1 . 已知等差数列
的前n项和为
,数列
是各项均为正数的等比数列,
,
.
(1)求数列
和
的通项公式;
(2)令
,求数列
的前n项和
;
(3)令
,数列
的前n项和
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e79e4498b00abf4d9aabdc4d2f2bc2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195431ccf2756a0db26f14b7b91a32a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f1f1fd8717203ae837d22aaf7f8361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e9b495d5b1619e6ed0912516ed86d7.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195431ccf2756a0db26f14b7b91a32a7.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7554176f48d9f042d96ec5a9e01f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733969643c55ec0ddfddd781a6545778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/529538fd39fe317bd6cfe8e07fe3c998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477b1f17dd05c7c1878fc8345e3abf57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea2ec890c55ef68d69d9c9d9df5e9fe.png)
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3卷引用:天津市四校(杨柳青一中、咸水沽一中 、四十七中,一百中学)2020-2021学年高二上学期期末联考数学试题
2 . 已知等比数列
的各项均为正数,
,
,
成等差数列,且满足
,等差数列数列
的前n项和
,
,
(1)求数列
和
的通项公式;
(2)设
,求数列
的前2n项和.
(3)设
,
,
的前n项和
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8afb5276cccd088ed7cada99858bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4774fd0e7fbe540dd8f52c67ac6a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f136cae0bc90e8f766e2829d26158d57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fdc528cc909a2fa1395c52a68be68a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa45ba57a920ce722a0e17307601b92.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64908d9a973390ea32ee49812ca9e884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610be94af2348ae802a0b2c23b3b6183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d76c3eb0a07a827877d7a4dc306211.png)
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6卷引用:天津市静海区四校2021-2022学年高三上学期12月阶段性检测数学试题
天津市静海区四校2021-2022学年高三上学期12月阶段性检测数学试题天津市第四十三中学2022-2023学年高三上学期期末数学试题天津市南仓中学2022-2023学年高三上学期期末数学试题天津市武清区黄花店中学2022-2023学年高三下学期开学测试数学试题(已下线)专题24 等差数列及其前n项和-3(已下线)山东省济南市2022-2023学年高三上学期期中数学试题变式题15-18
3 . 已知数列
是等差数列,其前n项和为
,
,
;数列
的前n项和为
,
.
(1)求数列
,
的通项公式;
(2)求数列
的前n项和
;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d0932cb3f8782d61564a3916e48593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9186895b26eef4463f8b425d3e9a2572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e810312e7984a112bb604a95a0816e14.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d26b54ce2e320b27c467e9d1fac15e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac2632bb06e4b5ab3bc9599aa647e655.png)
您最近一年使用:0次
2022-05-10更新
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11卷引用:天津市咸水沽第一中学2021届高三下学期高考模拟(一)数学试题
天津市咸水沽第一中学2021届高三下学期高考模拟(一)数学试题天津市十二区县重点学校2022届高三下学期毕业班联考(一)数学试题天津市和平区第二十中学2022-2023学年高三上学期期中数学试题天津市宝坻区第一中学2022-2023学年高三上学期第二次阶段性练习数学试题(已下线)专题27 数列求和-3(已下线)重难点07五种数列求和方法-2(已下线)广东省江门市棠下中学2022-2023学年高三上学期数学试题变式题17-22河南省许昌市禹州市高级中学2023-2024学年高三上学期11月月考数学试题(已下线)第05讲 数列求和(九大题型)(讲义)(已下线)数列 求和专题05数列求和(错位相减求和)
4 . 已知数列{
}的前n项和
满足:
.
(1)求数列{
}的前3项
;
(2)求证:数列
是等比数列;
(3)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab451d864c3520bc685e2b3e2dbceae.png)
(1)求数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c14d9ae06f864498048d55088ff4e6.png)
(2)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf22d124df4c081852aed169daa03219.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5541f325a4ec7149bb3e851e8c3dd4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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|
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10卷引用:天津市红桥区2021届高三下学期一模数学试题
天津市红桥区2021届高三下学期一模数学试题天津市红桥区2021届高三一模数学试题(已下线)第四章 数列单元测试(巅峰版)课时训练-【新教材优创】突破满分数学之2020课时训练-2021学年高二数学课时训练(人教A版2019选择性必修第二册)(已下线)专题7.15 数列大题(讨论奇、偶 )-2022届高三数学一轮复习精讲精练(已下线)专题2.3 数列-常规型-2021年高考数学解答题挑战满分专项训练(新高考地区专用)(已下线)思想02 分类与整合思想(讲)--第三篇 思想方法篇-《2022年高考数学二轮复习讲练测(浙江专用)》(已下线)重难点02 数列-2022年高考数学【热点·重点·难点】专练(全国通用)(已下线)思想02 分类与整合思想(讲)--第三篇 思想方法篇-《2022年高考数学二轮复习讲练测(新高考·全国卷)》(已下线)2022年高考天津数学高考真题变式题10-12题(已下线)2022年高考天津数学高考真题变式题16-18题
名校
解题方法
5 . 已知数列
,
,
为数列
的前n项和,
,
,若
,
,且
,
.
