反证法是对数学命题进行间接证明的一种有效方法,无论在初等数学中还是高等数学中都有广泛应用.数学中的一些重要结论,从最基本的一些性质,定理到某些难度较大的世界名题往往都是用反证法证明的,一般的诸如结论本身以否定形式出现的命题,某些存在性命题以及限定式命题证明,结论以至多“至少”等形式出现的命题,以及结论的反面比原始结论更具体更容易研究的命题都常用反证法来证比较方便简单.本文通过具体实例来体 Proof-of-evidence is an effective way of indirectly proving mathematical propositions, and it is widely used in both elementary mathematics and advanced mathematics.Many important conclusions in mathematics range from some basic properties and theorems to some more difficult Most of the world’s titles are proved by the anti-card law, and general propositions such as the conclusion itself appears in the negative form, some existential propositions and the definite propositions prove that the conclusions appear in the form of at least “at least ” and the conclusion The opposite of the original conclusion more specific and easier to study the propositions are often used to prove the more convenient and simple method.Through the concrete example body