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有些数学题在设问(包括图形)之间存在内在的辩证关系.如特殊与一般、抽象与具体、无限与有限的关系等.如果能准确抓住这条暗藏的线索,则可以从一般的、抽象的、无限的情形“退”到特殊的、具体的、有限的情形,因为后者更为简单或更便于研究.同时,特殊的、具体的、有限的情形也可以为一般的、抽象的、无限的情形提供对比、借鉴与启示,从而顺利打开解题思路.或者正好反之,先研究一般的、抽象的、无限的“弱化”情形,再“强化”到特殊的、具体的、有限的情形.
Some math problems inherent in the query (including graphics) dialectical relationship between, such as special and general, abstract and specific, unlimited and limited relationship, etc. If we can accurately grasp this hidden clues, you can from the general , Abstract, infinite situation “retreat ” to special, specific, limited circumstances, because the latter is more simple or more convenient to study.At the same time, special, specific, limited circumstances can also be general , Abstract, unlimited circumstances provide contrast, reference and inspiration, so as to successfully open the problem-solving ideas.On the contrary, the first study of the general, abstract, infinite “weakening ” situation, and then “strengthening” to special Specific, limited circumstances.