2022年数列高考复习题 .pdf
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1、数列1 an是首项 a11,公差为d3 的等差数列,如果an2 005,则序号n 等于()A667 B668 C669 D670 2在各项都为正数的等比数列 an中,首项a13,前三项和为21,则 a3a4a5()A33 B72 C84 D189 3如果 a1,a2,a8为各项都大于零的等差数列,公差d0,则()Aa1a8a4a5 Ba1a8a4a5Ca1 a8a4a5Da1a8a4a54已知方程(x2 2xm)(x22xn)0 的四个根组成一个首项为41的等差数列,则mn等于()A1 B43C21D835等比数列 an 中,a29,a5243,则 an的前 4 项和为().A81 B120
2、C168 D192 6若数列 an 是等差数列,首项a10,a2 003a2 0040,a2 003a2 0040,则使前 n 项和 Sn0 成立的最大自然数n是()A4 005 B4 006 C4 007 D4 008 7已知等差数列 an的公差为2,若 a1,a3,a4成等比数列,则 a2()A 4 B 6 C 8 D 10 8设 Sn是等差数列 an 的前 n 项和,若35aa95,则59SS()A1 B 1 C2 D219已知数列1,a1,a2,4 成等差数列,1,b1,b2,b3,4 成等比数列,则212baa的值是()A21B21C21或21D4110在等差数列an中,an0,an
3、12na an1 0(n2),若 S2n138,则 n()A38 B20 C10 D9 二、填空题11 设 f(x)221x,利用课本中推导等差数列前n 项和公式的方法,可求得 f(5)f(4)f(0)f(5)f(6)的值为.12已知等比数列an 中,(1)若 a3a4a58,则 a2a3a4a5 a6(2)若 a1a2324,a3a436,则 a5a6(3)若 S42,S86,则 a17a18a19a20.13在38和227之间插入三个数,使这五个数成等比数列,则插入的三个数的乘积为14在等差数列an中,3(a3a5)2(a7a10a13)24,则此数列前13 项之和为.15在等差数列an中
4、,a53,a6 2,则 a4a5 a10.16设平面内有n 条直线(n 3),其中有且仅有两条直线互相平行,任意三条直线不过同一点若用f(n)表示这 n条直线交点的个数,则f(4);当 n4 时,f(n)三、解答题17(1)已知数列 an的前 n 项和 Sn3n22n,求证数列 an 成等差数列.(2)已知a1,b1,c1成等差数列,求证acb,bac,cba也成等差数列.18设 an是公比为q 的等比数列,且a1,a3,a2成等差数列(1)求 q 的值;(2)设 bn 是以 2 为首项,q 为公差的等差数列,其前n 项和为 Sn,当 n2 时,比较Sn与 bn的大小,并说明理由文档编码:CH
5、5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2
6、D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 H
7、J4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6
8、R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 Z
9、O10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R
10、3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文
11、档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N619数列 an的前 n 项和记为Sn,已知 a11,an1nn2Sn(n1,2,3)求证:数列 nSn是等比数列20已知数列 an是首项为a 且公比不等于1 的等比数列,Sn为其前
12、n 项和,a1,2a7,3a4成等差数列,求证:12S3,S6,S12S6成等比数列.第二章数列参考答案一、选择题1C 文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7
13、ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3
14、R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6
15、文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:C
16、H5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D
17、2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1
18、HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6解析:由题设,代入通项公式ana1(n1)d,即
19、 2 00513(n1),n6992C 解析:本题考查等比数列的相关概念,及其有关计算能力设等比数列 an的公比为q(q0),由题意得a1a2 a321,即 a1(1qq2)21,又 a1 3,1qq27解得 q2 或 q 3(不合题意,舍去),a3a4a5a1q2(1qq2)322 7843B解析:由 a1 a8a4a5,排除C又 a1a8a1(a17d)a127a1d,a4a5(a1 3d)(a14d)a127a1d 12d2a1 a84C 解析:解法 1:设 a141,a241d,a3412d,a4413d,而方程 x22xm0 中两根之和为2,x22xn0 中两根之和也为2,a1a2a
20、3a416d4,d21,a141,a447是一个方程的两个根,a143,a345是另一个方程的两个根167,1615分别为 m 或 n,mn21,故选 C解法 2:设方程的四个根为x1,x2,x3,x4,且 x1x2x3x42,x1x2m,x3x4n由等差数列的性质:若 spq,则 a asapaq,若设 x1为第一项,x2必为第四项,则x247,于是可得等差数列为41,43,45,47,m167,n1615,mn215B 解析:a29,a5243,25aaq3924327,q3,a1q9,a13,文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:C
21、H5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D
22、2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1
23、HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R
24、6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7
25、ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3R3W9N6文档编码:CH5A10D2D6D1 HJ4Y4R6R3K7 ZO10K3
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