名校
解题方法
1 . 已知数列
为等差数列,且
,
.
(1)求数列
的通项公式;
(2)求数列
的前
项和
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6278d3cc0086c7aab6ac20712c7d0bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0313eea2c65393728d83a287a8b799.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](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)
您最近一年使用:0次
2021-08-06更新
|
3046次组卷
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7卷引用:云南省泸水市怒江新城新时代中学2022-2023学年高二上学期期末考试数学试题
云南省泸水市怒江新城新时代中学2022-2023学年高二上学期期末考试数学试题西藏昌都市第一高级中学2021-2022学年高二上学期期中考试数学试题(已下线)第01周周练(4.1数列的概念4.2.1等差数列的概念4.2.2等差数列的前n项和公式)(基础卷)四川省乐山市2020-2021学年高一下学期期末数学试题四川省成都外国语学校2021-2022学年高一下学期6月月考数学(文)试题四川省成都外国语学校2021-2022学年高一下学期6月月考数学(理)试题(已下线)第02讲 等差数列及其前n项和 (高频考点—精讲)-2
2 . 已知
是公差不为零的等差数列,
是
和
的等比中项.
(1)求数列
的通项公式;
(2)令
,设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c7aeda228d8fb46f59a649f8e197f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e191086446263b7bbbd93613577c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d44ddab6e0c60119be69985ae7fa65b.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
2021-07-29更新
|
362次组卷
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3卷引用:云南省玉溪市2020-2021学年高二下学期期末数学(理)试题
云南省玉溪市2020-2021学年高二下学期期末数学(理)试题四川省广安市武胜烈面中学校2021-2022学年高二上学期数学(理)入学考试试题(已下线)河北省石家庄市河北省实验中学2024届高三上学期名校联考数学试题变式题15-18
3 . 已知
是公差为
的等差数列,其前
项和是
,且
.
(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/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.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/5f82433757669a721196c73c7f44edfd.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e27818dd74f2f79e171ade580a0d9e1.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
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|
5488次组卷
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18卷引用:云南省会泽县实验高级中学校2021-2022学年高二下学期开学考试数学试题
云南省会泽县实验高级中学校2021-2022学年高二下学期开学考试数学试题福建省泉州鲤城北大培文学校2021-2022学年高二上学期期中考试数学试题河南宋基信阳实验中学2021-2022学年高二下学期第二次月考数学(理)试题广东省佛山市顺德区罗定邦中学2021-2022学年高二下学期期中数学试题山东省实验中学2022-2023学年高二上学期12月月考数学试题广东省揭阳市揭东区2022-2023学年高二上学期期末数学试题广东省揭阳市揭西县2022-2023学年高二上学期期末数学试题安徽省合肥市第五中学2022-2023学年高二下学期学科教学评价数学试卷1.2等差数列检测题 A卷(基础巩固)黑龙江省哈尔滨市第三十二中学校2022-2023学年高二下学期期中考试数学试卷(普班)山东省临沂市郯城县第二中学2023-2024学年高二上学期期末复习模拟数学试题辽宁省丹东市凤城市第一中学2023-2024学年高二下学期第一次月考(4月)数学试题宁夏青铜峡市高级中学2020-2021学年高一下学期期中考试数学试题黑龙江省哈尔滨市第三十二中学校2021-2022学年高三上学期期中考试理科数学试题(已下线)第04讲 数列求和 (高频考点—精讲)-1宁夏青铜峡市宁朔中学2023届高三上学期期中考试数学(文)试题黑龙江省佳木斯市第八中学2023届高三上学期11月第二次调研数学试题吉林省松原市前郭五中2024届高三上学期第三次考试数学试题
解题方法
4 . 已知公差不为
的等差数列
的前
项和
,且
,
,
成等比数列.
(I)求数列
的通项公式;
(II)设
为数列
的前
项和,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5170584604571b5e1afd5ece941e2e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(I)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(II)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2e1bb8879fee8024c9b12ac24350fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00136ab4fd69ba9c28b47cd38442dc3a.png)
您最近一年使用:0次
2021-07-12更新
|
372次组卷
|
4卷引用:云南省曲靖市会泽县茚旺高级中学2020-2021学年高二春季6月月考数学(理)试题
名校
解题方法
5 . 已知
是等比数列,
是等差数列,且
,
,
,
.
