1 . 已知数列
为等差数列,
是公比为
的等比数列,且
.
(1)证明:
;
(2)若集合
,求集合
中的元素个数.
![](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/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac9afe4a0003784c2903f6ebe64c66e5.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fe0f4e8a80a2840c0f6929a8a6351b.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a83514cbad79d9258fc02380ee9c25d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2023高三·全国·专题练习
名校
2 . 某工厂在2020年的“减员增效”中对部分人员实行分流,规定分流人员第一年可以到原单位领取工资的100%,从第二年起,以后每年只能在原单位按上一年工资的
领取工资.该厂根据分流人员的技术特长,计划创办新的经济实体,该经济实体预计第一年属投资阶段,第二年每人可获得b元收入,从第三年起每人每年的收入可在上一年的基础上递增50%,如果某人分流前工资收入为每年a元,分流后进入新经济实体,第n年的收入为
元.
(1)求
的通项公式.
(2)当
时,这个人哪一年的收入最少?最少为多少?
(3)当
时,是否一定可以保证这个人分流一年后的收入永远超过分流前的年收入?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79603776096637cd90ac01cb6909f13.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530576c6fc8dd10f44210c2033411187.png)
您最近一年使用:0次
2023-07-04更新
|
858次组卷
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9卷引用:上海交通大学附属中学2024届高三上学期10月月考数学试题
上海交通大学附属中学2024届高三上学期10月月考数学试题(已下线)专题19 数列应用题的解法 微点1 数列应用题的解法山东省菏泽市菏泽三中2024届高三上学期12月月考数学试题江西省清江中学2022-2023学年高二下学期6月期末数学试题(已下线)模块一 专题5 等差数列与等比数列 期末终极研习室(2023-2024学年第一学期)高二人教A版(已下线)1.4 数列在日常经济生活中的应用4种常见考法归类-【帮课堂】2023-2024学年高二数学同步学与练(北师大版2019选择性必修第二册)(已下线)模块一专题3 数列的实际应用和综合问题【讲】高二下人教B版(已下线)模块一 专题4 数列的实际应用和综合问题【讲】高二下北师大版(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)
3 . 已知数列
和
,其中
,
,数列
的前
项和为
.
(1)若
,求
;
(2)若
是各项为正的等比数列,
,求数列
和
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e191086446263b7bbbd93613577c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c394d7bd6be49f089aa78d2d4fd0a9cc.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/9260f8989cfd0ffca5a49ffbc0668f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada05c48a91b63f82041eb7a94c10100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
您最近一年使用:0次
2022-11-06更新
|
2619次组卷
|
11卷引用:上海市奉贤区2022届高三下学期二模数学试题
上海市奉贤区2022届高三下学期二模数学试题(已下线)专题25 等比数列及其前n项和(已下线)模块九 数列-2(已下线)专题25 等比数列及其前n项和-4广东省汕头市2024届高三第一次模拟考试数学试题(已下线)专题06数列必考题型分类训练-3(已下线)4.3.3 等比数列的前n项和-2022-2023学年高二数学《基础·重点·难点 》全面题型高分突破(苏教版2019选择性必修第一册)江西省宜春市上高二中2024届高三上学期11月月考数学试题(已下线)模块三 专题7 大题分类练(数列)拔高能力练 期末终极研习室(高二人教A版)(已下线)专题04 等比数列(十六大题型+过关检测专训)(3)广东省潮州市饶平县第二中学2023-2024学年高二下学期第一次月考数学试题
名校
解题方法
4 . 已知数列1,1,2,1,2,4,1,2,4,8,1,2,4,8,16…,设N为项数,求满足条件“
且该数列前N项和为2的整数幂”的最小整数N的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4786505399b1add8e1f6ac5cd15ca1a6.png)
A.110 | B.220 | C.330 | D.440 |
您最近一年使用:0次
2022-10-19更新
|
935次组卷
|
3卷引用:上海市延安中学2023届高三上学期10月月考数学试题
名校
解题方法
5 . 已知数列
的前n项和为
,数列
满足
,
.
(1)证明
是等差数列;
(2)是否存在常数a、b,使得对一切正整数n都有
成立.若存在,求出a、b的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa56a61a142de0fa44bce58ab07a3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499b4ab23284486683f152df5bc295fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1bef6ef8aa7c0932585b18e205d8147.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)是否存在常数a、b,使得对一切正整数n都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa9683815c31e9d569c2848ba3e7c9b1.png)
您最近一年使用:0次
2022-09-13更新
|
1906次组卷
|
10卷引用:上海市格致中学2023届高三上学期开学考试数学试题
上海市格致中学2023届高三上学期开学考试数学试题上海市交通大学附属中学2024届高三上学期开学考数学试题广东省佛山市顺德区华侨中学2024届高三港澳班上学期期中数学试题(已下线)考点7 等差、等比数列的联姻 2024届高考数学考点总动员吉林省“BEST合作体”2022-2023学年高二上学期期末考试数学试题吉林省长春市实验中学2022-2023学年高二下学期期初考试数学试题江苏省盐城市伍佑中学2022-2023学年高二上学期12月月考数学试题(已下线)模块三 专题7 大题分类练(数列)拔高能力练 期末终极研习室(高二人教A版)(已下线)第05讲:等差数列和等比数列(必刷12大考题+12大题型)-2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)(已下线)专题06 数列在高考中的考法(难点,十一大题型+过关检测专训)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)
20-21高三下·上海浦东新·开学考试
名校
6 . 设等差数列
的公差为
,且
,若设
是从
开始的前
项数列的和,即
(
,
),
(
),如此下去,其中数列
是从第
(
)开始到第
(
)项为止的数列的和,即
(
,
).
