在韦恩图上，对表示 A' ∩ B 的区域进行阴影涂色。答案使用上述韦恩图，画出集合 C，使得 C ⊂ A, A ∩…

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完整解法

1. Identify and shade the required region

$A' \cap B$ means the elements that are not in $A$ but are in $B$ .

So shade the region inside circle $B$ excluding the overlap with circle $A$ .

答案

Shade the part of circle $B$ that is outside circle $A$ only.

1. Interpret the three conditions for the position of $C$

$C \subset A$ means $C$ must be drawn entirely inside circle $A$ .

$A \cap C \ne \varnothing$ means $C$ must contain at least one element in common with $A$ , so $C$ must be non-empty.

$n(B \cap C)=0$ means $C$ must not overlap with $B$ .

2. Draw $C$ in the only suitable region

Since $C$ is inside $A$ but has no overlap with $B$ , draw $C$ wholly in the region

$A \cap B'.$

This is the part of circle $A$ outside circle $B$ .

答案

Draw a non-empty circle or closed region labelled $C$ completely inside the part of $A$ that does not overlap with $B$ , i.e. inside $A \cap B'$ .

AI 分析，可能出错

用 AI 批改，圈出写错的那一步，并自动将你的薄弱点存入错题本，形成你的错因库。