解题方法
1 . 已知数列
的前
项和
满足条件
.
(1)求证:数列
成等比数列;
(2)求通项公式
.
![](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/059c130fc5d498b1353e12d69f6dc94d.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)求通项公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
您最近一年使用:0次
解题方法
2 . 已知
是等差数列,其前
项和为
,
是正项等比数列,且
,
,
,
.
(1)求数列
与
的通项公式;
(2)若
,记
,
,求
.
![](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/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971f42e804662794c946daa092ea061b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9813a9a34a595f123a205e73d0490d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb1c730e6a2e1554d89e7926dcf265d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a980aab35febe12c7cf029ea4bfdc6.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f436996acda49f1f4045cc0f233c6864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6137c0f0ea995734894f07fa08db320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2020-12-30更新
|
408次组卷
|
3卷引用:重庆市缙云教育联盟2020-2021学年高一上学期期末数学试题
名校
3 . 已知数列
是等比数列,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25673902449184f5727cbc786aa82a0.png)
A.若![]() ![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
4 . 在各项均为正数的等比数列
中,公比
,若
,
,数列
的前n项和为Sn,则
取最大值时,n的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae99e050d0f1cfc0447304f06424d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c315aac51d58443cd89767e4eefc09f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55493a358d77b09ba82e88c8ba3a25cb.png)
A.8 | B.8或9 | C.9 | D.17 |
您最近一年使用:0次
2021-10-06更新
|
2220次组卷
|
29卷引用:重庆市四区2018-2019学年高一下学期高中联合期末评估 数学试题
重庆市四区2018-2019学年高一下学期高中联合期末评估 数学试题重庆市部分区2019-2020学年高一下学期期末联考数学试题【全国百强校】江西师范大学附属中学2018-2019学年高一下期期中考试数学试题四川省射洪县2018-2019学年高一第二学期期末英才班能力素质监测数学文试题(已下线)江西省南昌市南昌十中2019-2020学年高一下学期第一次月考数学试题四川省自贡市田家炳中学2019-2020学年高一下学期期中考试数学试题四川省宜宾市叙州区第一中学校2019-2020学年高一下学期第四学月考试数学(理)试题四川省成都市射洪县2018-2019学年高一(英才班)下学期期末能力素质监测数学(文)试题甘肃省肃南县第一中学2017-2018学年高二上学期期中考试数学(理)试题广东省惠州市崇雅实验学校2017-2018学年高二单元训练(数列)数学试题人教A版(2019) 选择性必修第二册 过关斩将 第四章 数列 专题强化练2 等比数列的综合运用(已下线)理科数学-学科网2020年高三11月大联考考后强化卷(新课标Ⅰ卷)(已下线)文科数学-学科网2020年高三11月大联考考后强化卷(新课标Ⅲ卷)(已下线)理科数学-学科网2020年高三11月大联考考后强化卷(新课标Ⅲ卷)(已下线)第22练 等比数列-2021年高考数学(文)一轮复习小题必刷(已下线)第23练 等比数列-2021年高考数学(理)一轮复习小题必刷(已下线)文科数学-学科网2020年高三11月大联考考后强化卷(新课标Ⅰ卷)(已下线)第四章 数列-2020-2021学年高二数学同步课堂帮帮帮(人教A版2019选择性必修第二册)(已下线)理科数学-2021年高考考前20天终极冲刺攻略(二)(课标全国卷)(已下线)专题11 数列的综合应用-2022年高考数学一轮复习小题多维练(新高考版)江西省抚州市临川第一中学2021-2022高二12月月考数学(文)试题(已下线)专题09 数列(选择题、填空题)-备战2022年高考数学(文)母题题源解密(全国甲卷)(已下线)专题15 盘点与数列有关的最值问题——备战2022年高考数学二轮复习常考点专题突破河南省周口市扶沟县第二高级中学2021-2022学年高二上学期第一次摸底考试数学试题(已下线)第02周周练(4.3.1等比数列的概念4.3.2等比数列的前n项和公式4.4数学归纳法)(提高卷)河南省周口市扶沟县第二高级中学2021-2022学年高二第一次摸底数学试题(已下线)第4章 数列(单元提升卷)-2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)(已下线)4.1 等差数列(精练)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)(已下线)8.4 数列专项训练
名校
解题方法
5 . 已知等比数列
的前n项和为
,若
,
,
成等差数列,且
,
.
(1)求等比数列
的通项公式
(2)若
,
,求
前2020项和
;
(3)若
,
,
,
是
与
的等比中项且
,对任意
,
,求ρ取值范围.
![](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/5c85bd8a6ac6110719b0cb7f1a78b3a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f36fc7019d3c5d9d279de0e4ba7bd88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ce3fc9b22fded9d1c3d5ce4b7bef00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580e333c92a650aa5b232be5e562054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25718ce2207f6a8c03000daa7da95b7.png)
(1)求等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26257b334f400051da63369701a75a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc0f7e29b739ed41e6510572c13bcc4.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dfe074790dc45100c5a6cdc916e8f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377517573f29007f1b03b240fe7a7717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50a3544262b2cc5c94be241c84055f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3256ba045010d9bba6659027aea456fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb9b392b1c516e66242727dd9c055f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c5f562599e0b9c4c57acc1dcf2e201c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd64300c0f6bb13f6849c4e04dfe066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1f6d886a6bd5a06e3d40fbeb817c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0bf42674c6687125e14d7130a50f71.png)
您最近一年使用:0次
名校
解题方法
6 . 已知等比数列
的各项都为正数,
为其前
项和,
,
.
(1)求数列
的通项公式;
(2)记
,求使得
成立的正整数
的最小值.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a316124e688e76d6f330ffbea49d427d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964df3e9308711d7e14fb624b0c25e2f.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c0c2b921aa3c142449e07979d7f0e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6080f98693dec650327794f2cd3dfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
7 . 已知
是各项均为正数的等比数列,
,
.
(1)求
的通项公式;
(2)设
,求数列
的前
项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8f28c13fd51bf084c38222a8923b9b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2020-08-05更新
|
134次组卷
|
2卷引用:重庆市主城区七校2019-2020学年高一下学期期末数学试题
8 . 已知数列
满足
,
.
(1)求证:数列
为等比数列;
(2)若数列
满足
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6065aaa8f3f103d1bc960da8318ce35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6268ca622b6cc5d012280e02f28c2925.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2077786e99d3d442044fb1670f6231bd.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/593267dd32328d59e6177a909f825696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ba132bc46b2883dce3bf02ebac92c2.png)
您最近一年使用:0次
2020-08-03更新
|
553次组卷
|
3卷引用:重庆市第一中学2019-2020学年高一下学期5月月考数学试题
名校
解题方法
9 . 已知数列
的前
项和为
,且满足
.
(1)求
的通项公式
;
(2)设
,则是否存在实数
使得数列
为递增数列?若存在,求出
的取值范围;若不存在,请说明理由.
![](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/a059be72ff8f5ef87713fe38805b590d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc6bf03b6f86098ffef6caada8d694d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
10 . 已知单调递减的等比数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf90b6f46cc31b2bf754c3beabeee20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次