f(π/6)=asinπ/3+2(cosπ/6)^2+1=(√3/2)a+2×(3/4)+1=4a=√3此时：f(x)=√3sin2x+cos2x+2=2sin(2x+π/6)+22x+π/6=kπ; x=kπ/2-π/12对称中心坐标为(kπ-π/12,2)当x∈[-π/4,π/4],2x+π/6∈[-π/3,2π/3]2x+π/...