名校
解题方法
1 . 已知等差数列
满足
,
.
(1)求
的通项公式;
(2)各项均为正数的等比数列
中,
,
,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627411fce8e2b6ab40ac1166b45ada6b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)各项均为正数的等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e719f257ad8a8efb2a245ea9dc1b2685.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)
您最近一年使用:0次
2020-10-01更新
|
177次组卷
|
9卷引用:云南省普洱市景东彝族自治县第一中学2019-2020学年高二下学期期中考试数学(文科)试题
云南省普洱市景东彝族自治县第一中学2019-2020学年高二下学期期中考试数学(文科)试题2015-2016学年陕西省西安市七十中高二上学期期中考试理科数学试卷2015-2016学年陕西省西安市七十中高二上学期期中考试文科数学试卷(已下线)2015-2016学年陕西省西安市七十中高二上学期期中考试理科数学试卷陕西省渭南市尚德中学2017-2018学年高二上学期期中考试数学试卷福建省莆田一中2019-2020学年高一(下)期中数学试题广东省广州市从化区第三中学2021-2022学年高二下学期期中数学试题江西省上饶市2018-2019学年高一下学期期末文数试题江苏省连云港市灌南高级中学2020-2021学年高二上学期第一次月考数学试题
2 . 在数列
中,
,
(
,
是常数).
(1)当
,
时,求数列
的通项公式;
(2)当
,
时,设
,求证数列
是等比数列;
(3)在(2)的条件下,记
,
,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/c1f4702282b8a6fc12bd46d89aff3ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3012337aa392709349731fb1eef5b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60acf58bad78854a0db851c42f739543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128d43fbfe37d2334f8666239efc7e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)在(2)的条件下,记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215f14cdf94bb76da59e7192cf0f3944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd158b82679511af01fea146a5e2b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2905b0ba7e89d825a87f4fec1b5e38a.png)
您最近一年使用:0次
解题方法
3 . 在等比数列{an}中,a1=2,a4=16.
(1)求数列{an}的通项公式;
(2)若a3,a5分别为等差数列{bn}的第4项和第16项,试求数列{bn}的前n项和Sn.
(1)求数列{an}的通项公式;
(2)若a3,a5分别为等差数列{bn}的第4项和第16项,试求数列{bn}的前n项和Sn.
您最近一年使用:0次
12-13高一下·吉林白山·期末
名校
4 . 设
为等差数列,
是等差数列的前
项和,已知
,
.
(1)求数列的通项公式
;(2)
为数列
的前
项和,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/f6b19609d9c5c20064ba67e5c8404e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d54406efec60657dfbf8666d3ad56e.png)
(1)求数列的通项公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0336731988224293bc0e9a7958adfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2016-12-02更新
|
1676次组卷
|
3卷引用:云南省丽江市第一高级中学2021-2022学年高二上学期期中考试数学(理)试题
云南省丽江市第一高级中学2021-2022学年高二上学期期中考试数学(理)试题(已下线)2012-2013学年吉林省白山市第一中学高一下学期期末考试文科数学卷广东省揭阳市第三中学2019-2020学年高二上学期10月月考数学试题
5 . 函数
对任意x∈R都有
.
(1)求
的值.
(2)数列
满足:
,数列
是等差数列吗?如果是请给予证明,不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f285b2568fac2741c72c18d9dc718a3a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceb86a2bebabdcf5e8beebf3f98fed8.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8886d17e28e8da7d90d944d1d18032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
6 . 某已知等差数列
满足:
,前
项和
.
(1)求数列
的通项公式;
(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/d1928c254cfada1f75a5cd1e34db5a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6629be976637976a6fdb13cb4c48888.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b7adab471d41ac1b0451f07ab94aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
您最近一年使用:0次
2016-12-04更新
|
906次组卷
|
4卷引用:云南省玉龙纳西族自治县田家炳民族中学2019-2020学年高二下学期期中考试数学(理)试题
解题方法
7 . 已知数列
的前
项和为
,向量
,
,满足条件
,
且
.
(1)求数列
的通项公式;
(2)设函数
,数列
满足条件
,
,
①求数列
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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1aa9f582519057226e6c8e97467d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e08b0a0c0900460d21ac83c5e847f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6836870d047ff2faeea5d05721f4058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd9736828195f010db4e1f0a9dea7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78fbecca12ee62538020483fd55a2109.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679da8a975f3a340f456d205b9da9a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/452c4a4b0ec0d8e0a022d470884abe9e.png)
①求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b67af73f586837594ab0db4b89baed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2016-12-04更新
|
1340次组卷
|
5卷引用:云南省富民县第一中学2022-2023学年高二下学期期中考试数学试题
解题方法
8 . 在等差数列
中,若
,
,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde3113b24d3e16cc90612fb67865cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1e55cb07aa8350755e0e4f54ca0fe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eed39c7d611309b01476c15ab242308.png)
A.8 | B.32 | C.36 | D.72 |
您最近一年使用:0次
2020-08-30更新
|
116次组卷
|
3卷引用:云南省昆明市嵩明县2021-2022学年高二下学期期中考试数学试题
云南省昆明市嵩明县2021-2022学年高二下学期期中考试数学试题河南省顶尖名校联盟2019-2020学年高二下学期5月联考数学(理)试题(已下线)专题2.1等差数列及其求和(A卷基础篇)-2020-2021学年高二数学必修五同步单元AB卷(人教A版,浙江专用)
名校
9 . 设数列
是公比为2的等比数列,且
是
与
的等差中项.
(1)求数列
的通项公式;
(2)记数列
的前
项和为
,求使得
成立的
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3547886abee1a603e275c6e808fb5b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b78e4a03d4595f14be42054b61dfc6.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/d9e3e27f52d1e60778fcf2cc57772d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
10 . 在数列
中,
点
在直线
上.
(1)求数列
的通项公式
;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0178c56baa03b0b30fa7fc84fb14e9e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe9cfc44726aebef398b4ddcd9949a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09324568f2f3995b2f932e66ee5926ba.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdcee67a5662a14ae61218a2d1209b7c.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)
您最近一年使用:0次