1 . 对于正整数n,设
是关于x的方程:
的实根,记
,其中
表示不超过x的最大整数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
______ ;若
,
为
的前n项和,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4b5a382f920203b9ef307224ae641e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7008315ab605ceea15b5bef79f08cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c84fb3e536f74961243c6b89ddcee09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd05807100733d214d1f44170f572569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4b5a382f920203b9ef307224ae641e.png)
您最近一年使用:0次
2022-03-06更新
|
1162次组卷
|
8卷引用:思想04 化归与转化思想(练)--第三篇 思想方法篇-《2022年高考数学二轮复习讲练测(浙江专用)》
(已下线)思想04 化归与转化思想(练)--第三篇 思想方法篇-《2022年高考数学二轮复习讲练测(浙江专用)》(已下线)思想04 化归与转化思想(练)--第三篇 思想方法篇-《2022年高考数学二轮复习讲练测(新高考·全国卷)》(已下线)第1题 高斯函数与数列最值结合(压轴小题6月)(已下线)【练】专题10 数列与其它知识的交汇问题黑龙江省哈尔滨市第三中学2021-2022学年高三第一次模拟数学(理科)试题福建省永春第一中学2022-2023学年高二上学期期末考试数学试题山东省青岛市青岛第二中学2022-2023学年高二上学期期末数学试题(已下线)期末真题必刷压轴60题(22个考点专练)-【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)
2 . 在不大于
的正整数中,所有既不能被2整除也不能被3整除的个数记为
.
(1)求
,
的值;
(2)对于
,
,是否存在m,n,p,使得
?若存在,求出m,n,p的值;若不存在,请说明理由;
(3)记
表示不超过
的最大整数,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc1e9444e6cbbcccfb19bef934fda45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c581f06adc031bd163f98c461300d862.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0f3595c506dd94a3399da87f0b33ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985ea7ad3004613e28dd691829437c11.png)
(2)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5510ef06b326f131933224473550d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf45fc1d20ec9adb3b25794ac938855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80b43936d042aae836465212e716964.png)
(3)记
![](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/19bbe68c798af91a4f5fbf939c4ed315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3651b3fedba1f0e9998fa88acefd08.png)
您最近一年使用:0次
2024-06-07更新
|
473次组卷
|
3卷引用:情境10 存在性探索命题
3 . 已知数列A:
的各项均为正整数,设集合
,记T的元素个数为
.
(1)若数列A:1,2,4,3,求集合T,并写出
的值;
(2)若A是递增数列,求证:“
”的充要条件是“A为等差数列”;
(3)若
,数列A由
这
个数组成,且这
个数在数列A中每个至少出现一次,求
的取值个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341148b74364c392ae38dd5a26cd9d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f491a8e9ecacc5cbd90155154d9adf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ff5cb5a9d88ed7db2c06683c3e355.png)
(1)若数列A:1,2,4,3,求集合T,并写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ff5cb5a9d88ed7db2c06683c3e355.png)
(2)若A是递增数列,求证:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3197c615558fee3993d2a8deb9091f0a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c708779abd03bff972ca72ed5a9453e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a1963f19675193bd3f24c5404b69db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ff5cb5a9d88ed7db2c06683c3e355.png)
您最近一年使用:0次
2021-04-07更新
|
1507次组卷
|
9卷引用:北京卷专题18数列(解答题)
名校
4 . 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
的子列.
注:从
中选取第
项、第
项、…、第
项(
)形成的新数列
称为
的一个子列.
(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
的值;
(3)求证
.
![](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/6ae8297742318e91be10074c89f212bc.png)
条件②:从集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8297742318e91be10074c89f212bc.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/68c6d8698bc7a9af6c0e9e2b7fb8b240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02034a7c04920a212f7974cd64dde9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823953737f36a700af348506ee8c678b.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/2dc0c923d538857536c1d74635147369.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
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c118e992e32545ff658a95c284165cd.png)
(3)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db133f4329ff1231e7cd04148651d48b.png)
您最近一年使用:0次
2023-08-02更新
|
442次组卷
|
2卷引用:【北京专用】专题03数列(第三部分)-高二上学期名校期末好题汇编
名校
解题方法
5 . 在无穷数列
中,
,对于任意
,都有
,
.设
,记使得
成立的n的最大值为
.
