1 . 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)
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2022-12-27更新
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682次组卷
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3卷引用:山东省莱西市第一中学2022-2023学年高二学业水平检测(二) 数学试题
2 . 已知数列
和
满足
,
,若数列
满足
,则
( )
![](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/85444874c705666de9488286d3d61dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffadb004381f7bf07ad32bf4783331fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fab3af5f17a571a697ff0770fd8df2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0d442d0d26bbe40bef88dd206486c7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知
是公差
的等差数列,其中
,
,
成等比数列,13是
和
的等差中项;数列
是公比q为正数的等比数列,且
,
.
(1)求数列
和
的通项公式;
(2)令
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e11a5b70e1e2e685d1783a4707872e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04fcf0a152b19d49cac680b6199c320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bfcba31b4b02ba57ca40c91f6c09f0e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d44ddab6e0c60119be69985ae7fa65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
4 . 古代《九章算术》记载:“今有五人分五钱,令上二人所得与下三人等,问各得几何”其意思为:“今有
人分
钱,各人所得钱数依次成等差数列,其中前
人所得之和与后
人所得之和相等,问各得多少钱”.由此可知第一人分得的钱数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bff990c7925edc33ee124c18f0e3ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bff990c7925edc33ee124c18f0e3ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9880952857950577055578875ab29141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25b2bbf7e0d8ad8306348d9057671f1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-10-24更新
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1287次组卷
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7卷引用:2022年1月广东省普通高中学业水平合格性考试数学试题
2022年1月广东省普通高中学业水平合格性考试数学试题 贵州省贵阳市“三新”改革联盟校2022-2023学年高二上学期月考(六)数学试题广东省广州市第九十七中学2022-2023学年高二上学期期末数学试题(已下线)等差数列的概念广东省湛江市爱周中学2024届高三上学期第一次月考数学试题专题06数列(已下线)4.2.1 等差数列的概念(8大题型)精练-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第二册)
5 . 已知
是公差不为0的等差数列,
为
的前n项和,且
,
,
,
成等比数列.
(1)求
的通项公式;
(2)已知
,若
对任意
恒成立,求m的最小值.
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9651204c54475c2e8cda8d0a6eeba177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25439fcde425c73f1c15f532ae99ca09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1967b342dae61170454ed59ecbb09183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a11b8baa52b0907ec8638530f1a388.png)
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6 . 等差数列
中,若
,公差
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1344592c925b273f2cb9b9e47ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.10 | B.12 | C.14 | D.22 |
您最近一年使用:0次
解题方法
7 . 已知等差数列
中,前4项为1,3,5,7,则数列
前10项的和
( )
![](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/5af1f1b7e9e20d799ee3c06b89a0611c.png)
A.100 | B.23 | C.21 | D.17 |
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2022-06-20更新
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1586次组卷
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5卷引用:广西普通高中2021-2022学年高二6月学业水平考试数学试题
广西普通高中2021-2022学年高二6月学业水平考试数学试题福建省晋江二中、鹏峰中学、广海中学、泉港五中2021-2022学年高二下学期期末联考数学试题(已下线)专题24 等差数列及其前n项和-5(已下线)第02讲 等差数列及其前n项和 (讲)-2023年高考数学一轮复习讲练测(新教材新高考)专题06数列
名校
8 . 已知等差数列{an}满足
,则下列结论一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd5527efada6770410196e99037adc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-04-25更新
|
606次组卷
|
4卷引用:江苏省南京市金陵中学2022届高三学业水平选择性模拟考前最后一卷数学试题
名校
解题方法
9 . 已知各项均为正数的数列
的前
项和为
.
(1)求证;数列
是等差数列,并求
的通项公式;
(2)若
表示不超过
的最大整数,如
,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/0055abd3f4b453a71aeed5671be3eac9.png)
(1)求证;数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832d1e3a06f59a35396aac6e12c5e2ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d35aa300393c90845b231301ec1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e6904d1235b12e7333c54270a98106.png)
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2022-04-18更新
|
2349次组卷
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8卷引用:江苏省南京市金陵中学2022届高三学业水平选择性模拟考前最后一卷数学试题
名校
10 . 在等差数列
中,
,公差
,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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1344592c925b273f2cb9b9e47ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
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2022-04-11更新
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1058次组卷
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4卷引用:贵州省2021-2022学年高二7月学业水平考试数学试题