【题文】设全集是实数集,集合,,则为( )A.B.C.D.
题型:难度:来源:
答案
【答案】C
解析
【解析】
试题分析:∵
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322193910-65942.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322193910-30384.png)
或
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322193911-10972.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322193911-34210.png)
,∵
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322193911-77807.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322193912-71357.png)
,
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322193912-80173.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322193912-85290.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200322/20200322193912-85354.png)
.
考点:1.一元二次不等式的解法;2.对数不等式的解法;3.集合的补集、交集运算.
举一反三
【题文】设集合M={-1,0,1},N={x|x
2≤x},则M∩N=______.
【题文】集合M={x|lg x>0},N={x|x
2≤4},则M∩N=________.
【题文】已知集合M={0,1,3},N={x|x=3a,a∈M},则M∪N=( )
A.{0} | B.{0,3} | C.{1,3,9} | D.{0,1,3,9} |
【题文】设M={x|y=ln(x-1)},N={y|y=x
2+1},则有( )
A.M=N | B.M∩N=M |
C.M∪N=M | D.M∪N=R |
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