题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222159-75273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222159-41193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222159-37071.png)
(1)若圆C与直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222159-91564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222200-80708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222200-36967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222200-77139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222200-15443.png)
(2)在(1)条件下,是否存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-99874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-80844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-79049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-96977.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222202-20460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222202-47537.png)
解析
试题分析:(1)将圆的方程化为标准方程,求出圆心到直线的距离,利用
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222202-39695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222200-15443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-80844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-79049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-80844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222202-24488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222203-54666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-96977.png)
试题解析:解:(1)圆的方程化为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222203-72579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222203-22751.png)
则圆心C(1,2)到直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222203-23629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222204-99634.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222204-72845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222204-37508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222202-39695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222204-58317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222202-20460.png)
(2)假设存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-99874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-80844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-79049.png)
由于圆心 C(1,2),半径
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222205-87840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222201-99874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222205-42559.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222202-47537.png)
核心考点
试题【已知圆的方程:,其中.(1)若圆C与直线相交于,两点,且,求的值;(2)在(1)条件下,是否存在直线,使得圆上有四点到直线的距离为,若存在,求出的范围,若不存在】;主要考察你对点到直线的距离等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222154-92457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222154-63813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222154-59354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222154-72996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222155-56837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222155-41426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222144-60003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222144-58097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222144-70617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222144-89865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222145-44386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222136-73517.png)
(1)已知不过原点的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222136-21290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222136-14551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222137-65495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222137-84212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222136-21290.png)
(2)求经过原点且被圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222136-14551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222121-50737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222121-81035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222122-27647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222122-17691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222122-73016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222122-45367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222122-73016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222122-56907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222123-81510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222123-14577.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222123-48140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222123-81510.png)
(2)经过
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222123-19739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222123-75028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222123-20472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222124-53251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222124-32777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222112-63937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222112-42645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022222112-25025.png)
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