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构造法是数学中很重要的一种化归手段,在解题中被广泛应用。构造法的实质就是依据某些数学问题的条件或结论所具有的典型特征,用己知条件中的因素和数学关系,在思维中构造出一种新的数学形式,利用具体问题的特殊性,为待解决的问题设计一个合理的框架,从而使问题转化并得到解决的方法。用构造思想方法解题有助于培养学生敏锐的观察力,加强学生解题的灵活性。另外,构造法是一种富有创造性的解题方法,用构造法解题,经常打破常规手段、另辟蹊径,表现出独创新颖的特点,是创新型思维的一种表现。本文试图从构造法在实际数学问题中的应用入手,通过分析典型例题,归纳合理运用构造法的技巧,并总结构造思想在数学中的渗透和培养。
Construction method is a very important method in mathematics, which is widely used in solving problems. The essence of constructivism is to construct a new mathematical form in thinking based on the typical characteristics of the conditions or conclusions of some mathematical problems and using the factors and mathematical relations in the known conditions to make use of the particularity of specific problems, To solve the problem of designing a reasonable framework, so that the problem is transformed and resolved. Problem solving with constructive thinking helps to develop students ’keen observation skills and enhance students’ flexibility in solving problems. In addition, the construction method is a creative method of solving problems, using construction method to solve problems, often breaking the conventional means, another way, showing the unique innovative features, is a manifestation of innovative thinking. This article tries to start with the application of the construction method to the actual math problems, summarizes the skills of using the construction method rationally by analyzing typical examples, and summarizes the infiltration and cultivation of the construction thought in mathematics.