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读了贵刊 2 0 0 0年第 1 0期上《也谈巧求一类最值》一文后 ,最初的感觉是文中对函数的变形有一定的技巧 ,但随后发现文中对函数的变形是从下面这个等式得到的 :ab+cd=12 [(a+c) (b+d) +(a- c) (b- d) ].经探求 ,本文得到如下定理 .定理 已知函数 H(x) =af(x) +bg(x)且满足 (a
After reading the article in the 10th issue of the 2000 issue of the Journal of China, the original feeling was that the text had some skill in transforming the function, but then it was discovered that the deformation of the function was From the following equation: ab+cd=12 [(a+c) (b+d) + (a- c) (b- d)]. After searching, we obtain the following theorem. Theorem Known function H (x) = af (x) + bg (x) and satisfies (a