2022年数列知识点总结及题型归纳---含答案汇编 .pdf

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1、学习-好资料更多精品文档一、等差数列题型一、等差数列定义：一般地，如果一个数列从第2项起，每一项与它的前一项的差等于同一个常数，那么这个数列就叫等差数列，这个常数叫做等差数列的公差，公差通常用字母d表示。用递推公式表示为an _an 丄=d(n _ 2)或a*.1 _an=d(n _1)。例：等差数列an-2n-1，an-anj=_ 题型二、等差数列的通项公式：aai-(n-1)d；说明：等差数列(通常可称为A P数列)的单调性：d 0为递增数列，d=0为常数列，d.0为递减数列。例：1.已知等差数列；an/中,a7-a9 16，a4=1,则 a12等于()A.15 B.30 C.31 D.6

2、4 2.an是首项a1=1，公差d=3 的等差数列，如果a 2005，则序号n等于(A)667(B)668(C)669(D)670 3.等差数列an=2n-1,bn=-2n 1，则an为 _ bn为 _ (填“递增数列”或“递减数列”)题型三、等差中项的概念：定义：如果a,A,b成等差数列，那么A叫做a与b的等差中项。其中A二 2 a+b a,A,b成等差数列A=-2 2.设数列an是单调递增的等差数列，前三项的和为12,前三项的积为48,则它的首项是()A.1 B.2 C.4 D.8 题型四、等差数列的性质：(1)在等差数列 Ian 中，从第 2 项起，每一项是它相邻二项的等差中项；(2)在

3、等差数列 Gn 中，相隔等距离的项组成的数列是等差数列；a.a(3)在等差数列玄中，对任意m，n?N.，a am(n-m)d，d n m(m=n)；n m(4)在等差数列、an?冲，若m，n，p，q?N.且m?n=p q，则am a ap aq；题型五、等差数列的前n和的求和公式：sn二n(a1 an)二na皿也 d二1 n2-(a1)n。2 2 2 2(Sn=An2 Bn(A,B 为常数)=是等差数列)1 an)n(am an4m4)n2 2 例：1.如果等差数列玄 f 中，a3a4a5=12，那么 ai?a2?a7二(A)14(B)21(C)28(D)352.设Sn是等差数列CaJ 的前

4、n 项和，已知a2=3，a6=11，则Si等于（）数列即：2an 1=an an 2(2an=an_m an m)例：1?设Gn*是公差为正数的等差数列，若a1a2a3=15,aia2a=80，贝U a11a12 a13二A.120 B?105 C.90 D.75 递推公式:Sn 学习-好资料更多精品文档A.13 B.35C.49 D.633.已知 n?数列是等差数列，a10=10，其前10 项的和S。=70，则其公差d等于（）2112A.-一B.-一C.D.33334.在等差数列an中，&+ag=10，贝U a5 的值为（）（A）5（B）6（C）8（D）105.若一个等差数列前3 项的和为

5、34,最后 3 项的和为 146，且所有项的和为390,则这个数列有（）A.13 项B.12 项C.11 项D.10 项6.已知等差数列&匚的前n项和为Sn，若32=21，则 a2a5a8a11-7.设等差数列Gn?的前n项和为Sn，若a5=5a3则选=S5 8.设等差数列江？的前n项和为Sn，若S9=72,则a2 a4-a9=_ 9.设等差数列玄的前 n 项和为Sn,若a6=S3=12,则an-10.已知数列bn是等差数列，b1=1，b1+b2+b=100.，则bn=_ S11.设an为等差数列，$为数列an的前n项和，已知S?=7，S5=75，Tn为数列的前n项n和，求Tn。12.等差数列

6、an的前n项和记为Sn，已知a10=30,a20=50求通项an；若Sn=242，求n 13?在等差数列an中，(1)已知S=48,S12=168,求 a1 和 d；(2)已知a=10,S5=5,求 a8和 S8；(3)已知a3-a15=40,求07文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编

