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解决数学问题时,首先要从记忆中提取有关信息,即从头脑中回忆有关的知识点,主要是找出相关的公式、定理、基本解题模式等解题依据,然后思考怎样将这些信息进行有效组合,即所谓的加工处理,这就需要掌握一些数学思想和方法,而这一切常常在一瞬间完成,称为解题的“点子”.有时候,我们能想出各种各样的“点子”来解决某个数学问题.
When solving mathematical problems, we must first extract relevant information from memory, that is, recall relevant knowledge points from the mind, mainly to find out relevant formulas, theorems, and basic problem-solving patterns, etc., and then think about how to carry out these information. An effective combination, the so-called processing, requires the mastery of some mathematical ideas and methods, all of which are often completed in an instant and are called “piplets” for solving problems. Sometimes we can think of various kinds of “ Ideas” to solve a mathematical problem.