名校
1 . 给定正整数k,m,其中
,如果有限数列
同时满足下列两个条件,则称
为
数列.记
数列的项数的最小值为
.
条件①:
的每一项都属于集合
;
条件②:从集合
中任取m个不同的数排成一列,得到的数列都是
的子数列.
注:从
中选取第
项、第
项、…、第
项(其中
)形成的新数列
称为
的一个子数列.
(1)分别判断下面两个数列是否为
数列,并说明理由:
数列
;
数列
;
(2)求证:
;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff8f43f54aaab94d126c2ed7c929196.png)
![](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/b33bf403c186b3c6747b2d9d1dd75990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33bf403c186b3c6747b2d9d1dd75990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733309155391786ce67cf7becf69cfdc.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397303cf4747941d4e68c649168308b9.png)
条件②:从集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397303cf4747941d4e68c649168308b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
注:从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5f59bc23cf55f56312c9ed9806371f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6af9e7b1c23db5584ad8521d4444d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749cd20d9be1925f0d1d7aa4b3660308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1ede9d1caaf88f47e9ab027394b4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03747bd03d463752a44ad2396506e93f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)分别判断下面两个数列是否为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b218eb05c837c471564a8de0a8df01e3.png)
数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8f0c365d19e8120876cd2dcc22f215.png)
数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa0ced8f2185d0f51a3b44cc247d302.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6cae7fcca373eb22a7e1e4cb336418.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a740d8b3e5fd2e09cad35ea37f623d5e.png)
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2023-08-30更新
|
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3卷引用:湖南省常德市汉寿县第一中学2024届高三下学期3月月考数学试题
名校
2 . 已知数列
,如果存在常数
,对于任意给定的正数
(无论多小),总存在正整数
,使得
时,恒有
成立,就称数列
收敛于
(极限为
),即数列
为收敛数列.下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1563da7b0f046a469476668a3686e8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b27c3cd4865ab321c9a6bd190645cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.数列![]() |
B.若数列![]() ![]() ![]() ![]() |
C.若数列![]() ![]() ![]() |
D.若数列![]() ![]() ![]() |
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7卷引用:湖南省2023届高三二轮复习联考(二)数学试题
湖南省2023届高三二轮复习联考(二)数学试题河北省石家庄市部分学校2023届高三联考(二)数学试题辽宁省2023届高三二轮复习联考(二)数学试题(已下线)模块六 专题4 易错题目重组卷(辽宁卷)(已下线)专题17 数列探索型、存在型问题的解法 微点3 数列探索型、存在型问题综合训练广东省湛江市第二中学2022-2023学年高二下学期第二次月考数学试题(已下线)模块三 专题9 新情境专练 拔高 期末终极研习室(高二人教A版)
3 . 为激发大家学习数学的兴趣,在一次数学活动课上.老师设计了有序实数组
表示把
中每个
都变为
,每个0都变为
,每个1都变为0,1所得到的新的有序实数组,例如:
,则
.定义
.若
,则
中有______ 个1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428253a881b9f7aacca6deabb00ede08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29418e5014731850c55565b6bf47aa41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c928060da9aa0d459ca27a9e26d656cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02d9f149c12ef612345a0617650215e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ec0669f6c62fdc8f97b480f5ed47c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b6487d32d7165de1f8e8d3ab0c08a16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36091df0a9c71ef14161ba59dbaa4230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c418d48e5e63443ef9a1e5d62e8a28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77973387dada13dd03c0458028cbe46.png)
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2023-05-08更新
|
649次组卷
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4卷引用:湖南省名校2023届高三下学期5月适应性测试数学试题
湖南省名校2023届高三下学期5月适应性测试数学试题河南省豫南名校毕业班2023届高三仿真测试三模理科数学试题江西省丰城中学、新建二中2022-2023学年高二下学期6月期末联考数学试题(已下线)专题01 数列(6大考点经典基础练+优选提升练)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(新高考专用)
名校
4 . 已知有穷数列![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140fc05a04e72b3899e3a20b788efacc.png)
中的每一项都是不大于
的正整数.对于满足
的整数
,令集合
.记集合
中元素的个数为
(约定空集的元素个数为0).
