问题
选择题
若集合A={0,1,2,x},B={1,x2},A∪B=A,则满足条件的实数x有( )
A.1个
B.2个
C.3个
D.4个
答案
答案:B
∵A={0,1,2,x},B={1,x2},A∪B=A,∴B⊆A,∴x2=0或x2=2或x2=x,解得x=0或或-或1.经检验当x=或-时满足题意,故选B.
若集合A={0,1,2,x},B={1,x2},A∪B=A,则满足条件的实数x有( )
A.1个
B.2个
C.3个
D.4个
答案:B
∵A={0,1,2,x},B={1,x2},A∪B=A,∴B⊆A,∴x2=0或x2=2或x2=x,解得x=0或或-或1.经检验当x=或-时满足题意,故选B.