名校
1 . 已知等差数列
的公差与等比数列
的公比相等,且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.png)
______ ;若数列
和
的所有项合在一起,从小到大依次排列构成一个数列
,数列
的前
项和为
,则使得
成立的
的最小值为______ .
![](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/684b935a7274130d081bfa7b2b938023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89b8821c758c29c8b02bd79425ecbd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13624221ac7e06fc5ebd48b21ed0de10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.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/57ef6d44448092ebdb9e4a49d866a749.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/055bd850286feebbeac5df481988b1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2024-03-08更新
|
1235次组卷
|
4卷引用:河北省部分学校联考2024届高三下学期3月模拟(二)数学试题
2 . 若数列
满足对任意
,数列
的前
项至少有
项大于
,且
,则称数列
具有性质
.若存在具有性质
的数列
,使得其前n项和
恒成立,则整数
的最小值是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4a1fb2354b4716afb9191c880fcc11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceef1abeeef220b4fe5f7d96feedd90.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/1a400b5443af7580aa8f0fb7499fe362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e040f089ea13dbd9d9133d6934537f32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e040f089ea13dbd9d9133d6934537f32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be2256f1cda4db7aa1e92b7372ee8ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
解题方法
3 . 等差数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331e95093927765b3b4ef77a9c0591a9.png)
,则
的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acf4c64d3919d2cc0bd0a9953133714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331e95093927765b3b4ef77a9c0591a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afb7577911fa01ca4ad899a97eb7fab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
解题方法
4 . 已知数列
满足
,且
,数列
的各项均不为0,且
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9cce14d311a5698c062841a6f4d114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc26a4e6eff75f2cf49c2f183abfa2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b4c75ec1b061e663a2263c3e5aa3ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.png)
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名校
解题方法
5 . 已知首项为
的数列
的前
项和为
,若
,且数列
,
,…,
成各项均不相等的等差数列,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.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/a0a02d1eb86a6c76e5041e7db6aa1169.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/55ce3545ddc03eb68df04bd154a5415f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2021-03-22更新
|
1559次组卷
|
5卷引用:百校联盟2021届普通高中教育教学质量监测考试(全国二卷)理科数学试题
百校联盟2021届普通高中教育教学质量监测考试(全国二卷)理科数学试题(已下线)专题06 数列(文理)(已下线)专题6-1 数列函数性质与不等式放缩(讲+练)-1(已下线)专题10 数列通项公式的求法 微点1 观察法(不完全归纳法)、公式法吉林省通化市梅河口市第五中学2023-2024学年高二上学期期中数学试题
6 . 设数列
的前
项和为
,
,
(
),
(
,
).且
、
均为等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c88abd936125401c8d7e3bc21f4396.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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f108d4cbb79fbc793f2dfc9209b9436d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517e35343ceb3e569482b9a5beaecb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f78927a4313925a218f7cf271c2c7a32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8194a62bc60a9da9b5cf76f9dc0fa09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf33b2a94eae16760d746f9b4b8dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c88abd936125401c8d7e3bc21f4396.png)
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2020-12-03更新
|
1271次组卷
|
4卷引用:上海市宝山区行知中学2020-2021学年高二上学期期中数学试题
解题方法
7 . 函数
,若方程
有三个根,且
是
和
的等差中项,则a=___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4d6430ecef696455ae7de30a50fffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a3bc83c74212c8a4f81963d4972fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e010ae1e3a31fe1008d7ba1238cc832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
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2020-07-24更新
|
1448次组卷
|
2卷引用:浙江省2020届高三新高考模拟试题心态卷数学试题
8 . 若等差数列
满足
则
的最大值为_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddd97dae9e9c0ea21db5646ef88999f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364f2e680e15ca52f466c10dc90287c4.png)
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2020-05-06更新
|
798次组卷
|
4卷引用:上海市上海交通大学附属中学2019-2020学年高一下学期期中数学试题
名校
解题方法
9 . 如图,曲线y2=x(y≥0)上的点P1与x轴的正半轴上的点Qi及原点O构成一系列正三角形,△OP1Q1,△Q1P2Q2,…,△Qn﹣1PnQn…设正三角形Qn﹣1PnQn的边长为an,n∈N*(记Q0为O),Qn(Sn,0).数列{an}的通项公式an=_____ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/befe99df-b658-421c-b586-e7753d0d746d.png?resizew=239)
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2020-03-25更新
|
2230次组卷
|
12卷引用:安徽省六安市第一中学2018-2019学年高一下学期期末数学(理)试题
安徽省六安市第一中学2018-2019学年高一下学期期末数学(理)试题2020届河北省衡水中学高三下学期一调考试数学文科试题(已下线)2020届高三3月第01期(考点06)(文科)-《新题速递·数学》(已下线)第2章+数列(能力提升)-2020-2021学年高二数学单元测试定心卷(苏教版必修5)(已下线)第二章+数列(能力提升)-2020-2021学年高二数学单元测试定心卷(人教版必修5)(已下线)考点29 抛物线-2021年新高考数学一轮复习考点扫描(已下线)专题7.18 数列与解析几何的综合-2022届高三数学一轮复习精讲精练湖南省湘潭一中2019-2020学年高三上学期11月月考理科数学试题(已下线)专题26 数列的通项公式-5(已下线)专题02 数列(第二篇)-备战2020高考数学黄金30题系列之压轴题(新课标版)(已下线)专题10 数列通项公式的求法 微点1 观察法(不完全归纳法)、公式法福建省泉州市泉港区第一中学2023-2024学年高二上学期第二次月考数学试题
名校
10 . 设函数
,
,
,
,
,记
,
.则
,
,
大小关系是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04e15196ce905f578e53b845242ee30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425c67c8c78ed8a09410355fe08ee85f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e9f76dd74f65d74b6a522b1acc0018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6514c0417a06c7de4f2e4e0e94ea17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9d92a698f14e2dc4ae00121cc5988b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b4be88f2d3afb5d1f2264faa24138e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90de8c0588e022b64be34e79244a1889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1ac49b4139636fb1809fe970b23a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1a0fd1ad044a9ecfcba672779bd678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f904e5f274c559bdba741df035ed3461.png)
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