解数学题离不开逻辑推理,可以说所有的数学问题都是逻辑问题. 但是,一般的数学问题有一种已知的解题步骤,而这里所要介绍的逻辑趣题却既无定理可作依据,又无公式直接套用,也无明显的通法可循,需要解题者根据题目提供的有关信息(不给或很少给出数量关系),通过逻辑推理寻找问题的答案.这类问题是培养、测试逻辑思维能力的一种很好的题型,在数学竞赛中经常出现,现举例说明推理的基本方法. Solving mathematics problems is inseparable from logical reasoning. It can be said that all mathematical problems are logic problems. However, general mathematical problems have a known problem-solving step. However, the logical questions to be introduced here have no theorems. There is no formula to apply directly, there is no obvious way to follow, the problem solver needs to provide the relevant information according to the title (do not give or rarely give the quantitative relationship), through logical reasoning to find the answer to the problem. Such problems are A good question model for cultivating and testing logical thinking skills often appears in mathematics competitions. Here is an example of the basic method of reasoning.