gaokao 2021 Q2

gaokao · China · national-II Probability Definitions Set Operations
2. Let $U = \{ 1,2,3,4,5,6 \} , A = \{ 1,3,6 \} , B = \{ 2,3,4 \}$. Then $A \cap \left( \complement_U B \right) =$
A. $\{ 3 \}$
B. $\{ 1,6 \}$
C. $\{ 5,6 \}$
D. $\{ 1,3 \}$
【Answer】B 【Solution】 【Analysis】Use the definitions of intersection and complement to find $A \cap \left( \complement_U B \right)$. 【Detailed Solution】From the given conditions, $\complement_U B = \{ 1,5,6 \}$, so $A \cap \left( \complement_U B \right) = \{ 1,6 \}$, Therefore, the answer is: B.
2. Let $U = \{ 1,2,3,4,5,6 \} , A = \{ 1,3,6 \} , B = \{ 2,3,4 \}$. Then $A \cap \left( \complement_U B \right) =$\\
A. $\{ 3 \}$\\
B. $\{ 1,6 \}$\\
C. $\{ 5,6 \}$\\
D. $\{ 1,3 \}$

【Answer】B\\
【Solution】\\
【Analysis】Use the definitions of intersection and complement to find $A \cap \left( \complement_U B \right)$.\\
【Detailed Solution】From the given conditions, $\complement_U B = \{ 1,5,6 \}$, so $A \cap \left( \complement_U B \right) = \{ 1,6 \}$, \\
Therefore, the answer is: B.\\