1 . 若首项为
的数列
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf31dbc5c9dd1ebee998ed10f7174d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0fbcd68a50131deed02d260bb3458a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:福建省福州市八县一中2019-2020学年高一下学期适应性考试数学试题
福建省福州市八县一中2019-2020学年高一下学期适应性考试数学试题湖北省武汉市江夏一中、汉阳一中2019-2020学年高三下学期4月联考理科数学试题2020届湖北省武汉市汉阳一中、江夏一中高三下学期4月联考数学(理)试题(已下线)类型三 数列综合应用-【题型突破】备战2022年高考数学二轮基础题型+重难题型突破(新高考专用)
名校
解题方法
2 . 数列
中,
,
,
为
的前
项和.
(1)若
,求
;
(2)若
,求数列
的前
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/106d71d47fffa137648f8cf30309e384.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)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e645710854fb657b0bd21029f41f50d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83de9a45d9b680da8835bac1fee9c9b.png)
![](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)
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2020-03-29更新
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4卷引用:福建省宁化一中2019—2020学年高一下学期第二次阶段考试数学试题
名校
3 . 已知公差不为0的等差数列{an}满足a3=9,a2是a1,a7的等比中项.
(1)求{an}的通项公式;
(2)设数列{bn}满足
,求{bn}的前n项和Sn.
(1)求{an}的通项公式;
(2)设数列{bn}满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78acfd3147baa3b112f7e267480693a.png)
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2020-04-08更新
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10卷引用:福建省厦门一中2019-2020学年高一3月线上月考数学试题
福建省厦门一中2019-2020学年高一3月线上月考数学试题吉林省实验中学2018-2019学年高一下学期期末考试数学(理)试题2020届闽粤赣高三下学期三省十二校联考数学理科试题陕西省西安市第一中学2020-2021学年高三上学期第五次模拟考试数学(文)试题江苏省扬州市第一中学2020-2021学年高二上学期教学质量调研评估(1)数学试题【市级联考】湖南省永州市2019届高三上学期第二次模拟考试数学(文)试题内蒙古自治区莫力达瓦达斡尔族自治旗尼尔基第一中学2021-2022学年高三上学期期末理科数学试题广东省广州市第九十七中学2022-2023学年高二上学期期末数学试题四川省达州市宣汉中学2022-2023学年高二下学期入学考试文科数学试题云南省红河哈尼族彝族自治州蒙自市第一高级中学2023-2024学年高二下学期5月期中数学试题
名校
4 . 已知数列
的满足
,且
,记
.
(1)求证:
为等差数列,并求
的通项公式
;
(2)设
,求
的值;
(3)是否存在正实数
,使得
对任意
都成立?若存在,求实数
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb32e7b6442f5f1c8d37aa77cd53a250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e82d9664c787c2f78a4fb13815526e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b708510358c18b3f231c7c75b050d72.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039271f3111b0e21bc1282fcc22cf016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039271f3111b0e21bc1282fcc22cf016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0be4dfcf43b0dd45b495bbdb2bd725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00136ab4fd69ba9c28b47cd38442dc3a.png)
(3)是否存在正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329a4600fd9a1740333a5104613900a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
5 . 数列
满足
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cda511c7d9682de06e96e968291116f.png)
.
(1)求证:数列
是等差数列;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cda511c7d9682de06e96e968291116f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fc82353331abee0828dee9b38c08f2.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b78e4a03d4595f14be42054b61dfc6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef41cb8190829f8cb23bc27baff9c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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|
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2卷引用:福建省龙海市第二中学2017-2018学年高一下学期第二次(6月)月考数学试题
名校
解题方法
6 . 若
的前n项和为
,点
均在函数y=
的图像上.
