名校
解题方法
1 . 已知点
在双曲线
上.
(1)双曲线上动点Q处的切线交
的两条渐近线于
两点,其中O为坐标原点,求证:
的面积
是定值;
(2)已知点
,过点
作动直线
与双曲线右支交于不同的两点
、
,在线段
上取异于点
、
的点
,满足
,证明:点
恒在一条定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be3ad3dd6803d92df6ff8a80cd35095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2702066c515f9b77353cfba5f9e33c0.png)
(1)双曲线上动点Q处的切线交
![](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/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb41efe7bf6a0c35c940d68d85bd928a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad01b0639b0b618c9128df2a5d1315c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
您最近一年使用:0次
2023-05-17更新
|
1095次组卷
|
4卷引用:山东省青岛市青岛第二中学2023-2024学年高二上学期期中数学试题
山东省青岛市青岛第二中学2023-2024学年高二上学期期中数学试题安徽省舒城中学2023届仿真模拟卷(二)数学试题(已下线)专题3.9 圆锥曲线中的定点、定值、定直线问题大题专项训练【九大题型】-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)专题突破卷23 圆锥曲线大题归类
名校
解题方法
2 . 已知双曲线
为右焦点.
(1)求双曲线
的渐近线方程及两条渐近线所夹的锐角;
(2)当
时,设过点
的直线
与双曲线
交于点
,且
的面积为
,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380e7e09dc9f200a4ce643774728fb8a.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddca36a04a90bd2127a23148241a408.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/86e203b7c9a6600e0272c58a23733490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecfb02e157819a2bdd0f2790cbc825e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1714dbcd86abd2c3687591eb25c49a36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2022-11-13更新
|
707次组卷
|
3卷引用:江苏省泰州市兴化市2022-2023学年高二上学期期中数学试题
3 . 已知椭圆
的左右焦点
,
分别是双曲线
的左右顶点,且椭圆
的上顶点到双曲线
的渐近线的距离为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/e2f0672b-45e1-48c4-bcfd-eb6c12119de9.jpg?resizew=204)
(1)求椭圆
的方程;
(2)设P是第一象限内
上的一点,
、
的延长线分别交
于点
、
,设
、
分别为
、
的内切圆半径,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e48d1edbfb6a5a48f9a95551d1dbc2.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/8360f854ef0a6def80ea77a31c6aa4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83fb9ac8a18e78a4c56da79514b5ccb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/e2f0672b-45e1-48c4-bcfd-eb6c12119de9.jpg?resizew=204)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设P是第一象限内
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858005b9ae89ae080d83dcc13cf8e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3e95410f3b4fcb0cba425b521d1f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7733784336d1592cfe38e6a629140ef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01d20fc53563351369c9bcb1360c410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fd3d19b0c8b544d52b897ca30990b4.png)
您最近一年使用:0次
2022-11-02更新
|
856次组卷
|
3卷引用:河南省许平汝名校2022-2023学年高二上学期期中考试数学试题
名校
解题方法
4 . 设直线
与双曲线
交于M,N两个不同的点,F为右焦点.
(1)求双曲线C的渐近线方程及两条渐近线所夹的锐角;
(2)当
时,设直线
与C交于M,N,三角形
面积为S,判断:是否存在k使得
成立?若存在求出k的值,否则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e4ccee557002a8087c215c6efbe50c.png)
(1)求双曲线C的渐近线方程及两条渐近线所夹的锐角;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5bb314392941c85f9d63ecaa9113bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7354a832bd005c5405cf5ec234aea493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24786e4b1ca74feb04e78577f5ba62b4.png)
您最近一年使用:0次
5 . 已知双曲线
:
与椭圆
有公共焦点,
的左、右焦点分别为
,
,且经过点
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80b861ba40387cb2bcd04945f5a371a.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de6140983d54ff07307ec65bddd7320e.png)
A.双曲线![]() ![]() |
B.若直线![]() ![]() ![]() |
C.设![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.若动直线![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2021-11-06更新
|
3321次组卷
|
8卷引用:河北省九师联盟2021-2022学年高二上学期期中数学试题