名校
解题方法
1 . 已知等差数列
的公差
,且
,
的前
项和为
.
(1)求
的通项公式;
(2)若
,
,
成等比数列,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1344592c925b273f2cb9b9e47ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b193f81ed806acca8923f891ad398a.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/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1752474698cd5466dd180df0a00ba9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bbae9353140c2235610852d04a9a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2022-05-22更新
|
1241次组卷
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9卷引用:辽宁省部分重点高中2020-2021学年高二下学期期中考试数学试题
辽宁省部分重点高中2020-2021学年高二下学期期中考试数学试题北京市海淀区北京理工大学附属中学2020-2021学年高二6月月考数学试题辽宁省沈阳市第八十三中学2021-2022学年高二下学期期初考试数学试题辽宁省六校2021-2022学年高二下学期期中联考数学试题【区级联考】北京市海淀区2019届高三4月期中练习(一模)数学文试题2020届北京市中国人民大学附属中学高三上学期期中模拟统练(七)数学试题(已下线)专题01 等差与等比数列的基本量的计算(第二篇)-备战2020年高考数学大题精做之解答题题型全覆盖北京市第十五中学2021-2022学年高二下学期期中考试数学试题(已下线)第03讲 等比数列及其前n项和 (练)-2023年高考数学一轮复习讲练测(新教材新高考)
名校
解题方法
2 . 设等差数列{an}的前n项和为Sn,已知a6=1,S10=0.
(1)求数列{an}的通项公式an;
(2)记Tn=
,数列{Tn}是否存在最大项?若存在,求出这个最大项;如不存在,请说明理由.
(1)求数列{an}的通项公式an;
(2)记Tn=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f037a5584e1c581e348c2255d96fae8.png)
您最近一年使用:0次
2022-04-01更新
|
456次组卷
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5卷引用:辽宁省丹东市2020-2021学年高二下学期期末数学试题
辽宁省丹东市2020-2021学年高二下学期期末数学试题(已下线)4.2 等差数列-2021-2022学年高二数学同步精品课堂讲+例+测(苏教版2019选择性必修第一册)吉林省通化市辉南县第一中学2021-2022学年高二上学期第三次月考数学试题浙江省金华市义乌市商城学校2021-2022学年高二上学期12月月考数学试题(已下线)专题5 等差数列的单调性和前n项和的最值问题 微点3 等差数列的单调性和前n项和的最值问题综合训练
名校
解题方法
3 . 记
为等差数列
的前
项和,已知公差
,
,且
,
,
成等比数列.
(1)求数列
的通项公式;
(2)若
为数列
的前
项和,求
.
![](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/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ec42a1fb4d702c725f469141866bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e84c30444f13d37ada78285dc4f83b7.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-03-12更新
|
998次组卷
|
5卷引用:辽宁省丹东市凤城一中2020-2021学年高二下学期4月月考数学试题
辽宁省丹东市凤城一中2020-2021学年高二下学期4月月考数学试题广西桂林、崇左、贺州市2022届高三3月高考联合调研考试数学(理)试题广西桂林、崇左、贺州市2022届高三3月高考联合调研考试数学(文)试题(已下线)专题18 数列求和-2022届高考数学一模试题分类汇编(新高考卷)广西南宁高新技术产业开发区桂鼎学校2021-2022学年高二下学期3月月考数学(文)试题
名校
4 . 在等差数列
中,已知前n项和为
,
,
.
(1)求
的通项公式;
(2)令
,
的前n项和
,求使得
成立的n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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2c8dedfa4e56af166f7a3f6bd91ad2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e191086446263b7bbbd93613577c42.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/50dc5a46c9e7f758ba3288f2d2985bdf.png)
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2022-02-15更新
|
954次组卷
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3卷引用:辽宁省2021-2022学年高三上学期期中考试数学试题
辽宁省2021-2022学年高三上学期期中考试数学试题辽宁省抚顺市抚顺县高级中学校2021-2022学年高二下学期3月月考数学试题(已下线)高二数学下学期期中精选50题(基础版)-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)
5 . 已知等差数列
的前
项和为
,且
,
.
(1)求数列
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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b372f745c7e19c08b709a680d002d277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbb1d10e749c595864f406ab0389540.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ba25f38089c2e749fde2bbb86995a8.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)
您最近一年使用:0次
2021-12-16更新
|
1599次组卷
|
6卷引用:辽宁省名校联盟2021-2022学年高三上学期12月份联合考试数学试题
名校
解题方法
6 . 已知等差数列
满足
,
.
(1)求
的通项公式;
(2)设等比数列
满足
,
,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/f28171b364c85b51806eddb2c210cc1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8d5ef4302d8b46b28dda938d22500e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c340fdadffa2f9120a70430ce477f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d12bacf6421a87f6f671dac42aa482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996fdd05d1eae9adb43efea967226400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
名校
解题方法
7 . 已知等差数列
的前
项和为
,且
,
.
(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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016d77d714883e5f5bab70db1511d729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89af1dfcf1cc8db840642cb031de18db.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf3613cd3c7b9fb7639a2acee7af16b.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)
您最近一年使用:0次
名校
解题方法
8 . 已知等差数列
的前n项和为
,且
.
(1)求
的通项公式以及
;
(2)求使不等式
成立的最小值n.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554624ba988152f026ad5c4382bf248e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)求使不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cafb7f75e134cc63430917c00977dd3.png)
您最近一年使用:0次
2021-11-19更新
|
832次组卷
|
2卷引用:辽宁省大连市第八中学2021-2022学年高三上学期12月月考数学试题
名校
解题方法
9 . 已知等比数列
的公比和等差数列
的公差为
,等比数列
的首项为
,且
,
,
成等差数列,等差数列
的首项为
.
(1)求
和
的通项公式;
(2)若数列
的前
项和为
,求证:
.
![](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/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d473bfcc52ebc119430335531488a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a6c852d593cb9f6bdfd9eeddb50fa3.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/3819480e1e624208f729ad8653e4f24f.png)
您最近一年使用:0次
2021-11-07更新
|
1069次组卷
|
5卷引用:辽宁省实验中学2021-2022学年高三上学期期中数学试题
解题方法
10 . 在等差数列
中,已知
公差
,其前
项和
满足
.
(1)求数列
的通项公式;
(2)设数列
的前
项和为
,求
的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14f5fdf0e4f9de36f08402dd96d237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.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/d3bd3e4f016cb6b9916301327e4a00e9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e975aac56a564e396d2826754c4791b.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2021-11-01更新
|
1646次组卷
|
6卷引用:辽宁省沈阳市三校2021-2022学期高三上学期联考数学试题
辽宁省沈阳市三校2021-2022学期高三上学期联考数学试题(已下线)第4章 数列(章末测试基础卷)-2021-2022学年高二数学同步单元测试定心卷(苏教版2019选择性必修第一册)(已下线)第20讲 数列的通项公式-2022年新高考数学二轮专题突破精练(已下线)专题5数列运算综合闯关 (基础版)海南省白沙县2023届高三下学期2月水平调研测试数学科试题黑龙江省齐齐哈尔市部分地区3校2023届高三上学期期中数学试题