1 . 黎曼猜想由数学家波恩哈德∙黎曼于1859年提出,是至今仍未解决的世界难题.黎曼猜想研究的是无穷级数
,我们经常从无穷级数的部分和
入手.请你回答以下问题:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1e7df075a8aea5c473b84fbe93b4a6.png)
_____ ;(其中
表示不超过
的最大整数,如
)
(2)已知正项数列
的前
项和为
,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96c7a4f80a6323ab9957d1fabe391fc.png)
_________ .(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc07ef1256a9188949462dff0bc9be7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b3bd282c6e7cad9cf53cde43b122da.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1e7df075a8aea5c473b84fbe93b4a6.png)
![](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/40ca5bb1a4a8e02c13874056ccdeb27e.png)
(2)已知正项数列
![](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/9583a4d9bf7b954042226232d23a8c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96c7a4f80a6323ab9957d1fabe391fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227cad9f324ed0089526402e3977f329.png)
您最近一年使用:0次
名校
2 . 在处理多元不等式的最值时,我们常用构造切线的方法来求解.例如:曲线
在
处的切线方程为
,且
,若已知
,则
,当
时等号成立,所以
的最小值为3.已知函数
,若数列
满足
,且
,则数列
的前10项和的最大值为________ ;若数列
满足
,且
,则数列
的前100项和的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c72a671c1fba30deaf0f1bbbd4f34df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7152aea5d046953a8c931571be7c529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb815fd4ab37e3acce07473dddc6d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f285defc2f91858fae9472d090ef34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4dd6e208196f02dba2106dbcfb68569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8285778d6832045498a16d1ceb1da957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91540ab4e6e0ac4b7be750ad9f9c5f6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a871d59989f13df946a72de050e7ec53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f79a1c4c9f83d94fe1ebcc3ecfc0a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065054f4e163585d630aa42cb6323a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36562bec957b5ab3ca3b64bc3dc1c1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282328f6df9c9c524084dc76f8499a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a083c38783fda991b05eaf051ee6c1df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a4465705237c08e4e05d849cb28d0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/792ce88874b917946843d4ed3da3ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b7ab69e9605abf49d8d42c2382bb24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed63f4ab8e272b2b0083b2086315e1b1.png)
您最近一年使用:0次
2022-10-20更新
|
323次组卷
|
2卷引用:河北省保定市唐县第一中学2022-2023学年高三上学期11月期中考试数学试题
名校
3 . 已知a,b,c,d∈(0,+∞),且S![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e04a26cab7ad84d1881f023f3fb5d4d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e04a26cab7ad84d1881f023f3fb5d4d.png)
您最近一年使用:0次
2018-08-18更新
|
345次组卷
|
4卷引用:福建省泉州市泉港区第一中学2020-2021学年高一上学期期中考试数学试题
9-10高二下·浙江杭州·期末
4 . 设
,则
与
的大小关系是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367332abbf48a7aa2460b570a9aad937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
您最近一年使用:0次
2016-12-01更新
|
984次组卷
|
5卷引用:2011-2012学年四川省雅安中学高二下期中数学试卷
(已下线)2011-2012学年四川省雅安中学高二下期中数学试卷(已下线)浙江省杭州第十四中学09-10学年度高二下学期期末考试(文)专题11.7 不等式选讲(讲) -江苏版《2020年高考一轮复习讲练测》沪教版(上海) 高三年级 新高考辅导与训练 第二章 不等式 二、不等式证明吉林省白城市洮南市第一中学2019-2020学年高二期末考试数学(文科)试卷