题目内容

13.若B={0,1,2,3,4,7,8},C={0,3,4,7,9},则满足A⊆B,A⊆C的集合A有∅,{0},{3},{4},{7},{0,3},{0,4},{0,7},{3,4},{3,7},{4,7},{0,3,4},{0,3,7},{0,4,7},{3,4,7},{0,3,4,7}.

分析 由题意,B∩C={0,3,4,7},A⊆B∩C,即可得出结论.

解答 解:由题意,B∩C={0,3,4,7},A⊆B∩C,
∴A=∅,{0},{3},{4},{7},{0,3},{0,4},{0,7},{3,4},{3,7},{4,7},{0,3,4},{0,3,7},{0,4,7},{3,4,7},{0,3,4,7}.
故答案为:∅,{0},{3},{4},{7},{0,3},{0,4},{0,7},{3,4},{3,7},{4,7},{0,3,4},{0,3,7},{0,4,7},{3,4,7},{0,3,4,7}.

点评 本题考查集合的关系与运算,考查学生的计算能力,比较基础.

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