A=2,最小正周期T=4,w=π/4.
f(1)=2sin^2(π/4+α)
f(2)=2sin^2(π/2+α)=2cos^2(α)
f(3)=2sin^2(3π/4+α)=2cos^2(π/4+α)
f(4)=2sin^2(π+α)=2sin^2(α)
f(1)+f(2)+f(3)+f(4)=2[sin^2(π/4+α)+cos^2(π/4+α)]+2[sin^2(α)+cos^2(α)]=4
f(1)+f(2)+f(3)+…+f(100)=25[f(1)+f(2)+f(3)+f(4)]=25*4=100