问题
选择题
已知全集U,集合A⊆B⊆U,则有( )
A.A∩B=B
B.A∪B=A
C.(∁UA)∩(∁UB)=∁UB
D.(∁UA)∪(∁UB)=∁UB
答案
∵A⊆B⊆U∴A∩B=A,故选项A不正确;
A∪B=B,故选项B不正确;
(∁UA)∩(∁UB)=∁U(A∪B)=∁UB,故选项C正确;
(∁UA)∪(∁UB)=∁U(A∩B)=∁UA,故选项D不正确
故选C
已知全集U,集合A⊆B⊆U,则有( )
A.A∩B=B
B.A∪B=A
C.(∁UA)∩(∁UB)=∁UB
D.(∁UA)∪(∁UB)=∁UB
∵A⊆B⊆U∴A∩B=A,故选项A不正确;
A∪B=B,故选项B不正确;
(∁UA)∩(∁UB)=∁U(A∪B)=∁UB,故选项C正确;
(∁UA)∪(∁UB)=∁U(A∩B)=∁UA,故选项D不正确
故选C
短文填空。(每小题1分,共10分。用方框中的词的正确形式填空,将短文补充完整(注意大小写)。
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