名校
解题方法
1 . 已知等比数列{
}的各项均为正数,
,
,
成等差数列,
,数列{
}的前n项和
,且
.
(1)求{
}和{
}的通项公式;
(2)设
,记数列{
}的前n项和为
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8afb5276cccd088ed7cada99858bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4774fd0e7fbe540dd8f52c67ac6a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f136cae0bc90e8f766e2829d26158d57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0215212eecedc2449d33deb084bf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
(1)求{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b270d6d8dbfd68245b0b98d5a2b7ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3970764ee88225c452c40de226eafcbc.png)
您最近一年使用:0次
2022-03-31更新
|
938次组卷
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2卷引用:天津市部分区2021-2022学年高二上学期期末数学试题
名校
解题方法
2 . 已知数列
是公差不为0的等差数列,数列
是公比为2的等比数列,
是
,
的等比中项,
,
.
(1)求数列
,
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c44eb9e8d1bc82d365c2a672a6d53f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9813a9a34a595f123a205e73d0490d49.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2022-03-30更新
|
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4卷引用:天津市河东区2022-2023学年高二上学期期末数学试题
天津市河东区2022-2023学年高二上学期期末数学试题江苏省南通市海安市2021-2022学年高二上学期期末数学试题云南省会泽县实验高级中学校2021-2022学年高二4月月考数学试题(已下线)高二数学下学期期末精选50题(提升版)-2021-2022学年高二数学考试满分全攻略(人教A版2019选修第二册+第三册)
名校
解题方法
3 . 设数列
的前
项和为
,
,数列
满足
,
.
(1)求数列
的通项公式;
(2)求数列
的通项公式;
(3)设数列
,求数列
的前
项和
.
![](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/83fd67e206753eff52406291c19daa38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c1e5af7119d992d5926829188de27f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fb2435688b8751c160cb08d8a3bffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
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2022-03-26更新
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4卷引用:天津市第四十七中学2022届高三下学期3月线上练习二数学试题
天津市第四十七中学2022届高三下学期3月线上练习二数学试题山西省太原市2022届高三第一次模拟数学(理)试题(已下线)押全国卷(理科)第17题 解三角形与数列-备战2022年高考数学(理)临考题号押题(全国卷)江西省南昌市第二中学2022-2023学年高二下学期3月月考数学试题
4 . 若函数
,则称f(x)为数列
的“伴生函数”,已知数列
的“伴生函数”为
,
,则数列
的前n项和
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfb19f0c37a72b33083ae9319f11a74.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/1d01cb00904ee16178c7c35d7e0a8d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0496f142d8ae5acb06e83526eaa3ef87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-03-18更新
|
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3卷引用:天津市天津中学2022-2023学年高二上学期期末数学试题
名校
5 . 设
是公差
的等差数列,如果
,那么
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc807ea4b8a7ed325aee49aa292552ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6345c4db57be1d4ae6a200ac1b462a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640bdc4b37a9ae42a1d96d452e605b6f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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5卷引用:天津市南开中学2021-2022学年高二上学期期末数学试题
名校
6 . 已知数列
是等比数列,
,数列
是等差数列,
,则的
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ffc6504a59356f658afd1337dd6ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e9266ba97d1457fa19dfa2a258671c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112fd2dacf70f1f1e2385a99f99f299f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6卷引用:天津市南开中学2021-2022学年高二上学期期末数学试题
天津市南开中学2021-2022学年高二上学期期末数学试题天津市四校(杨柳青一中、咸水沽一中 、四十七中,一百中学)2020-2021学年高二上学期期末联考数学试题山西省晋城市泽州县晋城一中教育集团南岭爱物学校2022-2023学年高二上学期第五次调研考试数学试题(已下线)4.3.1.2 等比数列的性质及应用(练习)-2022-2023学年高二数学同步精品课堂(人教A版2019选择性必修第二册)天津市南仓中学2022-2023学年高二上学期期末数学试题(已下线)4.3.1 等比数列的概念(2)
名校
解题方法
7 . 已知
满足
,
.
(1)求证:
是等差数列,求
的通项公式;
(2)若
,
的前
项和是
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0995730f94c8145c8974646f7db9878.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bdbde4eb7e4d4033bb9053b6c806e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1167a1fd44aa9ec7ce730dc7f75a3a.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d76c3eb0a07a827877d7a4dc306211.png)
您最近一年使用:0次
2022-03-16更新
|
914次组卷
|
2卷引用:天津市五校2021-2022学年高二上学期期末联考数学试题
8 . 已知数列
中,
,且满足
.
(1)求证数列
是等差数列,并求数列
的通项公式;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee995588e1465c55c7b6e9e928da489.png)
(1)求证数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bdbde4eb7e4d4033bb9053b6c806e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2022-03-15更新
|
1440次组卷
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4卷引用:天津市河西区2021-2022学年高二上学期期末数学试题
9 . 将数列
中的各项依次按第一个括号1个数,第二个括号2个数,第三个括号4个数,第四个括号8个数,第五个括号16个数,…,进行排列,
,
,…,则以下结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000878a4785933077d2047002ceefe64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84c2db79de427f0ce81bec052dceb58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a638c53d3ad08e1a12f8278f641398ec.png)
A.第10个括号内的第一个数为1025 | B.2021在第11个括号内 |
C.前10个括号内一共有1025个数 | D.第10个括号内的数字之和![]() |
您最近一年使用:0次
10 . 公差不为零的等差数列
中,已知其前n项和为
,若
,且
成等比数列.
(1)求数列
的通项
;
(2)当
时,求数列
的前n和
.
![](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/92b2315e3c0cdab972facd98649c36d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d179ded498d29710e3d7c9a036f1f46.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ec386f0f3ddad65efa9fac2d5bc5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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|
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2卷引用:天津市南开区2021-2022学年高二上学期期末数学试题