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
|
717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(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)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
解题方法
2 . 无穷数列
和
满足:①
②
,记
的前
项积为
,
(1)是否存在
使得
的前四项依次成等差数列?若存在则写出一组这样的
若不存在,则说明理由;
(2)若
,求
的最大值.
![](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/c7ea2707064a888a0b7c30812f80c005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b84b42ecc533c00bdfddbe6434f57b6.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)
(1)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6057d82c4ea2c84e71d3821997ae32d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6057d82c4ea2c84e71d3821997ae32d3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e3577ef49a3177a78392e720ea4a04.png)
您最近一年使用:0次
名校
解题方法
3 . 已知数列
为等差数列,公差为
,前
项和为
.
(1)若
,求
的值;
(2)若首项
中恰有6项在区间
内,求
的范围;
(3)若首项
,公差
,集合
,是否存在一个新数列
,满足①此新数列
不是常数列;②此新数列
中任意一项
;③此新数列
从第二项开始,每一项都等于它的前一项和后一项的调和平均数.若能,请举例说明;若不能,请说明理由.(注:数
叫做数
和数
的调和平均数).
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c2d1a12d12803534db0e52cb194489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c9965a04c2a6de04e949a15762f372.png)
(2)若首项
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79ad1addaf50a6159a55d9d0845a6fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65fee4e27b361e30d76db328b9048b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(3)若首项
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3012337aa392709349731fb1eef5b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85144ca40f64972b8c94652f3926628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6856c966ef5c9461552f681de2c48558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b4dda7369edf57a39cfad583031328a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2023-02-08更新
|
538次组卷
|
2卷引用:上海市交通大学附属中学2022届高三上学期期末数学试题
名校
4 . 已知各项均不为零的数列
的前
项和为
,
,
,
,且
,则
的最大值等于_________ .
![](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/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7fdd606e80f1f7c0a559d259d381c6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1b4a3abe5719814ca6497520b1ba8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5b083c3cf55f65f882796e960f4c3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f422edb72f7e1d5529a5570feb77df.png)
您最近一年使用:0次
2023-02-06更新
|
704次组卷
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4卷引用:上海市行知中学2020-2021学年高二下学期期中数学试题
上海市行知中学2020-2021学年高二下学期期中数学试题(已下线)高二下期中真题精选(压轴40题专练)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)福建省宁德第一中学2020-2021学年高二上学期开学检测数学试题(已下线)期中真题必刷压轴50题专练-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)
5 . 定义圈数列X:
;X为一个非负整数数列,且规定
的下一项为
,记
,这样
的相邻两项可以统一表示为
(
的相邻两项为
,即
;
的相邻两项为
).定义圈数列X做了一次P运算:选取一项
,将圈数列X变为圈数列
:
,即将
减2,相邻两项各加1,其余项不变.并记下标k输出了一次.记X进行过i次P运算后数列为
:
(规定
)
(1)若X:4,0,0,直接写出一组可能的
;
(2)若进行q次P运算后
,有
,此时下标k输出的总次数为
,记
直接写出一组非负实数
,使得
对任意
,都成立,并证明
;
(3)若X:
,0,0,…,0,证明:存在M,当正整数
时,
中至少有一半的项非零.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f214157de400b0b2a1e05537099f923d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87907959756f00396669363cf88eaf08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596afe6f8149e39c53d36a759bee6151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b1c7fa6b6f144a64d74919d10850df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bbd725411153f3633f4890fbfaa660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0894405d04b1d2a5cfad77ff782676fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e749b2d939983c253168c181d1da75b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d21eab854a007f760b8a1c10111bf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa838b409a2f7e7116597f76df30c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221d51ced11c126b1b3e90806fd68ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596afe6f8149e39c53d36a759bee6151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f95e54a9b7c66c97dc6ee6161a25c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0669b68e68a3ae7514cef46c1dfaaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63bde043b466cec4c2edc08e56fc9af9.png)
(1)若X:4,0,0,直接写出一组可能的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b753f542ea6fcf63c231f3408e474421.png)
(2)若进行q次P运算后
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de57e05208fa589f2bf2033d80765d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9123a44524ca34d63b0b70122b0d41ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5a77c83f6b7cb83300b70b09436339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1684f90061da517e8825e791a5a06b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1779444296713b01857e045cdda2d08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6efdcc42efa52de9ab2c7a707c4ad4.png)
(3)若X:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/208575de4f7422c995dd601c54d264d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9cce113f874ea096ee027d0c7d2ad27.png)
您最近一年使用:0次
2022-12-31更新
|
546次组卷
|
4卷引用:北京市北京大学附属中学2022届高三12月月考数学试题
北京市北京大学附属中学2022届高三12月月考数学试题(已下线)2020年高考北京数学高考真题变式题16-21题北京市人大附中2022届高三上学期数学收官考试之期末模拟试题北京市第二中学2023届高三下学期开学测试数学试题
6 . 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
7 . 在无穷数列
中,
,
是给定的正整数,
,
.
