型5个易错点)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(人教A版2019选修第一册)(已下线)2024届新高考数学信息卷4
名校
解题方法
7 . 设双曲线
:
(
,
)的左、右焦点分别为
和
,以
的实轴为直径的圆记为
,过点
作
的切线
,
与
的两支分别交于
,
两点,且
,则
的离心率的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](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/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.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/9cb6ff3722472398722c87908ae22791.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
您最近一年使用:0次
2023-11-14更新
|
782次组卷
|
5卷引用:江西省鹰潭市2023-2024学年高二上学期期末数学试题
解题方法
8 . 已知双曲线
的右焦点为
,点
在双曲线
上,且关于原点
对称.若
的面积为
,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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acccb456555181c5dbef19a954ef6e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67336ccd79b321083fa8821e524c7467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2023-07-08更新
|
372次组卷
|
4卷引用:江西省宜春市上高县2024届高三上学期开学数学试题
江西省宜春市上高县2024届高三上学期开学数学试题湖南省邵阳市2022-2023学年高二下学期7月期末联考数学试题(已下线)第12讲 第三章 圆锥曲线的方程 章末重点题型大总结(1)【人教A版(2019)】专题04平面解析几何-高二下学期名校期末好题汇编
名校
解题方法
9 . 双曲线
的左,右焦点分别为
,
,右支上有一点M,满足
,
的内切圆与y轴相切,则双曲线C的离心率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.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/be26d0e6ebd45c93dec950b75444b673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f9a699aededce0ad803bf8257fbbcb.png)
您最近一年使用:0次
2023-05-19更新
|
1880次组卷
|
12卷引用:江西省宜春市丰城市第九中学2024届高三上学期12月月考数学试题
江西省宜春市丰城市第九中学2024届高三上学期12月月考数学试题山西省大同市2023届高三下学期5月质量检测数学试题江苏省镇江第一中学2022-2023学年高二下学期期末数学试题广东省湛江市第一中学2024届高三上学期开学考试数学试题湖南省长沙市第一中学2024届高三上学期月考(二)数学试题广东省郁南县连滩中学2024届高三上学期9月月考数学试题广东省广州市天河区2024届高三上学期普通高中毕业班综合测试(一)数学试题江苏省徐州市2023-2024学年高二上学期期中数学试题(已下线)重难点突破04 轻松搞定圆锥曲线离心率十九大模型(十九大题型)-2广东省广州市第六十五中学2024届高三上学期11月月考数学试题(已下线)大招30内心公式陕西省榆林市第一中学2024届高三第一次模拟考试理科数学试题
名校
10 . 已知双曲线
的左、右焦点分别为
,
,
是双曲线左支上一点,
是线段
上的一点,过点
作PM的垂线,垂足为
点,若
(
为坐标原点
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291a0231b8630f8eda4245105ef7c38b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e1cb0784a4bfdbd7efc39ea87c7348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c595c2b0101bcb5eb5c3bef5f01b17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
2023-05-18更新
|
243次组卷
|
2卷引用:江西省景德镇一中2022-2023学年高二(18班)下学期期中考试数学试题