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所谓的构造法是指某些数学问题用常规方法一时难以解决(或者解次起来很复杂)的情况下,我们根据命题的条件和结论的特征、性质,改变思维角度,另辟新径,用已知的数学关系为“基石”构造出满足条件和结论的数学对象。在新构造的数学对象中,原问题中德晦不清的数学关系能够清晰地表现出来,从而达到快捷解题的目的。常见的构造法有:构造辅助函数、构造辅助数列、构造方程、构造图形、构造向量、构造时偶式、构造数学情景等等。
The so-called tectonic method is that some of the mathematical problems with the conventional method of temporary difficult to solve (or the solution times complicated), according to the proposition conditions and conclusions of the characteristics, nature, change the thinking point of view, open a new path, with Known mathematical relationships construct math objects that satisfy conditions and conclusions for “cornerstone ”. In the newly constructed mathematical object, the mathematic relationship between the original problem and the dark one can be clearly demonstrated so as to achieve a quick solution to the problem. Common construction methods are: constructing auxiliary functions, constructing auxiliary sequences, constructing equations, constructing graphics, constructing vectors, constructing duality, constructing mathematical scenarios and so on.