名校
解题方法
1 . 记等差数列
的公差为
,前
项和为
;等比数列
的公比为
,前
项和为
,已知
,
,
.
(1)求
和
;
(2)若
,
,
求
的前
项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.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/fcf1345f779098a0082116b8255446c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02463e9b2089eb9060c41c2df9bb2fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f06a96518327424f79ee0fb6529f1e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0be8b03a34f7ad7f9c2f970c1b6b837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7005224d482d104b0a4ff6d593eefd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d05bf21964ab8401f66961eb68691a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
您最近一年使用:0次
2023-03-07更新
|
1861次组卷
|
5卷引用:福建省晋江市第一中学2023-2024学年高二下学期期中考试数学试卷
名校
2 . 等差数列
的首项为1,公差不为0.若
成等比数列,则
的通项公式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e018deab6a5ae6fb4d47b8e197df4df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-02-14更新
|
1176次组卷
|
6卷引用:福建省泉州市剑影实验学校2022届高三上学期期中考试数学试题
名校
解题方法
3 . 已知数列
的前
项和
.
(1)求
的通项公式;
(2)求
.
![](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/31aa1aff4d256a7ccf2142fa96c128a8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a2cca5d96b9604b74ce0fc70030c64.png)
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2022-12-15更新
|
555次组卷
|
2卷引用:福建省厦门外国语学校石狮分校2022-2023学年高二上学期期中考试数学试题
名校
4 . 已知数列
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52efe95934c78d8411ed4184ce08ca85.png)
A.此数列的通项公式是![]() | B.![]() |
C.此数列的通项公式是![]() | D.![]() |
您最近一年使用:0次
2022-12-15更新
|
1085次组卷
|
10卷引用:福建省厦门外国语学校石狮分校2022-2023学年高二上学期期中考试数学试题
福建省厦门外国语学校石狮分校2022-2023学年高二上学期期中考试数学试题福建省宁德市2022-2023学年高二上学期期中数学试题(B卷)陕西省西安市西航一中2022-2023学年高二上学期期中数学试题(已下线)专题11 求数列的通项公式与前n项和广西壮族自治区梧州市苍梧中学2022-2023学年高二上学期期末数学试题黑龙江省鸡西市鸡西实验中学2022-2023学年高二下学期4月月考数学试题福建省莆田锦江中学2023-2024学年高二上学期第一次月考数学试题河北省石家庄市第一中学东校区2022-2023学年高二上学期教学质量检测数学试题(四)陕西省宝鸡市渭滨区2023-2024学年高二上学期期末数学试题(已下线)4.1.1 数列的概念(第1课时)(分层作业)(3种题型分类基础练+能力提升练)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第二册)
名校
解题方法
5 . 已知数列
满足
2,
.
(1)求
,并求数列
的通项公式;
(2)若记
为满足不等式
的正整数的个数,求数列
的前n项和为
,求关于n的不等式
的最大正整数解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341449d00c7213b310662b709b580d5a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed529240a883f68f0921e818addeb9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edd89d32ce7758e30beabc5b5f8e9db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da2c478b20f8e64e755e95cfbc37a29d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4796ab389935d763a3db9a012d1df3.png)
您最近一年使用:0次
名校
解题方法
6 . 设各项均为正数的数列
的前n项和为
.且
,
.
(1)求数列
的通项公式;
(2)设
,其前n项和
,证明:
.
![](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/b9f188687f2c77c449ea0b133274ae35.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00eca7caa3c3fe0a70e9a51387d26af0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b289f8b7e45582b3cb3cde401525b1dc.png)
您最近一年使用:0次
2022-11-18更新
|
909次组卷
|
2卷引用:福建省泉州第五中学2023届高三上学期期中考试数学试题
7 . 数列
满足
,
,
,则下列说法正确的是( )
![](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/5cfb19f0c37a72b33083ae9319f11a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
名校
8 . 已知等差数列
的前n项和为
,若
,
,则
( )
![](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/f9dd8d7d1a6821122cedd036ef8ecced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c587619a3f4dd2679eab0590c55a76da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30eb42578f654fb61e826026d2199751.png)
A.77 | B.88 | C.99 | D.110 |
您最近一年使用:0次
2022-11-18更新
|
1091次组卷
|
6卷引用:福建省泉州第五中学2023届高三上学期期中考试数学试题
名校
解题方法
9 . 已知数列
为正项等比数列,
;数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0796b7733ada9674e3658a77cbcb1770.png)
.
(1)求
;
(2)设
的前
项和
,求证:
.
![](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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0796b7733ada9674e3658a77cbcb1770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882e9ffd82b2f76b774980a24d485409.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da72309d2507e2f5e5ed88d8cc08963.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/f1cb91e89800a81f4d62ed75c3ace24a.png)
您最近一年使用:0次
2022-11-15更新
|
489次组卷
|
2卷引用:福建省安溪一中、养正中学、惠安一中、泉州实验中学2023届高三上学期期中联考数学试题
解题方法
10 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9eb5a7ab2dd2a625a90c932d0dc588.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c9602285be94cd2e7c250a8717c7ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9eb5a7ab2dd2a625a90c932d0dc588.png)
您最近一年使用:0次