名校
解题方法
1 . 已知
为等差数列,前n项和为
,
是首项为2的等比数列,公比大于0,且
,
,
.
(1)求
和
的通项公式;
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760f42da9081430c4c6b0e48c8bc6274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3408df52e3c9d4b12392a1463bc6ad96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a597f2838a2e6975de78103256c5bc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e66d67b5c93a1f8de640c6935505145.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2875f72cd781842d4b0cb0ac2b526aa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a9d3586dcc7fd8bd5e90906b140813.png)
您最近一年使用:0次
2023-03-31更新
|
671次组卷
|
7卷引用:天津市宁河区芦台第一中学2019-2020学年高二上学期第一次月考数学试题
名校
解题方法
2 . 设等差数列
的前
项和为
,若
,
,则
( )
![](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/a0748c346ed88f98e424de8edf278325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7af9d6941ab0cc5d87c8f20a19385034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa37e5661af68b263a3ed9030d4e9003.png)
A.20 | B.23 | C.24 | D.28 |
您最近一年使用:0次
2022-04-13更新
|
1342次组卷
|
19卷引用: 天津市滨海新区塘沽第一中学2023-2024学年高二上学期第二次月考数学试卷
天津市滨海新区塘沽第一中学2023-2024学年高二上学期第二次月考数学试卷【全国百强校】四川省成都外国语2018-2019学年高二5月月考文科数学试题四川省成都外国语2018-2019学年高二5月月考理科数学试题黑龙江省大庆实验中学2019-2020学年高二上学期开学考试数学(理)试题宁夏回族自治区银川市第九中学2021届高三年级第二次月考文科数学试题黑龙江省漠河市高级中学2020-2021学年高三上学期第一次摸底考试理科数学试题辽宁省锦州市第二高级中学2020-2021学年高二下学期期中考试数学试题吉林省长春市实验中学2021-2022学年高二上学期期中数学试题(已下线)第4章 等差数列(B卷·提升能力)-2021-2022学年高二数学同步单元AB卷(苏教版2019选择性必修第一册)【学科网名师堂】陕西省西安工业大学附属中学2022届高三下学期第七次适应性训练文科数学试题天津市河北区2023-2024学年高三上学期期中数学试题湖南省长沙市长郡中学2024届高三寒假作业检测(月考六)数学试题【市级联考】陕西省咸阳市2019届高三模拟检测(一)数学(理)试题【市级联考】陕西省咸阳市2019届高三模拟检测(一)数学(文)试题2019届四川省三台县芦溪中学高三决胜高考压轴卷数学(文)试题(已下线)专题8 等差等比的概念和性质-2021年高考冲刺之二轮专题精讲精析黑龙江省哈尔滨市第六中学2020-2021学年高三上学期期末考试理科数学试题(已下线)4.1 等差数列(精讲)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)湖南省长沙市德成学校2024届高三下学期入学考试数学试题
名校
解题方法
3 . 北京天坛圜丘坛的地面由石板铺成,最中间的是圆形的天心石,围绕天心石的是9圈扇环形的石板,从内到外各圈的石板数依次为
,设数列
为等差数列,它的前
项和为
,且
,
,则
( )
![](https://img.xkw.com/dksih/QBM/2022/1/13/2893775135039488/2896413231554560/STEM/ac649898-e62a-41c0-842a-042834838567.png?resizew=472)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4832bb09c71bcb19b44a5394f30f2b98.png)
![](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/039e449a6d9e76e0497bf2672740f801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b9eba619fd20aa0f1b94f439e8c6fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9ad4e59d7081cf19021423a984bc29.png)
![](https://img.xkw.com/dksih/QBM/2022/1/13/2893775135039488/2896413231554560/STEM/ac649898-e62a-41c0-842a-042834838567.png?resizew=472)
A.189 | B.252 | C.324 | D.405 |
您最近一年使用:0次
2022-01-17更新
|
1414次组卷
|
14卷引用:天津市北辰区南仓中学2023-2024学年高二上学期第二次月考数学试题
天津市北辰区南仓中学2023-2024学年高二上学期第二次月考数学试题全国一卷老高考地区部分学校2021-2022学年高三上学期1月联考理科数学试题四川省凉山州宁南中学2021-2022学年高一下学期第二次月考数学(文)试题吉林省白城市通榆县第一中学校2022-2023学年高二上学期期末数学试题甘肃青海大联考2021-2022学年高三上学期文科数学试题吉林省白山市2021-2022学年高三上学期期末考试数学(文)试题陕西省2022届高三上学期元月联考理科数学试题新疆昌吉州2022届高三上学期第二次高考质量检测数学(文)试题新疆昌吉州2022届高三上学期第二次高考质量检测数学(理)试题甘肃省白银市靖远县2021-2022学年高三上学期期末考试数学(理)试题甘肃省白银市靖远县2021-2022学年高三上学期期末考试数学(文)试题广西桂林市、梧州市2022届高三高考联合调研(一模)数学(理)试题广西桂林市、梧州市2022届高三高考联合调研(一模)数学(文)试题(已下线)考向19等差数列及其前n项和(重点)-2
名校
4 . 已知等差数列
满足
,
,则公差![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
______ .
![](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/36ba808c24aeae6a2f34b98ae5ec04ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
您最近一年使用:0次
2023-08-14更新
|
618次组卷
|
2卷引用:天津市朱唐庄中学2022-2023学年高二下学期3月阶段性检测数学试题
名校
解题方法
5 . 若等差数列的前
项和为
,数列
是等比数列,并且
,
,
,
,
.
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59693a58b316b5b3ef284b4c644a3eba.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/6ddad3d9fdb5e9951b6a1c31f9a72a71.png)
您最近一年使用:0次
6 . 已知等差数列
与正项等比数列
满足
,且
,
,
既是等差数列,又是等比数列.
(1)求数列
和
的通项公式;
(2)①令
,求数列
的前
项和
;
②若对任意的
,不等式
恒成立,求实数
的取值范围.
![](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/85444874c705666de9488286d3d61dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161a7b35d1812e6745ae7f7c540cf87a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c969826f605d65fcf0f7ecf2ff49d4c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)①令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9221c0c92a526f65533cdc5400767af.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/08eb71ecf8d733b6932f4680874dbbf3.png)
②若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0bef1ed5bfa0e29a7d03f773da37b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
7 . 已知等差数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(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/8439fe8fcaea5550194f3245255121a2.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ebf05ca12f9da810b2b10e066ececf.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
名校
8 . 已知数列的前
项和为
,
,且
,
,则当
取得最大值时,
( )
A.7 | B.8 | C.9 | D.10 |
您最近一年使用:0次
9 . 设
是等比数列,公比大于
,其前
项和为
,
是等差数列,已知
,
,
,
.
(1)求
和
的通项公式;
(2)设数列
的前
项和为
.
(i)求
;
(ii)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300ccaf1f16ac5aa897af2bff05e721b.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/9990d2b1f1099520a70eb90bc2446510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78051a32ad7947e021dc91faee48549d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b9101909b4c87f73e3e8b3bcd5aca9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23110cdbb1310b057531f8a4af6a30c.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd950032ae933c7f7ab0525948f11bd.png)
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2020高三·全国·专题练习
名校
10 . 中国古代数学著作《九章算术》中有这样一个问题:“某贾人擅营,月入益功疾(注:从第2月开始,每月比前一月多入相同量的铜钱),3月入25贯,全年(按12个月计)共入510贯”,则该人12月营收贯数为___________
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