解析：∵函数f(x)=2cosxsin(x+π/3)-√3sin^2x+sinxcosx

函数f(x)=2cosxsin(x+π/3)-根号3sin²x+sinxcosx 已知函数f（x）=2cosxsin（x+ π/3 ）- √3 sin²x+sinxcosx 已知函数f(x)=2cosxsin(x+60°)-根号3sin^2x+sinxcosx 已知函数f(x)=2cosxsin(x+π/3)-根号3sin^2x+sinxcosx+2(x∈R), 已知函数f(x)=2cosxsin(x+π/3)-√3sin^2x+sinxcosx求函数f(x)的最小正周期及最值 已知函数f(x)=2cosxsin(x+π/3)-√3sin²x+sinxcosx,求函数f（x）的最大值、最 已知函数f(x)=2cosxsin(x+π/3)-√3(sinx)^2+sinxcosx 已知函数y=2cosxsin(x+π/3)-根号3 *(sin^2) x +sinxcosx 设函数f(x)=2cosxsin(x+π/3)-根号3sin^2x+sinxcosx,x属于[0,π/2],求f(x)的 已知函数f(x)=2cosxsin(x+π/3)-根号3sin^2x+sinxcosx,求方程f（x）=x/50π的个数 已知函数f(x)=2cosxsin(x+π/3)-根号3sin^2x+sinxcosx 当x∈[0,π/4]时,f(x) 已知函数f(x)=2cosxsin(x+π/3)-根号3sin^2x+sinxcosx,求函数F(X)的对称轴对称中心