名校
1 . 已知数列
满足
(
,且
),且
,设
,
,数列
满足
.
(1)求证:数列
是等比数列并求出数列
的通项公式;
(2)求数列
的前n项和
;
(3)对于任意
,
,
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ec795c016151d50ced08795e8f2186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc97237d3006f403edcd153ed34569fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa5ff2506a5d01502f07c80f024fc8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/400f2d28274786ddcef7d91466a77005.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187ee1ea3b7e47a6283314322e5decf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd692d57128f3344f19e472f094d7566.png)
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2019-07-16更新
|
894次组卷
|
3卷引用:江西省新余市第一中学2019-2020学年高二上学期第一次段考数学试题
名校
2 . 设
,数列{bn}满足:bn+1=2bn+2,且an+1﹣an=bn;
(1)求证:数列{bn+2}是等比数列;
(2)求数列{an}的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dd75082d135b29287b416e4c083800.png)
(1)求证:数列{bn+2}是等比数列;
(2)求数列{an}的通项公式.
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2019-06-23更新
|
1975次组卷
|
14卷引用:江西省宜春三中2017-2018学年高二上学期第一次月考数学试题
江西省宜春三中2017-2018学年高二上学期第一次月考数学试题云南省玉溪市一中2018-2019学年高二上学期第一次月考数学(理)试题云南省玉溪市一中2018-2019学年高二上学期第一次月考数学(文)试题广西柳州高级中学、南宁市第二中学2018届高三上学期第二次联考数学(文)试题1广西柳州高级中学、南宁市第二中学2018届高三上学期第二次联考数学(文)试题2广西柳州高级中学、南宁市第二中学2018届高三上学期第二次联考数学(理)试题1广西柳州高级中学、南宁市第二中学2018届高三上学期第二次联考数学(理)试题2湖南省长沙市开福区长沙市第一中学2018-2019学年高一下学期期中数学试题广西钦州市第一中学2019-2020学年高一下学期期中考试数学试题(已下线)专题17 数列综合-2020年高考数学(理)母题题源解密(全国Ⅲ专版)(已下线)专题17 数列综合-2020年高考数学(文)母题题源解密(全国Ⅲ专版)(已下线)考点21 数列的概念与简单表示法-备战2021年高考数学(理)一轮复习考点一遍过(已下线)考点20 数列的概念与简单表示法-备战2021年高考数学(文)一轮复习考点一遍过(已下线)专题12 盘点等差(比)数列的判断与证明——备战2022年高考数学二轮复习常考点专题突破
名校
3 . 已知数列
满足
,
,
.
(1)求证数列
是等比数列,并求数列
的通项公式;
(2)设
,数列
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/3998df04d0a8ded946c3f39d545fdc7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)求证数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/007d04d27d742931360a9e7e029a1b08.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f90c342e24dd2af11c6ab820df7a549.png)
您最近一年使用:0次
2019-05-24更新
|
1124次组卷
|
4卷引用:江西省赣州市赣县区第三中学2020-2021学年高二(实验重点班)九月月考数学(理)试题
名校
4 . 已知数列
中,
,
(
).
(1)求证:
是等比数列,并求
的通项公式
;
(2)数列
满足
,求数列
的前
项和为
.
![](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/5b3e4e99f1bb2e11e3a240d2d74469f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5566978b9adb511ec5c0cf4313313bfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f562ec93614852b395a602129602d9e.png)
![](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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2017-12-09更新
|
1364次组卷
|
4卷引用:江西省新余市2021-2022学年高二上学期期末数学(文)试题
名校
5 . 已知数列
的前
项和为
且
,
.
(1)求证
为等比数列,并求出数列
的通项公式;
(2)设数列
的前
项和为
,是否存在正整数
,对任意
,不等式
恒成立?若存在,求出
的最小值,若不存在,请说明理由.
![](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/8d7a9511c3d1b6d41d17df1559919880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e8adbe4d237aa33ca4d24901df8cfcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b93708dc68d1509f7030bdf7918bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad83668ff336589f82a2cd04db9f9947.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/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04c7ba0ffd54e60b2829f4440c91ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae1d8b82b6b00c861167fa7c3a796c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2017-10-09更新
|
2403次组卷
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4卷引用:江西省抚州市临川区第一中学2017-2018学年高二上学期第一次月考数学(文)试题
6 . 若数列
的前
项和
满足
.
(1)求证:数列
是等比数列;
(2)记
,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/88d60948fb65e86c170ede4c1cd9fc4f.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c895d4ce5ce82ef9b311b9369b4de11.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21bb3ba5e8dd6655406a760c2988c45a.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
11-12高三·天津·阶段练习
7 . 已知数列
的相邻两项
是关于
的方程
的两根,且
.
(1)求证:数列
是等比数列;
(2)求数列
的前
项和
;
(3)设函数
,若
对任意的
都成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d514eb8dff80d4dc3f39de516b63b846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cbeaa59cf76391392a5772c55aa7919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d6dd6774d18f0e37d02add8c39ea6a.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1f1146b05a9806adaa5a1ffdb3d51c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c647ce39c059b9dec7fc67125431495f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2016-12-01更新
|
1061次组卷
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7卷引用:2013-2014学年江西新余市高二上学期期末理科A数学试卷
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