3.并集與交集的運算性質(zhì)
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并集的運算性質(zhì)
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交集的運算性質(zhì)
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A∪B=B∪A
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A∩B=B∩A
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A∪A=A
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A∩A=A
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A∪∅=A
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A∩∅=∅
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1.設集合M={-1,0,1},N={0,1,2},則M∪N=________,M∩N=________.
{-1,0,1,2} {0,1} [∵M={-1,0,1},N={0,1,2},∴M∩N={0,1},M∪N={-1,0,1,2}.]
2.若集合A={x|-3<x<4},B={x|x>2},則A∪B=________.
{x|x>-3} [如圖:
故A∪B={x|x>-3}.]
3.滿足{1}∪B={1,2}的集合B可能等于________.
{2}或{1,2} [∵{1}∪B={1,2},∴B可能為{2}或{1,2}.]
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并集概念及其應用