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构造法是根据数学问题的条件或者结论的特征,以问题中的数学关系为框架,以问题的数学元素为“元件”,构造出新的数学对象或者数学模型,从而使问题转化并得到解决的方法.这里所说的“元件”可以是:方程(组)、函数、代数式、不等式、几何图形、公式、向量、复数、算法与命题,甚至于构造类比问题使问题转化,并得到解决.要明确,构造“元件”是手段,转化问题是策略,解出数学问题是目的.
The construction method is based on the conditions of mathematical problems or the characteristics of conclusions. It takes the mathematical relationship in the problem as the framework and uses the mathematical elements of the problem as the “elements” to construct a new mathematical object or mathematical model, so that the problem can be transformed and solved. Methods. The “elements” mentioned here can be: equations (groups), functions, algebraic expressions, inequalities, geometrical figures, formulas, vectors, complex numbers, algorithms, propositions, and even construction analogy problems that turn problems into solutions. Clearly, constructing “elements” is a means. Transforming problems is a strategy. Solving mathematical problems is the goal.