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前苏联数学家雅诺夫斯卡娅说:“解题——就是意味着把所要解决的问题转化为已经解过的问题.”因此,当所要解决的问题找不到突破口时,思维就应该跳出原问题,把要解决的问题通过一系列的转化,化归为一类已经解决或比较容易解决的问题,通过对新问题的研究,使原问题得以解决.在教学过程中笔者总结了几种常见的转化策略,例析如下.1数与形的转化作为一种数学思想方法,数形结合的应用大致又可分为两种情形:或者借助于数的精确性来阐明
Former Soviet mathematician Janovskaya said: “Solving problems - it means turning the problem to be solved into a solved problem. ” Therefore, when the problem to be solved can’t find a breakthrough, thinking It is necessary to jump out of the original problem and classify the problem to be solved through a series of transformations into a class of problems that have been solved or relatively easy to solve. Through the study of new problems, the original problem can be solved. The author concludes in the teaching process. Several common conversion strategies are exemplified as follows. 1 Transformation of Numbers and Shapes As a mathematical thinking method, the application of number and shape combinations can be broadly divided into two cases: or by means of the accuracy of numbers.