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构造法是数学学习中重要的思想方法之一,也是训练学生发散思维,培养学生创造意识和创新思维的手段之一。在数学竞赛中有着广泛的应用,纵观每届数学竞赛都存在不同类型的数学问题应用构造的思想方法来解答及证明。本文通过构造函数、构造方程、构造图形、构造数列等思想方法举例说明构造法的应用。旨在探讨培养学生的解题思想方法,训练学生的思维,增强学生的思维的灵活性,开拓性和创造性。
Constructivism is one of the important ways of thinking in mathematics learning. It is also one of the means to train students to diverge their thinking and train students to create consciousness and creative thinking. It has a wide range of applications in mathematics competitions. Throughout each mathematical contest there are different types of mathematical methods to apply the construction of the thinking method to answer and prove. This article illustrates the application of tectonic method by means of constructive function, constructing equation, constructing graph and constructing series. The purpose of this article is to explore ways of cultivating students ’thinking and solving problems, train students’ thinking, and enhance their flexibility, pioneering and creativity.