数学中反证法的应用  

Application of reduction to absurdity in mathematics

作　　者：杨婷[1] 

机构地区：[1]兰州职业技术学院,甘肃兰州730050

出　　处：《佳木斯教育学院学报》2013年第3期133-134,共2页Journal of Jiamusi Education Institute

摘　　要：在数学中,反证法作为一种证明方法极具重要性,常用来解决一些极难下手的命题证明其存在性、否定性以及唯一性等。本篇论文先简单介绍了反证法的定义概念,又具体分析了反证法的种类和解题步骤,并以实际案例阐述了反证法在数学中的应用。在实际运用中,反证法必须要能对结论正确的否定,必须对推理特点要明确,同时还要了解矛盾的种类。In mathematics, reduction to absurdity as a proof method is very importance, commonly used to solve some very difficult to start the proposition to prove its existence and uniqueness, negative. This paper firstly introduces the definition of reduction to absurdity, and a detailed analysis of the types and solving steps of reduction to absurdity, and expounds the application of reduction to absurdity in mathematics with the real case. In practice, the reduction to absurdity must be able to correct the negative conclusion, must be clear on the reasoning characteristics, also to understand the kind of contradiction.

关 键 词：反证法 应用 证明 矛盾 

分 类 号：G642[文化科学—高等教育学]