题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215129-14582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215129-67132.png)
(1)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215129-91671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215129-45969.png)
(2)如果过点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-18073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-27606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-34821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-27606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-28678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-21600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-21600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-34821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215131-56362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-21600.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215131-86476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215131-47470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215131-23267.png)
解析
试题分析:(1)由题意可以通过求弦心距进而求得弦长,而弦心距即为圆心
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215132-41445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215129-14582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215132-77321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215132-50444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215132-22029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215132-67586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-68881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-28678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-48585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-27606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-21600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-68881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-85784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-21600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-34821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215131-56362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-77349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215134-57682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215129-91671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-68881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215134-85494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215134-43311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215134-96262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215135-16949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-68881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215131-47470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215131-23267.png)
试题解析:(1)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215129-91671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215129-45969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215132-77321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215132-50444.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215132-22029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215135-79941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215129-14582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215132-22029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215132-67586.png)
∵圆心
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-68881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-28678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-48585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-27606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-21600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-85784.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215129-91671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-68881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215135-55278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215135-72201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-21600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215130-34821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215131-56362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215136-14756.png)
即可得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215136-59860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215136-39333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215134-96262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215135-16949.png)
∴圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215133-68881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215131-47470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215131-23267.png)
核心考点
试题【已知直线,圆.(1)求直线被圆所截得的弦长;(2)如果过点的直线与直线垂直,与圆心在直线上的圆相切,圆被直线分成两段圆弧,且弧长之比为,求圆的方程.】;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
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-67815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-53242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-38708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-19036.png)
(1)求圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-67815.png)
(2)若过点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-42889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-70814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-83678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-67815.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215119-33661.png)
①求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-70814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215119-14374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215118-70814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215108-84453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215108-26884.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
⑴求圆C的方程;
⑵设Q为圆C上的一个动点,求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215059-36386.png)
⑶过点P作两条相异直线分别与圆C相交于A,B,且直线PA和直线PB的倾斜角互补,O为坐标原点,试判断直线OP和AB是否平行?请说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215051-54697.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215051-66274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215045-37929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215045-18158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215045-18158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215046-29789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215046-44495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215046-42654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215046-71224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022215045-18158.png)
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