1 . 已知数列
:
的各项均为正整数,设集合
,记
的元素个数为
.
(1)若数列
:
,且
,
,求数列
和集合
;
(2)若
是递增的等差数列,求
的值(用
表示),并说明理由;
(3)请你判断
是否存在最大值,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9ef2e730239fb441c867d6ab4d9b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f05a921b593d6e1bedfd6c28b60f2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a318eb5a4da016d3d993175e845a90ab.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ab8cdaf36beae93dd45c27981cb75f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc668d959b811bef55a1e672eb1dcec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f255d89ed61b51eb161d74e518b9a763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a318eb5a4da016d3d993175e845a90ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(3)请你判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a318eb5a4da016d3d993175e845a90ab.png)
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2 . 我们称各项均不相等的正项数列
为“冒泡数列”,对任意冒泡数列,我们按如下步骤进行操作,称为“冒泡操作”
比较
的大小,若
,则交换
的位置;
设前述所有步骤后数列变为
,比较
的大小,若
,则交换
的位置,再继续比较
的大小,若
,再交换
;
设前述所有步骤后数列变为
,比较
的大小,若
,则交换
的位置,再继续比较
的大小,
,直到比较得到
时或者
调整位置至首位时停止比较和交换位置,并进行下一步;
设前述所有步骤后数列变为
,比较
的大小,若
,则交换
的位置,再继续比较
的大小,…,直到比较得到
或者
调整位置至首位时结束操作.
(1)请对数列
5,3,2,9,7作冒泡操作,可表示为
请写出操作结束后得到的数列,并计算交换位置的次数.
(2)对于某个
项冒泡数列
当其完成冒泡操作时的总的交换位置的次数称为其“交换复杂度”,记为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a802b2e8db56dfb2f367fbbd9c4fe0f.png)
(i)求
的最小值和最大值;
(ii)对于某个
项冒泡数列
及其各项全排列产生的所有不同数列,其交换复杂度的平均数记为
,求
的通项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8e9680996fdd9e3a40f62d810e92e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa559d2ca921738d0c6c51f3a036880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0158862238e250d2a2598b7d4ecd148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ade3a1d01605706801e238726e55fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0158862238e250d2a2598b7d4ecd148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0cfe1386cf3dae99d19bf57895c9f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a25a0b38f47e113fd4dd76832de690a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32fee2a3f8c67509707271a3f266a8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8784badc8cc600bef381da22d1c628d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32fee2a3f8c67509707271a3f266a8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0525db7ca68c21dfe7a1c4b543b4bee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9017d3641140e0692048ddbab24d1d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0525db7ca68c21dfe7a1c4b543b4bee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5356eacad97dae1c7e865903171245ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee15a08d7dc7c77ea81607b1f214c092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ebefe3e26bef1c8422bfe5a472e0d4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bc971d069730aa97e8734fc884e3ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ebefe3e26bef1c8422bfe5a472e0d4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/240e1ed0392e64705738776ff88b1623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0d398803d6a57b99fbb7994edc767b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b8d5b6045219ea4527202ab131bb2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ed3a0a9f46932f86611d64711d81c7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cace8ff9678eca7c3386f280c4ed8c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a67cfcf87e8b88246d7c8e101041bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0be03feff9bfb3b2f45a34b6fc2578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a67cfcf87e8b88246d7c8e101041bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d151f7e01f394c4547e8065de1adb689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5aeba46b164eea610a02251cdbfba03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(1)请对数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569675dd7b2aca2732324f4bea5c02e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acd875285006bca9792d6ffbea60191.png)
(2)对于某个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be66b629b36c5fe55ff234ad59bffff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a802b2e8db56dfb2f367fbbd9c4fe0f.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94511620a0ee01ebcc8ac2f3a47ac87d.png)
(ii)对于某个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de53713b20a2f956c2590ce71fb69c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de53713b20a2f956c2590ce71fb69c37.png)
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名校
3 . 已知数列
的通项为
,前
项和为
,则下列选项中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.如果![]() ![]() ![]() ![]() |
B.如果![]() ![]() ![]() ![]() |
C.如果![]() ![]() ![]() ![]() |
D.如果![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-05-21更新
|
958次组卷
|
3卷引用:湖南省长沙市第一中学2024届高三下学期模拟试卷(二)数学试题
名校
解题方法
4 . 对于无穷数列
,若对任意
,且
,存在
,使得
成立,则称
为“
数列”.
