题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-81610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-89209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-44801.png)
(1)求圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-81610.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-13676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-54471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-81610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-14107.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-36672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-11303.png)
解析
试题分析:(1)设所求圆的一般方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-69972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-90768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-37659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-76807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025457-15801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025457-14923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-89209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-44801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025457-87034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-14107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-13676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-14107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-14107.png)
试题解析:(1)设圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-81610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-69972.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-90768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025457-47604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-76807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025457-29887.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-37659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025457-74039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025457-15801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025457-11823.png)
由题意有
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025457-60302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025458-78527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-89209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-44801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025458-64869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025458-33716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-81610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-36672.png)
(2)由(1)知,圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-81610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025458-13315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025458-60145.png)
当直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-14107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025455-13676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-14107.png)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025459-10733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025459-10373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025459-57464.png)
于是直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-14107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025459-31230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025456-11303.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025448-67000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025449-30849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025442-36638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025442-71645.png)
(2)已知实数
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025442-52273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025442-83488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025442-10054.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025433-99453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025434-75379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025434-26036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025434-23698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025434-75379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025434-49747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025435-88209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025435-50650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025435-38079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025435-18767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025435-59306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025436-12422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025436-33481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025426-26995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025426-97483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025427-50942.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025427-20059.png)
(2)若AC=3,求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025427-54263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025419-25419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025419-52290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023025419-65426.png)
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