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证明是数学知识得以确证的唯一方式,在中学数学中占有重要的地位,而要顺利证题,必须捕捉题目中蕴涵的各种信息,一种完美、流畅的证明思路,是以成功获取信息为前提的.本文主要阐述了中学数学证明中的信息运用及不同信息量的数学证明的教育价值,意在通过数学证明,训练和培养学生逻辑思维和非逻辑思维能力.
Proof is the only way to confirm the mathematic knowledge, which plays an important role in the mathematics of middle school. To successfully prove the subject, we must capture the various kinds of information implied in the subject. A perfect and smooth proof of thinking is based on the successful acquisition of information as Preconditions.This paper mainly expounds the educational value of the use of information and mathematical information of different amounts of information in the mathematics proof of secondary school, and aims to prove and train students’ logical thinking and non-logical thinking ability through mathematics.