f(x)=sin²x+cosx=1-cos²x+cosx=-cos²x+cosx+1令t=cosx因为x∈[-π/3,4π/3),所以t=cosx∈（-1/2,1]f(x)=-t²+t+1对称轴为t=1/2,开口向下.所以当t=1/2时,f(x)max=5/4.当t=-1/2时,f(x)=1/4.所以f(x...