一道高中数学毕业会考数列解答题的多种解法与教学建议  

Various solusion methods of a question on number series for senior high school mathematics graduation examination with some teaching advice

作　　者：夏顺友 王常春 陈治友[3] 汪少祖 李艳琴 XIA Shun-you;WANG Chang-chun;CHEN Zhi-you;WANG Shao-zu;LI Yan-qin(School of Mathematics and Big Data,Guizhou Education University,Guiyang 550018,Guizhou,China;Department of Mathematics,Zunyi Normal College,Zunyi 563006,Guizhou,China;College of Mathematics and Information Scienc,Guiyang University,Guiyang 550005,Guizhou,China)

机构地区：[1]贵州师范学院数学与大数据学院,贵州贵阳550018 [2]遵义师范学院数学学院,贵州遵义563006 [3]贵阳学院数学与信息科学学院,贵州贵阳550005

出　　处：《贵阳学院学报（自然科学版）》2020年第2期100-105,共6页Journal of Guiyang University：Natural Sciences

基　　金：国家自然科学基金(项目编号:11561013,11761023,71961003);贵州师范学院博士基金(项目编号:2018BS005);贵州省科技厅联合基金(项目编号:黔科合LH字[2016]7031,[2017]7223号)。

摘　　要：本文分析了2019年贵州省高中数学毕业会考试卷最后一道关于数列的解答题所涵盖的核心知识、思想方法和答题情况,给出了该题的多种解法,并提出关于各种数学中数列的一些教学建议以供教学参考。This paper analyzes the core knowledge,thoughts and methods of solving the last question about the sequence of numbers in the 2019 Guizhou senior high school mathematics graduation examination paper,and gives a variety of methods of solution to the question,and puts forward some teaching suggestions on the sequence of numbers in various mathematics for teaching reference.

关 键 词：数列 等差数列 柯西不等式 

分 类 号：O122.7[理学—数学]