所谓极端思想方法,是指在解决一个问题时,以一种极端的视角审视问题,通过挖掘内隐在问题之中的极端数量关系、极端位置性质、问题反向情形等来求解问题方法.本文拟结合具体实例,谈谈这种极端思想方法在解题中的运用,以资同学们参考.一、析取极端数值解决一些数学问题的关键,有时只需析取其中的某个极端数值.如解决某些涉及多元的数学问题,或是恒成立、存在等一类问题,常常 The so-called extreme thinking method means to solve the problem by examining the problem with an extreme perspective and solving the problem by digging the extremum relations of the implicit in the problem, the nature of the extreme position, the inverse situation of the problem, etc. To combine specific examples, to talk about the use of this extreme thinking in problem solving, with reference to the students.One, the key to extract extreme values ​​to solve some mathematical problems, sometimes only need to extract one of the extreme values. Such as solving some of the mathematical problems involving multiple, or permanent establishment, existence and other issues, often