若A⊂B,A⊂C,B={0,1,2,3},C={0,2,4,8},则满足上述条件的集合A为_.
问题描述:
若A⊂B,A⊂C,B={0,1,2,3},C={0,2,4,8},则满足上述条件的集合A为______.
答
∵A⊂B,A⊂C,
∴A⊆(B∩C),
∵B={0,1,2,3},C={0,2,4,8},
∴B∩C={0,2},
∴A=Φ,{0},{2},{0,2}.
故答案为Φ,{0},{2},{0,2}.