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有些问题可从条件出发,通过推理,直达结论,称为正面求解法。当正面求解遇到困难时,思考未知量的反面情况,即从条件的反面去进行思考,通过求解反面而抵达正面。这类似于反证法的思想,灵活应用正与反的转化策略,可避繁就简,获得巧妙的解法。
Some problems can start from the conditions, through reasoning, reach the conclusion, called the positive solution method. When the positive solution is difficult, consider the opposite of the unknown, that is, think from the opposite of the condition, and reach the front by solving the negative. This is analogous to the idea of counter-evidence. It is flexible in applying the transformation strategies of being positive and negative. It can avoid complications and simplify and obtain clever solutions.