1 . 定义“二元函数”如下:
;例如:
,对于奇数m,若任意
,存在
为正整数,且
(
彼此不同),满足
,则最小的正整数m的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3966fa557dd02ae0fa942956d4d3979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/378403dc180c610910ec61e5faf9bb27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa9489cb77fac183fb891b291d02009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d59a31a27f71f3351780a75bb6fd224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a9d3dc3d131c7bdc168c2d6198d158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575f0017700c3081f3b0adfe313fdff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc0106a86de4798c11ca5c7e672c9f6e.png)
您最近一年使用:0次
2022-06-28更新
|
545次组卷
|
4卷引用:上海市上海师范大学附属中学2022届高三上学期期中数学试题
2 . 已知数列
的首项为
,且
,数列
、数列
数列
的前
项和分别为
,则( )
![](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/1789ee9a2337424f196aa46cd1467e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e06f3e3a89ed606f4206fb36bb7bc090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46f3ac8a1d753bea4cf552978c3a83c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be456f6c6ab25a93bc1f3705819e8ec.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 在平面直角坐标系中,定义
(
)为点
到点
的变换,我们把它称为点变换,已知
,
,
,
是经过点变换得到一组无穷点列,设
,则满足不等式
最小正整数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f6138fb762d7fca4c295153b716616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb9979465ce76b8582067703b39a0bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a73f95353bb2782779c976a6b82737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a42795469ed8ba12729fcebd710e8795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a4422395ca20fe847419ec569e48b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eddbde5d269189fced4cc478908a6866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c5bbac2b16b461a28d350728aee67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595fd9d54ab549c3462bc7e2be8370a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.9 | B.10 | C.11 | D.12 |
您最近一年使用:0次
2020-06-13更新
|
1238次组卷
|
8卷引用:上海市青浦高级中学2020-2021学年高二上学期期中数学试题
4 . 结绳记事是人类最早跟数列打交道的一种朴素方式,人类所认识并应用于生活、生产的第一个数列便是自然数列.现有数列
满足:第一项是
,接下来的两项是
,再接下来的三项是
,依此类推,记
为数列
的前
项和,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb60890abb296c88dfe96b9285f167b9.png)
__________ ;当
时,若存在
,使得
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c187044e689bbe78aededb6b48f877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdc0a3d74c8452485651263b7ea2e01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec55f0abe141c86085fbe360d064bd17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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/bb60890abb296c88dfe96b9285f167b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f676c8529dd4b4baab63d18a3b2127d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9089e4cdf2567677ed6c17a87c0b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dffd7706656246cea009f899f18967c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
您最近一年使用:0次
2023-09-28更新
|
352次组卷
|
6卷引用:新疆维吾尔自治区伊犁哈萨克自治州2022-2023学年高二下学期期中数学试题
新疆维吾尔自治区伊犁哈萨克自治州2022-2023学年高二下学期期中数学试题(已下线)第四章 数列(压轴题专练,精选28题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第二册)(已下线)湖北省武汉市(武汉六中)部分重点中学2024届高三第二次联考数学试题变式题11-16(已下线)【练】专题4 数列新定义问题(已下线)【练】 专题7 等比数列与等差数列的综合问题(已下线)【练】专题3 数列范围(最值)问题
解题方法
5 . 记数列{an}的前n项和为Sn,bn=an+1-Sn,且{bn}是以-1为公差的等差数列,a1=2,a2=3.
(1)求{an}的通项公式;
(2)求数列{an
}的前n项和.
(1)求{an}的通项公式;
(2)求数列{an
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be85b6de3f99238545d0c51b4c79433e.png)
您最近一年使用:0次
2022-10-27更新
|
469次组卷
|
3卷引用:湖南省长沙市四校2022-2023学年高二上学期期中联考数学试题(B卷)
湖南省长沙市四校2022-2023学年高二上学期期中联考数学试题(B卷)江苏省南京市、盐城市部分学校2022-2023学年高三上学期10月第一次联合调研数学试题(已下线)第四章 数列单元检测卷(能力提升)-【一堂好课】2022-2023学年高二数学同步名师重点课堂(人教A版2019选择性必修第二册)
解题方法
6 . 已知数列
中,其前
项和为
,且满足
,数列
的前
项和为
,若
对
恒成立,则实数
的取值范围是( )
![](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/b3d4fe74f5287a2e23d9e8912714f1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362832fa3d3c13c1eafd565349d66dce.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/fef2b2086745f9fe190274699cc08b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知数列
为等比数列,
是它的前
项和,若
,且
与
的等差中项为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec66faf5ace112f012aa331efa5c82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a47bf269ab9edd83336b48f05d9f4ee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ab85c075a09d55d69e159e4abb268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
您最近一年使用:0次
2020-04-10更新
|
1148次组卷
|
3卷引用:广东省广州市第六中学2018-2019学年高三上学期期中数学(文)试题
广东省广州市第六中学2018-2019学年高三上学期期中数学(文)试题黑龙江省佳木斯市第一中学2019-2020学年高一下学期第一学段考试文科数学试题(已下线)专题01 《数列》中的典型题-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)
名校
解题方法
8 . 某软件研发公司对某软件进行升级,主要是对软件程序中的某序列
重新编辑,编辑新序列为
,它的第
项为
,若序列
的所有项都是1,且
,
.记数列
的前
项和、前
项积分别为
,
,若
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe336cc2868f8ba1f68f7bf57180014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fb1251a316ac8821ff18459d92cdfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed9925a0e08120e9d2d7846cbc45bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d43dbc584b11423008eced85b9b966b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df1038200f2d97a52c716aab6c3bcb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c5c4ac959eb2c4b74afabc9cdd3a6b.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe607a2cbb9f6f4ae6727396e820d5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.2 | B.3 | C.4 | D.5 |
您最近一年使用:0次
2021-12-02更新
|
738次组卷
|
5卷引用:河南省九师联考2021-2022学年高二上学期期中考试理科数学试题
河南省九师联考2021-2022学年高二上学期期中考试理科数学试题(已下线)高二数学下学期期中精选50题(压轴版)2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)黑龙江省哈尔滨市实验中学2023-2024学年高二下学期期中考试数学试卷黑龙江省大庆实验中学2021-2022学年高二上学期期末考试数学试题2023版 苏教版(2019) 选修第一册 名师精选卷 第十一单元 等比数列 B卷
名校
解题方法
9 . 已知数列
的前
项和为
,数列
与
满足关系
,对于
,有
,
.
(1)求数列
的通项公式;
(2)设数列
的前
项和为
,
,求
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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aaee408bdec05bbdfcd4b841a331e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1505d56f0b35fe7f2de1fe1888036e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f7e570cd1d8e8fd6d3dc36b5c9c03d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71e5af579d11cc5a325b8cf3be2eb51.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.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/fbc6b9538b7d3e92ef0c51f5edd1a5d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a302cc1dea125b7e2ba50de624c9941d.png)
您最近一年使用:0次
解题方法
10 . 英国著名物理学家牛顿用“作切线”的方法求函数零点.已知二次函数
有两个不相等的实根b,c,其中
.在函数
图象上横坐标为
的点处作曲线
的切线,切线与x轴交点的横坐标为
;用
代替
,重复以上的过程得到
;一直下去,得到数列
,记
,且
,
,则数列
的前n项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b2139fd92090785e08fbdf814c41f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2414f9aa6d06243ccd076093bb3856d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ab44c68cb5ca9cc745e230f0b3aa2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c417392924cccaaf58cfaf5eb48a1864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次