题目
题型:不详难度:来源:
(1)若圆的面积最小,求圆的方程;
(2)若圆心在直线x-2y-3=0上,求圆的方程.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232535-54139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232535-14448.png)
解析
(2)先求出AB的垂直平分线方程,再与直线x-2y-3=0联立解方程组求出圆心坐标,进而可求出半径.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232526-14941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232527-20542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232527-46663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232527-94809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232527-78224.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232527-20542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232527-52013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232528-64963.png)
(Ⅱ)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232528-65148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232528-93889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232528-64963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232520-57195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232521-65246.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232521-61143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232517-21187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232510-26688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232510-96796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232510-13157.png)
(1)求圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232510-96796.png)
(2)若圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232510-96796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232511-76637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232511-26056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232511-43288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232506-96344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232506-89473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232506-71651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232506-41287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232506-89473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232507-93111.png)
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