函数y=2sin(2x-π3)的单调增区间为()A.[kπ-π6,kπ+5π6](k∈Z)B.[2kπ-π6,2kπ+5π6](k∈Z)C.[kπ-π12,kπ+5π12](k∈Z)D.[2kπ-π6

题目简介

函数y=2sin(2x-π3)的单调增区间为()A.[kπ-π6,kπ+5π6](k∈Z)B.[2kπ-π6,2kπ+5π6](k∈Z)C.[kπ-π12,kπ+5π12](k∈Z)D.[2kπ-π6

题目详情

函数y=2sin(2x-
π
3
)的单调增区间为(  )
A.[kπ-
π
6
,kπ+
6
](k∈Z)
B.[2kπ-
π
6
,2kπ+
6
](k∈Z)
C.[kπ-
π
12
,kπ+
12
](k∈Z)
D.[2kπ-
π
6
,2kπ+
12
](k∈Z)
题型:单选题难度:偏易来源:不详

答案

由-class="stub"π
2
+2kπ≤2x-class="stub"π
3
class="stub"π
2
+2kπ得,kπ-class="stub"π
12
≤x≤kπ+class="stub"5π
12
 (k∈z),
∴函数的单调增区间是[kπ-class="stub"π
12
,kπ+class="stub"5π
12
](k∈z),
故选C.

更多内容推荐