名校
解题方法
1 . 已知数列
的前n项和为
,且
,数列
为等差数列,
,
.
(1)求
,
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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8370a173854471a3eb27637993a3d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e213a36920f7e92e3e9cc751c0ba4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/712ce35455aabc092348080b7f6777f9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a6c852d593cb9f6bdfd9eeddb50fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2023-11-20更新
|
1896次组卷
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6卷引用:辽宁省部分学校2023-2024学年高三上学期11月期中考试数学试题
辽宁省部分学校2023-2024学年高三上学期11月期中考试数学试题辽宁省抚顺市六校协作体2024届高三上学期期中数学试题湖北省部分高中联考协作体2023-2024学年高三上学期期中考试数学试卷福建省部分校2024届高三上学期期中考试数学试题四川省南充市阆中中学校2024届高三一模数学(文)试题(已下线)期末考试押题卷二(考试范围:苏教版2019选择性必修第一册)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第一册)
2 . 已知数列
是公差为1的等差数列,且
,数列
是等比数列,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ee3f2299a4a39f663c757d585a54f7.png)
(1)求
和
的通项公式;
(2)记
,其中
,求数列
的前
项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd2edf101d891d5471a0848ebbcf65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ee3f2299a4a39f663c757d585a54f7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3142d83103af9d24019b737f67e321d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7399fcd570d1de4057f2059759d18cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0d7150fb24be3e28ef7f0e18be93.png)
您最近一年使用:0次
3 . 已知数列
是公差不为零的等差数列,
,且
.
(1)求数列
的通项公式;
(2)若数列
的前n项和为
.
![](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/5731f65834e58bb01c8d21a695e395ce.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba57c83d526ac308d1461e80fcca9f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2023-10-25更新
|
1800次组卷
|
5卷引用:辽宁省大连市大连开发区十中2024届高三上学期期中数学试题
名校
解题方法
4 . 已知等差数列
的前n项和为
,公差
.若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ce63c6e8f836093978981aa401649d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-08-18更新
|
1178次组卷
|
7卷引用:辽宁省丹东市2022-2023学年高三上学期总复习第一次阶段测试数学试题
解题方法
5 . 记等差数列
的前
项和为
,已知
,
.
(1)求
的通项公式;
(2)求
以及
的最小值.
![](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/8dc759e6f45cff8dacef4206490e98a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd90036e13fd6ced4f150080e124828.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2023-07-31更新
|
411次组卷
|
3卷引用:辽宁省辽西联合校2024届高三上学期期中数学试题
名校
解题方法
6 . 已知数列
是等差数列,其前
和为
,
,数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acab33120ce1068326b8db7fe82a6718.png)
(1)求数列
,
的通项公式;
(2)若对数列
,
, 在
与
之间插入
个2(
),组成一个新数列
,求数列
的前2023项的和
.
![](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/4e95d549211e38633d8adde1ca1f831b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acab33120ce1068326b8db7fe82a6718.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若对数列
![](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/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217b927efe12a98e1082ecd7f035b921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233427826eb2233641fc3a9805f6d206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bccfebfa207e3b95eb658c00f489c4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5087b65850c79e65452645719f176b.png)
您最近一年使用:0次
2023-03-10更新
|
2753次组卷
|
3卷引用:辽宁省重点高中沈阳市郊联体2024届高三上学期期中数学试题
名校
解题方法
7 . 已知等差数列
的前n项和为
.
(1)求数列
的通项公式;
(2)设
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5ff3d67fe04d5617e3825293b9b81.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2023-02-15更新
|
1082次组卷
|
7卷引用:辽宁省大连市金州高级中学2023-2024学年高三上学期期中考试数学试题
8 . 等差数列
的首项
,公差
,数列
中,
,
,
,已知数列
为等比数列.
(1)求
的通项公式;
(2)记
为
的前
项和,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b71ef6cb9c5d494692d40a9ef279f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](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/3a79c23429da6d3e02f63a83541529a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922a5b18c373a772d3336a7989364a0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e8e3d93a73678ab186ea7951c39b841.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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/9718c967bffe0a4e7d387aea1dcf599c.png)
您最近一年使用:0次
2022-10-29更新
|
856次组卷
|
2卷引用:辽宁省丹东市2022-2023学年高三上学期总复习第一次阶段测试数学试题
名校
解题方法
9 . 设数列
的前
项和为
,且满足
,
是公差不为
的等差数列,
,
是
与
的等比中项.
(1)求数列
和
的通项公式;
(2)对任意的正整数
,设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d55e820be87da4fc494cee7ffbd7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195431ccf2756a0db26f14b7b91a32a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8578ad77f9f7fb2159f6a6e53bf2ff68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23cc408e32508f8faafbb8042c6fbefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2575e3d4686de9720ed34942818ba80c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5894ed1f1641a511005398971c26496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1d35e26208ddd8c34dde988fc18018.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195431ccf2756a0db26f14b7b91a32a7.png)
(2)对任意的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ff28931342d899de3a117c743e526e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733969643c55ec0ddfddd781a6545778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da2db7e09d2b1dbfbcd02574dae25ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18bac6cc423e8e4bbb68f3d8e8db5917.png)
您最近一年使用:0次
2022-10-24更新
|
2225次组卷
|
13卷引用:辽宁省重点高中沈阳市郊联体2022-2023学年高三上学期期中考试数学试题
辽宁省重点高中沈阳市郊联体2022-2023学年高三上学期期中考试数学试题广东省揭阳市普宁市华侨中学2023届高三上学期11月期中数学试题广东省四校(东山中学、珠海二中、佛山三中、广州五中)2022届高三上学期第一次联考数学试题黑龙江省哈尔滨市第一中学校2021-2022学年高三上学期期末考试数学(理)试题(已下线)2020年高考天津数学高考真题变式题16-20题四川省成都市第七中学2021-2022学年高三二诊模拟检测理科数学试题(已下线)二轮拔高卷02-【赢在高考·黄金20卷】备战2022年高考数学模拟卷(新高考专用)(已下线)回归教材重难点01 数列-【查漏补缺】2022年高考数学(理)三轮冲刺过关四川省遂宁市绿然国际学校2022届高考数学(文科)二诊模拟试题陕西省西安中学2022-2023学年高二上学期期中数学试题(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(已下线)专题4.3 求数列的通项-2021-2022学年高二数学特色专题卷(人教A版2019选择性必修第二册)浙江省金华十校2022-2023学年高二上学期期末联考模拟数学试题2
10 . 设数列
的前n项和为
,下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2022-10-20更新
|
799次组卷
|
5卷引用:辽宁省大连市第八中学2022-2023学年高三上学期期中考试数学试题
辽宁省大连市第八中学2022-2023学年高三上学期期中考试数学试题河北省唐山市第一中学2022-2023学年高三上学期期中考试数学试题辽宁省丹东市2020-2021学年高二下学期期末数学试题江苏省连云港市灌南高级中学2021-2022学年高二上学期期中数学试题(已下线)第四章 数列单元检测卷(知识达标)-【一堂好课】2022-2023学年高二数学同步名师重点课堂(人教A版2019选择性必修第二册)