(1)若数列
的通项公式为
,试判断数列
是否为“
数列”,并说明理由;
(2)已知数列
为等差数列,
①若
是“
数列”,
,且
,求
所有可能的取值;
②若对任意
,存在
,使得
成立,求证:数列
为“
数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ab0309e2cd35585ea9fb2cc3017abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7786cd7a179f4d9adb81b0bbd13485f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d9712c3b25f3030e166e136d3a4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/542b4acf7b25b750fbe7205fd179b978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efed6061ac46ad56f61e596e88e8d869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ab0309e2cd35585ea9fb2cc3017abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fef6975d285cabcf6be67c78f30d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb41948118744275de8e4d71097ba56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a443e3315a7fb6489b01fad7e3215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
②若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70469e98fac97c6ee6232983901b53fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd9e8029362a48c6e2bbcf74d78e321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110311b55d3b8073e0da21096fa91f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
您最近一年使用:0次
2024-03-13更新
|
1210次组卷
|
4卷引用:湖南省长沙市雅礼中学2024届高三下学期月考(七)数学试题
名校
5 . 设数列
.如果对小于
的每个正整数
都有
.则称
是数列
的一个“
时刻”.记
是数列
的所有“
时刻”组成的集合,
的元素个数记为
.
(1)对数列
,写出
的所有元素;
(2)数列
满足
,若
.求数列
的种数.
(3)证明:若数列
满足
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015a7bee56625974965e07a12ca6de18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d74c41e3ceb1f8a750f52ad35d360748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3602c65d605336f2e5c6649387a1580.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09e8aac8f8318905b8a4c861c04209b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09e8aac8f8318905b8a4c861c04209b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04bd29c9b34bde1a6f4d23c52fb959c8.png)
(1)对数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5151dd4d9b8aa5b9591a6f077cf602ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09e8aac8f8318905b8a4c861c04209b.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc05b18bc0665ee8d350b2ea1e72d6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d29599b26072bb8dd6d7b960da8205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fd33ea77eaa27649bdcef49b6def15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)证明:若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587af664e03a6585f4d94b36bb0eec3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9abfc41260e37c0f38720799bfdba.png)
您最近一年使用:0次
2024-03-12更新
|
736次组卷
|
2卷引用:湖南省长沙市第一中学2024届高三下学期高考适应性演练(二)数学试卷
名校
6 . 对于数列
,如果存在正整数
,使得对任意
,都有
,那么数列
就叫做周期数列,
叫做这个数列的周期.若周期数列
满足:存在正整数
,对每一个
,都有
,我们称数列
和
为“同根数列”.
(1)判断数列
是否为周期数列.如果是,写出该数列的周期,如果不是,说明理由;
(2)若
和
是“同根数列”,且周期的最小值分别是
和
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6368fec0c2c25db7c29b014d60270e97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2b94cbf8f1acc77ed2618d9ba5756a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/849916b7bae1da483aa3abceae5c106e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be4254808cd84796e50146dcc6ff08a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612810822d7916c0588ecf4343fc0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
(1)判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd5c8c4612ca729b21c086dcc7b9b12.png)
(2)若
![](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/9f2c1ec3153d6b86778f01cb90027029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f622623393fd96dbbc2b53756dc035c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
解题方法
7 . 已知数列
为有穷正整数数列.若数列A满足如下两个性质,则称数列A为m的k减数列:
①
;
②对于
,使得
的正整数对
有k个.
(1)写出所有4的1减数列;
(2)若存在m的6减数列,证明:
;
(3)若存在2024的k减数列,求k的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281440c5e428da28c0a40fecbb87a83a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed25314606b875ae6cdfa2d073c73c85.png)
②对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937c09d82c480e4d67f8a48d3f66c5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7ae1214cc78e72fb613d7e649bc27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b3392579424244c50ddf416ee3434d.png)
(1)写出所有4的1减数列;
(2)若存在m的6减数列,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f409ce4e6aa8638fe5880009dbb732f7.png)
(3)若存在2024的k减数列,求k的最大值.
