构造法在高等数学解题中的应用

The Application of the Structural Method in HigherMathematical Problem Solving

构造法是最具活力的数学转化方法之一.它最大的特点是:依据问题给出的信息,作恰当的加工处理,并构造与原问题相关的数学模型,从而达到解题的目的.熟练掌握构造法,不仅可以提高学生解决问题能力,还可以培养他们的创新及多元化思维.为此,本文将结合实例对几种常见的数学构造方法在解题中的应用展开详细阐述.

The structural method is one of the most dynamic methods of mathematical transformation.Its biggest feature is:according to the information given by the problem,it is properly processed and constructed,and the mathematical model related to the original problem is constructed,so as to achieve the purpose of solving the problem.Mastering the structural method not only improves students'problem-solving skills,but also cultivates their innovative and diversified thinking.To this end,this paper will elaborate on the application of several common mathematical construction methods in problem solving based on examples.