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数学中的反例,是指符合某个命题的条件,而又不符合该命题结论的例子.简单地说,反例是一种指出某命题不成立的例子.在数学教学中,反例有着重要的地位和意义,它是一种常用的教学手段和方式.恰当地运用反例,助于学生发现和认识数学理论,理解和掌握数学基础知识,也能帮助学生培养缜密、发散性思维,提高思维的全面性.一、反例在初中数学教学中的运用1.运用反例来间接证明命题的真假如果一个数学命题是真命题,它必定经过认真的分析与严密的证明,适合于一定条件下的所有情况.也就是说,
Counterexamples in mathematics refer to the cases that meet the conditions of a certain proposition but do not accord with the conclusion of the proposition.In brief, counterexample is an example that indicates that a certain proposition is not established.In counterexample, mathematics teaching plays an important role and Meaning, it is a commonly used teaching methods and methods. Proper use of counter-examples, to help students find and understand mathematical theory, understanding and mastery of basic knowledge of mathematics, but also to help students develop meticulous, divergent thinking, to improve the comprehensiveness of thinking First, the counterexample in the junior high school mathematics teaching 1. The use of counterexamples to indirectly prove the truth or false proposition If a mathematical proposition is a true proposition, it must undergo a careful analysis and rigorous proof, suitable for all conditions under certain conditions. In other words,