名校
解题方法
1 . 已知
是等差数列,
,其前5项和
.
(1)求
的通项
;
(2)求
前
项和
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fadb8c32a967769b3f578c946406bb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36989853e0d247e504b292e17d8a8cfb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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
2022-07-11更新
|
1193次组卷
|
6卷引用: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
(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北京市平谷区2021-2022学年高二下学期期末考试数学试题北京市对外经贸大学附属中学2022-2023学年高二上学期期中质量监测数学试题浙江省嘉兴八校联盟2022-2023学年高二上学期期中数学试题(已下线)第3讲 等差数列的前 项和及性质10大题型(4)(已下线)专题01 等差数列4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(北京专用)
2 . 已知等差数列
的前
项和为
,且满足:
,
.
(1)求数列
的通项公式;
(2)记数列
的前
项和为
,求
取得最大值时
的值.
![](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/c01275cebf334efe1639f838efc720c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856789e8ef3064cab89d8de2daf6069d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dea1dd4ffcb4cf0697ca43079f6a1f2.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
解题方法
3 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8fd68bd0981129f38ae035188362d7d.png)
这三个条件中任选一个,补充在下面问题中,并给出解答.
设等差数列
的前
项和为
,数列
的前
项和为
,________,
,若对于任意
都有
,且
(
为常数),求正整数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8fd68bd0981129f38ae035188362d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df53177b1f67f59ff4367e82c2b4658e.png)
设等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/5fce83115a50f99e08e9a2db7267aeed.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/a43eb621ec7eab511009094b1589b4dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d806feb93ef453e70e757577c5f952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1340718507150998c9ac8fc3c119d649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-05-12更新
|
625次组卷
|
4卷引用:2020届山东省聊城市高三高考模拟(一)数学试题
4 . 在等差数列{an}中,a10=23,a25=-22.
(1)数列{an}前多少项和最大?
(2)求{|an|}的前n项和Sn.
(1)数列{an}前多少项和最大?
(2)求{|an|}的前n项和Sn.
您最近一年使用:0次
2021-07-31更新
|
1132次组卷
|
5卷引用:考点20 等差数列及其前n项和-备战2022年高考数学一轮复习考点帮(浙江专用)
(已下线)考点20 等差数列及其前n项和-备战2022年高考数学一轮复习考点帮(浙江专用)2016-2017学年安徽六安一中高二理上国庆作业数学试卷(已下线)专题4.2 等差数列-2020-2021学年高二数学同步培优专练(人教A版2019选择性必修第二册)(已下线)综合复习与测试基础提升(卷二)-【提升专练】2021-2022学年高二数学新教材同步学案+课时对点练(苏教版2019选择性必修第一册)河北省辛集市2022-2023学年高二上学期期末数学试题
名校
解题方法
5 . 已知等差数列
满足
,公差
.
(1)求数列
的通项公式;
(2)数列
的前n项和
是否存在最小值?若存在,求出
的最小值及此时n的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed04915f942ba96d2209f6d0f3a890c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f2572192cc7ca046e9a3155ef3e56a.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)数列
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
6 . 已知数列
为等比数列,且
,数列
满足
,若
,
.
(1)求数列
的通项公式;
(2)设数列
前
项和为
,若当且仅当
时,
取得最大值,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b72ddd7de598464a37b10f03f67b904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627e48c5ab76f5d1874c57a40d32d89e.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/8e20c2688b449d068ff8d90e1bc6c8ed.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/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-03-07更新
|
347次组卷
|
4卷引用:北京市大兴区2019~2020学年度高三第一学期期末检测数学试题
北京市大兴区2019~2020学年度高三第一学期期末检测数学试题(已下线)专题10 少丢分题目强化卷(第二篇)-备战2021年新高考数学分层强化训练(北京专版)(已下线)考点3 等差列的前n项和及其性质 2024届高考数学考点总动员湖北省孝感市汉川二中2020-2021学年高二上学期12月月考数学试题
名校
解题方法
7 . 已知数列
是首项等于
的等比数列,公比
,
是它的前
项和,满足
.
