高考数列题的考题分析与解题方法研究

AbstractThe number sequence problem is an important content of high school mathematics andone of the hot spots of the college entrance examination.The common test method of thenumber sequence is to solve the general term formula of the sequence and the sum of the firstn items.On the basis of the questions related to the sequence in the paper,the analysis of thequestion type of the college entrance examination series is carried out from the perspective ofthe test site and the proposition idea,and on this basis,the mathematical ideas reflected in thequestion of the college entrance examination series are summarized,and the college entranceexamination for the past five years is obtained The three main mathematical ideas reflected inthe series questions are "transformation and reduction thoughts,classification discussionideas and function and equation ideas".The core part of the article is described by caseanalysis,and the method of solving the problem of the college entrance examination series isanalyzed by the example of the real question.Finally,the method of solving the problem issummarized.Key words:Arithmetic progression;geometric progression;solution approach一2