题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004838-58539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004839-68895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004839-45921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004839-36287.png)
A.1 | B.2 | C.![]() | D.![]() |
答案
解析
专题:计算题.
分析:求出圆心(0,0)到直线ax+by+c=0的距离d,再利用弦长公式求得弦长.
解答:解:由题意得 c2=a2+b2,圆心(0,0)到直线ax+by+c=0的距离等于d=
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004840-16866.png)
由弦长公式得 弦长等于 2
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004840-72048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004840-31348.png)
故选B.
点评:本题考查点到直线的距离公式、弦长公式的应用,求出圆心(0,0)到直线ax+by+c=0的距离是解题的关键.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004834-38916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004834-19037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004834-74509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004834-69597.png)
A.2 | B.4 | C.6 | D.8 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004827-63288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004827-62284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004827-42007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004827-42007.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004820-98018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004820-96597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004820-22460.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004814-97856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004814-31805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004814-81769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004807-40241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004807-12813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023004807-48893.png)
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