名校
1 . 已知点P和非零实数
,若两条不同的直线
均过点P,且斜率之积为
,则称直线
是一组“
共轭线对”,如直
是一组“
共轭线对”,其中O是坐标原点.
是一组“
共轭线对”,求
的夹角的最小值;
(2)已知点A(0,1)、点
和点C(1,0)分别是三条直线PQ,QR,RP上的点(A,B,C与P,Q,R均不重合),且直线PR,PQ是“
共轭线对”,直线QP,QR是“
共轭线对”,直线RP,RQ是“
共轭线对”,求点P的坐标;
(3)已知点
,直线
是“
共轭线对”,当
的斜率变化时,求原点O到直线
的距离之积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4fb814dbdd5dc584a06be40da14146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4fb814dbdd5dc584a06be40da14146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5883f18fe46765e94aba381bff58d501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120be1fe068d0caeb470903565101d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf497f6e2c8534203fd6c147451d35e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4fb814dbdd5dc584a06be40da14146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af379ba5a9cf6cab6815c3252ce23beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4fb814dbdd5dc584a06be40da14146.png)
(2)已知点A(0,1)、点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c85c66ab0b89e84a10aad864251771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d85d8c1f8add55bdc8c393be3ba2ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0009bbfff99038d2af22c753b87136dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757b384946bb1b4ff9b754ee6aa7f4d3.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70991c59719c9c37e186a7bc8a121ca2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4fb814dbdd5dc584a06be40da14146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4401491646ca39b6376c31f1f515b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4fb814dbdd5dc584a06be40da14146.png)
您最近一年使用:0次
2018-12-05更新
|
865次组卷
|
5卷引用:上海市建平中学2022-2023学年高一下学期期末数学试题
上海市建平中学2022-2023学年高一下学期期末数学试题【全国百强校】上海市复旦附中2018-2019学年高二上学期期中考试数学试题上海市上海师范大学附属中学2020-2021学年高二上学期期中数学试题(已下线)2.1 直线的倾斜角与斜率-2021-2022学年高二数学尖子生同步培优题典(人教A版2019选择性必修第一册)上海市青浦高级中学2020-2021学年高二上学期期中数学试题