(1)求数列
的通项公式;
(2)证明
为等差数列;
(3)若数列
的通项公式为
,令
为
的前
项的和,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e78f07af568e395269122824300b039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5899a2787bcf7817cb99f27b9e265c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b8e4cd76bd8f9f36dc43bfc4a9a392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f997e6d483c0d0990cb550bbde39fa9a.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d9d6830871f943f7c94cef450ae0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
您最近一年使用:0次
2022-01-08更新
|
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3卷引用:天津市五校2021-2022学年高三上学期期中联考数学试题
天津市五校2021-2022学年高三上学期期中联考数学试题江苏省南京市第五中学2021-2022学年高三上学期一模热身数学试题(已下线)高二数学下学期期中精选50题(压轴版)2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)
名校
解题方法
6 . 已知数列
中,
;
(1)求
,
;
(2)求证:
是等比数列,并求
的通项公式
;
(3)数列
满足
,数列
的前n项和为
,若不等式
对一切
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20092264092b03a8746ddfee55beb9d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad829a5b2345293e57f96b61e05f947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(3)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/555bd5021817178dbb34b0312ce12f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8557763f9d73862b793b6a3b852b7915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2aa78c96db411c9e1e939ae16de78d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2021-08-12更新
|
705次组卷
|
10卷引用:天津市武清区英华国际中学校2021-2022学年高二上学期12月第三次统练数学试题
天津市武清区英华国际中学校2021-2022学年高二上学期12月第三次统练数学试题江西省抚州市部分中学联合体2020-2021学年高一下学期期中联考数学试题江西省赣州市八校2020-2021学年高一下学期期中联考数学试题(已下线)江苏省南通市如皋市2021-2022学年高二上学期期中数学试题广东省阳春市第一中学2022届高三上学期第四次月考数学试题江苏省常州市第一中学2021-2022学年高二上学期12月学习质量检测数学试题黑龙江省哈尔滨第九中学2019-2020学年度上学期高三第二次月考数学理试题安徽省安庆市第二中学2019-2020学年高一下学期期中数学试题安徽省阜阳市第二中学2019-2020学年高一下学期期末数学试题江苏省连云港市海头高级中学2020-2021学年高二上学期第二次月考数学试题
7 . 已知等比数列
的前
项和为
,
是等差数列,
,
,
,
.
(Ⅰ)求
和
的通项公式;
(Ⅱ)设
的前n项和为
,
,
.
(ⅰ)当n是奇数时,求
的最大值;
(ⅱ)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd3a25ac2cde3d2c884028f750cfff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684b935a7274130d081bfa7b2b938023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c45994e58cc2032df1cc501e44ed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b3874af2d1f4dcf456e5d24c4359a9.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db76422e0e75880dab2c22b549e1323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(ⅰ)当n是奇数时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b3820b14ec56411661ab328bb2ad17.png)
(ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58924a1e6d16eff497407912c41fa5f.png)
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2021-05-11更新
|
835次组卷
|
4卷引用:天津市和平区2021届高三下学期一模数学试题
天津市和平区2021届高三下学期一模数学试题(已下线)天津市和平区2021届高三下学期第一次质量调查数学试题天津市宝坻区第一中学2020-2021学年高三上学期第四次月考数学试题天津市河东区第三十二中学2024届高三上学期第二次月考数学试题
解题方法
8 . 已知数列
的前n项和为
,
,
.
(1)求
的通项公式;
(2)对任意的正整数n,设
,记数列
的前n项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870e87e24ac30d20ef26ab5f4bd1f032.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)对任意的正整数n,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d4da5674bf6c61c86b0027f5919f3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c215db1d8f69757118ad405b78035628.png)
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9 . 已知数列
中,
,
,
.
(1)求证:数列
是等比数列;
(2)求数列
的通项公式;
(3)设
,
,若对任意
,有
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d8e8f821111de8075e5c3dfb22a5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a9e3158c47e2c1c4045bb9413361f4.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c65a855b1eed9c43e6829f6c3bffb.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128d43fbfe37d2334f8666239efc7e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/786786714916d0e16f073371db5ce23a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde41a3b4eba4fadb5fb6b824aef15fb.png)
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2020-07-11更新
|
577次组卷
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8卷引用:天津市北辰区第四十七中学2021-2022学年高三上学期期中数学试题
天津市北辰区第四十七中学2021-2022学年高三上学期期中数学试题天津市第三中学2021-2022学年高三上学期12月阶段性测试数学试题苏教版(2019) 选修第一册 必杀技 第四章 4.3.3 课时2 等比数列的前n项和(2)【全国百强校】吉林省实验中学2017-2018学年高一下学期期中考试数学试题【全国百强校】广西陆川县中学017-2018学年高一下学期期中考试数学(理)试题黑龙江省大庆实验中学2019-2020学年高一下学期第一次阶段考试数学试题江西省南昌市豫章中学2019-2020学年高一下学期5月月考黑龙江省哈尔滨市双城区兆麟中学2019-2020学年度高一下学期期中考试数学试题
10 . 已知数列
的前n项和
,且满足
.
(1)求证:数列
是等比数列;
(2)若数列
满足
,
为数列
的前n项和,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8ac08b1dda83e8b171d4937c40ce66.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a080c94bf1ffea8d5af10f9688978fb5.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b106d3c1113b9217724bf99d90de3b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2746040b593c449081174b3b5e4920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6828a1cf75f19bb74a0e0490bd65c168.png)
您最近一年使用:0次
2020-04-13更新
|
1181次组卷
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7卷引用:天津市静海区第一中学2020-2021学年高二上学期期末数学试题