1 . 已知
是等差数列,
,且
,
,
成等比数列.
(1)
的通项公式;
(2)设数列
的前
项和为
,满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7def23f30138e0b7c4c1e498d6903a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a4d332743e481f66b404cfc240a0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e25df1d0f8f97037bdbefc0d932a5ec.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba57c83d526ac308d1461e80fcca9f36.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/81eae8dd580846c1c86bca17dc19eb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
解题方法
2 . 已知
为等差数列,公差
,且
成等比数列.
(1)求数列
的通项公式;
(2)记
,求数列
的前
项和为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec5092048ae59b74623c4be1048c8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2df98ce180b9d9e1a83f2c1332e2da9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5fc0b571e6545e133d36af338733b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70448be7c127b36e451dbc484aa2955b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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10-11高二上·辽宁沈阳·阶段练习
名校
3 . 已知
成等差数列,
成等比数列,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74a25fe0e04cc648a1e72f9fef7aa748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7350c99e82ef8de7e2847eed27b8d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4e1e7969a2a04aec4d2eca0920205a.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
您最近一年使用:0次
2024-03-21更新
|
412次组卷
|
11卷引用:福建省福州市第十一中学2023-2024学年高二上学期期末考试数学试卷
福建省福州市第十一中学2023-2024学年高二上学期期末考试数学试卷(已下线)2010年辽宁省沈阳二中高二上学期10月月考理科数学卷【区级联考】广东省深圳市龙岗区2017-2018学年高二上学期期末考试数学文试题甘肃省张掖市2020-2021学年高二上学期期末数学(理)试题陕西省铜川市耀州中学2021-2022学年高二上学期第一次月考数学试题人教B版(2019) 选修第三册 北京名校同步练习册 第五章 数列 本章小结(已下线)专题03等比数列及其前n项和6种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)(已下线)专题03数列期末7种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019选择性必修第三册)(已下线)2010-2011年黑龙江省牡丹江一中高一下学期期中考试数学甘肃省张掖二中2016-2017学年高一下学期期中考试数学试题2016-2017学年黑龙江省牡丹江市第一高级中学高一3月月考数学试卷
4 . 已知数列
为递增的等差数列,
为
和
的等比中项.
(1)求数列
通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de97c8b7edcdcadf6f00a8e026ce4774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5026cdcb467987cdef9da732a17582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea2059d41da264b08aa7692f82fc1fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
名校
5 . 已知等差数列
的公差为2,若
成等比数列,则
的值为 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18556fda4a825861f1170cdeb059ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
A.1 | B.3 | C.5 | D.7 |
您最近一年使用:0次
2024-03-01更新
|
1451次组卷
|
4卷引用:福建省莆田第一中学2023-2024学年高二下学期3月月考数学试卷
解题方法
6 . 已知等差数列
的公差为2,且
,
,
成等比数列.
(1)求
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d93c1ae7b22099a5d4c1c4241e5ca18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/007ec259b3bbda9bb4dd29b77fceac0c.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
7 . 已知
为等比数列,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0748c346ed88f98e424de8edf278325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
A.6 | B.8 | C.10 | D.12 |
您最近一年使用:0次
8 . 已知等比数列
满足
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc7f359b4f48052d475960169624711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3f228c3e2295d0e2db928cae22cd3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.![]() | B.![]() | C.3 | D.![]() |
您最近一年使用:0次
解题方法
9 . 已知等差数列
满足:
成等差数列,
成等比数列.
(1)求
的通项公式:
(2)在数列
的每相邻两项
与
间插入
个
,使它们和原数列
的项构成一个新数列
,数列
的前
项和记为
,求
及
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70dd0e51623ce8b950dfddcde452127d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d179ded498d29710e3d7c9a036f1f46.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)在数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8705064bb1ac4934b21bb5a01eff6c7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f37ea355a50902d7379ca3f594faf2ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92cd44b215a3c23c6e2632cd44a44dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12440f7946f2b16615eb409928dd7381.png)
![](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/034ba25825c13725931c483aa47c9363.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/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f914d3c693649fce7ad42b57ab3ecaa1.png)
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名校
10 . 已知正项等比数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105fd92af4a217572cc971e485b450c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b5dfd1d14c25fbbe151f1e327cc769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
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