问题 选择题 函数y=sin(2x-π3)的单调递减区间是( )A.[kπ+π6,kπ+2π3](k∈Z)B.[2kπ+5π12,2kπ+11π12](k∈Z)C.[2kπ+π6,2kπ+2π3](k∈Z)D.[kπ+5π12,kπ+11π12](k∈Z) 答案 令2x-π3∈[2kπ+π2,2kπ+3π2],解得x∈[kπ+5π12,kπ+11π12](k∈Z)故选D.