解题方法
1 . 在公差为
的等差数列
中,已知
,
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b71ef6cb9c5d494692d40a9ef279f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0044fb4a771b72501bb4e084ccebca27.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bcadf972b0737c2d3dd8b5655960507.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2714ec5909d70a7e9a71caa3cc0c11be.png)
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名校
2 . 已知
为等差数列,若
,
,则
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da6e97248df8f138ebe684c40c950c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-11-12更新
|
240次组卷
|
4卷引用:云南省下关第一中学2020-2021学年高二上学期段考(二)数学(文)试题
3 . 若数列
是等差数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________ ,数列
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fdab475bd7621455a812218353f0d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07970da4aa6afeb451a124e93f3de607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f98d49a9c29141100627594f1b8a22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
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2011·四川成都·一模
4 . 在下表中,每行上的数从左到右都成等比数列,并且所有公比都等于
,每列上的数从上到下都成等差数列,正数
表示位于第
行第
列的数,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879d15c95661e09da7762b7f69bfd674.png)
(Ⅰ)求
的值;
(Ⅱ)求
的计算公式;
(Ⅲ)设数列
满足
的前
项和为
,试比较
与
的大小,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a14c188b1c9d61aa237b137ba18023.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/879d15c95661e09da7762b7f69bfd674.png)
![]() | ![]() | ![]() | ![]() | … | ![]() | … |
![]() | ![]() | ![]() | ![]() | … | ![]() | … |
![]() | ![]() | ![]() | ![]() | … | ![]() | … |
![]() | ![]() | ![]() | ![]() | … | ![]() | … |
… | … | … | … | … | … | … |
![]() | ![]() | ![]() | ![]() | … | ![]() | … |
… | … | … | … | … | … | … |
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a14c188b1c9d61aa237b137ba18023.png)
(Ⅲ)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414c1b817975ae0f08091372f7c4f48e.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3910d14ff5aa861ae5b5b7a37f4b58ea.png)
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2014高三·全国·专题练习
解题方法
5 . 已知公差不为0的等差数列
的前
项和为
,
且
成等比数列.
(1)求数列
的通项公式;
(2)设
,数列
的最小项是第几项,并求出该项的值.
![](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/68056fe9240de51e0e91b00c348f817b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0dda391f51b090fb65d2a0fe359f5f0.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a544f4d411a93bb55fd9e378b2d65082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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2016-12-02更新
|
743次组卷
|
4卷引用:2015届云南省弥勒市高三年级模拟测试一理科数学试卷
2015届云南省弥勒市高三年级模拟测试一理科数学试卷(已下线)2014届高考数学总复习考点引领+技巧点拨第五章第2课时练习卷2014-2015学年浙江省台州中学高二下学期第一次统练文科数学试卷2015-2016学年甘肃省嘉峪关市一中高二上学期期中考试理科数学试卷
13-14高一下·广东佛山·期中
名校
6 . 已知等差数列
的通项公式
,则
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://img.xkw.com/dksih/QBM/2012/11/23/1571067335925760/1571067340955648/STEM/55d9ffe0ecfe4d71a7021444159e851a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccb15407a714486b937cffd69b4f9bb.png)
A.1 | B.2 | C.0 | D.9 |
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2012·海南·一模
解题方法
7 . 已知公差不为零的等差数列
的前4项和为10,且
成等比数列.
(Ⅰ)求通项公式
;
(Ⅱ)设
,求数列
的前
项和
.
![](https://img.xkw.com/dksih/QBM/2012/8/31/1570995662454784/1570995667935232/STEM/600d95b7353741cba5ae988a40e4641f.png)
![](https://img.xkw.com/dksih/QBM/2012/8/31/1570995662454784/1570995667935232/STEM/480de55da7fb43da8fc216a75af89847.png)
(Ⅰ)求通项公式
![](https://img.xkw.com/dksih/QBM/2012/8/31/1570995662454784/1570995667935232/STEM/794b9945081147deb53866e0c0690358.png)
(Ⅱ)设
![](https://img.xkw.com/dksih/QBM/2012/8/31/1570995662454784/1570995667935232/STEM/a3e52a47bb284803be26369d232209ad.png)
![](https://img.xkw.com/dksih/QBM/2012/8/31/1570995662454784/1570995667935232/STEM/a209e10df82a4d2691d95f13b825fb0c.png)
![](https://img.xkw.com/dksih/QBM/2012/8/31/1570995662454784/1570995667935232/STEM/fb235bb129994a3b8308f6375c5ea767.png)
![](https://img.xkw.com/dksih/QBM/2012/8/31/1570995662454784/1570995667935232/STEM/744c09b6e86740e5bc0710c0bec2ce8e.png)
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13-14高三上·江西·阶段练习
8 . 已知等差数列
的公差和首项都不等于0,且
,
,
成等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9af8fbf2851478dc39a08841f0b633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9af8fbf2851478dc39a08841f0b633.png)
A.2 | B.3 | C.5 | D.7 |
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11-12高二上·云南昆明·期末
名校
9 . 等差数列
中,已知
,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498bf8b3f75194b2c3c7bc2e55211ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2016-11-30更新
|
832次组卷
|
6卷引用:2011年云南省晋宁二中高二上学期期末数学试卷
(已下线)2011年云南省晋宁二中高二上学期期末数学试卷(已下线)2010-2011年云南省芒市中学高一下学期期中考试数学河北省承德市第八中学2017-2018学年高二10月月考数学试题陕西省西乡一中2017-2018学年高二第一学期第九周联系文科数学试题黑龙江省牡丹江市第一高级中学2017-2018学年高一4月月考数学试题(已下线)4.2.1等差数列的概念(第2课时)(分层作业)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第二册)
10 . 已知数列
满足:
,
,
.
(1)证明:数列
为等差数列,并求出数列
的通项公式;
(2)记
,求数列
的前n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/3afe09c61a939e087f5da0c15f710cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4cecbdebeb5d12fbe1d54b81cc05a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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