题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030955-24739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030955-41268.png)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030955-52435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030956-72652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030956-72652.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030956-22187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030956-64753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030956-29220.png)
(3)若实数
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030956-55686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030957-55902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030957-80610.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030957-51431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030957-56710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030957-22250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030958-44656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030958-39372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030958-24632.png)
解析
试题分析:(1)将P(a,a+1)代入C:x2+y2-4x-14y+45=0,中得a=4,所以p(4,5),|PQ|=
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030958-75451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-78977.png)
(2)将圆C:x2+y2-4x-14y+45=0,转化为标准形式(x-2)2+(y-7)2=(2
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-40835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-40835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-40835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-40835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-40835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-40835.png)
(3)根据题意,实数m,n满足m2+n2-4m-14n+45=0,即满足(m-2)2+(n-7)2=(2
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-40835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-40835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-64396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-53121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-10989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-10989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030959-10989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030958-44656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030958-39372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030958-24632.png)
点评:此类问题考查了直线与圆的方程的综合.考查了学生数形结合的思想,函数的思想,转化和化归的思想的运用.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030944-40563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030944-47383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030944-17633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030944-61566.png)
(1)求圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030944-17633.png)
(2)求过点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030945-35851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030944-17633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030936-94806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030936-80219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030936-86354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030936-94806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030936-86354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030936-80219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030936-72837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030937-17374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030937-11287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030936-80219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030937-42634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030937-39339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030929-58983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030929-49654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030929-43155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030929-76927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030929-58983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030930-56735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030930-64919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030930-67216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030929-58983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030930-71032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030929-43155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030931-67407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030925-39221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030925-34275.png)
A.1 | B.2 |
C.4 | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030916-21254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030916-62174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030916-88874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030917-54458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023030917-37539.png)
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