摘    要 在高考数学问题中构造法应用十分广泛。简单而言，在数学问题解决中，构造法就是基于数学的基本思想通过细致地观察，深入的分析从而构造出相应的数学模型最终使问题得以解决。构造作为一种灵活性很强的解题方法并没有一定的固定模式。常见的构造法主要有构造图形、构造函数、构造方程（组）、构造数列、构造向量等。在数学发展史中构造法除应用于对经典数学的概念、定理寻找构造性解释之外，随着近代科学技术的飞速发展，构造法也愈来愈广泛地应用于开发构造性数学的新领域。本文就高考数学问题中构造法的应用重点阐述以下几个问题：90180

一、高中阶段的数学构造法。主要讲述了数学思想与数学方法之间的关系；利用数学构造思想，界定构造法；并对高中阶段学生涉及的与构造相关的主要数学思想进行一些阐述。

二、构造法解题的应用。将数学构造法中典型的运用呈现出来，主要呈现了构造图形，构造函数，构造方程（组），构造坐标系，构造数列，构造向量，构造恒等式在解题中的具体运用。分析各个构造方法的特点与优势，并结合具体例题深化认知。

三、构造法解题的误区。讲述了构造法解题中可能存在的三种误区，在解题过程中分析构造法使用的不合理之处。

四、构造法解题的优点。构造是一种富有创造性思维的数学思想方法。合理的运用构造法将使得解题变得得心应手。分三个方面对构造法解题的优点及作用加以阐述。

Abstract In the college entrance examination mathematical problems, the construction method is very extensive。 In simple terms, in the solution of mathematical problems, the construction method is based on the basic idea of mathematics through careful observation, in-depth analysis to construct the corresponding mathematical model to finally solve the problem。 As a flexible method of problem solving, there is no fixed pattern。 Common construction methods are construction graphics, structural function, structural equations, construction sequence and constructing vector。 In the history of mathematics development, the construction method is applied to the concept and theorem of classical mathematics。 With the rapid development of modern science and technology, the construction method is more and more widely used in the development of structural mathematics field。 In this paper, the application of the construction method in the college entrance examination problem focuses on the following questions:

First, some mathematical construction method used in high school。 This part mainly deals with the relationship between mathematical thought and mathematical method。 It constructs the construction method by using the idea of mathematical construction。 And some elaboration of the main mathematical thoughts related to the construction in the high school students。

Second, use constructive method to solve problem。 The typical application of mathematical constructive method is presented, which mainly presents the concrete application of construction pattern, constructor, construction equation (group), construction coordinate system, construction sequence, construction vector and construction identity。 Analyze the characteristics and advantages of each construction method, and deepen cognition with specific examples。

Third, introduce the wrong of using structural methods to solve problems, this paper describes three possible errors in the construction problem solving problem, and analyzes the irrationality of the construction method in the process of problem solving。

Fourth, introduce the advantages of problem solving。 Structure is a kind of creative thinking mathematical thinking method。 Using a reasonable construction method will make the problem solving become handy。 The advantages and effects of the construction method are expounded in three aspects。