构造法在数学解题中的应用本科学位论文

浅谈构造法在解题中的应用内容摘要数学思想方法在中学数学教学中有着十分关键的地位，在高中数学教学中，构造思想方法是一种极具制造性的数学思想方法，它充分渗透在其他的数学思想方法之中。利用构造法解题可以更直观，更简单的解决比较复杂的数学问题。鉴于此，本文的重点主要体现在构造法在解题中的应用上。具体来说，本文将重点阐述以下几个问题：构造法的理论简介及应用:如构造函数、构造向量、构造数列、构造方程、构造几何模型、构造递推关系式、构造等价命题等。 【关键词】 数学解题 构造法 数学问题 Construction method in solving problemsAbstractMathematical way of thinking in mathematics teaching in secondary schools has a very key position.mathematics teaching in high school,structure of thinking is a highly creative mathematical thinking.It fully permeate into other mathematical way of thinking.Solving Problems by construction can be more intuitive and easier to solve complicated mathematical problems.In view of this, This article focuses mainly in the construction method in solving problems. Specifically,this article focuses on the following issues:the definition of construction method,In Algebra: Construction expression and formula, structural equation, structural relationship, constructors, construction proposition, construction sequence, structural model, structural vector, etc. 【Key words】 Mathematical problem solving Construction method Math problems目 录一、引言...............................................................................................1二、构造法的理论简介.......................................................................1（一）构造法.....................................................................................................1（二）构造法的历史过程....................................................................................2（三）构造法的特征..........................................................................................2三...