名校
解题方法
1 . 已知数列
为等差数列,
是数列
的前
项和,且
,
,数列
满足
.
(1)求数列
、
的通项公式;
(2)令
,证明:
.
![](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/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fcd86b9ed6819116a261629f96fae1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4cf0e722239dd3c7f44795f74aa6bf4.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c2a5f8ec179b72b201c3c0a670612a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1796d3b3d59e53a318ced796ebda0538.png)
您最近一年使用:0次
2023-01-18更新
|
760次组卷
|
5卷引用:安徽省皖江名校联盟2021-2022学年高三上学期第四次联考理科数学试题
名校
解题方法
2 . 已知数列
的前
项和
,那么它的通项公式
( )
![](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/8ce817f902302ebdd5a599e43df77614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
A.n | B.2n | C.2n+1 | D.n+1 |
您最近一年使用:0次
2022-12-02更新
|
978次组卷
|
6卷引用:安徽省池州市江南教育集团2020-2021学年高三上学期1月月考数学试题
安徽省池州市江南教育集团2020-2021学年高三上学期1月月考数学试题湖南省娄底市双峰一中2020-2021学年高二上学期9月入学考试数学试题西藏林芝市第二高级中学2022-2023学年高二上学期第一学段考试(期中)数学试题河北省邢台市第八中学2018-2019学年高一下学期期末考试数学试题(已下线)4.1 数列(练习)-高二数学同步精品课堂(苏教版2019选择性必修第一册)(已下线)4.1 数列的概念——课后作业(基础版)
名校
解题方法
3 . 数列
中的前n项和
,数列
的前n项和为
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b44f1584bac756c6b542271bb7c404d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d3e6ff7cf0e15a8bfa8d5ea23a6d153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f710b0e6ccca316852bf3a94f68135.png)
A.190 | B.192 | C.180 | D.182 |
您最近一年使用:0次
2022-03-21更新
|
1427次组卷
|
7卷引用:安徽省六安一中、阜阳一中、合肥八中等校2021-2022学年高三上学期10月联考文科数学试题
安徽省六安一中、阜阳一中、合肥八中等校2021-2022学年高三上学期10月联考文科数学试题江西省鹰潭市贵溪市第一中学2022-2023学年高二下学期3月第二次月考数学试题福建省漳州市漳州康桥高级中学2023-2024学年高二上学期10月月考数学试题(已下线)易错点08 数列-备战2022年高考数学考试易错题(新高考专用)(已下线)专题4.6 分组求和法求和-2021-2022学年高二数学特色专题卷(人教A版2019选择性必修第二册)福建省厦门第一中学2021-2022学年高一下学期期中考试数学试题江西省九江市2022-2023学年高二第二次阶段模拟(期末)数学试题
名校
4 . 已知数列
的前n项和为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a838e2eadb66ec92b8e4216581d89443.png)
______ .
![](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/25a1cd585a8aa6b1622f361266a5382d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a838e2eadb66ec92b8e4216581d89443.png)
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2022-02-14更新
|
255次组卷
|
2卷引用:安徽省安庆市怀宁中学2021-2022学年高三上学期12月联考理科数学试题
名校
解题方法
5 . 已知数列
的前
项和为
,
,设
,
,则
的最小值为___________ .
![](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/5d684b92cccda797a5fb4bddb0eb2aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25a7135aebae205a7ff2b0336d6087a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be61c26548cbd2b53cd597e726cc746e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65c8ddcf055562437b659359862d05f.png)
您最近一年使用:0次
2022-02-09更新
|
290次组卷
|
2卷引用:安徽省宣城市泾县中学2021-2022学年高三上学期12月质量检测文科数学试题
名校
解题方法
6 . 已知数列
的前
项和
满足
且
,若
,则数列
的前
项和公式为________ .
![](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/6cbdf583d9bdd2764574fc4e5cba84ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74fb4905cd24dea7681ba4babbf4ce8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
7 . 若数列
的前
项和
,则此数列的通项公式为___________ .
![](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/d9d62ed874982a4f87f7f1be0b42610a.png)
您最近一年使用:0次
2022-02-09更新
|
817次组卷
|
3卷引用:安徽省芜湖市第一中学2021-2022学年高二上学期第二次月考数学试题
名校
解题方法
8 . 已知数列
的首项为2,前n项和为
,
,
.若数列
的前n项和为
,则满足
成立的n的最小值为______ .
![](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/7c8251ae667250fb36ce4c0d75228317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6fc4b7329ae1322f7ba93fc9fe1a279.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/c91bb1a62b7bf8baf2ce0dbbf525f77d.png)
您最近一年使用:0次
名校
解题方法
9 . 已知数列
的前n项和为
,且
,
(1)求
的通项公式;
(2)若
,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/dab4d0e4fc94f3950707defa30342d68.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c24fb5d919bc05eb9df5423f3a3d65a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-02-08更新
|
420次组卷
|
2卷引用:安徽省宣城市泾县中学2021-2022学年高三上学期12月质量检测理科数学试题
10 . 已知首项是5的数列
的前n项和为
,且
,数列
满足
.
(1)证明
是等差数列,并求
的通项公式;
(2)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/6342b48f0485bc0bca4e718f4949a093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd2b2b1c9c82997b28888cef839e67b.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8194a62bc60a9da9b5cf76f9dc0fa09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次