数学中的反例是指符合某个命题的条件,但是又不符合该命题结论的例子.也就是一种指出某命题不成立的例子.反例运用在判断题和选择题这两类题型中比较多,如果要想检验一句话正确与否,我们可以列举出一个满足该命题条件的反面例子来证明这句话是错误的.在数学发展史上,恰当地反例推进了数学前进的步伐,反例和证明在数学中的地位同等重要.数学的探究学习主要是提出证明过程和构成反例,一个数学真命题需要在所给定的条件下,运用严密的方法以及逻辑推理来得 Counterexamples in mathematics refer to the conditions that accord with a certain proposition, but they are not in conformity with the conclusion of the proposition, that is, an example that indicates that a certain proposition is not established. , If we want to test whether a sentence is correct or not, we can cite a negative example that satisfies the conditions of the proposition to prove that this sentence is wrong .In the history of mathematics, properly counterexampled to advance the pace of mathematics, counter-examples and proof In mathematics, the status is equally important.Mathematical inquiry learning is mainly to prove the process and constitute a counterexample, a mathematical real propositions need to be given under the conditions, the use of rigorous methods and logical reasoning