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[学业水平训练]
一、填空题
(2014·高邮市高一期中试题)集合A={1,2,4,6,7},B={3,4,5,7},则A∩B=________.
解析:A、B的共有元素为4,7,∴A∩B={4,7}.
答案:{4,7}
(2014·泰州中学高一期中试题)已知集合A={2,5,6},B={3,5},则集合A∪B=________.
答案:{2,3,5,6}
已知集合A={1,2,3,4},B={2,4,7,8},C={1,3,4,5,9},则集合(A∪B)∩C=________.
解析:因为A∪B={1,2,3,4,7,8},
所以(A∪B)∩C={1,3,4}.
答案:{1,3,4}
设全集U={1,2,3,4,5},A={1,3,5},B={2,3,5},则
∁U(A∩B)等于________.
解析:易知A∩B={3,5},则∁U(A∩B)={1,2,4}.
答案:{1,2,4}
若全集U={0,1,2,3,4},集合A={0,1,2,3},B={2,3,4},则(∁UA)∪(∁UB)=________.
解析:∁UA={4},∁UB={0,1},
故(∁UA)∪(∁UB)={0,1,4}.
答案:{0,1,4}
设全集U=R,A={x|x0},B={x|-11},∴A∩∁UB={x|x>1}.
已知全集U={x|x≤4},集合A={x|-2