此类问题用：Acosx+Bcosx=√(A²+B²)sin(x+φ) (tanφ=B/A) √3/2cosx+1/2sinx=√[(√3/2)²+(1/2)²)sin(x+φ) =sin(x+φ) ∵tanφ=√3/3∴φ=π/6∴√3/2cosx+1/2sinx=sin(x+π/6)...