f(x)=2cosx*(1/2*sinx+√3/2*cosx)-√3sin²x+sinxcosx=sinxcosx+√3*cos²x-√3sin²x+sinxcosx=2sinxcosx+√3(cos²x-sin²x)=sin2x+√3cos2x=2(1/2*sin2x+√3/2*cos2x)=2sin(2x+π/3)(1)令2k...