f(x)=(√3/2)sin2wx+(1/2)cos2wx+1/2
=sin(2wx+π/6)+1/2
T=2π/2w=π
得:w=1
所以,f(x)=sin(2x+π/6)+1/2
则:f(2π/3)=sin(4π/3+π/6)+1/2
=sin(3π/2)+1/2
=-1/2
f(x)=(√3/2)sin2wx+(1/2)cos2wx+1/2
=sin(2wx+π/6)+1/2
T=2π/2w=π
得:w=1
所以,f(x)=sin(2x+π/6)+1/2
则:f(2π/3)=sin(4π/3+π/6)+1/2
=sin(3π/2)+1/2
=-1/2