名校
解题方法
1 . 数列
的前n项和
,数列
为等差数列,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59971183986b0a16dc69beb9c76e049e.png)
(1)求数列
的通项公式.
(2)求证数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b75dbb20178da2eec9ff11a9c74e841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59971183986b0a16dc69beb9c76e049e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求证数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfb8091a44e1edbc4dc5274a57cbd0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02e80983b88cdf6b540502816c87d13.png)
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5卷引用:河北省石家庄市部分学校2022届高三下学期5月模拟数学试题
名校
解题方法
2 . 已知数列
单调递增,其前n项和为
,且
,
.
(1)求数列
的通项公式;
(2)设
,求数列
的前n项和为
.
![](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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73a712b64a5cbb1cb78d4afd95263f6.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3a73595311eaef7f89e7afae7d9e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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3卷引用:河北省唐县第一中学2022-2023学年高二上学期9月月考数学试题
名校
解题方法
3 . 数列
的前n项和
,
(1)求数列
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/c3ddd6d99ad32dd7fdb1797d8cf94786.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e623b77bc2e46e42621f25c04021be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2022-04-30更新
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3卷引用:河北省高碑店市崇德实验中学2022-2023学年高二上学期期末数学试题
名校
解题方法
4 . 已知数列
的前n项和为
,且
.
(1)求数列
的通项公式:
(2)设
,求数列
的最大项.
![](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/6d1b5c8e88ed11f5284d9f33c16bb75e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b2b38d6f7d326c969e6ee4955d2560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
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6卷引用:九师联盟(河北省)2022届高三下学期4月联考数学试题
九师联盟(河北省)2022届高三下学期4月联考数学试题(已下线)2022年高考考前20天终极冲刺攻略(三)【数学】(新高考地区专用)(5月31日)九师联盟(湖北省)2022届高三下学期4月质量检测数学试题(已下线)重难点08 七种数列数学思想方法-1(已下线)第一节 数列的概念与表示 B素养提升卷河南省南阳市第一中学校2023-2024学年高三上学期开学考试数学试题
5 . 已知数列
的前
项和为
,且
,数列
满足
,数列
的前
项和为
,则下列命题正确的是( )
![](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/03b559d9c5dd054ccffe52b5a8f080b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f10dd12dcc2c08396f742fe2ce622e.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)
A.数列![]() ![]() |
B.![]() |
C.![]() ![]() |
D.数列![]() ![]() |
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2022-03-24更新
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4卷引用:河北省石家庄市2021-2022学年高二上学期期末数学试题
河北省石家庄市2021-2022学年高二上学期期末数学试题河北省石家庄市四十四中2022-2023学年高二下学期开学考试数学试题河北省石家庄市正中实验中学2024届高三上学期月考(四)数学试题(已下线)高二数学下学期期末全真模拟卷(1)(考试范围:高中全部内容)-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
6 . 已知数列
的前n项和为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136d9500f3cb43e9907a1cd62b38763d.png)
A.![]() | B.![]() |
C.当![]() ![]() | D.![]() |
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|
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9卷引用:河北省邯郸市魏县2022-2023学年高三上学期期末考试数学试题
河北省邯郸市魏县2022-2023学年高三上学期期末考试数学试题广东省江门市2022届高三下学期3月高考模拟数学试题黑龙江省哈尔滨市第三中学校2021-2022学年高二下学期第一次验收考试数学试题(已下线)6.1 等差数列(精练)(提升版)-22023年全国新高考高三押题卷(四)数学试题(已下线)专题15 等差数列-3黑龙江省佳木斯市第一中学2022-2023学年高二下学期4月月考数学试题云南省昆明市五华区云南师大实验中学2023-2024学年高二上学期11月月考数学试题(已下线)专题04 数列的概念与等差数列(2)
7 . 已知数列
的前n项和为
,等比数列
的前n项和为
,且
,
,
,
.
(1)求
,
;
(2)若数列
满足
,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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc8f3e6ffd1d667e4ff506915ad4a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d00ce5503c703a050665f90bfb96a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e828dff17f04b6e2af710fe414623b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0dd3fb6af23def773e1b0032a4f3c5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32a57aa0c61003e27a5b512e951c556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
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2022-03-11更新
|
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5卷引用:河北省邯郸市2021-2022学年高二上学期期末数学试题
8 . 已知数列{an}的各项均为正数,数列{an}的前n项和为Sn,2Sn=(n+1)an,a1=3.
(1)求数列{an}的通项公式;
(2)设bn=(
an+1)
,求数列{bn}的前n项和Tn.
(1)求数列{an}的通项公式;
(2)设bn=(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b3d3d00aeaa5f11deaffdd9cfcef77.png)
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3卷引用:河北省名校联盟2021届高三二模数学试题
9 . 记数列
的前n项和为
,已知点
在函数
的图像上.
(1)求数列
的通项公式;
(2)设
,求数列
的前9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/e41f32693d25ece7f8e22c34a183537f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5397ee1eb6d157f6ec1e7a878f8d16e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dbfecac1f791763721738f6266aa163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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2022-02-21更新
|
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5卷引用:河北省邯郸市2018-2019学年高一下学期期末考试数学试题
解题方法
10 . 已知正项数列
的前
项和为
,且满足
,
.
(1)求数列
的通项公式
;
(2)已知
,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/59c29e8bfe54e4444a6135e67801f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8107120e073023ad75e7eaaddb1636e6.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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2022-02-10更新
|
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2卷引用:河北省秦皇岛市青龙满族自治县实验中学、第二中学等校2024届高三上学期10月联考数学试题