(1)若
,求
及
;
(2)若
,求证:
互不相同;
(3)已知
,若对任意的正整数
都有
或
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140fc05a04e72b3899e3a20b788efacc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80be0c3c50d2bd6230b53fbd056122df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315109103349a6e41373c994e89f9f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b1289cd5105a33641d0ab350880287b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4213f42ef29e8c3771e54baf8ce61fe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572d587a78e6277038797afe334301b9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee4961b7448f4016b2562d6f95c2c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b57a882fbf243394e93e6b1e8d63eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf08e04e8782cd51427f5551848c9f3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ddb144ab2bb784e47504f1ace7585a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2949abdd567ee17ade2f8d4475c68615.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137a321fe86dc4cd36da85d38526e3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede05777d71357a6353a625a3b075077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96e4b7674a293dfa4c88c3703aceebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b40d829fa61250e8010041f0f2774c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831ed34d8c6d99fdd0b94688ef03bfcb.png)
您最近一年使用:0次
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10卷引用:湖南省湘潭市湘潭县第一中学2024届高三下学期2月月考数学试题
5 . 若数列满足
,则称数列
为“平方递推数列”.已知数列
中,
,点
在函数
的图象上,其中n为正整数,
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdae11d8c18749ce9000613a4afbbb1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8abdfacf7440d4b455411998085dffe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf8e78a4251ded720142a89d83715e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92989b8324c75938a86a26b91a720804.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2023-05-01更新
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8卷引用:湖南师范大学附属中学2023届高三二模数学试题
6 . 已知数表
中的项
互不相同,且满足下列条件:
①
;
②
.
则称这样的数表
具有性质
.
(1)若数表
具有性质
,且
,写出所有满足条件的数表
,并求出
的值;
(2)对于具有性质
的数表
,当
取最大值时,求证:存在正整数
,使得
;
(3)对于具有性质
的数表
,当n为偶数时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed47dfcc453bcc034a4c4490161da91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f90d683ac488837f9f4f0d36cef32.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3a3806d5350d02e410b1c008deeb77.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53be326052e623a71b1e8bbdd9c6f31e.png)
则称这样的数表
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a29fef95ed54dcf5c653749f5e9d232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若数表
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce9d40adaecd9741d39abc0b3690431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc0451ddb250fc0b16fb794652b6f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce9d40adaecd9741d39abc0b3690431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891f611bbc4558380467c4b4016092a9.png)
(2)对于具有性质
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a29fef95ed54dcf5c653749f5e9d232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae125a86cb3414cf27b3e5476e2dfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df0e3592f57e9715f9ed56bfc98241f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d42cc575e90606d0fda516f1023c213.png)
(3)对于具有性质
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a29fef95ed54dcf5c653749f5e9d232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae125a86cb3414cf27b3e5476e2dfb0.png)
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2023-03-27更新
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2833次组卷
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11卷引用:湖南省2024届高三数学新改革适应性训练二(九省联考题型)
湖南省2024届高三数学新改革适应性训练二(九省联考题型)北京市东城区2023届高三一模数学试题专题12压轴题汇总(10、15、21题)专题07数列北京卷专题18数列(解答题)(已下线)平行卷(提升)(已下线)数列新定义(已下线)黄金卷05(2024新题型)(已下线)2024年北京高考数学真题变式题16-21上海市上海中学2023-2024学年高二上学期期末考试数学试题广东省深圳市深圳科学高中2023-2024学年高二下学期开学考试数学试题
名校
解题方法
7 . 在数字通信中,信号是由数字“0”和“1”组成的序列,“0,1数列”是每一项均为0或1的数列,设
是一个“0,1数列”,定义数列
为数列
中每个0都变为“
”,每个1都变为“
”所得到的新数列.例如数列
,则数列
.已知数列
,记数列
,则数列
的所有项之和为___________ ;数列
的所有项之和为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2231c2f7241d4fb4c48c3105700ea0c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823b15e6dc9fce202c3c57e7d18df0f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f32df58be46198b2e7a112ed255d8bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/021e539f6eb01379bb6bb178d7711bf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/169315556239b6ba1e63a39999b1dc39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0386aa1cce19b412747b4459394658fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/247b6beb51e8a29ae55a22fa33c70cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
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名校
解题方法
8 . 意大利数学家傲波那契在研究兔子繁殖问题时发现了数列1,1,2,3,5,8,13,…,数列中的每一项被称为斐波那契数,记作Fn.已知
,
,
(
,且n>2).
