f(x)是二次函數(shù),且f(2+x)是偶函數(shù),
關于直線x=2對稱,可設為f(x)=a(x-2)²+n
又f(0)=3,f(2)=1,
4a+n=3,n=1 a=1/2,n=1
f(x)=(1/2)(x-2)²+1
f(x)在[0.m]上取最大值3,最小值1,
2≤m≤4
則m的取值范圍為[2,4]