名校
1 . 已知有穷数列
,
,
,
,
满足
,且当
时,
,令
.
(1)写出
所有可能的值;
(2)求证:
一定为奇数;
(3)是否存在数列
,使得
?若存在,求出数列
;若不存在,说明理由..
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cff70eedae11d8afe0c0e8ef5fd0a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74f6c20a7b945dd94c4117a3d10a7347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4455fe3127c5130ae5f66e42a7cc79d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1bd1147d3076ee020d6af6c4cc3eaa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9e04d10c84ad483262f8e52e7b7ebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56cc7400e2df7afc836c28f4ff3d4b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9e21b38dd94a8f9cb95aeca180957f.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5c5b0b0a1114834e1431930cd3b7f0.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)是否存在数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb3a382e10d7806414df36600c33084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
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|
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2卷引用:北京市第四中学2020~2021学年高二下学期期中测试数学试题
2 . 对任一实数序列
,定义序列
,它的第
项为
.假定序列
的所有项都为1,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366b7d2c4916ea8913f49587388f7e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ba069103b2b38a451c8d33edd53fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fcde3a21ad686b1befcaefea2b6f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3cac3a8afcdd15c36f610247d50439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bc11d05aad76672e30e17311d204d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac326f9f4ad78d0053c113f823ea6d60.png)
A.1000 | B.2000 | C.2003 | D.4006 |
您最近一年使用:0次
2021-02-27更新
|
1452次组卷
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6卷引用:湖南省长沙市长郡中学2021-2022学年高二上学期期中数学试题
湖南省长沙市长郡中学2021-2022学年高二上学期期中数学试题湖南省常德市第一中学2021届高三下学期第五次月考数学试题(已下线)专题8.2 创新型问题 玩转压轴题-玩转压轴题,进军满分之2021高考数学选择题填空题(已下线)卷13 高二上学期第二次阶段测试卷01 -【重难点突破】2021-2022学年高二数学名校好题汇编同步测试卷(人教A版选择性必修第二册)安徽省六安市舒城中学2022届高三下学期一模理科数学试题(已下线)第37练 等差数列
名校
解题方法
3 . 设数列
满足
,
,
,数列
前n项和为
,且
(
且
).若
表示不超过x的最大整数,
,数列
的前n项和为
,则
( )
![](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/7def23f30138e0b7c4c1e498d6903a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0939caf47d751f8c7139bd0b25fe98.png)
![](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/7b717d5d034f05792b2f622667df31db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607e558b9d0e5955a60d0e97e095077a.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/5d8763fb7307ce3f0ff7186e30a517ee.png)
A.2019 | B.2020 | C.2021 | D.2022 |
您最近一年使用:0次
2020-07-23更新
|
1463次组卷
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7卷引用:河北省曲阳县第一高级中学2021-2022学年高二上学期期中数学试题
河北省曲阳县第一高级中学2021-2022学年高二上学期期中数学试题河南省名校联盟2020届高三下学期6月联考数学(理科)试题河南省豫南九校2020-2021学年高二上学期第一次联考(9月)数学(理)试题河南省名校联盟2020届高三(6月份)高考数学(理科)联考试题(已下线)第六单元 数列(B卷 滚动提升检测)-2021年高考数学(理)一轮复习单元滚动双测卷(已下线)专题13 数列-备战2021年新高考数学纠错笔记 苏教版(2019) 选修第一册 一蹴而就 第4章 单元整合
4 . 干支纪年法是中国历法上自古以来就一直使用的纪年方法、干支是天干和地支的总称,甲、乙、丙、丁、戊、己、庚、辛、壬、癸为天干:子、丑、寅、卯、辰、已、午、未,申、酉、戌、亥为地支.把十天干和十二地支依次相配,如甲对子、乙对丑、丙对寅、…癸对寅,其中天干比地支少两位,所以天干先循环,甲对戊、乙对亥、…接下来地支循环,丙对子、丁对丑、.,以此用来纪年,今年2020年是庚子年,那么中华人民共和国建国100周年即2049年是( )
A.戊辰年 | B.己巳年 | C.庚午年 | D.庚子年 |
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2020-07-07更新
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1061次组卷
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7卷引用:江西省崇义中学2020-2021学年高一上学期期中考试数学试题(B卷)
江西省崇义中学2020-2021学年高一上学期期中考试数学试题(B卷)辽宁省锦州市黑山县黑山中学2020届高三6月模拟考试数学(文)试题辽宁省锦州市黑山县黑山中学2020届高三6月模拟考试数学(理)试题(已下线)专题01 数列的概念及简单表示(专题测试)-2020-2021学年高二数学重难点手册(数列篇,人教A版2019选择性必修第二册)1.1 -1.2 周期现象与角的概念与推广 2020-2021学年高一数学北师大版2019必修第二册陕西省西安市长安区第一中学2022-2023学年高二下学期期末文科数学试题陕西省西安市长安区第一中学2022-2023学年高二下学期期末理科数学试题
名校
解题方法
5 . 已知数列
的前
项和
,数列
满足:
,
.