(1)若斐波那契数Fn除以4所得的余数按原顺序构成数列
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef965c11e5a2b3ea39e8878565274c5.png)
___________ .
(2)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ce8c715be855183f0a58ced942e133.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db966a50d8f7548c0107958742e238a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613415f9dd1c557595459f2f2399584f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37baa6b44a7fe407c89ca7e29af4809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
(1)若斐波那契数Fn除以4所得的余数按原顺序构成数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef965c11e5a2b3ea39e8878565274c5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da70ad98fa365c1d25e9c9e1a0f02164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ce8c715be855183f0a58ced942e133.png)
您最近一年使用:0次
2023-02-19更新
|
1056次组卷
|
5卷引用:湖南省长沙市长郡中学2023届高三二模数学试题
名校
解题方法
9 . 设数集
满足:①任意
,有
;②任意x,
,有
或
,则称数集
具有性质
.
(1)判断数集
和
是否具有性质
,并说明理由;
(2)若数集
且
具有性质
.
(i)当
时,求证:
,
,…,
是等差数列;
(ii)当
,
,…,
不是等差数列时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8647b00cc8c8f35555c7d78cf2812c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c8b2714e2f6ddfdd6b05d3b4de1149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8e5872f45d4b878b0119997cb5bae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84734fbba70c0b45045fabf8090f810b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)判断数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2161a642b95463642adc3892850bc74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6976dd6abc25367343e4c7157644483c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c812823ecb5cdc8d9384a167b4071a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d678c255575be87d0c8f2c7562355290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(i)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(ii)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2022-12-25更新
|
1149次组卷
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6卷引用:湖南省娄底市2024届高考仿真模拟考试一模数学试题
湖南省娄底市2024届高考仿真模拟考试一模数学试题湖南省长沙市长郡中学2024届高三下学期高考考前模拟卷数学试题(二)北京市八一学校2023届高三上学期12月月考数学试题(已下线)北京市西城区2022届高三二模数学试题变式题16-21(已下线)专题3 等差数列的判断(证明)方法 微点2 通项公式法、前n项和公式法(已下线)2023年北京高考数学真题变式题16-21
10 . 对于数列
,
,其中
,对任意正整数
都有
,则称数列
为数列
的“接近数列”.已知
为数列
的“接近数列”,且
,
.
(1)若
(
是正整数),求
,
,
,
的值;
(2)若
(
是正整数),是否存在
(
是正整数),使得
,如果存在,请求出
的最小值,如果不存在,请说明理由;
(3)若
为无穷等差数列,公差为
,求证:数列
为等差数列的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1165edc23b5782b5942ef7e79130bb94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78393519255d80cb3c118a0d71f15511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4719086a4e785f6b5fdb429a313ef2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1165edc23b5782b5942ef7e79130bb94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20c7b6daa1896a8a274c53f78562987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26617babc02c5fcd7f26963a39d63bcd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce6549c5171680493c49b60b7556e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57483e04fd1840c87ac5325157149877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a548938d87c80ac47910607d3857007f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390a3ae2949dfbf5a342bda3372d3149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ba29be0a4f589c51de211609728ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若
![](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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf4973ccdd9289ee99369aaa916cb6c.png)
您最近一年使用:0次
2022-12-16更新
|
744次组卷
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4卷引用:湖南省长沙市湖南师范大学附属中学2024届高三下学期高考模拟(三)数学试卷
湖南省长沙市湖南师范大学附属中学2024届高三下学期高考模拟(三)数学试卷上海市徐汇区2023届高三一模数学试题(已下线)专题16 数列新定义题的解法 微点2 数列新定义题的解法(二)上海市洋泾中学2023-2024学年高二上学期10月质量检测数学试题