1 . 已知
满足
.
(1)证明:数列
为等比数列;
(2)已知数列
的前
项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b488804b27d58a52c1192df513b1b9.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知数列
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e31dda3a56eb4c92347b3ea80143fc6.png)
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名校
2 . 已知等差数列
和等比数列
的各项均为正数,
,且
,则下列选项中一定成立的有( )
![](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/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd2958c17519556e74c97ee333b03d6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-20更新
|
151次组卷
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3卷引用:河北省张家口市2023-2024学年高二上学期1月期末考试数学试题
河北省张家口市2023-2024学年高二上学期1月期末考试数学试题湖南省常德市汉寿县第一中学2023-2024学年高二上学期期末数学试题(已下线)5.3.1等比数列(分层练习,7大题型)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第三册)
解题方法
3 . 已知等比数列
的各项均为正数,
是数列
的前
项和,若
,则
( )
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2570cec8ebbc4ebf384873ae7d7c0e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
A.8 | B.128 | C.32 | D.64 |
您最近一年使用:0次
4 . 已知数列
为等差数列,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0f0c19b4262e7ce190318f7fe92b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef17bf694f77f03c29ef52572faed0a4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
5 . 若
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485894ffa356460d2d401ef2ec5b6433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7c971041722e976befd81e0fdbbe63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72f1e27279771126076eee1fa6726ae.png)
A.42 | B.1092 | C.1086 | D.6 |
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2023-06-09更新
|
463次组卷
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4卷引用:河北省尚义县第一中学2022-2023学年高二下学期第三次阶段测试数学试题
名校
解题方法
6 . 设等比数列
的前
项和为
,若
,
,则
等于( )
![](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/d7f67e6f9f75fe5e80873eac20abc83b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed11b326cd8759eeeb696736e526c55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a27c112387e56c976489fa484c0d48f.png)
A.90 | B.250 | C.210 | D.850 |
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2023-02-08更新
|
589次组卷
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3卷引用:河北省张家口市宣化第一中学2022-2023学年高二下学期3月月考数学试题
名校
解题方法
7 . 已知数列
的前n项和为
,且
.
(1)求
的通项公式;
(2)设
,求数列
的前n项和
.
![](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/fb8ed432afe66253a36b1240148296b3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2023-02-03更新
|
706次组卷
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7卷引用:河北省张家口市宣化第一中学2022-2023学年高二下学期3月月考数学试题
8 . 已知数列
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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afcd3ab861e0f26c03e46d243766074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4188680e5320653753ad0340439cb77.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801f8d228641b21bd523718fd6738823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2023-01-05更新
|
609次组卷
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4卷引用:河北省张家口市2022-2023学年高二上学期期末数学试题
河北省张家口市2022-2023学年高二上学期期末数学试题(已下线)拓展二:数列求和方法归纳(2)湖南省株洲市第二中学2021-2022学年高二下学期期中数学试题(已下线)安徽省(九师联盟)2023届二模数学试题变式题17-22
名校
解题方法
9 . 已知
为等差数列
的前
项和,若
.
(1)求数列
的通项公式;
(2)求数列
的前50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/464e9d27aab4f8132cf49d2cf836aafc.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/b91adba8efbf964e9e35547b0fd0ea36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc1e7a87da7751da31f851ae6d46aff.png)
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2023-01-05更新
|
795次组卷
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5卷引用:河北省张家口市2022-2023学年高二上学期期末数学试题
河北省张家口市2022-2023学年高二上学期期末数学试题河北省石家庄外国语学校2022-2023学年高二上学期期末数学试题河南省焦作市博爱县第一中学2022-2023学年高二下学期2月月考数学试题(已下线)拓展二:数列求和方法归纳(1)(已下线)专题09 数列求和6种常见考法归类(1)
10 . 已知数列
满足
,
为数列
的前
项和,
恒成立,则
的最小值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec39713acebedfbca48f065c11854423.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2f79d9b9a9788d82009914a9fa2a91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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