名校
解题方法
1 .
为数列
的前
项和.已知
,
.
(1)证明
是等比数列,并求数列
的通项公式;
(2)数列
满足
,求数列
的前
项和
.
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612ca02f7ca42d8cbf9d8336d9f2300c.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d4ed61d770a4e82f3aaa6ce9c13903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50d6d518a78caad6a22173681996795e.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
2023-12-25更新
|
2842次组卷
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7卷引用:四川省宜宾市兴文第二中学校2023-2024学年高二上学期期末数学试题
四川省宜宾市兴文第二中学校2023-2024学年高二上学期期末数学试题陕西省西安市西北工业大学附属中学2023-2024学年高二上学期期中质量检测数学试题河北省石家庄市第二中学2023-2024学年高二上学期期末第一次模拟考数学试题宁夏回族自治区银川市贺兰县第一中学2023-2024学年高二上学期期末复习数学试题(四)(已下线)第四章 数列章末综合达标卷-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第二、三册)青海省西宁市海湖中学2023-2024学年高二下学期开学考试数学试卷(已下线)2024届新高考数学原创卷6
解题方法
2 . 已知等差数列
的前n项和为
,且
,
.
(1)求数列
的通项公式;
(2)若
,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/159cb4570a04d2306dd2236950747b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2395ccadbeb8353ead0d573ca02c25.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4a67138f29758d025473086601cef0.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
2023-11-27更新
|
930次组卷
|
3卷引用:四川省宜宾市2024届高三第一次诊断性测试数学(文)试题
3 . 记
为数列
的前
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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45da9e16de7a3db417ae2e794313dd3.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e0a11035037cfd4240c48bc89661374.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
名校
解题方法
4 . 已知数列
各项都不为
,前
项和为
,且
,数列
满足
,
.
(1)求数列
和
的通项公式;
(2)令
,求数列
的前
项和为
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a659a1bd58b7bb1f198aa60f013cc435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcba622ae8d5e614f5f59982ce9b9b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4768914264c2679c78400c5a342d83c3.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/863e8169a4f67d7653ed7fdd3d1c71eb.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)
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2023-05-06更新
|
1471次组卷
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6卷引用:四川省宜宾市南溪第一中学校2024届高三上学期一诊考试理科数学模拟试题
5 . 已知数列
,
,
,记
为数列
的前
项和,
.
条件①:
是公差为2的等差数列;条件②:
.
从条件①、条件②这两个条件中选择一个作为已知.
(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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](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/8f371c5315a908f6d39b41c1840836bc.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f2d0907b37bd9475b8c865259f81b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b62b2b99c8aa78baf948704fb3198a8.png)
从条件①、条件②这两个条件中选择一个作为已知.
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7317dfbd0383e6a6d13029805ee9d79b.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
6 . 已知数列{
}的前n项和为
,且
.
(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/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54be7b25b7edcd5c7fa8c5496e52f943.png)
(1)求数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac2350b03b2410ab69c8e077aa4c895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2023-03-21更新
|
1067次组卷
|
6卷引用:四川省宜宾市第四中学校2023届高三三诊模拟文科数学试题
四川省宜宾市第四中学校2023届高三三诊模拟文科数学试题四川省宜宾市第四中学校2023届高三三诊模拟理科数学试题贵州省毕节市2023届高三诊断性考试(二)数学(文)试题贵州省毕节市2023届高三诊断性考试(二)数学(理)试题(已下线)专题11数列(解答题)(已下线)专题11数列(解答题)
名校
解题方法
7 . 已知数列
中,
,
.
(1)判断数列
是否为等差数列,并说明理由;
(2)求数列
的前
项和
![](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/59e7dbf596960d1d18db27a882312281.png)
(1)判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25cbe66fe4e84b4022721122baab4a3.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
2023-03-01更新
|
1904次组卷
|
5卷引用:四川省宜宾市叙州区第一中学校2023届高三二诊模拟数学(理)试题
四川省宜宾市叙州区第一中学校2023届高三二诊模拟数学(理)试题四川省宜宾市叙州区第一中学校2023届高三二诊模拟文科数学试题山东省淄博市2023届高三下学期一模数学试题江苏省南通市海安高级中学2022-2023学年高二下学期阶段检测(一)数学试题(已下线)专题06 数列在高考中的考法(难点,十一大题型+过关检测专训)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)
名校
解题方法
8 . 已知数列
的前
项和
满足
.
(1)求
,并证明数列
为等比数列;
(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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079d7b4f5061c163c85d1ebf9ffb6dea.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1cbdba005d5a2041870d638f5b4c2d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9e482f73365d9310b40af0bc91bb5a.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
2022-11-25更新
|
1137次组卷
|
4卷引用:四川省宜宾市2023届高三上学期第一次诊断性数学(文)数学试题
四川省宜宾市2023届高三上学期第一次诊断性数学(文)数学试题(已下线)专题6-3 数列求和-3(已下线)2023年高考数学(文)终极押题卷黑龙江省哈尔滨市尚志市尚志中学2023届高三上学期12月月考数学试题
9 . 已知数列
的前
项的和为
,且
.
(1)求证:数列
是等比数列;
(2)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/2ead8921a4b8315ef84a8956b2c1cbac.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c033d0d59a0767eea50d0afa4737e4.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0496f142d8ae5acb06e83526eaa3ef87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2022-12-15更新
|
673次组卷
|
2卷引用:四川省宜宾市第四中学校2023-2024学年高二上学期期末数学试题
10 . 已知等差数列
的公差不为0,且
,
;数列
的前n项和为
,且
.
(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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba9cb8808927a2d4c3055850a32d11c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd56c886d76991ec450d4aa1b7a6174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc633e7b917b3f3d8c1d218f19bb4b32.png)
(1)求数列
![](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/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509371b943f5d82567a2ea4ee9ce48d2.png)
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2022-07-21更新
|
555次组卷
|
3卷引用:四川省宜宾市叙州区第一中学校2024届高三下学期开学考试数学(文)试题