名校
1 . 已知数列
的前n项和为
,且
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)令
,求数列
的前n项和
及
的最小值.
![](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/4fef7bc944782376ff708e30a1fefac3.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba65d7d9b9355d3673b05312ca514429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2 . 已知数列
前
项和为
.
(1)求数列
的通项公式;
(2)设数列
;求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4300dca231e2f4b37f70900b33439d5e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b35b20d625d7ec24531a0a6619f7683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1a208706fe64c4a6709e9de5da2bdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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名校
3 . 已知数列
满足
,
.
(1)证明数列
是等比数列,并求数列
的通项公式;
(2)令
,求数列
的前
项和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3998df04d0a8ded946c3f39d545fdc7e.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1413bc2c9162794f2dde9193684696e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd92c7e852847f4dcc8c5522932d638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.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
2019-05-29更新
|
1145次组卷
|
8卷引用:【市级联考】贵州省遵义市2018-2019学年高一下学期期中考试数学试题
2014·吉林长春·三模
名校
解题方法
4 . 设数列
的前
项和
,数列
满足
,
(1)求数列
的通项公式;
(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/6a3bc907fe03ad648a78548de36bcc6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85eac93ff71f15dd01b2b9af27a7652a.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/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
2020-12-08更新
|
193次组卷
|
5卷引用:贵州省贵阳市第三十七中学2020-2021学年高一下学期期中考试数学试题
名校
5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7ec544c606eaf45dc4db9c47f86973.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7ec544c606eaf45dc4db9c47f86973.png)
您最近一年使用:0次
名校
6 . 已知数列
的前
项和为
,
,
(
),等差数列
中,
(
),且
,
成等比数列.
(1)求数列
、
的通项公式;
(2)求数列
的前
项和
,
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b03dd47b0469396a7a7aeae1c31eb5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0dd3fb6af23def773e1b0032a4f3c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099585c6dd7df5ad7b75cfcb68db7676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32064fb3cd3c6f7a2434eea1d0c25860.png)
(1)求数列
![](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/4dc0bdefe6ea4cc508dd42ee6061106b.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
7 . 已知数列的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c599e7cec6d192fb73218e7882ceca.png)
(1)求数列的通项公式;
(2)设数列
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c599e7cec6d192fb73218e7882ceca.png)
(1)求数列的通项公式;
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21bac52d46522a8ea7a0f0de632e3e8e.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 . 设数列满足
.
(1)求的通项公式;
(2)若
,求数列
的前
项和
的最大值及此时的
值;
(3)求数列
的前
项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804d1b0c1af07dde92157d5972ad293a.png)
(1)求的通项公式;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6505fe1f0433c4cccce01192edac4826.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a7db9c4fa7d2d13bef10c7428fa0ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2019-05-07更新
|
1425次组卷
|
4卷引用:【全国百强校】贵州省铜仁市第一中学2018-2019学年高一下学期期中考试数学试题
【全国百强校】贵州省铜仁市第一中学2018-2019学年高一下学期期中考试数学试题安徽省六安市毛坦厂中学2020-2021学年高三(历届)上学期11月月考数学(理)试题(已下线)2022年全国高考甲卷数学(文)试题变式题9-12题(已下线)2022年全国高考甲卷数学(文)试题变式题17-20题
11-12高二·广东汕尾·阶段练习
名校
解题方法
9 . 已知数列
为等差数列,公差
,且
,
.
(1)求数列
的通项公式;
(2)令
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0f4de8cffe8fbc9b75532fb266b9ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57964a9b6a7c4a9bad33c4316407c24c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d005409790b3192705a181b2c8e7dfed.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/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2021-07-25更新
|
1730次组卷
|
33卷引用:贵州省兴仁市凤凰中学2019-2020学年高一下学期期中考试数学试题
贵州省兴仁市凤凰中学2019-2020学年高一下学期期中考试数学试题贵州省铜仁市伟才学校2019-2020学年高一下学期期中考试数学试题人教A版 全能练习 第2课时 等差数列的综合应用【全国百强校】内蒙古包头市第九中学2018-2019学年高一下学期期中考试数学试题福建省厦门市第六中学2018-2019学年高一下学期期中数学试题黑龙江省大庆中学2019-2020学年高一下学期期中考试数学试题新疆乌鲁木齐市第四中学2020-2021学年高一年级下学期期中考试数学试题(已下线)2013届广东省陆丰市碣石中学高二第三次月考理科数学试卷吉林省延边朝鲜族自治州汪清县第六中学2019-2020学年高二上学期期末考试数学(文)试题甘肃省天水市秦州区第一中学2019-2020学年高二上学期期末数学(文)试题(已下线)卷08-备战2020年新高考数学自学检测黄金10卷-《2020年新高考政策解读与配套资源》甘肃省天水市第一中学2019-2020学年高二上学期期末数学(文)试题甘肃省天水市秦州区第一中学2019-2020学年高二上学期期末数学(理)试题甘肃省天水市第一中学2019-2020学年高二上学期第三次学段(期末)考试数学(理)试题河南省平顶山市鲁山县第一高级中学2019-2020学年高二4月月考数学(理科)试题河南省平顶山市鲁山县第一高级中学2019-2020学年高二4月月考数学(文科)试题安徽省六安市舒城中学2019-2020学年高二下学期第三次月考数学(文)试题(已下线)第02章章末复习课-2020-2021学年高二数学课时同步练(人教A版必修5)四川省成都市新都一中2020-2021学年高三9月月考数学(理)试题四川省成都市新都一中2020-2021学年高三9月月考数学(文)试题新疆和田地区第二中学2020届高三(重点普通班)12月月考数学(文)试题福建省平和县第一中学2021届高三上学期期中考试数学试题广东省中山市小榄中学2020-2021学年高二上学期第二次段考数学试题(已下线)重组卷03-冲刺2021年高考数学之精选真题+模拟重组卷(新高考地区专用)吉林省长春市农安县2020-2021学年高二上学期期中考试数学(文)试题(已下线)专题5.5 《第五章 数列》单元测试卷(A卷基础篇)-2020-2021学年高二数学选择性必修第三册同步单元AB卷(新教材人教B版)云南省丽江市第一中学2020-2021学年高二3月月考数学(文)试题云南省丽江市第一中学2020-2021学年高二3月月考数学(理)试题(已下线)第四章数列 核心专项练习-【提升专练】2021-2022学年高二数学新教材同步学案+课时对点练(苏教版2019选择性必修第一册)(已下线)第04章 章末复习课-2020-2021学年高二数学课时同步练(人教A版选择性必修第二册)(已下线)综合复习与测试基础提升(卷一)-【提升专练】2021-2022学年高二数学新教材同步学案+课时对点练(苏教版2019选择性必修第一册)人教B版(2019) 选修第三册 一举夺魁 第五章 等差数列综合训练河南省林州市第一中学2021-2022学年高二下学期2月开学考数学(文)试题
10 . 已知等比数列
的前n项和为
,且6![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ae095d83682f815f9119c872f8e4d8.png)
(1)求a的值及数列
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/95ae095d83682f815f9119c872f8e4d8.png)
(1)求a的值及数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6167e15ff5c344afdbebeb6fadb5830c.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