构造法在中学数学中的应用摘要 新课标要求中学生在学习数学的过程中要能够体会所运用到的数学思想方法，构造法作为一种传统而基本的数学思想方法之一，对于学生数学知识的学习起着非常重要的指导作用，同时构造法对教师具备的教学素养与能力以及学生的自主学习能力有很高的要求。笔者通过问卷调查与访谈部分中学生及其数学教师发现，初中学生对于数学构造法的了解程度非常低，教师对于构造法的关注度及使用频率也都并不高。本文通过文献分析法归纳了构造法的常见应用类型，主要对构造法在向量、函数 、几何图形等方面的应用展开论述，总结出构造法的特点、解题步骤以及优势。实践证明构造法可以提升学生的数学思考能力，提高中学数学的学习效率，同时可以培养学生的创新意识、创新能力。最后 ，对于如何更好地将构造法应用到中学数学中，使之发挥其应有的作用，本文从教师和学生的角度分别提出了一些合理的建议。关键词 构造法 构造思想 中学数学 教学建议 创造思维The application of construction method in middle school mathematicsAbstract The new curriculum standard requires middle school students to be able to understand the mathematical thinking methods used in the process of learning mathematics. As one of the traditional and basic mathematical thinking methods, the construction method plays a very important role in guiding students' learning of mathematical knowledge. At the same time, the construction method has high requirements for teachers' teaching literacy and ability as well as students' independent learning ability. Through the questionnaire survey and interviews with some middle school students and their mathematics teachers, the author found that the junior high school students' understanding of mathematical construction method is very low, and the teachers' attention and use frequency of construction method are not high. This paper summarizes the common application types of construction method through literature analysis, mainly discusses the application of construction...
