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何谓“解后思”?一道数学题经过一番艰辛,苦思冥想解出答案之后,必须认真进行如下探索:命题的意图是什么?考核我们哪些方面的概念、知识和能力?验证解题结论是否正确合理,命题所提供的条件的应用是否完备?求解论证过程是否判断有据,严密完善?本题有无其他解法?众多解法中哪一种最简捷?把本题的解法和结论进一步推广,能否得到更有益的普遍性结论——举一反三,多题一解……如此种种,就是“解后思”。许多同学做完题,因为学习态度和心理状
What is a “solve after thinking”? After a mathematics problem has gone through some hardships, and after meditation to solve the answer, we must seriously explore as follows: What is the intention of the proposition? What are our concepts, knowledge, and abilities? Verify that the problem-solving conclusion is correct Reasonable, whether the application of the conditions provided by the proposition is complete? Whether the solution process is judged well-founded, tightly improved? Is there any other solution to the problem? Which one of the many solutions is the most simple? How can the solution and conclusion of the problem be further promoted? The more useful universality of the conclusions—by analogy, multi-question, and solution—is so-called “thinking afterwards”. Many students finished the question because of their attitude and psychological attitude