题目
题型:单选题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817080031-65855.png)
A.{x|x≤0} | B.{x|2≤x≤4} | C.{x|0≤x<2或x>4} | D.{x|0<x≤2或x≥4} |
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817080031-38111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817080031-64437.png)
∴x≥0,
∴A={x|x≥0};
又x2﹣6x+8≤0⇔(x﹣2)(x﹣4)≤0,
∴2≤x≤4.
∴B={x|2≤x≤4},
∴∁RB={x|x<2或x>4},
∴A∩∁RB={x|0≤x<2或x>4},
故选C.
核心考点
试题【(2013•湖北)已知全集为R,集合,则A∩∁RB=( )A.{x|x≤0}B.{x|2≤x≤4}C.{x|0≤x<2或x>4}D.{x|0<x≤2或x≥4}】;主要考察你对集合运算等知识点的理解。[详细]
举一反三
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A.![]() |
B.![]() |
C.![]() |
D.![]() |
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A.(-∞,1) | B.(1, + ∞) | C.![]() | D.![]() |
A.[﹣4,+∞) | B.(﹣2,+∞) | C.[﹣4,1] | D.(﹣2,1] |
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A.![]() | B.![]() | C.![]() | D.![]() |