
设全集U={1,2,3,4,5,6,7,8},A={1,2,3},B={3,4,5,6}.(1)求A∪B,A∩B,?U(A∪B),?U(
设全集U={1,2,3,4,5,6,7,8},A={1,2,3},B={3,4,5,6}.(1)求A∪B,A∩B,?U(A∪B),?U(A∩B);(2)求?UA,?UB....
设全集U={1,2,3,4,5,6,7,8},A={1,2,3},B={3,4,5,6}.(1)求A∪B,A∩B,?U(A∪B),?U(A∩B);(2)求?UA,?UB.
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(1)∵全集U={1,2,3,4,5,6,7,8},A={1,2,3},B={3,4,5,6},
∴A∪B={1,2,3,4,5,6},A∩B={3},
则?U(A∪B)={7,8},?U(A∩B)={1,2,4,5,6,7,8};
(2)∵全集U={1,2,3,4,5,6,7,8},A={1,2,3},B={3,4,5,6},
∴?UA={4,5,6,7,8},?UB={1,2,7,8}.
∴A∪B={1,2,3,4,5,6},A∩B={3},
则?U(A∪B)={7,8},?U(A∩B)={1,2,4,5,6,7,8};
(2)∵全集U={1,2,3,4,5,6,7,8},A={1,2,3},B={3,4,5,6},
∴?UA={4,5,6,7,8},?UB={1,2,7,8}.
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