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解数学问题时,如果直接解题难以入手,或者由原问题的条件难以直接得到原问题的结论,那么思想不应当停顿在原问题上,而应当将原问题换一个方式、换一个角度、换一种观点考虑,使在这种新的方式、角度或观点下,问题变得更清晰、更明朗、更接近于问题的解决.这就是转化思想.下面介绍一些常用的转化方法. 一、陌生与熟悉的转化 解题时往往从考察新问题的结构、特点入手,横向回想与之形似的某些熟知情境及处理方法,或纵向联想类似解决过的问题及解决方式.
When solving mathematics problems, if it is difficult to solve the problem directly, or if it is difficult to obtain the conclusion of the original problem directly from the conditions of the original problem, then the idea should not be paused on the original problem, but the original problem should be changed in one way, another angle, and changed This kind of perspective makes it possible to make the problem clearer, clearer, and closer to the solution of the problem under this new approach, perspective, or viewpoint. This is the idea of transformation. Here are some commonly used methods of transformation. Familiar transformation problems often begin by examining the structure and characteristics of new problems, horizontally recalling certain well-known familiar situations and processing methods, or similar problems solved in vertical associations and solutions.