集合A={x||x-2|≤2,x∈R},B={y|y=﹣x²,﹣1≤x≤2},则A∩B的实数补集___满足A∪B={0,2}的集合A与B的组数为____已知集合P={x|x(x-1)≥0},Q={x|1/(x-1)>0},则P∩Q=_____
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![集合A={x||x-2|≤2,x∈R},B={y|y=﹣x²,﹣1≤x≤2},则A∩B的实数补集___满足A∪B={0,2}的集合A与B的组数为____已知集合P={x|x(x-1)≥0},Q={x|1/(x-1)>0},则P∩Q=_____](/uploads/image/z/10396957-13-7.jpg?t=%E9%9B%86%E5%90%88A%3D%7Bx%7C%7Cx-2%7C%E2%89%A42%2Cx%E2%88%88R%7D%2CB%3D%7By%7Cy%3D%EF%B9%A3x%26%23178%3B%2C%EF%B9%A31%E2%89%A4x%E2%89%A42%7D%2C%E5%88%99A%E2%88%A9B%E7%9A%84%E5%AE%9E%E6%95%B0%E8%A1%A5%E9%9B%86___%E6%BB%A1%E8%B6%B3A%E2%88%AAB%3D%7B0%2C2%7D%E7%9A%84%E9%9B%86%E5%90%88A%E4%B8%8EB%E7%9A%84%E7%BB%84%E6%95%B0%E4%B8%BA____%E5%B7%B2%E7%9F%A5%E9%9B%86%E5%90%88P%3D%7Bx%7Cx%28x%EF%BC%8D1%29%E2%89%A50%7D%2CQ%3D%7Bx%7C1%2F%28x%EF%BC%8D1%29%EF%BC%9E0%7D%2C%E5%88%99P%E2%88%A9Q%3D_____)
集合A={x||x-2|≤2,x∈R},B={y|y=﹣x²,﹣1≤x≤2},则A∩B的实数补集___满足A∪B={0,2}的集合A与B的组数为____已知集合P={x|x(x-1)≥0},Q={x|1/(x-1)>0},则P∩Q=_____
集合A={x||x-2|≤2,x∈R},B={y|y=﹣x²,﹣1≤x≤2},则A∩B的实数补集___
满足A∪B={0,2}的集合A与B的组数为____
已知集合P={x|x(x-1)≥0},Q={x|1/(x-1)>0},则P∩Q=_____
集合A={x||x-2|≤2,x∈R},B={y|y=﹣x²,﹣1≤x≤2},则A∩B的实数补集___满足A∪B={0,2}的集合A与B的组数为____已知集合P={x|x(x-1)≥0},Q={x|1/(x-1)>0},则P∩Q=_____
(1)|x-2|≤2
-2≤x-2≤2
0≤x≤4
∴A={x|0≤x≤4}
y=-x²,-1≤x≤2
∴ymax=0,ymin=-4
∴B={y|-4≤y≤0}
∴A∩B={0}
其补集为(-∞,0)∪(0,+∞)
(2)A∪B={0,2}
A{0} {0} {2} {2} 空集 {2,0} {2,0} {2,0}
B{2} {0,2} {0} {2,0} {0,2} {0} {2} 空集
同时还有一组:{0,2},{0,2}
共9组
(3)x(x-1)≥0
x≥1或x≤0
1/(x-1)>0
x-1>0
x>1
∴P∩Q=x>1
X>1
A={x|0≤x≤4},B={y|y=﹣x²,﹣1≤x≤2}=={y|-4≤x≤0},
所以A∩B={0},A∩B的实数补集是不等于零的实数。
因为A∪B={0,2},A={0},B={2};A={0},B={0,2};A={2},B={0};A={2},B={0,2};A={0,2},B={0,2}.
P={x|x(x-1)≥0}={x|x≥1或x≤0},Q={x|1/(x-1)>0}={x|x>1},所以P∩Q={x|x>1},