1、结 束,第一部分 层级二 数列,专题过关检测,考点一 二 三,高考大题通法点拨,创新应用,数学文化,结 束,年份,卷别,考查内容及考题位置,卷,等差数列通项公式、前n项和公式T4,卷,数学文化、等比数列概念、前n项和公式T3,等差数列通项公式、前n项和公式、裂项相消法求和T15,卷,等差数列通项公式、前n项和公式及等比中项T9,等比数列通项公式T14,卷,等差数列基本运算T3,等比数列运算及二次函数最值问题T15,卷,等差数列通项公式、前n项和公式、创新问题T17,卷,数列递推关系、等比数列通项公式T17,卷,等差数列通项公式、裂项相消法求和T17,卷,等比数列性质T4,1/55,命题分析,1
2、高考主要考查两种基本数列(等差数列、等比数列)、两种数列求和方法(裂项求和法、错位相减法)、两类综合(与函数综合、与不等式综合),主要突出数学思想应用,2.若以解答题形式考查,数列往往与解三角形在17题位置上交替考查,试题难度中等;若以客观题考查,难度中等题目较多,但有时也出现在第12题或16题位置上,难度偏大,复习时应引发关注,2/55,3/55,4/55,5/55,6/55,7/55,8/55,9/55,10/55,11/55,等差数列,等比数列,性质,若,m,,,n,,,p,,,q,N,*,,且,m,n,p,q,,,则,a,m,a,n,a,p,a,q,若,m,,,n,,,p,,,q,N
3、且,m,n,p,q,,,则,a,m,a,n,a,p,a,q,a,n,a,m,(,n,m,),d,a,n,a,m,q,n,m,S,m,,,S,2,m,S,m,,,S,3,m,S,2,m,,,仍成等差数列,S,m,,,S,2,m,S,m,,,S,3,m,S,2,m,,,仍成等比数列,(,S,n,0),12/55,13/55,14/55,15/55,16/55,17/55,18/55,19/55,20/55,21/55,22/55,23/55,24/55,25/55,26/55,27/55,28/55,29/55,30/55,31/55,32/55,33/55,34/55,35/55,36/55,37/55,38/55,39/55,40/55,41/55,42/55,43/55,44/55,45/55,46/55,47/55,48/55,49/55,50/55,51/55,52/55,53/55,54/55,55/55,