名校
解题方法
1 . 设等差数列
的各项均为整数,首项
,且对任意正整数
,总存在正整数
,使得
,则关于此数列公差
的论述中,正确的序号有__________________ .
①公差
可以为
;
②公差
可以不为
;
③符合题意的公差
有有限个;
④符合题意的公差
有无限多个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf892b3095141d3458941f5985643fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
①公差
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
②公差
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
③符合题意的公差
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
④符合题意的公差
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
您最近一年使用:0次
2 . 对正整数
,其中
,记
.设
,给出下面四个结论:
①
;
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7be0de417f34f71b91db577831f5c546.png)
③
;
④数列
为等差数列.
其中所有正确结论的序号是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95d411d99cadcc9a40f865663015f03b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db6b222287bc816d81be8eddbb02495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13437600b1f7c2f7d6d7ff59e5ea5474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5589e8c4036c032fd090682d571839e5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/139552c86e5872edfb63a33c2fce8728.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7be0de417f34f71b91db577831f5c546.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645a3f71d09e5fb727c35b950546a31c.png)
④数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afef75088e4b3a34b682b40599768a2e.png)
其中所有正确结论的序号是
您最近一年使用:0次
3 . 已知集合
={x|x=a3×30+a2×3﹣1+a1×3﹣2+a0×3﹣3},其中ak∈{0,1,2},k=0,1,2,3,将集合
中的元素从小到大排列得到数列{bn},设{bn}的前n项和为Sn,则b3=_________________ ,S15=_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
10-11高一下·福建泉州·期末
名校
4 . 已知函数
,项数为
的等差数列
满足
,且公差
,若
,则当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
__________ 时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341acf7def432acf9f44404c88ce8002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ef963f7042f5648acebc2f38246f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8582b63cbd73a1737c5d9fe0b2ed1b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d44b4c92e90708bcc28c09666b12ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2007b212e612bacff87dfa6524867ad.png)
您最近一年使用:0次
2018-04-02更新
|
643次组卷
|
4卷引用:北京市海淀区北京57中2016-2017学年高一下期中考试数学试题
北京市海淀区北京57中2016-2017学年高一下期中考试数学试题(已下线)2010-2011年福建省南安一中高一下学期期末考试数学2015届江苏省如东高中高三上学期第9周周练理科数学试卷上海市七宝中学2016-2017学年高二上学期开学考试数学试题
名校
解题方法
5 . 已知函数
,把方程
的根按从小到大顺序排成一个数列,则该数列的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b55ca7cd9ee5f49ecd9d80c6ecc9c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd689fbacfbe6c1bd0953521bbf3638b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次
2017-11-06更新
|
990次组卷
|
3卷引用:北京市海淀区北京一零一中学2023届高三上学期统考(二)数学试题