(Ⅰ)求数列
,
的通项公式;
(Ⅱ)求
.
![](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/5886e031a95a8d52c9306e6b1c518abc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b007573b2538d5dc14b33a94b4adc163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e333cd6e61038ba431e7092806d3cb.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56c26ae1048eec77829fb968998d87a.png)
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2020-05-11更新
|
1527次组卷
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5卷引用:天津市和平区2020-2021学年高三上学期期中数学试题
天津市和平区2020-2021学年高三上学期期中数学试题(已下线)天津市耀华中学2020-2021学年高三上学期期中数学试题2020届天津市南开区高考一模数学试题(已下线)重难点1 数列-2021年高考数学【热点·重点·难点】专练(山东专用)(已下线)专题24 数列求和的常见方法-学会解题之高三数学万能解题模板【2022版】
6 . 设
为数列
的前
项和,
.数列
前
项和为
且
.数列
满足
.
(1)求数列
和
的通项公式;
(2)记
表示
的个位数字,如
,求数列
的前30项的和.
![](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/4300dca231e2f4b37f70900b33439d5e.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/6e926475c154644af560cd152a0f203f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2257d49ff5a72b0f468c6ecaba3049ce.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a7d0e556bfc4abc6a2e6747b7ca4db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5882203e68d6a09fd544202c0ed9a344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/979485f7116e7bbb751f76fd55695bd8.png)
您最近一年使用:0次
2020-05-03更新
|
400次组卷
|
4卷引用:湖北省孝感市五校协作体2018-2019学年高三上学期期中文科数学试题
湖北省孝感市五校协作体2018-2019学年高三上学期期中文科数学试题湖北省孝感市五校协作体2018-2019学年高三上学期期中理科数学试题广东省广州市西关外国语学校2020-2021学年高二上学期期中数学试题(已下线)模块二 专题6《数列》单元检测篇 A基础卷 (人教A)
名校
7 . 已知数列
:
,
,
,
(
),与数列
:
,
,
,
,
(
),记
.
(1)若
,求
的值;
(2)求
的表达式;
(3)已知
,且存在正整数
,使得在
中有4项为100,求
的值,并指出哪4项为100.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a845e3442d04b024fc5645e364436e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194f644d156cfa364378e6cb1796073b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f21c4ccfd9eedc8a68499843e255004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d28fc397ca5e79e5a9e5d7aeba25725d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004c1df7814646f1c2d0243759d14511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb85b9cc92f8407f658b510e21b1fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5a9ac8bc15b674e6301c17aa09d960.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d12967e586774dedeb0bcb30939a994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29f23b3b5ea592bb7b99c2828b7ebc0.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88abc4ce6f29684af93807ff4c9f13bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
您最近一年使用:0次
名校
8 . 已知数列
的首项为2,且数列
满足
,数列
的前
项和为
,则
为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d206a1662f9c69b187836c19aa0142b8.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/e6f18f2c2ec67b5e59e4b3d28795d125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092c9e4e341a55df80a7be90460448f1.png)
A.504 | B.588 | C.![]() | D.![]() |
您最近一年使用:0次
2019-08-17更新
|
442次组卷
|
6卷引用:广东省广州市西关外国语学校2020-2021学年高二上学期期中数学试题
9 . 已知数列
的前
项和
满足
,
,且
.
(1)求数列
的通项公式;
(2)设
,
为数列
的前
项和,求使
成立的最小正整数
的值.
![](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/fcbe4d8a61d5d09e526ce573c1d02b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5572dd65d61abddd96dccb9e80e2892a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.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/a00db49ab3eb71571bb450052bafc00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2019-01-28更新
|
925次组卷
|
7卷引用:广东省高州中学2022-2023学年高二下学期期中数学试题
广东省高州中学2022-2023学年高二下学期期中数学试题2018年全国高中数学联赛福建省预赛江西省宜丰中学、宜春一中、万载中学2021届高三3月联考数学(理)试题(已下线)2021年高考数学押题预测卷(新高考卷)01湖南省株洲市第二中学2021-2022学年高二下学期“同济大学”杯数理化联赛数学试题山西省运城中学校2022届高三冲刺模拟(一)数学(文)试题(已下线)高二下学期期末押题卷01-【同步题型讲义】2022-2023学年高二数学同步教学题型讲义(人教A版2019选择性必修)
10 . 已知数列
为等差数列,且
,
,则
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad904ff0f8e1f44f5b6bb6ba93cfb0bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7776d52fa7e8a2de98525692e7dc030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5981e8c83309dd75758042a9f44bacc5.png)
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A.80 | B.40 | C.24 | D.![]() |
您最近一年使用:0次
2019-01-02更新
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175次组卷
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2卷引用:【全国百强校】北京市清华大学附属中学2018-2019学年高二(上)期中数学试题