名校
1 . 已知数列A:a1,a2,…,aN
的各项均为正整数,设集合
,记T的元素个数为
.
(1)①若数列A:1,2,4,5,求集合T,并写出
的值;
②若数列A:1,3,x,y,且
,
,求数列A和集合T;
(2)若A是递增数列,求证:“
”的充要条件是“A为等差数列”;
(3)请你判断
是否存在最大值,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485eb1ad5fd643e739e15a39c7922b4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f081d422da2385bed320a2c3a52633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f812114476c7a8f0219a412039d07c89.png)
(1)①若数列A:1,2,4,5,求集合T,并写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f812114476c7a8f0219a412039d07c89.png)
②若数列A:1,3,x,y,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c73a0da1caaab9022852df736dc9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c4c7fe993913d8731716ac796359f0.png)
(2)若A是递增数列,求证:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dd1d57123aedb635394b03c8b4c461.png)
(3)请你判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f812114476c7a8f0219a412039d07c89.png)
您最近一年使用:0次
2023-12-30更新
|
715次组卷
|
7卷引用:北京市北京大学附属中学2021-2022学年高二上学期期中数学试题
北京市北京大学附属中学2021-2022学年高二上学期期中数学试题北京市第二十四中学2023-2024学年高二上学期期末数学模拟试卷(已下线)北京市海淀区2023届高三上学期期末练习数学试题变式题16-21(已下线)专题03 条件存在型【讲】【北京版】1广东省惠州市第一中学2024届高三元月阶段测试数学试题(已下线)专题1 集合新定义题(九省联考第19题模式)练(已下线)高考数学冲刺押题卷01(2024新题型)
名校
2 . 对于项数为
的有穷数列
,若
,则称
为“
数列”.
(1)已知数列
、
的通项公式分别为
,
.分别判断
、
是否为“
数列”;(只需给出判断)
(2)已知“
数列”
的各项互不相同,且
,
.若
也是“
数列”,求有穷数列
的通项公式;
(3)已知“
数列”
是
的一个排列(即数列
中的项不计先后顺序,分别取
),且
,求
的所有可能值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32242e0f13757d9272dbb9b2dde59396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b61ca21ff2692ed8644a0ad75e8cbf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7c53e03122e5efe206b6d99b2a39eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc81e112833740ee53fcfe43635ecfbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)已知“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5897fd42e01b077fe8685e7b7a71e278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceacfd0395da804e9fd4878fbd93080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c966b6bcdef6fe23f507883f6acb0e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16143c66da85c6bf56510f5f639e50f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)已知“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78eeb726e038ba174990eb4138245680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78eeb726e038ba174990eb4138245680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1faa60a3065f78a63d8be6d4607ed5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-11-17更新
|
876次组卷
|
2卷引用:上海市曹杨第二中学2023-2024学年高二上学期期中数学试题
名校
解题方法
3 . 已知数列
,若对于任意正整数n,
仍为数列
中的项,则称数列
为“回归数列”.
(1)已知
,判断数列
是否为“回归数列”,并说明理由;
(2)若数列
为“回归数列”,且对于任意正整数n,均有
成立,证明:数列
为等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0f19bd1a86a8afc3ee490101ca6988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3234c284ab8de4d566290e20fdc50900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3054785bacfe0537831c337f57ab92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
解题方法
4 . 已知数列
的前
项和为
,数列
为等差数列,
.
(1)求
的通项公式;
(2)记
,其中
表示不小于
的最小整数,如
,求数列
的前2023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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69520249567d3e38a683af24e61893c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d08f31fde6cb6d7bc628709263770e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc1cd2c9dc9fa88fe26579ecd99e5a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
5 . 设
是正整数,如果存在非负整数
使得
,则称
是
好数,否则称
是
坏数.例如:
,所以2是
好数.
(1)分别判断
是否为
好数;
(2)若
是偶数且是
好数,求证:
是
好数,且
是
好数;
(3)求最少的
坏数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3e9eb0c4bd9c899886668229c4c947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f926787912ab3b608ab631821c5edb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13bae21b1ed66af11d8e79fca68969ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93e3391890fc877c761121b68cb927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93e3391890fc877c761121b68cb927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbbe31b06cbf700d55a3b7b23b16c8ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2837786afdd7b9b8bc37823040d7dd64.png)
(1)分别判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01922b842f6a0f56a49ddf6e02860e01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4815b8b7203fb465809b395153ea3340.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93e3391890fc877c761121b68cb927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0d553db3c201b986582e86c52d402b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c46af2ff5b39b2e20c17f15cbdf5ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93e3391890fc877c761121b68cb927.png)
(3)求最少的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d261dc1ce8dcbd2bb899cf45837291b5.png)
您最近一年使用:0次
6 . 已知
:
为有穷数列.若对任意的
,都有
(规定
),则称
具有性质
.设
.
