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数学中现有的陈题,经过千锤百炼,已比较完善。但是,我们在现有陈题基础上所设计的新题,往往会存在一些缺陷。最常见的缺陷有五种:潜含逻辑矛盾、题意不确切、条件不充分、条件不独立、条件过剩,这里所说的“条件”是指一道题中的已知条件的信息和允许运算的信息,而“结论”则是指其中的目标信息。现在对这些常见缺陷分别讨论如下: 一、潜含逻辑矛盾一道数学题的逻辑矛盾,往往是潜含的。可能是表现在条件或结论本身的自相矛盾,如题1;也可能是表现在条件与结论之间的相互
The existing problems in mathematics have been refined and refined. However, the new problems we have designed on the basis of the existing themes often have some flaws. There are five kinds of the most common defects: hidden logic contradictions, inaccurate questions, inadequate conditions, conditions are not independent, excess conditions, here referred to as a “condition” refers to the information of a condition known in the question and allow calculations Information, and “conclusion” refers to the target information. Now these common defects are discussed separately as follows: 1. Logical Contradictions A logical contradiction in a mathematics problem is often hidden. May be self-contradictory in terms of conditions or conclusions, such as Question 1; it may also be a manifestation of mutuality between conditions and conclusions.