【题文】已知集合,,且, ,,求集合和.
题型:难度:来源:
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151612-86557.png)
.
解析
【解析】
试题分析:首先化简集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151612-64210.png)
,再根据集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151612-47849.png)
、
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151612-86314.png)
与集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151612-64210.png)
的关系逐步确定集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151612-47849.png)
、
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151612-86314.png)
,解题时注意运用集合的反演律:
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151612-45319.png)
简化运算.
试题解析:
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151613-52780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151613-79782.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151613-59286.png)
.又
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151613-95685.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151614-23915.png)
.
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151614-73935.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151614-53758.png)
.
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151614-27701.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151614-20177.png)
.
考点:集合间交、并、补运算关系的逻辑判断及 反演律的运用.
举一反三
【题文】设全集为R,集合
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151458-31399.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151459-56586.png)
.
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151459-17926.png)
;
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151459-97572.png)
,若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151459-82931.png)
,求实数
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151500-85916.png)
的取值范围.
【题文】如图,阴影部分表示的集合是( )
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151405-14255.jpg)
(A)B∩ [C
U (A∪C)] (B)(A∪B)∪ (B∪C)
(C)(A∪C) ∩( C
UB) (D)[C
U (A∩C)]∪B
【题文】 已知集合A={x|2x-1≤0},B={x|x-a<0}.若
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151352-79503.png)
,则实数a的取值范围( )
【题文】已知全集U=A∪B中有m个元素,(?
UA)∪(?
UB)中有n个元素.若A∩B非空,则A∩B的元素个数为( )
A.m-n B.
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151311-11473.png)
C.
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322151311-59462.png)
D.n-m
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