已知函数f(x)=sinx平方+2倍根号3sin(x+派/4)cos(x-派/4)-cosx平方-根号3．

f(x)=(sinx)^2+2√3sin(x+π/4)cos(x-π/4)-(cosx)^2-√3=-((cosx)^2-(sinx)^2)+√3(sin(x+π/4+x-π/4)+sin(x+π/4-(x-π/4))-√3=-cos(2x)+√3sin(2x)+√3-√3=√3sin(2x)-cos(2x)=2sin(2x-π/6)(1)最小正周期：2...