(1) An Analytical Formula for Finding f(x)

Analysis: There are (1) even functions (2)x = 1 in the condition (3) function (4) parameter A that defines the domain (x).

First, take x= 1 as the symmetry axis.

∫x = 1 is the symmetry axis.

∴f(x)=f(2-x)

∫x

It is known that the domain of g(x) is, so it is necessary to discuss 2-x in a classified way.

①2 x's

x

f(x)=g(2-x)=-ax+2x3

2 times the time

x [0， 1] -x

f(x)=f(-x)=ax-2x3