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作为数列极限的应用,现行教材中有不少涉及“无限”的几何问题,这类问题往往都归结到如何去找符合题意的数列;而要探求出这些数列的通项,除需要具备一些有关的基础知识和较基本的技巧外,更多的情况下却需要有较熟练的递归技巧,这里举几个例子阐述递归思想在解涉及“无限”的几何问题中的作用.
As the application of the series limit, there are many geometric problems involving “infinity” in the current teaching materials. Such problems often come down to how to find the series that meet the meaning of the questions. To explore the general terms of these series, in addition to the need to have some In addition to the basic knowledge and basic techniques, there are more situations where more skilled recursive techniques are needed. Here are a few examples of the role of recursive thinking in solving geometric problems involving “infinity”.