问题
填空题
若A={0,1,2},B={1,2,3},C={2,3,4},则(A∩B)∪(B∩C)=______.
答案
∵A={0,1,2},B={1,2,3},C={2,3,4},
∴A∩B={1,2},B∩C={2,3},
∴(A∩B)∪(B∩C)={1,2}∪{2,3}={1,2,3}.
故答案:{1,2,3}.
若A={0,1,2},B={1,2,3},C={2,3,4},则(A∩B)∪(B∩C)=______.
∵A={0,1,2},B={1,2,3},C={2,3,4},
∴A∩B={1,2},B∩C={2,3},
∴(A∩B)∪(B∩C)={1,2}∪{2,3}={1,2,3}.
故答案:{1,2,3}.