名校
解题方法
1 . 已知等差数列
的前
项和为
,等比数列
的前
项和为
,
.
(1)若
,求
的通项公式;
(2)若
,求
.
![](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/08eb71ecf8d733b6932f4680874dbbf3.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc4821124a850c29375f52c866de5eb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7a4cd8af53eccad6934b24fdaf1c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780833b460121e4e36af81922bd76afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
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2020-08-25更新
|
2258次组卷
|
23卷引用:广东省惠东县惠东高级中学2018届高三适应性考试数学(文)试题
广东省惠东县惠东高级中学2018届高三适应性考试数学(文)试题山东省春季高考枣庄市2023届高三第二次模拟知识考试数学试题海南省陵水黎族自治县陵水中学2024届高三上学期第三次模拟测试数学试题河南省平顶山市郏县第一高级中学2017-2018学年高二上学期第三次月考数学(文)试题【全国百强校】宁夏育才中学2019届高三上学期月考二数学(文)试题2019届陕西省西安市第一中学高三上学期第一次月考数学(文)试题智能测评与辅导[文]-等比数列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)试题山东省青岛市第二中学2017-2018学年高一下学期期中数学试题广东省茂名市电白区2018-2019学年高二下学期期末数学(理)试题(已下线)专题14 数列综合-五年(2016-2020)高考数学(文)真题分项(已下线)专题18 等差数列与等比数列-十年(2011-2020)高考真题数学分项安徽省六安中学2019-2020学年高一下学期期末数学(文)试题陕西省咸阳市永寿中学2020-2021学年高三上学期开学考试数学(理)试题甘肃省玉门一中2020-2021学年高三第一次模拟考试文科数学试题(已下线)专题05 数列解答题(已下线)考向20等比数列及其前n项和(重点) - 3四川省达州市宣汉县土黄中学2022-2023学年高二上学期第一次测试数学试题(已下线)第03讲 等比数列及其前n项和 (高频考点—精讲)-2山东省菏泽第一中学2022-2023学年高二上学期12月月考数学试题广西南宁市第一中学2019-2020学年高二上学期期中段考数学试题(已下线)模块三 专题7 大题分类练(数列)基础夯实练 期末终极研习室(高二人教A版)(已下线)专题21 数列解答题(文科)-3
2 . 已知数列
既是等差数列又是等比数列,首项a1=1,则它的前2020项的和等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.2020 | D.0 |
您最近一年使用:0次
名校
3 . 已知等比数列
,等差数列
是数列
的前
项和,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d684743adc52766f50a0d1833a838983.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c4d3128c5449971f2d17e42aa83e84.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/133cd6941eb4e9bb22fa92aeeb352645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d684743adc52766f50a0d1833a838983.png)
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2020-06-04更新
|
327次组卷
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2卷引用:2017年普通高等学校招生全国统一考试(浙江卷)仿真预测卷(五)
名校
4 . 已知等差数列
的公差
,且
构成等比数列
的前3项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70bf4b88ff7f654c43f4f2bdb0649d1.png)
________ ;又若
,则数列
的前
项的和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2df98ce180b9d9e1a83f2c1332e2da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70bf4b88ff7f654c43f4f2bdb0649d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1344592c925b273f2cb9b9e47ebbb.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/04c2864e2ec3416cc4c081ac1f71a0af.png)
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2020-03-19更新
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2卷引用:2018年浙江省新高考仿真训练卷(五)
名校
5 . 设
个正数
依次围成一个圆圈,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4535ff56ef8474bad52c926606559d.png)
是公差为
的等差数列,而
是公比为
的等比数列.
(1)若
,求数列
的所有项的和
;
(2)若
,求
的最大值;
(3)当
时是否存在正整数
,满足
?若存在,求出
值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db483ae293e2b969b92eca4524f063fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4535ff56ef8474bad52c926606559d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6efb87a8bd689f9b64e77a1f43baebc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95f1ac6ae6c0b67c9759c41f7791117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9591790acda6cfada02926e2f0c7f3e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20655342f9ace8b50a50f5eae6f37beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1752474698cd5466dd180df0a00ba9c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e62e90b62ea982a32315cc2c2d2ccae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9b6c86435e0ceff94d8ad1cd03737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea69afba9cf603bb1625578e356dfbff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2019-12-05更新
|
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3卷引用:2016届上海市崇明区高考模拟数学试题
名校
6 . 设 等 差 数 列
的 公 差
不 为 0 ,
, 若
是
与
的 等 比 中 项,则
等于____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3507603040778ec586b860215fa3f08b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39773a450e3c30c72ead226d84e54563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2011·福建泉州·三模
7 . 已知数列-1,a1,a2,-4成等差数列,-1,b1,b2,b3,-4成等比数列,则
的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4e1e7969a2a04aec4d2eca0920205a.png)
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2019-01-10更新
|
868次组卷
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5卷引用:2012届福建省南安侨光中学高三第三次模拟考试文科数学试卷
(已下线)2012届福建省南安侨光中学高三第三次模拟考试文科数学试卷(已下线)等比数列(分层训练)-2018-2019版数学创新设计课堂讲义同步系列(人教B版必修5)(已下线)第02章+章末复习课(基础练)-2020-2021学年高二数学十分钟同步课堂专练(人教A版必修5)(已下线)第04章+章末复习课(基础练)-2020-2021学年高二数学十分钟同步课堂专练(人教A版选择性必修第二册)福建省莆田第十五中学2019-2020学年高二上学期期中考试数学试题
名校
8 . 数列
满足
,
(
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8443233ce65accca49ef36bb64926e35.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d797e311ea25b4157f8ae60d2f0a91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0477bb458b833faa1a91142adb04d9ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45099da72c723e0d810321a83c9f283b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ecd16eaf734551a39ce78e866498326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8443233ce65accca49ef36bb64926e35.png)
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2018-10-21更新
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2236次组卷
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5卷引用:广东省江门市2017-2018学年高二上学期调研测试(一)理科数学试题
名校
9 . 已知数列
为等比数列,
,且
是
与
的等差中项,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa87c54f923f0c85551bf7461ca59b90.png)
A.![]() ![]() | B.![]() | C.![]() ![]() | D.![]() |
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2018-09-30更新
|
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4卷引用:【市级联考】江西省南昌市2017-2018学年度高三第二轮复习测试卷文科数学(一)试题
【市级联考】江西省南昌市2017-2018学年度高三第二轮复习测试卷文科数学(一)试题江西省南昌市2017-2018学年高三第二轮复习测试理科数学试题(已下线)2018年10月1日 《每日一题》一轮复习【文】-等差数列与等比数列的综合应用(2)广西北海中学2019-2020学年高二上学期期中数学(文)试题
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10 . 已知数列{
}的通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48873417a7667f628e5c7052c96f416.png)
.
(1)求证:数列{
}是等差数列;
(2)若数列{
}是等比数列,且
=
,
=
,试求数列{
}的通项公式
及前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48873417a7667f628e5c7052c96f416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50231cf8c38d8c736d98adc82420d160.png)
(1)求证:数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)若数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2018-08-31更新
|
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2卷引用:宁夏回族自治区石嘴山市平罗县平罗中学2023-2024学年高三下学期第五次模拟考试数学(理)试题