∵y=f(x)的图像过点(2π/3,0)∴sin(2wπ/3)=0∴2wπ/3=kπ(k∈Z)==>w=3k/2,k∈Zf(x)=sinwx在区间（0,π/3）上是增函数==>w>0由-π/2≤wx≤π/2==>-π/(2w)≤x≤π/(2w)即sinwx的一个增区间为[-π/(2w),π/(2w)]∴（0...