(1)判断数列
:1,0.1,-0.2,0.5,
:1,2,0.7,1.2,2是否具有性质P?若具有性质P,写出对应的集合
;
(2)若
具有性质
,证明:
;
(3)给定正整数
,对所有具有性质
的数列
,求
中元素个数的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a7c438854813f2ed9f8a1c60b35eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8ef78cc882ed9f321064e44b7f257c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7e9edf6d0468e0f8ca78b8bac63bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b740bc48c9718a294c11a1485fd14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46614bf79e50b81f49c1366de9799ba.png)
(1)判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e47cd514b2920609e3781c87df6ab70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5002f030017f6f0b34a61b2e15c5a9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e47cd514b2920609e3781c87df6ab70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed1adc648cc7d8fe7ac43df4b918f11.png)
(3)给定正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2023-11-02更新
|
493次组卷
|
2卷引用:北京一零一中2023-2024学年高二上学期期中考试数学试题
名校
解题方法
7 . 数列
:
,
,…,
满足:
,
,
或1(
,2,…,
),对任意i,j,都存在s,t,使得
,其中
且两两不相等.
(1)若
,直接写出下列三个数列中所有符合题目条件的数列的序号:
①1,1,1,2,2,2;②1,1,1,1,2,2,2,2;③1,1,1,1,1,2,2,2,2
(2)记
,若
,证明:
;
(3)若
,求n的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.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/d8dc3192c861a4cc44da88f656ae7aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564e60383b05d2e0ee94a733742ae424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/631c6879b8799ed0f1aefbf28bf988f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c4d0383577207858e39b4b19b0853e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/631c70b687b22d032d1cc5050cfc07dc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
①1,1,1,2,2,2;②1,1,1,1,2,2,2,2;③1,1,1,1,1,2,2,2,2
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb1eff85b93cd753c2a3a4fb9603221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743b4f6fde34464397b010cb45eabb7d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3afa6e51b3b27c3edb330cd7f190b6cf.png)
您最近一年使用:0次
2023-08-05更新
|
738次组卷
|
5卷引用:北京市海淀区清华大学附属中学2022-2023学年高二上学期期中考试数学试题
名校
解题方法
8 . 定义:若对任意正整数
,数列
的前
项和
都是整数的完全平方数,则称数列
为“完全平方数列”.
(1)若数列
满足
,判断
为是否为“完全平方数列”;
(2)若数列
的前
项和
(
是正整数),那么是否存在
,使数列
为“完全平方数列”?若存在,求出
的值;若不存在,请说明理由;
(3)试求出所有为“完全平方数列”的等差数列的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e95905e3f5d8dc67f74b44febb07353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](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/c8af66591a4140c35b3a9f01c9530d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ee9273cc82d57d99a21fb9c4953d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)试求出所有为“完全平方数列”的等差数列的通项公式.
您最近一年使用:0次
2023-07-21更新
|
331次组卷
|
4卷引用:江西省吉安市双校联盟2022-2023学年高二下学期期中考试数学试题
江西省吉安市双校联盟2022-2023学年高二下学期期中考试数学试题北京市怀柔区2022-2023学年高二下学期期末考试数学试题【北京专用】专题01数列(第一部分)-高二上学期名校期末好题汇编(已下线)专题02 等比数列4种常考题型归类【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(北京专用)
名校
解题方法
9 . 若数列
:
,
,
,
满足:对任意
,均有
成立,则称数列
为“
数列”.
(1)直接判断下面三个数列是否是“
数列”;①
:
,
,
,
;②
:
,
,
,
;③
:
,
,
,
;
(2)若“
数列”
:
,
,
,
满足
,证明:数列
是等差数列的充分不必要条件是
;
(3)求
的取值范围,使得存在非零实数
,对任意正整数
,数列
:
,
,
,
,
恒为“
数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937c09d82c480e4d67f8a48d3f66c5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b097651ff5fe206a43078269d005f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb81d8ef8d1d8a4d76ec37fa0afe3389.png)
(1)直接判断下面三个数列是否是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb81d8ef8d1d8a4d76ec37fa0afe3389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08be9681cf2689ffe4049c6dbb7b171f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c84e4232efa5f53727fa684117683c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c767ac27824662a6827bd3462575bbcf.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91022b25fa06ed1fa23a858582c5d689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e0e4d6f2921ff7bc5b55f0b20de376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d992261a422fcddad6ccb3798c77ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb81d8ef8d1d8a4d76ec37fa0afe3389.png)
您最近一年使用:0次
名校
10 . 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/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9614fd0d2bf8879419688c61740aa6db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1bd1147d3076ee020d6af6c4cc3eaa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e29bd049abe99a160df21dc454a98407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab2bc6233abc2fd623bd59ee7f6d728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf1ec142aee1bd8b3fe42687b346b462.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a99014a21a720b22965483086d8a6c.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/cb8ddb5de82102248e3c45285ad7761a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
您最近一年使用:0次