1 . 已知曲线
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41ee28bc6a90e14289ff3f134027e56.png)
A.若曲线![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-02-06更新
|
360次组卷
|
2卷引用:江苏省扬州中学教育集团树人学校2022-2023学年高二下学期期初考试数学试题
名校
解题方法
2 . 已知
,
,点
满足
,记点
的轨迹为曲线
.斜率为
的直线
过点
,且与曲线
相交于
,
两点.
(1)求斜率
的取值范围;
(2)在
轴上是否存在定点
,使得无论直线
绕点
怎样转动,总有
成立?如果存在,求点
的坐标;如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3dac826c7d5c7ed6977e4a6b25c9b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c9b615211b0d18f57333cd4590906c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ceef7c000b8860839e98abaf47c8dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求斜率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec14e8f5a0b164aa824a88641a5aeac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2023-01-15更新
|
409次组卷
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3卷引用:江苏省泰州市兴化市第一中学2022-2023学年高二下学期期初考试数学试题
解题方法
3 . 在平面直角坐标系
中,已知点
,
,点
满足
,记点
的轨迹为
.
(1)求
的方程;
(2)已知
,
是经过圆
上一点
且与
相切的两条直线,斜率分别为
,
,直线
的斜率为
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed42ce3af95877426d1f6d66be3481d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f617bf7e538d8bb584c66cef0830b834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf937fabdaeebdd6db8bfcbcdd7394e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc12c55f2676aeb4f696f4a84e4d65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed1e9cdd5a82f29ec89b2c53b4fa6f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc46772d71fb60910de6b8b157733e3.png)
您最近一年使用:0次
2022-03-30更新
|
1035次组卷
|
4卷引用:江苏省盐城市响水县灌江高级中学2022-2023学年高二下学期期初考试数学试题
江苏省盐城市响水县灌江高级中学2022-2023学年高二下学期期初考试数学试题江苏省南通市海安市2021-2022学年高二上学期期末数学试题(已下线)第10讲 高考难点突破二:圆锥曲线的综合问题(定值问题) (精讲)(已下线)2.8直线与圆锥曲线的位置关系(2)
名校
解题方法
4 . 在平面直角坐标系xOy中,动点Р与定点F(2,0)的距离和它到定直线l:
的距离之比是常数
,记P的轨迹为曲线E.
(1)求曲线E的方程;
(2)设过点A(
,0)两条互相垂直的直线分别与曲线E交于点M,N(异于点A),求证:直线MN过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d599059e6b2c918ab15ee22611b6962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
(1)求曲线E的方程;
(2)设过点A(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
您最近一年使用:0次
2021-12-05更新
|
1944次组卷
|
8卷引用:江苏省南京市建邺高级中学2022-2023学年高二下学期期初数学试题
江苏省南京市建邺高级中学2022-2023学年高二下学期期初数学试题江苏省连云港市东海县2021-2022学年高二上学期期中数学试题广东省广州市第六十五中学2022-2023学年高二上学期期末数学试题广东省广州市广东实验中学越秀学校2023-2024学年高二下学期3月月考数学试题(已下线)专题9-3 圆锥曲线压轴大题五个方程框架十种题型-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)第09讲 高考难点突破一:圆锥曲线的综合问题(定点问题) (精讲)-1(已下线)专题31 圆锥曲线的垂直弦问题-1(已下线)重难点突破08 圆锥曲线的垂直弦问题 (八大题型)