在处理比较复杂的数学问题时,分类讨论法是经常采用的方法之一.但若形成了思维定势,对所有较为复杂的数学题,都采用分类讨论法,都不去考虑数学问题本身的结构特点和所隐含的数学解题思想方法,势必会增加解题的运算量,误入歧途,于事无补.【例1】定义在R上的奇函数f( x) ,当x∈[0 When dealing with more complex mathematical problems, the classification discussion method is one of the frequently used methods. However, if the thinking tendency is formed, the classification discussion method is adopted for all the more complicated math problems, and the mathematical problem itself is not considered. Structural features and implied ways of thinking about mathematical problem solving will inevitably increase the amount of problem solving and misconduct. There is no way to supplement the problem. [Example 1] The odd function f(x) defined on R is used when x∈[ 0