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在求解函数与方程的问题中,往往会出现一些除变量外完全相同的结构式,解题时若能利用其同构的特点,寻求与问题的某种内在联系,深刻分析、正确思维和丰富联想,使之简单明了,起到化简、转化和桥梁作用,从而找到解决问题的思路、方法.这体现了数学中发现、类比、化归等思想,渗透着猜想、试验、探索、概括等重要方法,是一种富有创造性的解决问题的方法.本文列举函数、不等式、数列中的常见问题解析如下.题型一:利用同构特点解决方程问题
In the process of solving functions and equations, there are often some structural formulas except for the variables. If we can use the characteristics of their isomorphism when solving problems, we can seek some intrinsic connection with the problems, analyze profoundly, correct thinking and rich associations , Make it simple and clear, play the role of simplification, transformation and bridge, so as to find the way and method of solving the problem, which embodies the idea of discovery, analogy and conversion in mathematics, infiltration of conjecture, experiment, exploration, summarization and other important Method, is a creative way to solve the problem.This article lists the function, inequality, common problems in the sequence as follows.Question 1: the use of isomorphism to solve the problem of equations