名校
解题方法
1 . 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
|
788次组卷
|
14卷引用:上海市进才中学2021-2022学年高二上学期9月月考数学试题
上海市进才中学2021-2022学年高二上学期9月月考数学试题上海市南汇中学2022届高三上学期期中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)上海市长宁区2018-2019学年高二上学期期末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沪教版(2020) 选修第一册 单元训练 期末测试上海市洋泾中学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】
20-21高三下·上海浦东新·开学考试
名校
2 . 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
3 . 已知集合
,
,将
中所有元素按从小到大的顺序排列构成数列
,设数列
的前n项和为
.
(1)若
,求m的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48dce1bb61745646feb22b0b02ff495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8bcb4837dff168ffe36d82933fb261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.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/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89dda43a251d13dba5ab27174d6ca49.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34a901aa78366ac960f5f4e7f1fcbac.png)
您最近一年使用:0次
2021-02-07更新
|
1916次组卷
|
7卷引用:江苏省南通市通州区、启东市2020-2021学年高三上学期期末数学试题
江苏省南通市通州区、启东市2020-2021学年高三上学期期末数学试题福建省福州市第一中学2021届高三适应性练习(一)数学试题(已下线)2021年秋季高三数学开学摸底考试卷02(江苏专用)广东省揭阳市揭西县河婆中学2022届高三下学期综合测试(二)数学试题湖南省长沙市麓山国际实验学校2022-2023学年高三上学期入学考试数学试题(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)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)
名校
4 . 若数列
对任意连续三项
,均有
,则称该数列为“跳跃数列”.
(1)判断下列两个数列是否是跳跃数列:
① 等差数列:
;
② 等比数列:
;
(2)跳跃数列
满足对任意正整数
均有
,求首项
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4993aaab02cbc3cbed15d025f4b4e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d22a1ed4d88e488b4d4b89f76bd6fb6.png)
(1)判断下列两个数列是否是跳跃数列:
① 等差数列:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc28deef24c776e671639e6cfc028fa.png)
② 等比数列:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a9819764e7f56202270fd85e6841c9.png)
(2)跳跃数列
![](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/2ae8a1b864e3e6d37a0eb027e661d9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
您最近一年使用:0次
2021-01-17更新
|
648次组卷
|
3卷引用:上海市上海交通大学附属中学2020-2021学年高一上学期期末数学试题
上海市上海交通大学附属中学2020-2021学年高一上学期期末数学试题广东省佛山市顺德区东逸湾实验学校2022-2023学年高二下学期3月月考数学试题(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
5 . 已知数列
的前n项和为
,且
,
.
(1)求
的通项公式 ;
(2)设
若
,恒成立,求实数
的取值范围.
![](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/a675bf3ed00af66b2cc4991c16a49882.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73db435273b61a89b86c37ca1e4d1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b2af94958e00af5ef2c11ed9935b94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2021-01-09更新
|
2863次组卷
|
6卷引用:江西省石城中学2020-2021学年高一下学期第二次月考数学(文)试题
解题方法
6 . 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
名校
解题方法
7 . 已知等差数列
的前四项和为10,且
成等比数列
(1)求数列
通项公式
(2)设
,求数列
的前
项和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea26776474cc69dfba9ef0e5f925733c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9253eb4b892b8ae34fd6baf4b02460d5.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/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2020-12-13更新
|
6289次组卷
|
17卷引用:河南省实验中学2021-2022学年高三上学期期中考试 数学(文)试题
河南省实验中学2021-2022学年高三上学期期中考试 数学(文)试题河南省周口市六校2021-2022学年高三上学期12月联考文科数学试题宁夏海原第一中学2020-2021学年高二上学期第二次月考数学(理)试题(已下线)考点22 数列的综合应用-备战2022年高考数学一轮复习考点帮(浙江专用)河南省重点高中2021-2022学年高三上学期阶段性调研联考三文科数学试题四川省内江市第二中学2022-2023学年高二上学期开学考试数学(文科)试题重庆市万州第二高级中学2022-2023学年高二上学期期末数学试题安徽省滁州市定远县民族中学2022-2023学年高二下学期3月第一次月考数学试题(已下线)第四章 数列章末重点题型归纳(3)广东省深圳市云顶学校高中部2024届高三上学期期中数学试题云南省昭通市衡水实验中学2021-2022学年高二上学期期末数学(B卷)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)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)青海省西宁市2024届高三上学期期末联考数学(理)试题山东省德州市第一中学2023-2024学年高二下学期3月月考数学试题黑龙江省哈尔滨市第十一中学校2023-2024学年高二下学期3月月考数学试题吉林省长春市绿园区长春市文理高中2023-2024学年高二下学期4月月考数学试题
8 . 已知等比数列
的公比
,且
,
是
,
的等差中项,数列
满足:数列
的前
项和为
.
