1 . 已知数列
的前n项和为
,若
与
均为等差数列,请写出满足题意的一个
的通项公式,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832d1e3a06f59a35396aac6e12c5e2ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2023-09-19更新
|
325次组卷
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2卷引用:安徽省合肥市庐阳区合肥市第一中学2023届高三上学期12月月考数学试题
名校
解题方法
2 . 记
为数列
的前
项和,
为数列
的前
项积,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.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/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1274a15eede50b4462fec40291cd8674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
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2022-11-09更新
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400次组卷
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2卷引用:安徽省六安第一中学2022-2023学年高三上学期第三次月考数学试题
3 . 已知等差数列
和公比
的等比数列
满足:
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6567c5f14b7a78a0186eda9fca4feb41.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45482d31d1d7448c9f3922b4d2a55331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90ec4d3bab4eff02d298bca9184da05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6567c5f14b7a78a0186eda9fca4feb41.png)
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2022-05-22更新
|
342次组卷
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2卷引用:安徽省皖江名校2022届高三下学期最后一卷文科数学试题
名校
解题方法
4 . 已知数列
是公差不为0的等差数列,
是公比不为1的等比数列,数列
满足
,且
的前4项分别是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ddb9f59ac6af99a8e1db5c320b47fe0.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/57ef6d44448092ebdb9e4a49d866a749.png)
![](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/b276a8c1128098be1d18d15ee477dbd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ddb9f59ac6af99a8e1db5c320b47fe0.png)
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2022-05-22更新
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159次组卷
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2卷引用:安徽省江淮名校2022届高三下学期5月联考理科数学试题
名校
5 . 已知公差不为0的等差数列
中,
,
,
,
成等比数列,则数列
的公差![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a0eecb5b800fce9ae10aed86ffee62.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/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
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2022-05-10更新
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587次组卷
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3卷引用:安徽省合肥市第八中学2022届高三下学期最后一卷保温文科数学试题
6 . 记
为数列
的前
项和,
为数列
的前
项积,已知
,若
,
,
成等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.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/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b048b2b4fc2b7b9d11bb65a9f1a5a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64696f60c533ad95dc7890eb902741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3cf6f2bbe20a404fea41a4d2b1c4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2022高三·全国·专题练习
名校
7 . “中国剩余定理”又称“孙子定理”,讲的是一个关于整除的问题.现有这样一个整除问题:将1到2 021这2 021个数中,能被3除余2且被5除余2的数按从小到大的顺序排成一列,构成数列{an},则此数列所有项中,中间项的值为______ .
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2022-05-07更新
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3卷引用:安徽省合肥市第一中学2022届高三下学期最后一卷理科数学试题
8 . 随机变量X的分布列为
若
,
,
成等差数列,则公差
的取值范围是______ .
X | |||
P |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b21b872313f7d8c5b606981f954a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
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2022-04-17更新
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10卷引用:安徽省池州市青阳县第一中学2021-2022学年高二下学期5月月考数学试题
安徽省池州市青阳县第一中学2021-2022学年高二下学期5月月考数学试题人教A版(2019) 选修第三册 核心素养 第七章 7.2 离散型随机变量及其分布列(已下线)期末押题预测卷03(考试范围:选修二+选修三)-2021-2022学年高二数学下学期期末必考题型归纳及过关测试(人教A版2019)(已下线)专题7综合闯关(提升版)(已下线)专题48 离散型随机变量的分布列与数字特征-1(已下线)第七章 随机变量及其分布 讲核心 01(已下线)第七章 随机变量及其分布 讲核心 02北京名校2023届高三一轮总复习 第9章 统计与概率 9.8 离散型随机变量及其分布列(已下线)7.2离散型随机变量及其分布列 第三练 能力提升拔高(已下线)7.2离散型随机变量及其分布列 第三课 知识扩展延伸
解题方法
9 . 已知数列
中,
,
,前n项和为
.若
,则数列
的前2022项和为_____________ .
![](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/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a833a9ccc77b0dc9181aaba8e0e9c345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba57c83d526ac308d1461e80fcca9f36.png)
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2022-04-14更新
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2卷引用:安徽省宣城市2022届高三下学期第二次调研测试理科数学试题
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10 . 在等差数列
中,
,记
,则数列
最大项的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864601f12fe1f9dda3110f42e4ca1d98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe39f583c1367c37055634294bf7e2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09b1397026ef8f4a2762b896e4ba2a8.png)
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2022-03-04更新
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4卷引用:安徽省合肥市第六中学2022届高三下学期高考前诊断暨预测理科数学试题