问题
选择题
设集合A∩{-1,0,1}={0,1},A∪{-2,0,2}={-2,0,1,2},则满足上述条件的集合A的个数为( )
A.1
B.2
C.3
D.4
答案
∵A∩{-1,0,1}={0,1},
∴0∈A,且1∈A,且-1∉A
又∵A∪{-2,0,2}={-2,0,1,2},
则A={0,1},或A={-2,0,1},或A={2,0,1},或A={-2,0,1,2},
故选C
设集合A∩{-1,0,1}={0,1},A∪{-2,0,2}={-2,0,1,2},则满足上述条件的集合A的个数为( )
A.1
B.2
C.3
D.4
∵A∩{-1,0,1}={0,1},
∴0∈A,且1∈A,且-1∉A
又∵A∪{-2,0,2}={-2,0,1,2},
则A={0,1},或A={-2,0,1},或A={2,0,1},或A={-2,0,1,2},
故选C