1 . 已知数列
为等差数列,
且
,设
,当
的前
项和
最小时,
的值组成的集合为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/179513ce80436471efbe1d9b31735f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d994550ea79bc3919b1bd087dd04c11b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/844977d9d6d60364d11e9f504456ecd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
2 . 已知
是等差数列,
是其前
项和,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5dfc5ea772fe601578d205234e3ac08.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f037b0ec3d03dc5430404f12a8f20b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5dfc5ea772fe601578d205234e3ac08.png)
您最近一年使用:0次
2019-06-12更新
|
547次组卷
|
3卷引用:上海市七宝中学2017-2018学年高一下学期期末数学试题
名校
3 . 若数列
为等差数列,
为等比数列,且满足:
,
,函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0f67ecc63958183b70e106534d38b5.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e58b771199b74cf265e162a8c3f9df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180a92df4367f5d8d784af0f919c60aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0f67ecc63958183b70e106534d38b5.png)
您最近一年使用:0次
2019-11-08更新
|
488次组卷
|
3卷引用:上海市闵行区闵行中学2019-2020学年度高三上学期期中数学试题
10-11高一下·四川成都·期中
名校
4 . 等差数列
的前
项和为
,
,
,则
取最大值时![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619ef41442789786a473b6ffa8e73f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
您最近一年使用:0次
2020-07-15更新
|
351次组卷
|
5卷引用:上海市闵行中学2023-2024学年高一下学期期末考试数学试卷
上海市闵行中学2023-2024学年高一下学期期末考试数学试卷(已下线)2010-2011年四川省成都市玉林中学高一下学期期中考试数学上海市长宁区2018-2019学年高一第二学期期末数学试题上海市上海中学2019-2020学年高一下学期期末数学试题河北省邯郸市永年区第二中学2022-2023学年高二上学期12月月考数学试题
名校
5 . 已知a,
,
,且a、ab、b成等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad769213fb1c155854b5657bef1e858b.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f059e451fc147d98681d846e5dff60c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e19e74429f49314d8770986ffe10b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad769213fb1c155854b5657bef1e858b.png)
您最近一年使用:0次
2019-04-17更新
|
487次组卷
|
2卷引用:上海市七宝中学2017-2018学年高三上学期期中数学试题
6 . 已知数列
的前
项和
,且满足
,则正整数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467405b57ddf673891dd4bc7a2b1507a.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4effeb3b7bd30976026b3cb568f450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d944e24e328fa3b693053966173786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467405b57ddf673891dd4bc7a2b1507a.png)
您最近一年使用:0次
2018-02-27更新
|
747次组卷
|
3卷引用:上海市闵行中学文绮中学2023届高三上学期开学考数学试题
解题方法
7 . 已知复数
,满足
,
,其中
为虚数单位,
表示
的共轭复数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eacb0939935b2991f3df7a86f3fac5bf.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1446ac777348761c66bfd7a073aed24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d76e1e06c2ba70ccf7bbad0a90180fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f153286b36ba33198e84e0c5af6ae79a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2dd355fd9dc7dcc5d03d4aac5a85403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7034d1c4fce36a9c9f71094e3fecf349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eacb0939935b2991f3df7a86f3fac5bf.png)
您最近一年使用:0次
名校
8 . 将正
分割
成个全等的小正三角形(图1,图2分别给出了
的情形),在每个三角形的顶点各放置一个数,使位于
的三边及平行于某边的任一直线上的数(当数的个数不少于3时)都分别依次成等差数列,若顶点
处的三个数互不相同且和为1,记所有顶点上的数的和为
,已知
,则
(用含
的式子表达)__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa65ec2191475874032d117b3b3a4e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d15d4afcc5736bb747eeffcffd3f4464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252a9a88ec5192be109879199148aadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/b5c52c3e-781e-43b6-909f-e27f0b782a1a.png?resizew=298)
您最近一年使用:0次
9 . 若无穷数列
满足:
,当
,
时.
其中
表示
,
,
,
中的最大项
,有以下结论:
若数列
是常数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ce51d9b18872dd38ff172090673a7d6.png)
若数列
是公差
的等差数列,则
;
若数列
是公比为q的等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d895ab99376ef3b097a707019189848a.png)
则其中正确的结论是______
写出所有正确结论的序号
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2348d5068480809ea002ebc2d3261b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5a9adea1315b5f1657cc435954721f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f515802d3e4a059101262543d9539f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0b888fa462e7d2bcb8f4614b9d5ac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9272866244b64545a8703cce521358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdd67f0eb1e7d003d3c49972b942308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2514cfcb2dbe42b256a7a2db065440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0cb6b87d3577cda7df5a7e78391771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c085326cf3869627d2e066a0709e7a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2348d5068480809ea002ebc2d3261b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ce51d9b18872dd38ff172090673a7d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2348d5068480809ea002ebc2d3261b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6fe79dcbdb915e83e95606bbfd1e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1084edaa07bd2ca38b52e0833006a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2348d5068480809ea002ebc2d3261b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d895ab99376ef3b097a707019189848a.png)
则其中正确的结论是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
您最近一年使用:0次
解题方法
10 . 已知等差数列
,
,
,…, 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ce3ebd1112220c639562739f1f9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730da95cbce9628ab85d9bc270f4f033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
您最近一年使用:0次