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辩证唯物主义告诉我们:普遍性(一般性)寓于特殊性之中,没有特殊性就没有普遍性(一般性),特殊能在一定范围内反映或体现一般.鉴于此,在分析和解决有关代数式的化简或求值题中,我们可以用特殊值去验证、否定、猜想……在各类数学考试,尤其是在数学竞赛中,有相当一部分题目可以利用特殊值法来解决,这样既少花时间又效果极佳.下面通过几个具体的例子来加以说明.
Dialectical materialism tells us that universality (generality) lies in particularness, that there is no universality (generality) in the absence of particularity, and that specialness can be reflected or reflected in a certain range in general. In view of this, in the analysis and solution of algebraic formulas We can use special values to verify, negate, guess ... In a variety of math exams, especially in mathematics competition, a considerable number of topics can be solved by using special value method, so that both less Spend time and excellent results. Here are some specific examples to illustrate.