7、码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档

8、编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文

9、档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6

10、文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U

11、6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9

12、U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D

13、9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6学习-好资料更多精品文档题型六?对于一个等差数列：（1）若项数为偶数，设共有2n叽则S偶-S奇二nd；奇主；S偶an 1（2）若项数为奇数，设共有2n-1叽则S奇-S偶=an=a中；奇=S 禺n _ 1 题型七?对与一个等差数列，Sn,n-Sn,S3n-S2n仍成等差数列。例：1.等差数列an的前m项和为 30，前 2m项和为 100，则它的前 3m项和为（）A.130 B.170 C.210 D.260 2.一个等差

14、数列前n项的和为 48,前 2 n项的和为 60，则前 3n项的和为 _ 3?已知等差数列&的前 10 项和为 100，前 100 项和为 10，则前 110 项和为 _ 4.设Sn为等差数列；3n/的前n项和，S4-14,S（0-S7=30,则 S9=_ 5?设S是等差数列an的前n项和，若色=1,则电=S6 3 S12 7.数列 式 满足a1=8,a4=2,且 an 2-2a“1 an=0(n?N”)求数列、an匚的通项公式;题型九?数列最值(1)6 0,d：0时，Sn有最大值；a,：0,d 0时，Sn有最小值；2 A.B.D.10 题型八?判断或证明一个数列是等差数列的方法：定义法：an

15、 1-an=d（常数）（n?N”）=況堤等差数列 中项法：2an 1=an an,2（n?N”）=、an是等差数列通项公式法：an=kn b（k,b 为常数）=3,是等差数列前n项和公式法：Sn二 An2?Bn（代B 为常数）=Sn 是等差数列例：1.已知数列an满足an-an 4=2，则数列an为（）A.等差数列B.等比数列C.既不是等差数列也不是等比数列D.无法判断2.已知数列an的通项为an=2n?5,则数列an为()A.等差数列B.等比数列C.既不是等差数列也不是等比数列D.无法判断3.已知一个数列an的前 n 项和sn=2n24，则数列an为（)A.等差数列B.等比数列C.既不是等差

16、数列也不是等比数列D.无法判断4.已知一个数列an的前 n 项和Sn二2n2，则数列an为（）A.等差数列B.等比数列C.既不是等差数列也不是等比数列D.无法判断5.已知一个数列an满足an 2-2anan 0,则数列an为（)A.等差数列B.等比数列C.既不是等差数列也不是等比数列D.无法判断C.等差数列，而且也是等比数列D.既非等比数列又非等差数列6.设S是数列an的前n项和，且 S=n2，则an是（）A.等比数列，但不是等差数列B.等差数列，但不是等比数列文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8

17、M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y

18、8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1

19、Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO

20、1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 H

21、O1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8

22、HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8

23、 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6学习-好资料更多精品文档(2)Sn最值的求法：若已知Sn,Sn的最值可求二次函数=an bn的最值；可用二次函数最值的求法(n EN+)；或者求出an中的正、负分界项，即：卄”3n色0亠an乞0右已知an，

24、则Sn最值时n的值(n?N.)可如下确定或。J 3n 1-0 an 1 0 1.设an(n?N)是等差数列，S是其前n项的和，且Sv S,S?则下列结论错误.的是()A.dv 0 B.a?=0 C.S9S5 D.S6与 S7均为 Sn 的最大值2.等差数列a沛，a,0,S9=$2，则前 _ 项的和最大。3.已知数列?的通项门_ 葺(n w V)，则数列 fen的前 30 项中最大项和最小项分别是_ n-V99 4.设等差数列a的前n项和为Sn，已知a3=12,S12 0,S3 0 求出公差d的范围，指出Si,S2/,S12中哪一个值最大，并说明理由。5.已知an是等差数列，其中ai=31，公差

25、d=-8。(1)数列an从哪一项开始小于0?(2)求数列an前n项和的最大值，并求出对应n的值.6.已知an是各项不为零的等差数列，其中a1 0，公差d 2)1.设数列a*的前 n 项和Sn二n2，则a的值为()(A)15(B)16(C)49(D)64 文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文