(1)若数列
(
,
),试找出一组满足条件的
、
、
,使得:
;
(2)试证明对于数列
(
),一定可通过适当的划分,使所得的数列
中的各数都为平方数;
(3)若等差数列
中
,
,试探索该数列中是否存在无穷整数数列
(
),
,使得
为等比数列,如存在,就求出数列
;如不存在,则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed47d7adb987d1b8a09eb7916b5df736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedf14667dee4e314edafb7b9ee1c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c712eb92d59690142074ad3a5506260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c450c252716acec1614ed7fdc88527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83fd8c2034d8006c3b3189d88a3b9bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691a9cca1f5615b264e5753184d46530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28fc739eafa04616239443b3756c0cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b590fa4f9abc64845e88da1dac2474f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa79b3013eea4df7c2db80b3a936902e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90c998886b1483221a5b4941f6e874c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/777ba68a8bcd9801bac28930645512de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b320fc7cf9e9027b6435a34c1bf31564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2b1e6d79cfa497903d69c43acf8a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a56cc4f5be6b50145fc30e15abb3e4a.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c1ed7b10ac7ca1cd81cdd39a8fcc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e4495f687884e309e0ce8a1b9c39be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32efe4eff75508cb93e828c735dcb695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7737fba2ccf2eaaffcf10a01f6ba9ef1.png)
(2)试证明对于数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c1ed7b10ac7ca1cd81cdd39a8fcc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444b973a18cd8f31d62e2c1868bb6a08.png)
(3)若等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1344592c925b273f2cb9b9e47ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7375f2b2acc8ffddece91deb6e68a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4870990e9d5da4a12a64b02015745522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444b973a18cd8f31d62e2c1868bb6a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444b973a18cd8f31d62e2c1868bb6a08.png)
您最近一年使用:0次
名校
解题方法
7 . 设数列
的前
项和为
.若
,则称
是“紧密数列”.
(1)已知数列
是“紧密数列”,其前5项依次为
,求
的取值范围;
(2)若数列
的前
项和为
,判断
是否是“紧密数列”,并说明理由;
(3)设数列
是公比为
的等比数列.若数列
与
都是“紧密数列”,求
的取值范围.
![](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/081e1a693f6dce4dc673eb6d3587bf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd55a989f05d965c235be4eddcbf214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若数列
![](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/3d10c289b0d44d448d3706682dbc7ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次
2023-03-06更新
|
787次组卷
|
14卷引用:上海市崇明区2018届高三4月模拟考试(二模)数学试题
上海市崇明区2018届高三4月模拟考试(二模)数学试题(已下线)上海华东师范大学第二附属中学2019届高三数学考试试卷(10月)上海市南汇中学2022届高三上学期期中数学试题上海市长宁区2018-2019学年高二上学期期末数学试题上海市进才中学2021-2022学年高二上学期9月月考数学试题上海市民办南模中学2021-2022学年高二下学期开学考数学试题上海市洋泾中学2022-2023学年高二上学期10月质量检测数学试题上海市松江二中2022-2023学年高二上学期期中数学试题上海市南汇中学2022-2023学年高二上学期期末数学试题(已下线)核心考点06数列-【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)上海市七宝中学2023-2024学年高二下学期3月月考数学试题沪教版(2020) 选修第一册 单元训练 期末测试广东省佛山市南海区南执高级中学2023-2024学年高一下学期第一阶段测数学试题(已下线)模块三 专题2 新定义专练【高二下人教B版】
解题方法
8 . 若对于数列
中的任意两项
、![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb853c35a7d17396aa032e33505002f0.png)
,在
中都存在一项
,使得
,则称数列
为“X数列”;若对于数列
中的任意一项
,在
中都存在两项
、
,使得
,则称数列
为“Y数列”.
(1)若数列
为首项为1公差也为1的等差数列,判断数列
是否为“X数列”,并说明理由;
(2)若数列
的前
项和
,求证:数列
为“Y数列”;
(3)若数列
为各项均为正数的递增数列,且既为“X数列”,又为“Y数列”,求证:
成等比数列.
![](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/bb853c35a7d17396aa032e33505002f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02302e731ae1dffbd10f35dafbd7ead7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ae1522a36768618f7ddaf74abbb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/335dbc571a49661cd31aa5bf7b6711f3.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/b7a127ba8c11a680f4b20a5247a267fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320a846492507b821b2acf253efb1bf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba416fcb7bef65a442a54799f37ba31.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/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](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/e5fe6431368a4c3f3d0af8d235cf1184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dbd8161ef1a731dabbcd774390b67ac.png)
您最近一年使用:0次
9 . 在某两个正数
,
之间,若插入一个正数
,使
,
,
成等比数列;若插入两个数
,
,使
,
,
,
成等差数列,试比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc997a4317a3b64369178b27abc44b95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c550b9a7b40513a8f0af9d9ad1978ddb.png)
您最近一年使用:0次
10 . 已知等比数列
的首项
,数列
前
项和记为
.
(1)若
,求等比数列
的公比
;
(2)数列
前
项积记为
,在(1)的条件下判断
与
的大小,并求
为何值时,
取得最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e03cef5974ebfe9072f704c76f7f0b.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)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eafa9c1774dfbd599d5871ae4efb585c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)数列
![](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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c991692d281ea8c2fda692113809f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f99eb2934ccfb01ea9041053350190f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2020-04-18更新
|
410次组卷
|
2卷引用:上海市行知中学2024届高三上学期开学考数学试题