1 . 若数列
满足:对任意的
,只有有限个正整数k使得
成立,记这样的k的个数为
,则得到一个新数列
,例如,若数列
,则数列
是0、1、2、…、
、…,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a399158566ffb31c198cd6fadc983e.png)
_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b18daa9be42f1a2056250df4504a774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a655a5e5876d813e5cb2609c133f95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84c72d8d3829f1f18e6f88cc66c2299e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c1ed7b10ac7ca1cd81cdd39a8fcc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84c72d8d3829f1f18e6f88cc66c2299e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0dd3ce757a2ad080ece0e34424fb05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a399158566ffb31c198cd6fadc983e.png)
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12-13高三·天津·阶段练习
名校
解题方法
2 . 设等差数列
的前
项和为
,若
,
,则
______ .
![](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/5170584604571b5e1afd5ece941e2e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa54a479e4178d698818f69d859fe13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c897ce0bbc7080146baccdb2bfb761.png)
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2021-12-25更新
|
1533次组卷
|
18卷引用:上海市长征中学2017-2018学年高二上学期期中数学试题
上海市长征中学2017-2018学年高二上学期期中数学试题(已下线)2013届天津市天津一中高三第二次月考文科数学试卷2015-2016学年宁夏银川九中高二上学期期中考试数学试卷黑龙江省安达市田家炳高级中学2017-2018学年高一下学期期末考试数学试题天津市宝坻区大口屯高级中学2019-2020学年高二上学期第一次月考数学试题福建省龙岩市非一级达标校2018-2019学年高二上学期期末教学质量检查数学(理)试题沪教版(上海) 高二第一学期 新高考辅导与训练 第7章 数列与数学归纳法 本章复习题内蒙古自治区化德县第一中学2020-2021学年高二第一学期期中考试数学试题山东省泰安市新泰市新汶中学2021-2022学年高二上学期12月月考数学试题人教B版(2019) 选修第三册 一蹴而就 第五章 5.2.2 等差数列的前n项和 第二课时 等差数列的前n项和(2)广东省湛江市雷州市白沙中学2021-2022学年高二下学期第一次月考数学试题(已下线)4.1等差数列的前n项和(第2课时)(1)江苏省盐城市实验高级中学2022-2023学年高二上学期期末数学试题内蒙古蒙东七校2023-2024学年高三上学期十一月联考理科数学试卷湖南省株洲市攸县健坤高级中学2023-2024学年高二上学期第三次月考数学试题黑龙江省双鸭山市饶河县高级中学2021-2022学年高二上学期期末数学试题人教A版(2019) 选修第二册 数学奇书 第四章 数列 4.2等差数列 4.2.2 等差数列的前n项和公式 第1课时 等差数列的前n项和宁夏银川市第三十一中学2023-2024学年高二下学期第一次月考数学试卷
3 . 已知集合
,
,将
中的所有元素按从小到大的顺序排列构成一个数列
,设数列
的前
项和为
,则使得
成立的最小的
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42987ee95fbb1a56a57811c1cfb5dfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e9181a47ddfabebbd1b16a8dbbe9a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7a73296e73929a61dc8847f26c80c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2021-12-25更新
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2414次组卷
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10卷引用:上海市晋元高级中学2022-2023学年高二上学期期中数学试题
上海市晋元高级中学2022-2023学年高二上学期期中数学试题上海市嘉定区2022届高三一模数学试题重庆市第八中学2022届高三下学期调研检测(五)数学试题(已下线)专题07 数列小题大做-备战2022年高考数学冲刺横向强化精练精讲(已下线)数学-2022届高三下学期开学摸底考试卷(山东专用)(已下线)数学-2022年高考押题预测卷03(上海专用)广东省广州市铁一三校2021-2022学年高二下学期期末数学试题第四章 数列(单元测)上海市松江一中2021-2022学年高二上学期期末数学试题辽宁省六校2023-2024学年高三上学期期初考试数学试题
名校
4 . 已知数列
为等差数列,其前n项和为
,若
,
,则数列
的通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.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/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca2cc2768794136c1e4da47d2f0873e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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名校
5 . 设等差数列
的前
项为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb28d9e94c098eb48d50dbc70995082b.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713fbef3475a149348f4940db413cec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb28d9e94c098eb48d50dbc70995082b.png)
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6 . 设
是等差数列
的前n项和(
)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60bc9eea903bb788604e798f8f47a9f8.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/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26985320c758b0fd7cbe44ef31bd7824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60bc9eea903bb788604e798f8f47a9f8.png)
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2020-07-06更新
|
247次组卷
|
4卷引用:2020届上海市普陀区高三二模数学试题
解题方法
7 . 记
为等差数列
的前n项和,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.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/da67a27aec48457012b9370f17a6a519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
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2020-05-21更新
|
234次组卷
|
3卷引用:上海市普陀区2024届高三上学期期中调研测试数学试题
名校
解题方法
8 . 已知
为等差数列,其前n项和
,若
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a0eecb5b800fce9ae10aed86ffee62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6cae27fb7b5cdf62eb870ced5a2e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
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2020-02-11更新
|
316次组卷
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6卷引用:上海市晋元高级中学2022届高三上学期期中数学试题
名校
解题方法
9 . 定义
为
的最小值,若
,对于任意的
,均有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1299f509e55e46263a4aaaa37d46057.png)
成立,则实数
的取值范围是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da7f26cf36177a1f1a2531b44c54c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9304e71a623c4412188a800046a970d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2497c2422dcd37bfccacf9e333b73baa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1299f509e55e46263a4aaaa37d46057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71823d1bf0aa59dbad9ccd43195ffc3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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10 . 数列
满足
,
,
,则数列前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c88abd936125401c8d7e3bc21f4396.png)
______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3ce9e3a7daa1c49f0aa29a58cbf506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e36bff57bcfa86432b340e25e51d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c88abd936125401c8d7e3bc21f4396.png)
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2020-01-09更新
|
838次组卷
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4卷引用:上海市曹杨二中2017-2018学年高二上学期10月月考数学试题
上海市曹杨二中2017-2018学年高二上学期10月月考数学试题江苏省常州市八校2021-2022学年高二下学期5月联考数学试题上海市吴淞中学2023届高三上学期开学考数学试题(已下线)第04讲 数列求和 (高频考点—精练)