题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-15242.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-98058.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010449-71756.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010449-18456.gif)
(1)判断圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-15242.gif)
(2)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010449-82826.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-15242.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010449-55930.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010449-83832.gif)
①若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010450-73533.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010450-66186.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010450-15721.gif)
②若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010450-73533.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010450-66186.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010450-58250.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010451-84075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010451-63368.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010451-33076.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010451-16942.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010451-83941.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-48628.gif)
答案
(2) ①
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-39843.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-93107.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-15242.gif)
②直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-48628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-77011.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-15242.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010453-49211.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010453-22755.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010453-66292.gif)
则圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-15242.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010453-42005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010449-82826.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010453-74978.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-15242.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010454-74686.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010454-55279.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010454-12711.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010454-55694.gif)
(2) ①设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-39843.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-93107.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-15242.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010454-52427.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010455-97680.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010455-60937.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010455-50486.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010455-69436.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010456-69393.gif)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010456-33313.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010456-25367.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-39843.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-93107.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-15242.gif)
另解:若直线PA与PB中有一条直线的斜率不存在,
则PA=PB=2,此时PA+PB="4."
若直线PA与PB斜率都存在,且互为负倒数,故可设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010456-53226.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010456-96846.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010457-81553.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010457-58948.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010457-55096.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010457-65628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010458-22317.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010458-78173.gif)
综上:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-39843.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-93107.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010448-15242.gif)
②直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-77011.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-48628.gif)
由题意知, 直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010450-73533.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010450-66186.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010456-53226.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010458-72571.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010458-96258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010458-26801.gif)
因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010449-82826.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010459-12415.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010459-89365.gif)
同理,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010459-93813.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010459-51626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010459-12121.gif)
所以,直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-48628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010452-77011.gif)
核心考点
试题【(14分)已知圆过点且与圆M:关于直线对称 (1)判断圆与圆M的位置关系,并说明理由; (2)过点作两条相异直线分别与圆相交于、①若直线与直线互相垂直,求的最大】;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/20191023/20191023010442-25774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010442-13157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010443-48806.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010443-47244.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010443-93027.gif)
A.![]() | B.4 | C.![]() | D.2 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010435-69887.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010436-27025.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010436-63235.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010436-32041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010436-58238.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010437-69092.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010437-65060.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010437-35908.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010437-12421.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010436-27025.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010437-10929.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010432-12760.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010432-81739.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010427-90650.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010427-11163.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010428-49710.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010428-92825.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010428-53696.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010428-67853.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010428-95372.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010429-62185.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010429-65542.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010429-26027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010429-11999.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010422-65778.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010422-49458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023010423-45444.gif)
A.2 | B.-2 | C.2或-2 | D.![]() ![]() |
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