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反证法在初等数学中不但得到广泛应用,就是在高等数学中也是不可缺少的一种重要论证方法。所以,只有搞清理论、弄清实质,学生方能掌握方法、灵活运用。但在中学阶段,学生对反证法的论证基础与反证法的逻辑原理不明,致使在证题中只能依样画瓢、机械套用。有时甚至连自己所得证明也怀疑起来,也就难怪学生在解题中尽量回避。甚至该用而不敢用。本文想就反证法的论证基础与反证法的逻辑原理等问题,谈谈个人的一些粗线看法。
The counterevidence method is not only widely used in elementary mathematics, but also an indispensable important argumentation method in higher mathematics. Therefore, only by clarifying theories and clarifying the essence can the students master the methods and use them flexibly. However, in the middle school stage, the student’s argumentation basis for the counterevidence method and the logic principle of the counter-evidence method are unknown, so that only the painting, the scooping and the mechanical application can be used in the testimony. Sometimes even the proof of their own income is skeptical, it is no wonder that students try to avoid the problem. Even the use can not be used. This article would like to talk about some of the individual’s thick line views on the argumentation basis of counter-evidence and the logic principle of counter-evidence.