您最近一年使用:0次
2024-01-25更新
|
3791次组卷
|
9卷引用:湖南省长沙市雅礼中学2024届高三下学期数学月考试卷(八)
湖南省长沙市雅礼中学2024届高三下学期数学月考试卷(八)北京市通州区2024届高三上学期期末摸底考试数学试题江西省赣州市南康中学2024届高三“九省联考”考后模拟训练数学试题(一)安徽省合肥一六八中学2024届高三“九省联考”考后适应性测试数学试题(二)2024届广东省新改革高三模拟高考预测卷一(九省联考题型)数学试卷(已下线)(新高考新结构)2024年高考数学模拟卷(三)(已下线)信息必刷卷01(已下线)数学(江苏专用01)山东省日照市五莲县第一中学2024届高考模拟预测(一)数学试题
名校
8 . 已知
是
个正整数组成的
行
列的数表,当
时,记
.设
,若
满足如下两个性质:
①
;
②对任意
,存在
,使得
,则称
为
数表.
(1)判断
是否为
数表,并求
的值;
(2)若
数表
满足
,求
中各数之和的最小值;
(3)证明:对任意
数表
,存在
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb9e3bc9630e025a82d66811b3e6441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d7b4bb12628d5ed455d814b8aafa1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944ff5528bc100046aab83f5919b3d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e828d4b2d7580fa04607cf8f14b05de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0d7559d8dfa8236ca9d4b1853fbdec.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d801812018b6aa0f5de382062c117757.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59796b996ee446726b9c61def65cf99d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b105bdb6be37b0f8c3be1c1a477328e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3555d7cfaba51d818d2600c85089ee28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0d7559d8dfa8236ca9d4b1853fbdec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0e4fe02650625b09285e4fcf7e4dc5.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6326460f6bec38cc41124761d15df163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e518eeb07c02795385449a4f29cc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591505c2a0e38da932d32f07e86738d7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e47cd514b2920609e3781c87df6ab70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec03fe13019f0b88d57aeb34cad7441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e47cd514b2920609e3781c87df6ab70.png)
(3)证明:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59639b9c4eadbbfb2f4f2b57d9c4c3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249b92e30f3808f5287db70a9eec6a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91cf9a662222271515ebdef704f76047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22130489fa8821bfcb7b54d5b1748acc.png)
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10卷引用:湖南省长沙市长郡中学2024届高三寒假作业检测(月考六)数学试题
湖南省长沙市长郡中学2024届高三寒假作业检测(月考六)数学试题北京市朝阳区2024届高三上学期期中数学试题2024年普通高等学校招生全国统一考试数学模拟试题(一)(新高考九省联考题型)江苏省南通市新高考2024届高三适应性测试数学模拟试题(已下线)新题型01 新高考新结构二十一大考点汇总-3(已下线)(新高考新结构)2024年高考数学模拟卷(一)(已下线)黄金卷05(2024新题型)江苏省无锡市四校2024届高三下学期期初学期调研数学试卷湖北省黄冈市浠水县第一中学2024届高三下学期第二次模拟考试数学试题广东省广州市广东实验中学2024届高三教学情况测试(一)数学B卷
9 . 设正整数
,其中
.记
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd84530b423399186d90563ecc21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ebad9763e6aaaf80789c53432c5eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c5569209bfd915710696e703a8e1db.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2卷引用:湖南省长沙市第一中学2024届高三上学期月考(二)数学试题
名校
10 . 若数列
中任意连续三项
,
,
,均满足
,则称数列
为跳跃数列.则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b8d5b6045219ea4527202ab131bb2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1474a7ff515722319205a132a75562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69dc2d44dfdb07c42acfb6eb6eec1f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.等比数列:1,![]() ![]() ![]() ![]() |
B.数列![]() ![]() ![]() |
C.等差数列不可能是跳跃数列 |
D.等比数列是跳跃数列的充要条件是该等比数列的公比![]() |
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