1 . 将正方形
分割成
个全等的小正方形(图1、图2分别给出了
的情形),在每个正方形的顶点各放置一个数,使位于正方形
的四边及平行于某边的任一直线上的数都分别依次成等差数列.若顶点
处的四个数互不相同且和为1,记所有顶点上的数和为
,则有
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/022205c82846dfa3420c67402a278fea.png)
______ ,…,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d64205bb7d470602fb525b02e72a81b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188ba12941ea122a7775a4999e129161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d15d4afcc5736bb747eeffcffd3f4464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e345e86daf74312a6992e5d1c3f47f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf8c7f5f6a35f7ed88271a077619aef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/022205c82846dfa3420c67402a278fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d64205bb7d470602fb525b02e72a81b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/29/8a0dc8d3-051d-4666-9a45-8e1c699ed7bd.png?resizew=254)
您最近一年使用:0次
名校
2 . 已知是等差数列,且
是
和
的等差中项,则
的公差为
您最近一年使用:0次
2023-08-21更新
|
1297次组卷
|
4卷引用:辽宁省大连市第八中学2022-2023学年高二下学期4月月考数学试题
辽宁省大连市第八中学2022-2023学年高二下学期4月月考数学试题福建省宁德市古田县第一中学2023-2024学年高二上学期第一次月考数学试题(已下线)专题4.2 等差数列(5个考点八大题型)(1)内蒙古蒙东七校2024届高三上学期11月联考数学(文)试题
解题方法
3 . 已知公比为2的等比数列
的前
项和为
,且
,
,
成等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d93c1ae7b22099a5d4c1c4241e5ca18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
您最近一年使用:0次
4 . 设等差数列
的前
项和为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f0a04d3f3224d9d7cab3c93830ccbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
您最近一年使用:0次
5 . 若5是a与b的等差中项,4是a与b的等比中项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b1b96f5050de3bc7ae53c7bf0c21e8.png)
__________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b1b96f5050de3bc7ae53c7bf0c21e8.png)
您最近一年使用:0次
2022-12-27更新
|
683次组卷
|
3卷引用:辽宁省沈阳市第二中学2022-2023学年高二下学期4月月考数学试题
6 . 已知等差数列
的前n项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03fb3507dd6181581ffcd65bac0d160.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/2bc393f4b53e088bcb618e3d15ad8eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03fb3507dd6181581ffcd65bac0d160.png)
您最近一年使用:0次
2022-11-08更新
|
811次组卷
|
3卷引用:辽宁省辽南协作校2022-2023学年高二下学期期末考试数学试题
辽宁省辽南协作校2022-2023学年高二下学期期末考试数学试题(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)黑龙江省齐齐哈尔市普高联谊校2022-2023学年高三上学期期中数学试题
7 . 已知a,b,c三个数成等差数列,函数
的图像过定点A,函数
的图像经过点A,则函数
的定义域为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d696d89bb3ff54ba5a09a72390921ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d0709a1c11c826fadcc8b903346b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d0709a1c11c826fadcc8b903346b45.png)
您最近一年使用:0次
2022-08-13更新
|
533次组卷
|
4卷引用:辽宁省营口市2021-2022学年高二下学期期末数学试题
8 . 在各项都是正数的等比数列
中,
,
,
成等差数列,则
的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20071a42c1f9eac2b173d77d37381da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478583185c714fd7ded0df05a03dc082.png)
您最近一年使用:0次
2020-08-03更新
|
703次组卷
|
3卷引用:辽宁省辽西联合校2022-2023学年高二下学期期中考试数学试题
辽宁省辽西联合校2022-2023学年高二下学期期中考试数学试题(已下线)第4章 数列(基础卷)-2021-2022学年高二数学新教材单元双测卷(苏教版2019选择性必修第一册)江苏省南通市2020届高三下学期高考考前模拟卷(五)数学试题
名校
解题方法
9 . 数列
是各项为正且单调递增的等比数列,前
项和为
,
是
与
的等差中项,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da377b110f526e16c0083ca325e4991f.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/fa30a4ac93b1391226ea00b83e4609de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
您最近一年使用:0次
2020-05-05更新
|
471次组卷
|
2卷引用:辽宁省沈阳市东北育才学校2021-2022学年高二下学期6月月考数学试卷
名校
10 . 已知
,并且
成等差数列,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53c895d6bf40fcd1eaccf3d5736f10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f1201644b1c6e01dc0718cd16404c6.png)
您最近一年使用:0次
2018-03-05更新
|
1617次组卷
|
8卷引用:辽宁省六校协作体2017-2018学年高二下学期期初考试数学(理)试题