(1)求数列
的通项公式;
(2)设
,
是数列
的前n项和,求使得
对所有
都成立的最小正整数m.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184a6d327a0d8ee359e74c2c5e2f257e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36137931aba9d8250282ccd0e260776.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27b515f1a285ff1286ac597cce326b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463e670d40ac857529acb9ed92f43661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
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2018-08-25更新
|
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2卷引用:福建省泰宁第一中学2019-2020学年高一下学期第一次阶段考试数学试题
名校
7 . 若数列
是等比数列,
,公比
,已知
和
的等差中项为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f87e4e41b17dae8007e162944d1c89.png)
(1)求数列
的通项公式;
(2)该
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45482d31d1d7448c9f3922b4d2a55331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97af2c699d870c241e3ed7aa6de807f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a3e224fcb6a43243d053ec7764c518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c340837e6b92c486a479b05f58af4510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f87e4e41b17dae8007e162944d1c89.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)该
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4777e1087b5ebdeb7130cc065abc72eb.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/08eb71ecf8d733b6932f4680874dbbf3.png)
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2卷引用:【全国百强校】福建省莆田第九中学2017-2018学年高一下学期第二次月考数学试题
名校
8 . 已知正项等比数列
的前
项和为
,
,
,数列
满足
,且
.
(1)求数列
的通项公式;
(2)求数列
的前
项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.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/96b7b8f45c4af23b598b1bfee01db679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccdc17b603871d20843ffccca2df0ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f3730f2a6b007970db1bab8c04103e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fe0f4e8a80a2840c0f6929a8a6351b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b78e4a03d4595f14be42054b61dfc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2017-02-27更新
|
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10卷引用:福建省厦门市第六中学2018-2019学年高一下学期3月月考数学试题
福建省厦门市第六中学2018-2019学年高一下学期3月月考数学试题四川省广安代市中学校2020-2021学年高一下学期第三次月考数学(理)试题2017届高河北省衡水中学三下学期二调考试数学(文)试卷2017届河南省安阳市高三第一次模拟考试数学(文)试卷2017届河北省衡水中学高三下学期二调考试数学(文)试卷2020届四川省泸县第一中学高三三诊模拟考试数学(理)试题2020届四川省泸县第一中学高三三诊模拟考试数学(文)试题(已下线)专题08 数列——2020年高考真题和模拟题理科数学分项汇编(已下线)专题08 数列——2020年高考真题和模拟题文科数学分项汇编(已下线)河南省安阳市2017届高三第一次模拟考试数学(文)试题
9 . 数列
满足
,且对任意的
都有
,则
的前100项和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ea12b5bf919a962f08bed2140d896b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffdc73b5e0a58fd28bd754d1e5128314.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2016-12-04更新
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4卷引用:福建省泉州市永春一中2018-2019学年高一3月份月考数学试题
11-12高一下·福建·阶段练习
10 . 数列
中,
,点
在直线
上.
(Ⅰ)求证数列
是等差数列,并求出数列
的通项公式;
(Ⅱ)若
,求数列
的前
项和
.
![](https://img.xkw.com/dksih/QBM/2012/3/16/1570804640382976/1570804645904384/STEM/ba9944af8938425c980f254c8c66c286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://img.xkw.com/dksih/QBM/2012/3/16/1570804640382976/1570804645904384/STEM/fef905ef2f024b7f8e9f979051e517ac.png)
![](https://img.xkw.com/dksih/QBM/2012/3/16/1570804640382976/1570804645904384/STEM/763379dd0f984823beec35e4d9d2fdf2.png)
(Ⅰ)求证数列
![](https://img.xkw.com/dksih/QBM/2012/3/16/1570804640382976/1570804645904384/STEM/ba9944af8938425c980f254c8c66c286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2012/3/16/1570804640382976/1570804645904384/STEM/83fac68772b24e13967b615ab76a8481.png)
![](https://img.xkw.com/dksih/QBM/2012/3/16/1570804640382976/1570804645904384/STEM/ca4a1540a4504abda28087f8bb0471c6.png)
![](https://img.xkw.com/dksih/QBM/2012/3/16/1570804640382976/1570804645904384/STEM/035c6e7035b54b29b88b8f352452545c.png)
![](https://img.xkw.com/dksih/QBM/2012/3/16/1570804640382976/1570804645904384/STEM/a1454eaa2a894504b00d7f0a4a681008.png)
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