名校
解题方法
1 . 已知数列
的前n项和为
,
,其中
.
(1)求
的通项公式;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce817f902302ebdd5a599e43df77614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a11b8baa52b0907ec8638530f1a388.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851af767ceae88ebc6dc8822ad49a99f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bd7d18f67e90a7c37fad4252e43c9d.png)
您最近一年使用:0次
2024-03-03更新
|
1544次组卷
|
13卷引用:上海市嘉定区2024届高三一模数学试题
上海市嘉定区2024届高三一模数学试题上海市通河中学2023-2024学年高二上学期期末考试数学试题上海市上海师大附属宝山罗店中学2023-2024学年高二上学期期末诊断调研数学试题(已下线)专题05 数列(四大类型题)15区新题速递(已下线)信息必刷卷05(上海专用)河南省郑州市第十八中学2023-2024学年高二上学期期末模拟数学试题(五)(已下线)专题04 数列(2)(已下线)专题09 数列求和6种常见考法归类(3)福建省莆田第一中学2023-2024学年高二上学期期末考试数学试题安徽省合肥市普通高中联盟2023-2024学年高二上学期1月期末联考数学试题(已下线)1.2.2等差数列的前n项和公式(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)(已下线)浙江省金丽衢十二校2024届高三下学期第二次联考数学试题变式题11-15(已下线)核心考点1 数列 A基础卷 (高二期末考试必考的10大核心考点)
名校
解题方法
2 . 已知数列
的通项公式为
,若满足
,且当
时,始终满足
,则实数
的取值范围是_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a401be041cecfe79da9b65bcfedffad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29719d33af813b84dae0191ae5c92a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21bfc624d79c645c019a82e51db7d17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc89fdc74499e96541f4ebbf90a0cc87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
3 . 已知数列
满足
,其首项
,若数列
是单调递增数列,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0fa42971e7f7df459ca20f325b83931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-02-06更新
|
388次组卷
|
2卷引用:2016届上海市延安中学高三下学期适应性考试(三模)(理)数学试题
名校
4 . 数列
满足:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03176c4370562907996ac85e82a1625.png)
,给出下述命题正确的个数是:
①若数列
满足:
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd3e65f0f4bf3e5fb6570df7fb60510.png)
;
②存在常数
,使得
成立;
③若
(其中
),则
;
④存在常数
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3999dfcc6ff84b54f96963d82bea2ff1.png)
都成立
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03176c4370562907996ac85e82a1625.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d441d8fbde9b19b70dd05bc543d144c6.png)
①若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a443e3315a7fb6489b01fad7e3215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd3e65f0f4bf3e5fb6570df7fb60510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d441d8fbde9b19b70dd05bc543d144c6.png)
②存在常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee86896e2d1caeddfdcf8a5d5ade2b6.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8a7364bfd9a7d68195a31b4d245070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e4c3540d24a3cb5fc06de95a50ebc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70ce72976846c69a4cb7d1b05fc6c95.png)
④存在常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3999dfcc6ff84b54f96963d82bea2ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fc82353331abee0828dee9b38c08f2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 若数列
的前
项和
,满足
,则![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6523fd8fadea6bcea28d9214b29cd2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2020-01-06更新
|
250次组卷
|
2卷引用:上海市进才中学2017-2018学年高一下学期期末数学试题
名校
6 . 已知数列
满足
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d11354dc8b7171c2bfecdffdb3b65f.png)
,若
对任意
恒成立,则正整数
的最小值是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f5a2d5f61aea0bbc24d5cfa9d44dc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d11354dc8b7171c2bfecdffdb3b65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807d533ab6e00a24b2794ab6a6e15f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2627ec0b75380530d2df867be0ab1f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
7 . 数列
中,满足
,
,设
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd0aeb81e57a5e8c1bb4c1c611b59ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e36bff57bcfa86432b340e25e51d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f291ca62eb90dd33f8f114630ba8ce51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40220d4642a79ccca78e3088cb0ec034.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-12-13更新
|
500次组卷
|
5卷引用:上海市文绮中学2018-2019学年高二上学期期中数学试题
上海市文绮中学2018-2019学年高二上学期期中数学试题(已下线)4.3利用递推公式表示数列(第2课时)(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件山西省怀仁市2021-2022学年高二上学期期末数学(理)试题山西省怀仁市2021-2022学年高二上学期期末数学(文)试题四川省内江市第六中学2022届高三下学期考前强化训练二数学(理科)试题
名校
8 . 将正整数按下图方式排列,2019出现在第
行第
列,则
______ ;
1
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
… … …
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a0ffd97e63546f5181037e416a46aa.png)
1
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
… … …
您最近一年使用:0次
名校
9 . 已知数列
满足:
(
),设
的前
项和为
,则
______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d603205645cc1ba1cec83fdb20793144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.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/254cff7d37ea8004d02d86f641f8bbe5.png)
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10 . 已知数列
满足
,
,
.
(1)若
,写出
所有可能的值;
(2)若数列
是递增数列,且
、
、
成等差数列,求p的值;
(3)若
,且
是递增数列,
是递减数列,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1e1859e115c1787dac6e874aa9f02f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194b8ab194c7d299d5c3e0f09ec18384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911278aa8595846abac1972e1de59995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51bf3c79715926149d542b6941db3da4.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f970f380a12c843bb4a74ff34a15b2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf33b2a94eae16760d746f9b4b8dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8194a62bc60a9da9b5cf76f9dc0fa09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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