(1)求数列
的通项公式;
(2)设
(
,
为常数)求数列
的前
项和
的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8d1ca7682da10dc7f36e858593d51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64139c6e0676262869e95f51af15f2a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0964c3a6191406b25622563fbdcc4b3c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17046956a805f493789d87f293362096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.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
8 . 在公差是整数的等差数列
中,
,且前
项和
.
(1)求数列
的通项公式
;
(2)令
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738dc67ac3b150252a964d1ffe3dfa63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe117de8aed8605d27303f81f06c8eed.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ebf05ca12f9da810b2b10e066ececf.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
2019-09-13更新
|
1777次组卷
|
7卷引用:湖南省长沙市明德中学2019-2020学年高三上学期11月第五次月考文科数学试题
湖南省长沙市明德中学2019-2020学年高三上学期11月第五次月考文科数学试题【全国市级联考】河北省唐山市2018-2019学年高一下学期期末联考数学试题山东省枣庄市滕州市滕州市第一中学2019年高二上学期10月月考数学试题江西省安福中学2019-2020学年高一(普通班)下学期线上考试数学试题河北省沧州市任丘市第一中学2019-2020学年高一下学期入校教学质量检测数学试题(已下线)4.2.2 等差数列的前n项和(精练)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)河北省唐县第一中学2021-2022学年高一下学期开学考试数学试题
名校
9 . 已知公差大于零的等差数列
的前
项和为
,且满足
,
.
(1)求数列
的通项公式;
(2)求
的最小值;
(3)若数列
是等差数列,且
,求非零常数
.
![](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/b75b2793adac495e60e2b9f004d5df73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80735b4ccb365831ac19a2ad06d3973.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e4a9bdb1a7d858f6fddd7b1b5c1793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2019-08-17更新
|
1079次组卷
|
3卷引用:智能测评与辅导[理]-等差数列
名校
10 . 已知
是等差数列
的前n项和,且
.
(1)求数列
的通项公式;
(2)
为何值时,
取得最大值并求其最大值.
![](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/0328681581c0ecad3ab780b6976bc47c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)
![](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
2019-07-06更新
|
8837次组卷
|
18卷引用:第02讲 等差数列及其前n项和 (高频考点—精讲)-2
(已下线)第02讲 等差数列及其前n项和 (高频考点—精讲)-2甘肃省平凉市2023届高三上学期11月期中理科数学试题四川省雅安市2018-2019学年高一下学期期末数学试题上海市晋元高级中学2019-2020年高二上学期9月阶段反馈数学试题四川省棠湖中学2019-2020学年高一下学期第四学月考试数学(文)试题广西南宁三十六中2020-2021学年高二9月份月考数学试题甘肃省临夏回族自治州广河县三甲集中学2019-2020学年高二上学期期末数学理试题广西平果市第二中学2020-2021学年高一下学期期中考试数学试题河南省平顶山市九校联盟2021-2022学年高二上学期期中考试数学试题四川省成都市教科院2021-2022学年高一下学期期中考试数学试题山东省临沂市平邑县第一中学东校区2022-2023学年高二上学期期末数学试题黑龙江省哈尔滨工业大学附属中学校2022-2023学年高二上学期期末数学试题福建省连城县第一中学2023-2024学年高二上学期8月月考数学试题上海市莘庄中学2023-2024学年高二上学期10月月考数学试题黑龙江省哈尔滨市德强高级中学2023-2024学年高二上学期期中数学试题广东省深圳市罗湖高级中学2023-2024学年高二上学期12月阶段性考试数学试题黑龙江省哈尔滨市宾县第二中学2023-2024学年高二上学期第三次月考数学试题 陕西省安康市高新中学2023-2024学年高二上学期12月月考数学试题