y=f(x)+√(1-2f(x))则:1-2f(x)≥0f(x)≤1/2又因为:f(x)的值域[3/8,9/4 ]所以:3/8≤f(x)≤1/2令t=√(1-2f(x))f(x)=-(1/2)t^2+1/2y=-(1/2)t^2+t+1/2配方:y=-(1/2)(t-1)^2+1结合其图像可以判断:t=3/8时有最小值101/128t=1/2时有最大值7/8