题目
题型:不详难度:来源:
A.![]() | B.![]() |
C.![]() | D.![]() |
答案
解析
试题分析:
圆心在直线x+y=0上,设出圆心,利用圆C与直线x-y=0及x-y-4=0都相切,就是圆心到直线等距离,求解即可。解:圆心在x+y=0上,圆心为(a,-a),圆心到两直线x-y-1=0的距离是
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031158-73471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031158-80127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031157-21293.png)
点评:考查圆的方程的求法,一般情况下:求圆C的方程,就是求圆心、求半径.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031152-80597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031148-82113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031149-40092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031149-47519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031148-82113.png)
A.相交 | B.相切 | C.相离 | D.不能确定 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031142-64031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031142-97704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031142-57820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031142-93822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031142-43333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031143-78973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031143-31069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031143-20771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031143-64571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031144-94443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031144-14531.jpg)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031143-64571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031144-87021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031143-78973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031142-43333.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031144-10290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031145-89563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031145-51821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031137-16434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031138-64546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031138-57445.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031132-52540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031132-76873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031132-10519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023031133-41808.png)
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