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所谓“存在性探究问题”就是探索满足确定条件的某一数学对象(如点、数值等)是否存在.“存在”就是有满足确定条件的数学对象,此时需要求出它们来;“不存在”则需说明理由.由于存在性探究问题中的结论成立与否对问题的解决有直接的影响,所以如果事先能够探明“结论”就显得至关重要了.我们知道,“对普遍情况适用的对其中的特殊情况也必能适用;这是逻辑方面的常识.…从特殊到普遍,是我们获得知识的最基本的途径”.~([1])所以解决存在性探究问题的
The so-called “existence inquiry problem” is to explore the existence of a certain mathematical object (such as point, value, etc.) that satisfies certain conditions. “Existence” is a mathematical object that satisfies certain conditions. At this time, it is necessary to find them. ;“Does not exist” must explain why. Because the existence or absence of the conclusion in the problem of the inquiry has a direct impact on the solution of the problem, so if you can “proceed” the “conclusion” is essential. We know that “the special circumstances applicable to the prevailing circumstances must also be applicable to this; this is a common sense in logic.... From the special to the universal, it is the most basic way we obtain knowledge”.”~([1] ) So to solve the problem of existential inquiry