26、档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6

27、文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U

28、6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9

29、U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D

30、9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5

31、D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G

32、5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6学习-好资料更多精品文档2?已知数列a?的前n项和Sn二n2-4n则 _ 2 3.数列an的前n项和Sn二n.(1)试写出数列的前5 项；(2)数列an是等差数列吗？(3)你能写出数列an的通项公式吗？4.已知数列Gn 和，a1=3,前n和Sn=(n 1)(an 1)-1 2 求证：数列：an是等差数列 求数列a九勺通项公式等比数列等比数列定义一般地，如果一个数列从第二项起.，每一项与它的前一项的比等于同一个常数.

33、，那么这个数列就叫做等比数列，这个常数叫做等比数列的公比；公比通常用字母q表示(q=0)，即：an1:an二q(q=0)。一、递推关系与通项公式递推关系：an 1=anq 通项公式：a a1 qn J推广：aam qn1.等比数列an中，a2=8,a1=64,则公比 q 为()(A)2(B)3(C)4(D)82.在各项都为正数的等比数列an中，首项a1=3，前三项和为21,则a3 a4 a5=()A 33 B 72 C 84 D 189 3.在等比数列、an匚中,a1=4,q=2，则an=_ 4.在等比数列an中,a7=12,q=32,则a19=_.5._ 在等比数列d 冲，a2=-2,a5=

34、54，则a8=文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10

35、T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM1

36、0T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM

37、10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 Z

38、M10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6

39、ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6

40、 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6学习-好资料更多精品文档二、等比中项：若三个数a,b,c成

41、等比数列，则称b 为a 与 c的等比中项，且为b=Jac,注：bac是成等比数列的必要而不充分条件.1.2 3和2 一、3的等比中项为()(A)1(B)-1(C)_1(D)2 2.设 aj 是公差不为 0 的等差数列，ai=2且ai,a3,a6成等比数列，则 aj 的前n项和Sn=()A n27n n25n n23n 2A.B.C.D.n n4 4 3 3 2 4 三、等比数列的基本性质，1.(1)若 m n-p q，贝 V am aap aq(其中 m,n,p,q N)n-m an 2(2)q,an 二 a.q a.m(n N)am(3)&为等比数列，则下标成等差数列的对应项成等比数列.(4

42、):an 既是等差数列又是等比数列二an 是各项不为零的常数列?1.在等比数列:a/?中，a1和a10是方程2x25x 0的两个根，则a4a()5(A)-52 2.等比数列an的各项为正数，且aa6 a4a18，则 Iog3 a1?log3 a?丨 1(?Iog3 印。=()A.12 B.10 C.8 D.2+|og3 5 3.已知等比数列an满足an 0,n=1,2,11(，且aa2n=22n(n 一3)，则当n_1时，Iog2a1 log 2 a H-log 2 a2n 4=()A.n(2n-1)B.(n 1)2C.n2D.(n-1)24.在等比数列an*，已知a-5，a9a10-100，

43、则a18=_ 5.在等比数列：an匚中，a1a6=33，a3a4=32，an-an d求an 若Tn=Iga1 Tga2?Tgan,求 Tn 四、等比数列的前n 项和，(C)(D)i 文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T

44、4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10

45、T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM1

46、0T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM

47、10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 Z

48、M10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6

49、ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6

50、 ZM10T4G5D9U6文档编码:CY10Y8V7V10Z8 HO1Y8M5M1I6 ZM10T4G5D9U6学习-好资料更多精品文档nai(q=1)Sn i(1 qn)_ ai-anq(q=1)1-q 1-q 例：1?设f(n)=2?24?27?210?23n 10(n?N)，则f(n)等于()A.|(8n-1)B.|(8n 1-1)C.|(8n 1)D.|(8n4-1)2.已知等比数列an的首相31=5，公比q=2，则其前 n 项和Sn二_ 1 3.已知等比数列a*的首相a1=5，公比q，当项数 n 趋近与无穷大时，其前n 项和Sn-2 4?设等比数列an的公比为 q，前 n 项和为 3