妙用逆向思维,巧设辅助函数

Makes the Auxiliary Function With the Negative Thinking

本文根据求导与求积分互为逆运算的关系,利用逆向思维,通过求解微分方程,从而构造出辅助函数F(x),得到了证明存在一个ξ,使得G(,ξf(ξ),f′(ξ))=0一类问题的统一求解方法.

This article according to the derivation and the quadrature mutually for the inverse operation relations, the use negative thinking, through solution differential equation, thus the structure leaves auxiliary function F（x）, obtained the proof to have one ξ, caused a G（ξ,f（ξ） ,f＇（ξ） ） =0 kind of question the unification solution method.