1 . 若数列
满足,
,
,则数列
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778ebeb0700dcfe81f8806b61a6bf78d.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/04c2864e2ec3416cc4c081ac1f71a0af.png)
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7卷引用:四川省南充市2017届第三次诊断考试数学(理)试题
四川省南充市2017届第三次诊断考试数学(理)试题内蒙古阿拉善盟第一中学2020-2021学年高三上学期开学考试理科数学试题四川省泸县第五中学2022-2023学年高三下学期开学考试数学(理)试题沪教版(2020) 选修第一册 高效课堂 第四章 单元测试上海财经大学附属中学2022-2023学年高一下学期期末数学试题(已下线)第4章数列【单元提升卷】-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)第6课时 课前 数列通项的求法
2 . 在计算机语言中,有一种函数
叫做取整函数(也叫高斯函数),它表示y等于不超过
的最大整数,如
,已知
,
(
,且
),则数列
的前2020项的和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d238a52feae87b0778ba324dc144d50.png)
____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4849a924fd4c3b0662b3887c66a525af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e92658090fce280e62286f7b90c13f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b717e8f009919e882a6ac20a5fc1a907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9877ab742e831f02df85bbf001c7f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d238a52feae87b0778ba324dc144d50.png)
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名校
解题方法
3 . 已知
是等差数列
的前
项和,
,
,设
为数列
的前
项和,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12874a5fab429bb2ffdfa69566c1d20a.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fcd86b9ed6819116a261629f96fae1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b46fe260155505a99429b22f31004c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12874a5fab429bb2ffdfa69566c1d20a.png)
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3卷引用:天津市五校2019-2020学年高二上学期期末联考数学试题
名校
解题方法
4 . 函数
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
_________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cb72be9391a957ed2096816d7b9a0e.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2eaecb2835d996da3045281b33c70b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18710584da94ef88ff484997aba94fe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cb72be9391a957ed2096816d7b9a0e.png)
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5 . 设
为数列
的前
项和,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14f5fdf0e4f9de36f08402dd96d237e.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14f5fdf0e4f9de36f08402dd96d237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3998df04d0a8ded946c3f39d545fdc7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
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6 . 数列
中,
,且
,记数列
的前
项和为
,若
对任意的
恒成立,则实数
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a58f99d18f5dd045b2b443855df733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f82ac9ecabb53766e9e5cda2361824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a58f99d18f5dd045b2b443855df733.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/cace8589506d974d1fb8636c3ce36e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5cf9c12181dd8683944b2b30bf8e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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5卷引用:江苏省苏州市吴中区木渎高级中学2020-2021学年高二上学期期中数学试题
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2022高三·全国·专题练习
7 . 已知
是数列
的前
项和,
,
,
,求数列
的通项公式___________ .
![](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/13a81629a78f2ee0506c2f889b79083e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d8e8f821111de8075e5c3dfb22a5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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10卷引用:江西省宁冈中学2021届高三上学期开学考试数学(理)试题
江西省宁冈中学2021届高三上学期开学考试数学(理)试题(已下线)6.3 利用递推公式求通项(精练)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)吉林省梅河口市第五中学2021-2022学年高三上学期第一次月考数学(理)试题(已下线)专题4.2 数列 章末检测2(中)-【满分计划】2021-2022学年高二数学阶段性复习测试卷(苏教版2019选择性必修第一册)吉林省通化市梅河口市第五中学2021-2022学年高二上学期期中数学试题(已下线)专题15 数列构造求解析式必刷100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)(已下线)专题13 数列的性质必刷小题100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)江苏省泰州市泰兴市第一高级中学2021-2022学年高二上学期期中数学试题(已下线)专题6-1 数列递推与通项公式22种归类-2(已下线)专题14 数列的通项公式(已知递推式)-2
8 . 数列
前
项和为
,则数列
的前
项和为__________ .
![](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/5214be4ab4c116b6d8beb768db721cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d262f570a404e8f5c1cebf1bb541415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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9 . 已知数列
的前n项和为
,通项公式
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e7dfbd971d9313149d43f525207a16.png)
________ .
![](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/c00a3c4f3eeb5e8da86c3464080244ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e7dfbd971d9313149d43f525207a16.png)
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10 . 若
,则数列
的前21项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb261bb45b5137a7236ccddcfdface6f.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c731a8f1ac4d99e3e9111e5e111d13e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb261bb45b5137a7236ccddcfdface6f.png)
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6卷引用:山东省济宁市2020-2021学年高二上学期期末数学试题
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