(1)求数列
和
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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4995fa0403e013d888c0935ebfe15024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcbc75e8c78cca18f0b2b2456b3c829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb0ae5b6a3fcd68c890201240a5ccd4.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272563b03d4e5a61b2adc85edc5cbdf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.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
2021-09-12更新
|
738次组卷
|
3卷引用:云南省楚雄天人中学2019-2020学年高二4月学习效果监测数学(理)试题
解题方法
6 . 已知数列
是等差数列,其前
项和为
,且
,
.数列
为等比数列,满足
,
.
(1)求数列
、
的通项公式;
(2)若数列
满足
,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/b1dfe5b322577f02fd19caab8cf20170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b170560f44bdef56b9248ffa10b1c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c968ef8f37cbc55d57380015e0229f77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd4e1d8d8a674b33bc520e809702cbda.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca857b7a6a1fe09827ecaa5f4c036069.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
2021-05-08更新
|
410次组卷
|
8卷引用:云南省楚雄天人中学2020-2021学年高二3月月考数学(文)试题
云南省楚雄天人中学2020-2021学年高二3月月考数学(文)试题安徽省淮南市2020-2021学年高三一模数学(文)试题(已下线)专题24 数列(解答题)-2021年高考数学(理)二轮复习热点题型精选精练(已下线)专题22 数列(解答题)-2021年高考数学(文)二轮复习热点题型精选精练(已下线)专题23 数列(解答题)-2021年高考数学二轮复习热点题型精选精练(新高考地区专用)安徽省淮南市2021届高三下学期一模理科数学试题(已下线)安徽省合肥市2021届高三下学期第二次教学质量检测理科数学试题安徽省淮南市2021届高三下学期一模文科数学试题
7 . (1)已知等差数列
的前
项为
,
,
,求
及
;
(2)已知等比数列
满足
,
,前
项和
,求
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/9651204c54475c2e8cda8d0a6eeba177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebfd6e425411179e2a5a06d84978356e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)已知等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d481820a52024d23b2f7c18f6b7782a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c81e239648dd43c7160f90f40e4d329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c3661fabe3f0504302ac0b8c6dd0f5b.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
8 . 已知
是公差不为零的等差数列,
,且
,
,
成等比数列.
(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/a8a0eecb5b800fce9ae10aed86ffee62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be9c9b05fd84ac9256d49a5a553af5.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9253eb4b892b8ae34fd6baf4b02460d5.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
2021-09-05更新
|
679次组卷
|
7卷引用:云南省丽江市2021-2022学年高二上学期期末质量监测数学(理)试题
名校
解题方法
9 . 已知等差数列
的前
项和为
,
,且
.
(1)求数列
的通项公式;
(2)设数列
的前
项和为
,证明:
.
![](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/4db8c5bcda961978ed480759ed578e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f445779cba5a480c6070a0fc16d6739.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8050391385b496e9c059201e4f12600a.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/c215db1d8f69757118ad405b78035628.png)
您最近一年使用:0次
2021-04-10更新
|
2691次组卷
|
9卷引用:云南省曲靖市第二中学2021-2022学年高二下学期期末考试数学试题
云南省曲靖市第二中学2021-2022学年高二下学期期末考试数学试题云南省昆明市2021届“三诊一模”高三复习教学质量检测数学(理)试题重庆市第八中学2021-2022学年高二上学期期末数学试题湖北省新高考协作体2021-2022学年高二下学期期末模拟考数学试题辽宁省五校(24中、8中、东北育才、省实验、鞍山一中)联考2021-2022学年高二下学期期末数学试题重庆市第七中学校2022-2023学年高二上学期期末模拟数学试题(一)(已下线)押第17题 数列-备战2021年高考数学(文)临考题号押题(全国卷1)(已下线)二轮拔高卷04-【赢在高考·黄金20卷】备战2022年高考数学模拟卷(新高考专用)河北省秦皇岛市青龙满族自治县实验中学2023届高三上学期开学考试数学试题
10 . 已知
是公差不为零的等差数列,
,且
成等比数列.
(1)求数列
的通项公式;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
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9卷引用:云南省曲靖市关工委麒麟希望学校2020-2021学年高二上学期期中质量检测数学试题
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