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配偶法是构造思想指导下的解数学题的方法之一种。它在解某些数学问题时,针对题中的某个式子F的特点,配上F的对偶式F′,然后借助F与F′的运算(如F+F′,F-F′,F·F′,F÷F′,F±iF′,F′±iF等等),促使问题转化和解决。这种凭借配上题中某式的对偶式来解决问题的方法称为配偶法。配偶法的解题过程可用框图表示如下: 下面,我们通过中学数学中的一些典型例子,介绍配偶法解题的几种常见类型。
The spouse method is one of the methods for solving mathematics problems under the guidance of the construction thought. It solves some mathematics problems, for the characteristics of a certain formula F in the question, coupled with F’s dual formula F′, and then by means of F and F′ operations (such as F+F′, FF′, F· F’, F÷F’, F±iF’, F’±iF, etc.), prompting the transformation and resolution of the problem. This method of solving the problem by fitting a certain type of equation in the formula is called the spouse method. The problem solving process of the spouse method can be represented as follows: Below, we introduce some common types of problems in the spouse method through some typical examples in middle school mathematics.