(1)设数列
为
,写出
,
,
,
的值;
(2)若
为等差数列,求出所有可能的数列
;
(3)设
,
,求
的值.(用p,q,A表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b270a87d8e670809520e33c85bc3899a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a5945ce5c2114af8c18718ca8dc899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f29c06a3e9a73e905eb87d71efa201c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19db2869aeaf97debfa2e2f9a4843a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64696f60c533ad95dc7890eb902741.png)
(1)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd2e9fa110dfaaeb7105910008e0551.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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e2d10a44a59e7f9f040c1750611855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153dea9219e2e63af7bf504f2bba2d9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1069c8dcd25a6f743a758606bd296d7.png)
您最近一年使用:0次
2023-05-05更新
|
492次组卷
|
3卷引用:北京市第四中学2024届高三上学期10月月考数学试题变式题16-21
(已下线)北京市第四中学2024届高三上学期10月月考数学试题变式题16-21北京市一零一中学2022-2023学年高二下学期期中考试数学试题北京市海淀区北京一零一中2023-2024学年高二下学期期中考试数学试题
名校
解题方法
6 . 对于正整数n,设
是关于x的方程
的实数根.记
,其中
表示不超过x的最大整数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
____________ ;设数列
的前n项和为
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/469a49d15c634c79d8e36cb6edaff624.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2147cdb7c47327b9a8e3274df089aec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c84fb3e536f74961243c6b89ddcee09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.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/469a49d15c634c79d8e36cb6edaff624.png)
您最近一年使用:0次
2020-08-12更新
|
1973次组卷
|
6卷引用:数列新定义
7 . 若数列
满足对任意
,数列
的前
项至少有
项大于
,且
,则称数列
具有性质
.若存在具有性质
的数列
,使得其前n项和
恒成立,则整数
的最小值是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4a1fb2354b4716afb9191c880fcc11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceef1abeeef220b4fe5f7d96feedd90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a400b5443af7580aa8f0fb7499fe362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e040f089ea13dbd9d9133d6934537f32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e040f089ea13dbd9d9133d6934537f32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be2256f1cda4db7aa1e92b7372ee8ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
8 . 设
为常数,若存在大于1的整数
,使得无穷数列
满足
,则称数列
为“
数列”.
(1)设
,
,若首项为1的数列
为“
数列”,求
;
(2)若首项为1的等比数列
为“
数列”,求数列
的通项公式,并指出相应的
的值;
(3)设
,
,若首项为1的数列
为“
数列”,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf1ad6f30c018f9dbd4a93143cb1d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae75c507b1c84872977eb5cac1c03562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03b007be99a17613246b5ea1ff86d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608573102f4d2fe1eb1042dd6cbf3ccc.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f2572192cc7ca046e9a3155ef3e56a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b711804687540cdcfc5d2c2b42378b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a745d156e6cb715ac319221daffb7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea00d10c496ccacb5b25c9574d6cdb09.png)
(2)若首项为1的等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608573102f4d2fe1eb1042dd6cbf3ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8783712c637f7005eb65170f740606c.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3012337aa392709349731fb1eef5b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9b6c86435e0ceff94d8ad1cd03737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c137cc1451c11cb57e60106d8844e6b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e7351b8037c517ab7980979323fa02c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf4fc1fcae464966e10b3578e650cee.png)
您最近一年使用:0次
9 . 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
10 . 已知各项均为整数的数列![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad107fc0e55e4b35b2b25b10f75f4e6.png)
.满足
,且对任意
,都有
.记
.
(1)若
,写出一个符合要求的
;
(2)证明:数列
中存在
使得
;
(3)若
是
的整数倍,证明:数列
中存在
使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad107fc0e55e4b35b2b25b10f75f4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0ed3f2a79403d4ca1cf2f9def5ae31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e557ad17fa38ac6b1f55e6ad6ec3c31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c906536bb830afee02111d791983e06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b389b37b65b78e0242245f67b5f2dc82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6735b270c7b4dbf195e1834d745e3dd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f762938f5c78eb72bafbb13bf85cba1.png)
(2)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0818b44478f6d1d972aa5bf6dd4d3a0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433eaf536c1fed0f48f4af7b595a2af4.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d76da8e15e302756b4d2e7e24906ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0818b44478f6d1d972aa5bf6dd4d3a0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5566b1d828acdac47fe50216d247cfac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cc91f55eeaa0330a9586ee73912466.png)
您最近一年使用:0次
2021-05-07更新
|
1192次组卷
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9卷引用:【北京专用】专题03数列(第三部分)-高二上学期名校期末好题汇编
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