设集合A={x||x-a|2,x属于R},若A真包含于B,则实数a,b必须满足
A |a+b|=3
c |a-b|=3
人气:434 ℃ 时间:2019-12-28 10:59:32
解答
解-1小于x-a小于1得a-1小于x小于a+1
解x-b大于2或x-b小于-2得x大于2+b或x小于b-2
因为A真包含于B
所以a+1小于等于b-2或a-1大于等于b+2
解得a-b小于等于-3或a-b大于等于3
所以|a-b|大于等于3
所以选D
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