解题方法
1 . 若数列{an}的前n项和为Sn,已知a1=1,an+1
.
(1)求Sn;
(2)设bn
,求证:b1+b2+b3+…+bn
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a78a94eb9826a8e6b950e973dfc5a98.png)
(1)求Sn;
(2)设bn
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a3016a39ced1f991c23e5dfa0263255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7ee919e3cb512e11a304b5ee984f85.png)
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2020-05-05更新
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2卷引用:四川省自贡市第十四中学校2019-2020学年高一下学期期中考试数学试卷
2 . 已知数列
的前n项和为
,
.
(1)证明:
为等比数列;
(2)设
,若不等式
对
恒成立,求t的最小值.
![](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/88d60948fb65e86c170ede4c1cd9fc4f.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c895d4ce5ce82ef9b311b9369b4de11.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c689bbbee88a5d46159db06fbe54e2b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f20a91b74fcce4a2bf61a6e18849adf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac657ea5bbf4b237a30e4074c76cc81.png)
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2020-02-15更新
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758次组卷
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4卷引用:江西省南昌市进贤县第一中学2020-2021学年高一下学期期中考试数学(理)试题
江西省南昌市进贤县第一中学2020-2021学年高一下学期期中考试数学(理)试题2020届重庆市康德卷高考模拟调研卷理科数学(二)(已下线)专题02 构造等差或者等比数列求解数列的通项公式(第二篇)-备战2020年高考数学大题精做之解答题题型全覆盖安徽省滁州市定远县民族中学2022-2023学年高三上学期12月月考数学试题
名校
3 . 已知
,
,
,
,设数列
的前n项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c355c1a8cfccf5a32f9c922f350a836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6607fa8ab83dc3e4ef9f57112fd5e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deda945164283569437cda6976fe35ea.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/04c2864e2ec3416cc4c081ac1f71a0af.png)
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2020-02-01更新
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4卷引用:黑龙江省鸡西市第一中学2019-2020学年度高一下学期期中考试数学试题
名校
解题方法
4 . 已知数列
满足:
,
.
(I)求证:数列
是等比数列;
(II)设
的前
项和为
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2f0ce5532f83e0ae73d0410e818334.png)
(I)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345edc602f5c52122b91e6864902fb8a.png)
(II)设
![](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/1e583e5b521b9f7427560078dd8e7906.png)
您最近一年使用:0次
名校
解题方法
5 . 已知
是数列
的前
项和,且
.
(1)求
的通项公式;
(2)设
,求数列
的前
项和
.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4a9ef2000048fba725abf8a8181d76.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a559fbad58a830b11cb5ea1c78b1d345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2020-03-19更新
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9卷引用:【市级联考】河北省定州市2018-2019学年高一下学期期中考试数学试题
6 . 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
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8卷引用:【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】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)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
名校
解题方法
7 . 已知数列
的前
项和为
,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97d7848e05c25fec03db2e9d6010bee5.png)
(1)求数列
的通项公式
;
(2)设
,令
,求
.
![](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/97d7848e05c25fec03db2e9d6010bee5.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef6d529d3493db7f4620d529ba7ca4e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a326b4c0a72cb487341f77cb26475c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2020-10-31更新
|
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12卷引用:云南省玉溪市第一中学2018-2019学年高一下学期期中数学(文)试题
云南省玉溪市第一中学2018-2019学年高一下学期期中数学(文)试题重庆一中2018-2019学年高一下学期期末数学试题河北省高碑店市高碑店一中2019-2020学年高一下学期第二次月考数学试题2017届河南息县第一高级中学高三文上段测五数学试卷广西钦州市钦州港经济技术开发区中学2018届高三12月月考数学(文)试题(已下线)黄金30题系列 高三年级数学(文) 大题好拿分【基础版】【校级联考】广东省汕头市达濠华侨中学,东厦中学2019届高三上学期第三次联考数学(文)试题重庆市第三十七中学校2020-2021学年高二上学期10月月考数学试题北师大版(2019) 选修第二册 名师精选 测试一 学业水平综合性测试卷人教B版(2019) 选修第三册 名师精选 学业水平综合性测试卷(已下线)卷17 选择性必修第二册综合性测试卷 A卷 ·基础达标 -【重难点突破】2021-2022学年高二数学名校好题汇编同步测试卷(人教A版选择性必修第二册) 河南省洛阳市洛宁县第一高级中学2022-2023学年高二下学期2月月考数学文科试题
解题方法
8 . 已知数列
的前
项和为
,且满足:
.
(1)求数列
的通项公式;
(2)求数列
的前
项和
.
![](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/20829ece1c1c8b02d3ee5bb882007597.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0496f142d8ae5acb06e83526eaa3ef87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2020-03-09更新
|
202次组卷
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2卷引用:安徽省马鞍山市2018-2019学年高一下学期期中数学试题
9 . 已知数列
的前
项和为
,且满足
.
(1)证明:数列
为等比数列,并求数列
的通项公式.
(2)若
,数列
的前
项和为
,求满足不等式
的
的最小值.
![](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/5e8ec25079d3dfa8d482148b96157ce7.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95eda8514716b7e844cf40e0efd5351a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425e7ae998de3cdcf49c65d5f95d58f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2020-02-13更新
|
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2卷引用:重庆市渝东六校联盟2018-2019学年高一下学期期中联考数学试题
名校
10 . 已知数列{an}满足:a1=1,
,记
.
(1)求b1,b2的值;
(2)证明:数列{bn}是等比数列;
(3)求数列{an}的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2793fe4d6a89d0cc664d0491d40c970d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e8dc1fb18e7e558fd0915c4e4f40e3.png)
(1)求b1,b2的值;
(2)证明:数列{bn}是等比数列;
(3)求数列{an}的通项公式.
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2020-02-07更新
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3卷引用:北京市中国人民大学附属中学2016-2017学年高一下学期期中考试数学试题