f(x)=4cosx*sin（x+π/6)-1=4cosx(sinx*√3/2+cosx*1/2)-1=2√3sinxcosx+2(cosx)^2-1=√3sin2x+cos2x=2sin(2x+π/6)1.求f(x)的最小正周期 T =π2.x∈[-π/6,π/4]则2x+π/6∈[-π/6,2π/3]最大值：y=2sin(π/2)=2最...