f(x)=sinx^2+sinxcosx=(1/2)[1-cos2x+sin2x]=(1/2)-(√2/2)sin(2x-π/4) =(1/2)-cos(2x+π/4)2x-π/4=0 x=π/8 2x+π/4=0 x=-π/8 T=2π/2=πf(π/8)=(1/2) 对称中心（π/8,1/2) 对称轴x=-π/8+kπ,k整数