f(x)=-√3sin²x+sinxcosx
＝√3/2cos2x+1/2sin2x-1/2
=sin(2x+π/3)+1/2
T=2π/2=π
f(π/6)=sin(π/3+π/3)+1/2=(1+√3)/2
最大值=3/2啊，我懂了