名校
解题方法
1 . 已知数列
的通项公式为
,数列
的通项公式为
,设
,若在数列
中,
,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/db3de7a3d94001b74ceef61edf20c121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56671e906550c69fbf1347a26bb29695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0786af86482b3d732cc6f5fd1ae400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d592db42790ad972c06fe9b31007f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
2019-01-30更新
|
404次组卷
|
7卷引用:2015届河南省商丘市高三第一次模拟考试理科数学试卷
2015届河南省商丘市高三第一次模拟考试理科数学试卷2015届山西大学附属中学高三上学期期中考试理科数学试卷2015-2016学年江西省九江一中高二上学期期中数学试卷江苏省无锡市南菁高级中学2020-2021学年高二(强化班)上学期10月第一次阶段性考试数学试题江西省分宜中学2020-2021学年高一(课改班)下学期第二次段考数学试题(已下线)4.3.1-4.3.2 等比数列的概念和通项公式-2022-2023学年高二数学《基础·重点·难点 》全面题型高分突破(苏教版2019选择性必修第一册)(已下线)专题8 等比数列的单调性 微点2 等比数列单调性综合训练
名校
2 . 已知数列
的前
项和为
,且
,
,若不等式
.对任意的
恒成立,则
的取值范围是__________ .
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07949781adffad427ef884a91f4f04fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd5dce3936b0f0eabdc15913a0d835d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2018-03-03更新
|
1120次组卷
|
5卷引用:河南省实验中学2019-2020学年高二上学期中数学(文)试题
名校
3 . 已知从1开始的连续奇数蛇形排列形成宝塔形数表,第一行为
,第二行为
,
,第三行为
,
,
,第四行为
,
,
,
,如图所示,在宝塔形数表中位于第
行,第
列的数记为
,例如
,
,
,若
,则
( )
![](https://img.xkw.com/dksih/QBM/2019/7/1/2237336549089280/2237737006391296/STEM/219bbb10071844e9bfa859e3606368e5.png?resizew=189)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0b71b8d2c183154221f717ce09077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5453184e251cfe787b5965cd38426962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feda926749de04fa585f73f84c568f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be7581dbbccda50e5d5cd18056ddea.png)
![](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/27852a3da12a063b301ef9b034803e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fbb7397f2a4e7afb7361a13d7b95b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea718cdbe681628efe6fa588cdb03ece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923414bc484033641cdc7266e0499db3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff45ae344b7bf7bccb14a5600d550f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a0ffd97e63546f5181037e416a46aa.png)
![](https://img.xkw.com/dksih/QBM/2019/7/1/2237336549089280/2237737006391296/STEM/219bbb10071844e9bfa859e3606368e5.png?resizew=189)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-12-18更新
|
2221次组卷
|
6卷引用:河南省2018-2019学年高二下学期7月月考数学[(文)试题
名校
4 . 设
为数列
的前
项和,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4c5f2eabcfbcb67eeec6e4ca96fa58.png)
_ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](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/b1e856be82991b12503a77adc3c43eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3591a6fa3bbc87b646967ff838369d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4c5f2eabcfbcb67eeec6e4ca96fa58.png)
您最近一年使用:0次
2017-12-07更新
|
745次组卷
|
5卷引用:河南省长葛市第一高级中学2018届高三12月月考数学(文)试题
5 . 设
为数列
的前
项和,
,且
.记
为数列
的前
项和,若
,则
的最小值为( )
![](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/40c84d579555da280af822a7e689dcc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3591a6fa3bbc87b646967ff838369d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbdfdf19633ec8fba72b3059a8e818d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8429b07f5fb4af20179cc97c7cc3f9cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
2017-12-06更新
|
1006次组卷
|
6卷引用:河南省长葛市第一高级中学2017-2018学年高三12月月考数学(理)试题
河南省长葛市第一高级中学2017-2018学年高三12月月考数学(理)试题河北省武邑中学2018届高三上学期期中考试数学(理)试题山西省榆社中学2018届高三11月月考数学(理)试题福建省百所重点校2018届高三年上学期联合考试理科数学试题(已下线)2018年5月21日 押高考数学第12题(1)——《每日一题》2018年高三理科数学四轮复习 (已下线)2018年5月21日 押高考数学第12题(1)——《每日一题》2018年高三文科数学四轮复习
名校
6 . 已知有穷数列
中,
,且
,从数列
中依次取出
构成新数列
,容易发现数列
是以-3为首项,-3为公比的等比数列,记数列
的所有项的和为
,数列
的所有项的和为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f99347095bcd631b92d7480a500456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52cd3236c8d37b61a8fd0993a6b322b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faa64c7bb10a38951405f916ecdbac92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
您最近一年使用:0次
2017-11-21更新
|
1643次组卷
|
6卷引用:河南省南阳市2018届高三上学期期中质量评估数学(理)试题
河南省南阳市2018届高三上学期期中质量评估数学(理)试题河南省南阳市第一中学校2024届高三上学期第六次月考数学试题广东省化州市2018届高三上学期第二次高考模拟考试数学(理)试题(已下线)4.2求数列的通项公式与前n项的和[理]-《备战2020年高考精选考点专项突破题集》(已下线)4.2求数列的通项公式与前n项的和[文] -《备战2020年高考精选考点专项突破题集》四川省宜宾市叙州区第一中学校2019-2020学年高三下学期第二次月考数学(理)试题
名校
解题方法
7 . 数列
满足
,若
为等比数列,则首项
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4258c957eaafe698687ed3be5df15872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
您最近一年使用:0次
8 . 已知数列
满足
,
.
(1)求数列
的通项公式;
(2)设
,将
的底数与指数互换得到
,设数列
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac8419cf6c0e1d70ea5f5a9eb6dad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f265e860e896ceca3d1f5a1d539e646.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eec9475a981db57ceba996b706d554c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e260b088f071983f254ce8f5163fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7299bf102753ab659ba574e42487b9e.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/6fa6354a8154f876672418cd25545922.png)
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名校
9 . 已知数列
的前
项和为
,且满足
,
,
.
(1)求
的值;
(2)求数列
的通项公式.
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeab4efb7a6553fa20ffafed92c40d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
您最近一年使用:0次
2017-06-16更新
|
1080次组卷
|
2卷引用:河南省濮阳市2016-2017学年高二下学期升级(期末)考试A卷数学(文)试题
10 . 已知数列
的首项为
,且
,若
,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/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb8521745d78b5bf317d00be20824cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127efc1822dcd9eaf41ec40cb7a657ca.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/04c2864e2ec3416cc4c081ac1f71a0af.png)
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2017-05-21更新
|
1278次组卷
|
8卷引用:河南省驻马店市上蔡县衡水实验中学2022-2023学年高三上学期期中数学理科试题
河南省驻马店市上蔡县衡水实验中学2022-2023学年高三上学期期中数学理科试题河北省正定中学2016-2017学年高一下学期期末考试数学试题(已下线)2017-2018学年下学期期末复习备考之精准复习模拟题高一数学(C卷)必修三与必修五(第01期)(已下线)专题26 数列的通项公式 -2(已下线)第6讲 数列的通项公式的11种题型总结(3)(已下线)专题14 数列的通项公式(已知递推式)-1(已下线)拓展一:数列递推与通项公式归类(3)(已下线)专题08 求数列通项17种常见考法归类(3)