f(x)=sin(2x+φ)+√3cos(2x+φ)=2sin(2x+φ+π/3)因为图像关于直线x=π/6对称,所以π/3+φ+π/3=kπ+π/2 φ=5π/6f(x)=2sin(2x+7π/6)x∈(0,π/2),2x+7π/6∈(7π/6,13π/6),当x=π/6,2x+7π/6=3π/2时 f(x)取得最...