学习数学的核心是解题,而解题时应选择怎样的方法是解题者十分关注的问题,对于某些分式结构或可以转化成分式结构的题目我们经常采用分离常数的方法来求解,下面就分离常数后的若干思维路径进行总结,供参考.1.利用函数的单调性【例1】已知a≠0,n∈N+,在(ax+1)2n和( x+a)2n+1的展 The core of learning mathematics is solving problems, and what method should be chosen when solving a problem is a problem that the solver pays close attention to. For some fractional structures or topics that can be transformed into a component structure, we often use the method of separating constants to solve. The following is a summary of several thinking paths after separation of constants for reference. 1. Use the monotonicity of functions [Example 1] Know that a≠0, n∈N+, in (ax+1)2n and (x+a)2n +1 show