【题文】(本题满分12分)(1)设全集为R,,,求及.(2),且,求的取值范围.
【题文】(本题满分12分)(1)设全集为R,,,求及.(2),且,求的取值范围.
题型:难度:来源:
【题文】(本题满分12分)(1)设全集为R,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140306-43963.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140306-92077.png)
,求
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140307-76149.png)
及
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140307-86483.png)
.
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140308-51162.png)
,且
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140308-58842.png)
,求
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140308-27626.png)
的取值范围.
答案
解析
【解析】
试题分析:(1)由题意和并集、补集的运算先求出
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140309-59593.png)
、
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140310-54692.png)
,再分别求出
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140307-76149.png)
及
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140307-86483.png)
;
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140308-58842.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140310-59514.png)
,根据子集的定义列出关于
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140308-27626.png)
的不等式组,进而求出
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140308-27626.png)
的范围.
试题解析: (1)∵
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140311-67959.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140308-57712.png)
;
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140311-45854.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140309-36608.png)
6分
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140308-58842.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140310-59514.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140311-95826.png)
12分
考点:交集、并集的求解
举一反三
【题文】已知集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140253-68242.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140254-91364.png)
( )
【题文】已知全集
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140148-92926.png)
=( ).
A.{3} | B.{5} | C.{1,2,4,5} | D.{1,2,3,4} |
【题文】(本题满分13分)已知
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140138-24566.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140138-83841.png)
.
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140138-76043.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140138-88678.png)
的值;
(2)若“
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140139-17334.png)
”是“
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140139-77402.png)
”的充分不必要条件,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322140138-88678.png)
的取值范围.
最新试题
热门考点