名校
解题方法
1 . 若数列
是正项数列,且
则
=__________ .
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572235547754496/1572235553718272/STEM/22cd3115b79243adb643e62a28310d24.png?resizew=32)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b94a633657afb5490a2b497a3a95d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e64b3218b45bf0875442481ba14e747.png)
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2016-12-03更新
|
858次组卷
|
2卷引用:2014-2015学年四川省成都树德中学高一下学期期末考试数学试卷
2 . 设公差不为
的等差数列
的前
项和为
,若
,
,
成等比数列,且
,
,
,则
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e84c30444f13d37ada78285dc4f83b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e8eef76aab0dfc0fb7e1287d1f5c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/624a820af0c23eab47fa20119f7ec9ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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3 . 将正偶数按照如下规律进行分组排列,依次为(2),(4,6),(8,10,12),(14,16,18,20)…,我们称“4”是第2组第1个数字,“16”是第4组第2个数字,若2020是第
组第
个数字,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
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名校
解题方法
4 . 观察如图,则第__ 行的各数之和等于20172.
![](https://img.xkw.com/dksih/QBM/2018/6/14/1967116404260864/1970613775474689/STEM/614b776a525e4bf594cf48feadadd968.png?resizew=297)
您最近一年使用:0次
2018-06-19更新
|
256次组卷
|
3卷引用:【全国市级联考】四川省眉山一中2017-2018学年高二下学期期中考试数学(文)试卷
名校
5 . 等差数列
的前
项和为
,
,且
,则
的公差![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a358086122d509098a4d541b167842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
您最近一年使用:0次
6 . 我国古代数学名著《张邱建算经》中有“分钱问题”:今有与人钱,初一人与三钱,次一人与四钱,次一人与五钱,以次与之,转多一钱,与讫,还敛聚与均分之,人得一百钱,问人几何?意思是:将钱分给若干人,第一人给3钱,第二人给4钱,第三人给5钱,以此类推,每人比前一人多给1钱,分完后,再把钱收回平均分给各人,结果每人分得100钱,问有多少人?则题中的人数是________________ .
您最近一年使用:0次
2017-02-08更新
|
1018次组卷
|
8卷引用:四川省凉山州2018 届高三毕业班第一次诊断性检测数学试题
四川省凉山州2018 届高三毕业班第一次诊断性检测数学试题2017届陕西西安铁一中高三理上学期三模数学试卷2017届湖北省黄冈市高三3月份质量检测数学(文)试卷河北省武邑中学2017届高三下学期二模考试数学(文)试题江西省上饶市2017届高三第二次模拟数学理试题安溪一中、养正中学、惠安一中、泉州实验中学2018届高三期中考试数学文(已下线)2018年12月30日 《每日一题》(文数)人教必修5+选修1-1(高二上期末复习)-每周一测(已下线)2018年12月30日 《每日一题》(理数)人教必修5+选修2-1(高二上期末复习)-每周一测
名校
解题方法
7 . 等差数列1,3,5,7,11……按如下方法分组:(1),(3,5),(7,9,11),(13,15,17,19),……,则第
组中各数之和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2020-07-27更新
|
117次组卷
|
2卷引用:四川省绵阳南山中学2019-2020学年高一下学期期中考试数学试题
8 . 数列
的前
项和为
,若数列
的各项按如下规律排列:
,
,
,
,
,
,
,
,
,
,
,
,…,
,…有如下运算和结论:
①
;
②数列
,
,
,
,…是等比数列;
③数列
,
,
,
,…的前
项和为
;
④数列
,
,
,
,…的前
项和为
,则
.
其中正确的结论是_____ .(将你认为正确的结论序号都填上).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96dde66b55ce123648fef6989c19e50b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ffd5c35bba71ea54c28622b6cf505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33adb74906403b0b00fcbd9fa691d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d796d725213f27e908e87369ef4665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6a2eba56d4f2d1670b0256b8d86b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c350e626893ba12c028b6c8bc4ea8d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc7040ad5dd0ebafac0e9f23bd54812.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a59c1bddff2b0936feba193cf2eb8c85.png)
②数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9d2e152db0845ff23e4ea0cd00974d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2092f7f045371254f7d3a1e9a4d5befb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a413f2ce9f7657b19b58933fd67cce12.png)
③数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9d2e152db0845ff23e4ea0cd00974d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2092f7f045371254f7d3a1e9a4d5befb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a413f2ce9f7657b19b58933fd67cce12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a6d72db96302e3dd395a2f58e7f4c22.png)
④数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9d2e152db0845ff23e4ea0cd00974d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2092f7f045371254f7d3a1e9a4d5befb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a413f2ce9f7657b19b58933fd67cce12.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/01b1e521a329de85d0bc81217f746cdc.png)
其中正确的结论是
您最近一年使用:0次
2020-10-22更新
|
111次组卷
|
2卷引用:四川省成都市新都区2020-2021学年高三摸底测试文科数学试题
9 . 《张丘建算经》是中国古代的著名数学著作,该书表明:至迟于公元5世纪,中国已经系统掌握等差数列的相关理论,该书上卷22题又“女工善织问题”:“今有女善织,日益功疾,初日织五尺,今一月曰织九匹三丈,问日益几何?”,大概意思是:有一个女工人善于织布,每天织布的尺数越来越多且成等差数列,第一天知5尺,30天共织九匹三丈,问每天增加的织布数目是多少寸?答案是__________ 寸.(注:当时一匹为四丈,一丈为十尺,一尺为十寸,结果四舍五入精确到寸)
您最近一年使用:0次
10 . 已知等差数列
的前
项和为
,若
,
,则
的公差为______ .
![](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/1ee6d51b5521d770a8b7994249f32f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e26faf2d524402fefa06823506d1971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次