题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001001-87711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001001-16265.png)
(1)判断直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001001-16265.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001001-16265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001001-81253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001002-72011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001001-16265.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001002-19485.png)
∴ 圆C的圆心
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001002-11016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001003-29459.png)
圆心
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001002-11016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001003-11808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001003-78311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001003-98136.png)
因此直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001001-16265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001003-79967.png)
(法二)将直线化为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001004-76505.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001004-48975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001004-62014.png)
∴直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001003-11808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001004-59860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001005-90560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001004-59860.png)
∴直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001001-16265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001003-79967.png)
(法三)联立方程
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001005-91496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001005-40959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001005-72869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001006-40015.png)
∴直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001001-16265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001003-79967.png)
(Ⅱ)设圆心到直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001001-16265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001006-67473.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001006-79512.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001006-11470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001006-43858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001007-75762.png)
∴ 所求直线为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001007-35428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023001007-33485.png)
解析
核心考点
试题【(本小题满分12分)已知圆C:,直线:mx-y+1-m=0(1)判断直线与圆C的位置关系。(2)若直线与圆C交于不同两点A、B,且=3,求直线的方程。】;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
A.–1 | B.2 | C.3 | D.0 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023000949-86634.png)
(1)当m=–1时,求直线l圆c所截的弦长;
(2)求证:直线l与圆c有两个交点。
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023000937-16735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023000937-88532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023000937-61619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023000937-67568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023000938-22097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023000937-16735.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023000933-79959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023000933-28277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023000933-92086.png)
圆的位置关系是 _____________
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