高中数列问题中的数学思想方法技巧.doc

PAGE  高中数列问题中的数学思想方法 摘 要 数列是高中数学的重要内容，在高考中占有重要的地位.数列问题中蕴含思想方法十分丰富，掌握这些思想方法有助于提高解决数列问题的能力.本文分析了高中数列知识的重点，难点，热点等问题，研究了数列问题中蕴含的函数思想、方程思想、分类讨论思想等数学思想方法，并给出了一些典型例题.这些研究将有助于提高老师对数列知识的教学水平，并且提高了学生解决数列问题的能力. 关键词：数列问题；数学思想；方法 The number of columns in high school mathematical thinking problem Abstract： The number of columns is an important part of high school mathematics, occupies an important position in the entrance. The number of columns in question contains a way of thinking is very rich, master these ideological approach helps improve the ability to solve the series problem. This paper analyzes the high school series knowledge of major and difficult , hot spots and other issues, the number of columns to study the function of ideological issues inherent in the equation thinking, thinking, etc. classification discussion of mathematical thinking, and gives some typical examples. these studies will help to increase the number of columns teacher teaching knowledge level, and improve the ability of students to solve the problem of the number of columns. Keywords: Number Sequence; mathematical thinking; method 目 录 TOC \o 1-3 \h \z \u   HYPERLINK \l _Toc420414205 1 引言  PAGEREF _Toc420414205 \h 1  HYPERLINK \l _Toc420414206 2 文献综述  PAGEREF _Toc420414206 \h 1  HYPERLINK \l _Toc420414207 2.1 国内外研究现状  PAGEREF _Toc420414207 \h 1  HYPERLINK \l _Toc420414208 2.2 国内外研究现状评估  PAGEREF _Toc420414208 \h 1  HYPERLINK \l _Toc420414209 2.3 提出问题  PAGEREF _Toc420414209 \h 2  HYPERLINK \l _Toc420414210 3 数列的重点，难点，热点问题  PAGEREF _Toc420414210 \h 2  HYPERLINK \l _Toc420414212 3.1 重点???—等差与等比数列的基础知识  PAGEREF _Toc420414212 \h 2  HYPERLINK \l _Toc420414213 3.2 热点——数列求和与求通项  PAGEREF _Toc420414213 \h 3  HYPERLINK \l _Toc420414214 3.3 难点——和项与通项间的递推关系  PAGEREF _Toc420414214 \h 5  HYPERLINK \l _Toc420414215 4 数列问题中的数学思想方法  PAGEREF _Toc420414215 \h 6  HYPERLINK \l _Toc420414216 4.1 函数思想  PAGEREF