设集合a=(x|kπ+π/3≤x≤kπ+π ,k属于z),b=(x|-2≤x≤2)则a交b 等于?详解.

问题描述:

设集合a=(x|kπ+π/3≤x≤kπ+π ,k属于z),b=(x|-2≤x≤2)则a交b 等于?详解.

A={ x | kπ+π/3 ≤ x ≤ kπ+π,k∈Z }
= {x | ……,或 -2π/3 ≤ x ≤ 0 ,或 π/3 ≤ x ≤ π,或……}
∴A∩B= {x| -2≤ x ≤ 0 或 π/3 ≤ x ≤ 2 }