已知全集U={1,2,3,4,5,6,7,8,9},A包含于U,B包含于U,且(CuA)∩B={1,9},(CuA)∩(CuB)={4,6,8}根据上述条件能否求出A或B?若能,求出它们;若不能,简要说明理由.
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![已知全集U={1,2,3,4,5,6,7,8,9},A包含于U,B包含于U,且(CuA)∩B={1,9},(CuA)∩(CuB)={4,6,8}根据上述条件能否求出A或B?若能,求出它们;若不能,简要说明理由.](/uploads/image/z/949932-36-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%85%A8%E9%9B%86U%3D%7B1%2C2%2C3%2C4%2C5%2C6%2C7%2C8%2C9%7D%2CA%E5%8C%85%E5%90%AB%E4%BA%8EU%2CB%E5%8C%85%E5%90%AB%E4%BA%8EU%2C%E4%B8%94%EF%BC%88CuA%29%E2%88%A9B%3D%7B1%2C9%7D%2C%EF%BC%88CuA%EF%BC%89%E2%88%A9%EF%BC%88CuB%EF%BC%89%3D%7B4%2C6%2C8%7D%E6%A0%B9%E6%8D%AE%E4%B8%8A%E8%BF%B0%E6%9D%A1%E4%BB%B6%E8%83%BD%E5%90%A6%E6%B1%82%E5%87%BAA%E6%88%96B%3F%E8%8B%A5%E8%83%BD%2C%E6%B1%82%E5%87%BA%E5%AE%83%E4%BB%AC%EF%BC%9B%E8%8B%A5%E4%B8%8D%E8%83%BD%2C%E7%AE%80%E8%A6%81%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1.)
已知全集U={1,2,3,4,5,6,7,8,9},A包含于U,B包含于U,且(CuA)∩B={1,9},(CuA)∩(CuB)={4,6,8}根据上述条件能否求出A或B?若能,求出它们;若不能,简要说明理由.
已知全集U={1,2,3,4,5,6,7,8,9},A包含于U,B包含于U,且(CuA)∩B={1,9},(CuA)∩(CuB)={4,6,8}
根据上述条件能否求出A或B?若能,求出它们;若不能,简要说明理由.
已知全集U={1,2,3,4,5,6,7,8,9},A包含于U,B包含于U,且(CuA)∩B={1,9},(CuA)∩(CuB)={4,6,8}根据上述条件能否求出A或B?若能,求出它们;若不能,简要说明理由.
能求出
(CuA)∩B={1,9},(CuA)∩(CuB)={4,6,8}
CuA={1,4,6,8,9}
A={2,3,5,7}
B={1,9}或{1,9,2}或{1,9,3}或{1,9,5}或{1,9,7}或{1,9,2,3}或{1,9,2,5}或{1,9,2,7}或{1,9,3,5}或{1,9,3,7}或{1,9,5,7}或{1,9,2,3,5}或{1,9,2,3,7}或{1,9,2,5,7}或{1,9,3,5,7}或{1,9,2,3,5,7}
(CuA)∩B={1,9},B中有1,9,A中无
(CuA)∩(CuB)={4,6,8},都无468,又因为全集U={1,2,3,4,5,6,7,8,9},A包含于U,B包含于U,所以A中有2,3,5,7,9 B中有1,2,3,,5,7,8,9
根据题意,(CuA)∩B应包含于(CuA)∩(CuB),但{1,9}不包含于{4,6,8},所以此命题是错的。