f(x)=2cosxsin(x+派/6)+2sinxcos(x+派/6) =2cosxsin(x+π/6)+2sinxcos(x+π/6)=2sin(x+π/6+x)=2sin(2x+π/6)0≤x≤π→0≤2x≤2π→π/6≤2x＋π/6≤2π＋π/6→-2≤2sin(2x+π/6)≤2f(x)的值域[-2,2]...