UC知道"运用放缩思想解数列求和问题的研究"用英语怎么说？不要在线翻译哦
来源：百度知道 编辑：UC知道 时间：2024/05/22 14:08:03
数列求和问题是数列的基本内容之一，也是高考的热点和重点。在近几年的高考卷中，对数列求和的考查推陈出新，越来越重视能力，这就要求我们要针对不同的数列求和问题掌握一定的方法和技巧。可是学生对于此类题的处理方法常用的是数学归纳法和一般的不等式放缩，往往做到中途就不了了之。笔者深受启发，以数列和形式出现的不等式证明不仅考查灵活运用求和方法的能力,也考查了证明中放缩的技巧。利用递推公式求通项,对通项进行分析来求数列和,这是学生已掌握的方法；对通项进行合理放缩,转化为可求和的形式来证明数列不等式是笔者本文试图探求的问题。本文结合例题分析给出几种有效解决方法，使学生们在解证这类题时，能沟通并灵活运用所学数列知识，巧妙的将数列通项进行适当的放缩，有目的的“奔向”这些“目标”， 使得其便于求和，快速获解问题。
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Series summation problem is that the basic contents of series one of the hot spots and focus on college entrance examination. In recent years, the college entrance examination in volume, the sum of the test series of new, more emphasis on capacity, which requires us to address a number of different issues out to master a certain sum of methods and techniques. But the students to deal with such questions is a commonly used method of mathematical induction and the general inequality of the zoom is often done on the half-way up. Inspired by the author in order to form series and prove that the inequality is not only flexibility in the use of sum test methods, but also to examine the proof of the zoom
Skills. The use of recursive formula for general term for the analysis to be passed out for a few and, it is the students have mastered the method; to be passed to a reasonable zoom, can be transformed into the form of summation series to prove that inequality is the author of this ar