(1)求数列
、
的通项公式;
(2)数列
满足:
,
,证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b932ddacaf5235694da0d7313cbcf65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0414c0b6fda7fee5eb71976e09da80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52c9237cb0b4acc568d4afb12997186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67031ed022f126ffd6d6a1a1e5faadbc.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2865594c03cd3cfcbf3216cdbf08fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b0242b49523fc3ad50b46fbacc3797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82fbc6141ed1f5a458f49ceb0526e143.png)
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2020-10-27更新
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1588次组卷
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8卷引用:4.4 数学归纳法(精讲)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)
(已下线)4.4 数学归纳法(精讲)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)(已下线)2021年高考数学押题预测卷02(浙江专用)(已下线)专题7.6 数学归纳法(讲)- 2022年高考数学一轮复习讲练测(新教材新高考)浙江省“山水联盟”2019-2020学年高三下学期返校考试数学试题(已下线)专题15 数列与不等式(解答题)-冲刺2020高考跳出题海之高三数学模拟试题精中选萃(浙江专版)(已下线)专题7.6 数学归纳法(练)-2021年新高考数学一轮复习讲练测(已下线)专题7.6 数学归纳法(练)- 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)第23讲 证明数列不等式-2022年新高考数学二轮专题突破精练
名校
解题方法
9 . 设
是等差数列,前
项和为
;
是各项均为正的等比数列,其前
项和为
,已知
,
,
,
.
(1)求
和
;
(2)若
,求正整数
的值.
![](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/034ba25825c13725931c483aa47c9363.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/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5894df51d353f8a1390bc2659a94c18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b696992c08553751ccbc7e43ac5e1a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df586adaf9eb4b97ac26fbfe966629bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b205d3e872bd5a6506e610453cf2375f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2020-10-16更新
|
1284次组卷
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7卷引用:重庆市育才中学2022届高三上学期高考适应性考试一数学试题
重庆市育才中学2022届高三上学期高考适应性考试一数学试题重庆市第八中学2021届高三上学期适应性月考数学试题江苏省黄桥中学、口岸中学、楚水实验三校联盟2020-2021学年高二上学期期中联考数学试题(已下线)解密08 等差、等比数列(分层训练)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(新高考专用)江苏省常州市第三中学2022-2023学年高二上学期期末数学试题河南省南阳市第一中学校2022-2023学年高二下学期3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)
19-20高二下·上海浦东新·期末
名校
10 . 已知集合
,其中
,
,
,
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
中所有不同值的个数.
(1)设集合
,
,分别求
,
;
(2)若集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce2c8cdc0ae739e1b23ba9a2102dc6fe.png)
,证:
;
(3)
是否存在最小值?若存在,求出这个最小值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d35d7c81c3ade827a43c4ab0fac265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147a9ae90baacb72de0596be4f69bc2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef835c9ad2636a9662fb6c99e3abc78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9153fb853cd99beec9e600a4eaf73fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f287eeb047884b44460a1c8e73726d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/349e6582f21958073a3eb0f1fe70eb86.png)
(1)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca112f43de2fa7e39011fe5c90720ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b831331392b487ce85fa0ac900dba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c018c9e6ed11bfb122fcf174551b9a97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead4078398b07739ac40fc10ee8f37eb.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce2c8cdc0ae739e1b23ba9a2102dc6fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9673d71028e49069884d043015d1d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0190b02ea4b1ce5dfd703651d23aa3.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f287eeb047884b44460a1c8e73726d5.png)
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