The Application Of Reduction To Absurdity In Mathematics Study

Reduction to absurdity is an important mathematical proof methods,when some problems we cannot solve this article from the front,the reduction to absurdity is provides an effective solution,by its reasonable proposition of set,to increase the premise of deductive reasoning,which makes the known conditions often relying only on the title to blind the problem solving status,is there room to the back,reduction to absurdity of this kind of effect is the other way is to replace.Mathematical transformation studies tend to reflect a kind of thinking,so we can use the reverse mathematics thinking method to deal with our daily math problems.This paper introduces the application of reduction to absurdity in mathematics,not only introduces the application of reduction to absurdity in the middle school mathematics,also notes that in higher mathematics application rolle's theorem and the proof of fermat's theorem,mostly highlights the training of the reverse thinking,its unique way of thinking to cultivate students' logical thinking,divergent thinking,creative thinking and other three kinds of ability is of very important significance,but also exercise the student thought the flexibility and the many important material.This paper expounds the relevant concept of reduction to absurdity,logical reasoning and classification.Secondly discusses the reduction to absurdity in mathematics in middle school scope of application and proof of several kinds of typical problems in higher mathematics,this also is the main content of this article.Finally in fact,any kind of method is applied as the first priority,we began to learn it,get to know it,master it in the end,we finally learn to use reduction to absurdity to solve more practical problems.Then this paper discusses the application of reduction to absurdity should pay attention to some problems,to really use a good reduction to absurdity is not an easy thing.Finally studied the learning value and puts forward some application of reduction to absurdity,proves its unique way of thinking and to cultivate our logical thinking and creative thinking is of great significance,so we study the reduction to absurdity is necessary.