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#29276ef1-8969-4836-a371-d80da6543a9c中等解答题交集定义与运算集合与常用逻辑用语

21.当mmnZn\in Z时,定义运算\bigotimes:当mmn>0n>0时,mn=m+nm\bigotimes n=m+n;当mmn<0n<0时,mn=mnm\bigotimes n=m\cdot n;当m>0m>0n<0n<0m<0m<0n>0n>0时,mn=mnm\bigotimes n=\vert m\cdot n\vert;当m=0m=0时,mn=nm\bigotimes n=n;当n=0n=0时,mn=mm\bigotimes n=m.在此定义下,若集合A={(m,n)mn=4}A=\{(m,n)\vert m\bigotimes n=4\},则AA中元素的个数为 [ 14 ].

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