(1)若
,
,写出
,
,
的值;
(2)证明:存在
,当
时,数列
中的项呈周期变化;
(3)若
,
的最大公约数是
,证明数列
中必有无穷多项为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d04a8b7a7595251251b8e0b7e665e8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5453ec6a9e8b96357c888ea863ddcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb9cce535c2a1e74ca53ffda6a74f08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3ede255fecf6aba650c90309d62670.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfec53e7ec3a3ba1c82a5c41e87fd258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7f83381978ab0c8f4714bab33c875dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/164c49a0a9d3f6e67c9a59393d5b68a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90d3b3bbc187e571ebd740190200b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879f722d685a282c1ce2d0ad4f4e5cba.png)
(2)证明:存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17e3e3e11d5dc0724cd60e81875da73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40aac3b8bed3f6e9b79a1f7c0ff6c830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d04a8b7a7595251251b8e0b7e665e8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5453ec6a9e8b96357c888ea863ddcf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15befbdad977723a86194979c675ee5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15befbdad977723a86194979c675ee5d.png)
您最近一年使用:0次
名校
解题方法
8 . 对于有限数列
,
,
,
,定义:对于任意的
,
,有:
(i )
;
(ii )对于
,记
.对于
,若存在非零常数
,使得
,则称常数
为数列
的
阶
系数.
(1)设数列
的通项公式为
,计算
,并判断2是否为数列的4阶
系数;
(2)设数列
的通项公式为
,且数列
的
阶
系数为3,求
的值;
(3)设数列
为等差数列,满足-1,2均为数列
的
阶
系数,且
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddcdb2da504ba468d10e26134b46327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d7da87286b3dd83f0e7d4e5b496eac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c70fdfa2d88876d54feb6d890204e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5d5bdce735c2dbe4bc07727c119459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf5776ec7059c208daf01ca48a34915.png)
(i )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8329865917b8a177cafbba3c80ee1563.png)
(ii )对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686b332872c51b433befe65fbe773380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4632dd98afcce0d49f5f4b438dab024d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf5776ec7059c208daf01ca48a34915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da493db80b421a09904f1aea6a8576a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(1)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a89d99d11a58a2e6ac83d0d6d2a5119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18841a2d420196560e6d4df505cc4063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb42a8b2956bcbdc702f2675862405b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设数列
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8040c494c55340314d0681aaa5a0cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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14卷引用:北京市昌平区2021届高三二模数学试题
北京市昌平区2021届高三二模数学试题北京市顺义区第一中学2022届高三10月月考数学试题上海市实验学校2022届高三下学期开学考试数学试题北京市一六一中学2022届高三2月自主测试数学试题北京市2022届高三普通高等学校招生全国统一考试数学模拟试题北京市西城区第一六一中2021-2022学年高三下学期开学数学试题北京市海淀区首都师范大学附属中学2023届高三下学期2月阶段性质量检测数学试题(已下线)4.3.2.2 等比数列的前n项和的性质及应用(练习)-2022-2023学年高二数学同步精品课堂(人教A版2019选择性必修第二册)北京卷专题18数列(解答题)北京市一六一中学2022届高三下学期开学考数学试题北京市第五十五中学2023-2024学年高二上学期期中调研数学试题(已下线)专题03 条件存在型【讲】【北京版】2(已下线)4.2 等比数列(第2课时)(六大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)北京理工大学附属中学2023-2024学年高二下学期期中考试数学试卷
9 . 设正整数
,其中
,记
,则( )
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a406d53fd6ffd9ee6cd914f5e2b0a9bb.png)
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A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 已知数列
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3819d72974cc2440af9a448e5076246a.png)
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A.对任意的![]() ![]() ![]() |
B.对任意的![]() ![]() ![]() |
C.对任意的![]() ![]() ![]() |
D.对任意的![]() ![]() ![]() |
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5卷引用:浙江省绍兴市诸暨市海亮高级中学2021-2022学年高三上学期12月选考数学试题
浙江省绍兴市诸暨市海亮高级中学2021-2022学年高三上学期12月选考数学试题浙江省绍兴市诸暨市海亮高级中学2022届高三下学期高考前最后一卷数学试题(已下线)专题6-1 数列函数性质与不等式放缩(讲+练)-2(已下线)专题9 周期数列 微点2 周期数列的“脸谱”识别(已下线)第4章 数列 章末题型归纳总结(3)