2022年数列常见题型总结经典汇编 .pdf

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1、学习-好资料更多精品文档高中数学数列常见、常考题型总结题型一数列通项公式的求法1前 n 项和法（知nS求na）11nnnSSSa)2()1(nn例 1、已知数列na的前 n 项和212nnSn，求数列|na的前 n 项和nT1、若数列na的前 n 项和nnS2，求该数列的通项公式。2、若数列na的前 n 项和323nnaS，求该数列的通项公式。3、设数列na的前 n 项和为nS，数列nS的前 n 项和为nT，满足22nSTnn，求数列na的通项公式。2.形如)(1nfaann型（累加法）（1）若 f(n)为常数,即：daann 1,此时数列为等差数列，则na=dna)1(1.（2）若 f(n)

2、为 n 的函数时，用累加法.例 1.已知数列an满足)2(3,1111naaannn,证明213nna学习-好资料更多精品文档1.已知数列na的首项为1，且*12()nnaan nN写出数列na的通项公式.2.已知数列na满足31a，)2()1(11nnnaann，求此数列的通项公式.3.形如)(1nfaann型（累乘法）（1）当 f(n)为常数，即：qaann 1（其中 q 是不为 0 的常数），此数列为等比且na=11nqa.（2）当 f(n)为 n 的函数时,用累乘法.例 1、在数列na中111,1nnannaa)2(n，求数列的通项公式。1、在数列na中1111,1nnannaa)2(

3、n，求nnSa 与。2、求数列)2(1232,111nannaann的通项公式。文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3

4、Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8

5、文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3

6、Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8

7、文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3

8、Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8

9、文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8学习-好资料更多精品文档4.形如srapaannn11型（取倒数法）例 1.已知数列na中，21a，)2(1211naaannn，求通项公式na练习：1、若数列na中，11a,131nnnaaa,求通项公式na.2、若数列na中，11a，112nnnnaaaa，求通项公式na.5

10、形如0(,1cdcaann,其中aa1)型（构造新的等比数列）（1）若 c=1 时，数列 na 为等差数列;（2）若 d=0 时，数列 na 为等比数列;（3）若01且dc时，数列 na为线性递推数列，其通项可通过待定系数法构造辅助数列来求.方法如下：设)(1AacAann,利用待定系数法求出A例1已知数列na中，,2121,211nnaaa求通项na.文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档

11、编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4

12、S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档

13、编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4

14、S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档

15、编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4

16、S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8学习

17、-好资料更多精品文档练习：1、若数列na中，21a,121nnaa,求通项公式na。3、若数列na中，11a,1321nnaa,求通项公式na。6.形如)(1nfpaann型（构造新的等比数列）(1)若bknnf)(一次函数(k,b是常数，且0k)，则后面待定系数法也用一次函数。例题.在数列 na中，231a，3621naann,求通项na.练习：1、已知数列na中，31a，2431naann，求通项公式na(2)若nqnf)(其中 q 是常数，且n0,1)若 p=1 时，即：nnnqaa1，累加即可若1p时，即：nnnqapa1，后面的待定系数法也用指数形式。两边同除以1nq.即：qqaqp

18、qannnn111,文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6

19、V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 Z

20、M5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6

21、V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 Z

22、M5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6

23、V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 Z

24、M5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8学习-好资料更多精品文档令nnnqab,则可化为qbqpbnn11.然后转化为类型5 来解，例1.在数列na中，521a，且)(3211Nnaannn求通项公式na1、已知数列na中，211a，nnnaa)21(21，求通项公式na。2、已知数列na中，11a，nnnaa2331，求通项公式na。题型二根据数列的性质求解（整体思想）1、已

25、知nS为等差数列na的前n项和，1006a，则11S；2、设nS、nT分别是等差数列na、nb的前n项和，327nnTSnn，则55ba .文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 Z

26、M5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6

27、V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 Z

28、M5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6

29、V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 Z

30、M5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6

31、V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8学习-好资料更多精品文档3、设nS是等差数列na的前 n 项和，若5935,95SSaa则（）5、在正项等比数列na中，153537225a aa aa a，则35aa_。6、已知nS为等比数列na前n项和，54nS，6

32、02nS，则nS3 .7、在等差数列na中，若4,184SS，则20191817aaaa的值为（）8、在等比数列中，已知910(0)aaa a，1920aab，则99100aa .题型三：证明数列是等差或等比数列A)证明数列等差例 1、已知数列 an的前 n项和为 Sn，且满足an+2SnSn1=0（n2），a1=21.求证：nS1是等差数列；B）证明数列等比例 1、已知数列na满足*12211,3,32().nnnaaaaanN证明：数列1nnaa是等比数列；求数列na的通项公式；题型四：求数列的前n 项和基本方法：A）公式法，文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5

33、X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5

34、H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5

35、X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5

36、H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5

37、X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5

38、H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5

39、X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8学习-好资料更多精品文档B）分组求和法1、求数列n223n的前n项和nS.C）裂项相消法，数列的常见拆项有：11 11()()n nkknnk；nnnn111；例 1、求和：S=1+n32113211211例2、求和：nn11341231121.D）倒序相加法，例、设221)(xxxf，求：).2010()2009()2()()()()(21312009120101fffffffE）错位相减法，1、若数列na的通项nnn

40、a3)12(，求此数列的前n项和nS.文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文

41、档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q

42、4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文

43、档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q

44、4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文

45、档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q

46、4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8学习-好资料更多精品文档3.4.21123(0)nnSxxnxx（将分为1x和1x两种情况考虑）文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X

47、3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H

48、7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X

49、3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H

50、7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X3R2A7F8文档编码:CM7Q6V5H7H7 HZ3Q4S5A1J7 ZM5X