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在解答数学问题时,我们利用构造法的实质,通过观察,分析出问题的内在联系和结构特征,适当的构造数学模型,利用新的数学模型,找到获解的方法,构造法是数学解题中一种重要的教学方法,充分体现了发现、类比、归化的数学思想,它在数学解题中有简化、转化和桥粱的作用。本文从构造函数、数列、方程组、几何图形、特例、向量等解题方法,通过实例,分析了数学教学中构造法的作用和运用以及构造法的独特性和简便性,不仅能提高学生分析问题的创新能力,还能培养学生对数学的兴趣。
In solving mathematics problems, we use the essence of the construction method, through observation, to analyze the intrinsic connection and structural characteristics of the problem, construct the appropriate mathematical model, and use the new mathematical model to find the solution method. The construction method is a mathematical problem solving One of the important teaching methods fully embodies the mathematical ideas of discovery, analogy, and naturalization. It simplifies, transforms, and bridges the role of mathematical solutions. This article from the constructor function, series, equations, geometry, special cases, vectors and other methods of solving problems, through examples, analysis of the role and use of construction methods in mathematics teaching and construction method is unique and simple, not only can improve student analysis The innovative ability of problems can also cultivate students’ interest in mathematics.