1 . 设数列
的前n项和为
,已知
,
,
,若
,则正整数k的值为( )
![](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/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c840b24a1626f247eefe7371c8abb50e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2889dd3096379db5dfdd51305bdbb743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2bba93ea41b19a10e9c791029f254c4.png)
A.2016 | B.2017 | C.2018 | D.2019 |
您最近一年使用:0次
名校
2 . 已知在等差数列
中,
,
,数列
的通项
,
是数列
的前
项和,若
,则
与
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b50b3927041221a53f19b6a0549d71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b80182bfa4e200198c9da2987010f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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/958f8afdcc7b235726611e1f4a65bd67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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4卷引用:福建省龙岩第一中学2021-2022学年高二(实验班)上学期第二次月考数学试题
福建省龙岩第一中学2021-2022学年高二(实验班)上学期第二次月考数学试题福建省福州第三中学2022届上学期高三第四次质量检测数学试题(已下线)热点07 数列与不等式-2022年高考数学【热点·重点·难点】专练(新高考专用)(已下线)押全国卷(理科)第5,9题 数列-备战2022年高考数学(理)临考题号押题(全国卷)
名校
3 . 已知正项数列
的前
项和为
,满足
.
(1)求数列
的前
项和
;
(2)记
,证明:
.
![](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/9583a4d9bf7b954042226232d23a8c19.png)
(1)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)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032b74193c04dd5b9b389f93de59e2cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fccb0948dac69756bd12599ec28716.png)
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|
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4卷引用:河北省部分学校2022届高三上学期11月质量检测数学试题
河北省部分学校2022届高三上学期11月质量检测数学试题天津市第四中学2021-2022学年高三上学期第二次阶段性质量调查数学试题福建省部分名校2022届高三11月联合测评数学试题(已下线)重难点01 数列-2022年高考数学【热点·重点·难点】专练(新高考专用)
4 . 已知首项为1的数列
的前
项和为
,且
.
(1)求证:数列
是等差数列;
(2)求数列
的通项公式;
(3)若数列
满足
,求证:
.
![](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/61838291e3fcb3c1606e585309bed522.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7f22681a5d344e7bce11530caeb23f.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/327a14b64c4ae75b40f9f2f07c186222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c32f0a3bdc514d32f7ce3dc0d7ae9e.png)
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名校
5 . 设数列
满足
,
其中
为实数,数列
的前n项和是
,下列说法不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c561866f59ec5e16687332c7121b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c806dc9bf2cad0cb20220d23bd252a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.当![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() |
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2021-12-21更新
|
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5卷引用:浙江省台州市第一中学2021-2022学年高三上学期期中数学试题
浙江省台州市第一中学2021-2022学年高三上学期期中数学试题(已下线)热点07 数列与不等式-2022年高考数学【热点·重点·难点】专练(新高考专用)(已下线)押全国卷(理科)第5,9题 数列-备战2022年高考数学(理)临考题号押题(全国卷)(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)(已下线)第4章 数列(压轴题专练)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第一册)
6 . 已知数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb280acee28ba6c69d5e41e490e78f1.png)
(1)求数列
的通项公式;
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb280acee28ba6c69d5e41e490e78f1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37ab88b85250919ad44855f25fc4ce.png)
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7 . 在①
②
这两组条件中任选一组,补充在下面横线处,并解答下列问题.
已知数列的
前
项和是
数列
的前
项和是
,__________.
(1)求数列
的通项公式;
(2)设
证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb980a367268cc8cf32807056accb70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0a818714d43f2dd1834d3cfe546617.png)
已知数列的
![](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/8d7a9511c3d1b6d41d17df1559919880.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)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942ed174dfdafaf5f0a68cac579110f8.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a3573e6a816c0075b489574d90b5394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f335fb4940e04f68d5fdb2cc090235.png)
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2021-11-24更新
|
1232次组卷
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9卷引用:宁夏银川三沙源上游学校2021-2022学年高二上学期期中考试数学(理)试题
宁夏银川三沙源上游学校2021-2022学年高二上学期期中考试数学(理)试题四川省德阳市德阳中学校2021-2022学年高三上学期11月月考数学(理)试题重庆市梁平区2022届高三上学期第一次调研考试数学试题甘肃省天水市第一中学2021-2022学年高三上学期第三次考试数学(理科)试题甘肃省天水市第一中学2021-2022学年高三上学期第三次考试数学(文科)试题江苏省苏州市张家港高级中学2021-2022学年高三上学期期中模拟数学试题(已下线)热点04 数列求和及综合应用-2022年高考数学【热点·重点·难点】专练(全国通用)宁夏银川市贺兰县景博中学2023届高三上学期第二次月考数学(理)试题(已下线)专题05 策略开放型【练】【通用版】
8 . 已知正实数列
满足
,当
时,记集合
,且集合
中的最大元素为
.
(1)若
,求数列
的通项公式;
(2)记数列前n项和为
,证明:存在正实数
,对于任意的正实数
与整数n>1,都有
.注:对于任意实数a,b,定义
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b321b66145a2ed6b30d30b62fd8acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7afe76f3b456f040fef0d89e0f2996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191a66915ee31c2c7e0a0ace99df4586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记数列前n项和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bc85af36f64be115dd7c5d88fac6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0158862238e250d2a2598b7d4ecd148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c0e8564359b3f5bd268ab136314f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478e75f2162f25b93d4c337e2829fc05.png)
您最近一年使用:0次
解题方法
9 . 已知数列
满足:
.则对于任意正整数n>100,有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b361eb49ea1e21e6d23c73034b2eaa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35fa30b44312562786f6c8fea933c096.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知
,
,
为实数.
(1)求证:
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e28ecd21f85906f74085dcdd0a1cb5e.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7211022a2e5278adf0504e0f35cdb6d3.png)
您最近一年使用:0次
2021-11-21更新
|
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5卷引用:河南省重点中学2021-2022学年高三上学期模拟调研(一)数学(文)试题
河南省重点中学2021-2022学年高三上学期模拟调研(一)数学(文)试题河南省重点中学2021-2022学年高三上学期模拟调研(一)数学(理)试题(已下线)河南省名校2021-2022学年高三上学期尖子生11月调研考试数学(理)试题(已下线)考点58 不等式选讲-备战2022年高考数学典型试题解读与变式(已下线)2024年高考全国甲卷数学(理)真题平行卷(提升)