1 . 用正奇数按下表排列
则2017在第 行第 列. ( )
A.第253行第1列 B.第253行第2列
C.第252行第3列 D.第254行第2列
第1列 | 第2列 | 第3列 | 第4列 | 第5列 | |
第一行 | 1 | 3 | 5 | 7 | |
第二行 | 15 | 13 | 11 | 9 | |
第三行 | 17 | 19 | 21 | 23 | |
… | … | 27 | 25 |
A.第253行第1列 B.第253行第2列
C.第252行第3列 D.第254行第2列
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2 . 将正奇数1,3,5,7,…排成五列,如下图表,按图表的规律排下去,2005所在的那列,从左边数起是( )
A.第一列 | B.第二列 | C.第三列 | D.第四列 |
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12-13高二上·吉林·期末
3 . 图
,
,
,
分别包含
,
,
和
个互不重叠的单位正方形,按同样的方式构造图形,则第
个图包含____________ 个互不重叠的单位正方形.
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570729446432768/1570729451634688/STEM/78e5abb84c1b4731b632dcf7ae983a9b.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570729446432768/1570729451634688/STEM/d24ec3bc314f4858a4d7dbf1891c940e.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570729446432768/1570729451634688/STEM/a7d157526d214f428f2aa847c41f2a05.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570729446432768/1570729451634688/STEM/e10f9e04380f407699e1f6da3d935e6e.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570729446432768/1570729451634688/STEM/78e5abb84c1b4731b632dcf7ae983a9b.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570729446432768/1570729451634688/STEM/cf4c00bdd5cb4f6ba95c1d883ed123e1.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570729446432768/1570729451634688/STEM/36da0f0b5a07445ca48c1d08b9dac404.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570729446432768/1570729451634688/STEM/76f8bd82a41f4e8f8549820a1a9a8e18.png?resizew=21)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570729446432768/1570729451634688/STEM/0c5734dba93247668dcb02d1eeb5acf5.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570729446432768/1570729451634688/STEM/b930e765-6fcc-4e98-9ece-c1f5c0142953.png?resizew=327)
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名校
4 . 已知两个正数
,可按规则
扩充为一个新数
在
三个数中取两个较大的数,按上述规则扩充得到一个新数,依次下去,将每扩充一次得到一个新数称为一次操作,(1)若
,按上述规则操作三次,扩充所得的数是________ ;(2)若
,经过6次操作后扩充所得的数为
(
为正整数),则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15bd315b801f71bc30b8d772098614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a80ec22b965daf875b53b69e94d2c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90d7f054e8f0346479e1999622f11cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6dc930f55bf837de7ae744542e52b02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c4a5544f81b3620d7365c77a6efe03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e523600ad57f063a85389cf72f7792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea0595c0c301a43c854a5dd1c548441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6524a42af893ca35c6b92c4e82d0058.png)
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9-10高一下·湖北孝感·期末
5 . 如图2所示的三角形数阵叫“莱布尼兹调和三角形”, 它们是由整数的倒数组成的,第
行有
个数且两端的数均为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6a2eba56d4f2d1670b0256b8d86b92.png)
,每个数是它下一行左右相邻两数的和,如
,
,
,…,则第10行第3个数(从左往右数)为 ________________
![](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/ee6a2eba56d4f2d1670b0256b8d86b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd048fe3fbd6b0623f146a0ef9021e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e793a209cbb7698b63ce86071061bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/660f41a92328772f61ade4e991d5ac0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ebcc3f6b9a6e9b4dcd68382ba32a00b.png)
![](https://img.xkw.com/dksih/QBM/2011/12/15/1570616884920320/1570616890376192/STEM/264fa056a09649daaafc22280b54bcdb.png?resizew=378)
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10-11高一下·安徽滁州·期中
6 . 下列各图是由一些火柴棒拼成的一系列图形,如第一个图中有4根火柴棒组成,第二个图中有7个火柴棒组成,第三个图中有10个火柴棒组成,按这种规律排列下去,那么在第51个图中的火柴棒有_________ 个
![](https://img.xkw.com/dksih/QBM/2011/4/26/1570131424182272/1570131429171200/STEM/1039e71f499a4d31a76aa882b145bc44.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2011/4/26/1570131424182272/1570131429171200/STEM/d850ab94e40346e494c538cbadbbe4cf.png?resizew=85)
![](https://img.xkw.com/dksih/QBM/2011/4/26/1570131424182272/1570131429171200/STEM/4c31de7d9d4c444cb6b1d3e3bb529bad.png?resizew=127)
![](https://img.xkw.com/dksih/QBM/2011/4/26/1570131424182272/1570131429171200/STEM/1039e71f499a4d31a76aa882b145bc44.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2011/4/26/1570131424182272/1570131429171200/STEM/d850ab94e40346e494c538cbadbbe4cf.png?resizew=85)
![](https://img.xkw.com/dksih/QBM/2011/4/26/1570131424182272/1570131429171200/STEM/4c31de7d9d4c444cb6b1d3e3bb529bad.png?resizew=127)
![](https://img.xkw.com/dksih/QBM/2011/4/26/1570131424182272/1570131429171200/STEM/f6518b7494034e98ab91fb1473910980.png?resizew=166)
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7 . 如图,有一个形如六边形的点阵,它的中心是一个点(算第1层), 第2 层每边有两个点,第3层每边有三个点,依次类推.
![](https://img.xkw.com/dksih/QBM/2014/5/12/1571707745869824/1571707751260160/STEM/cece63466ce44a90a11b53b93c0b37fb.png?resizew=123)
(1)试问第
层
的点数为___________ 个;
(2)如果一个六边形点阵共有169个点,那么它一共有___________ 层.
![](https://img.xkw.com/dksih/QBM/2014/5/12/1571707745869824/1571707751260160/STEM/cece63466ce44a90a11b53b93c0b37fb.png?resizew=123)
(1)试问第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95f1fa7af18756be08ab510dbaea6cf.png)
(2)如果一个六边形点阵共有169个点,那么它一共有
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10-11高一下·辽宁大连·期末
8 . 右图所示的编码以一定的规律排列,且从左到右,从上到下都是无限的,则在此表中100共出现了 次
![](https://img.xkw.com/dksih/QBM/2011/8/17/1570287288295424/1570287293407232/STEM/5e17d6ebf73845468ffca4d6c796a106.png?resizew=170)
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12-13高二下·河南濮阳·期末
9 . 某大学的信息中心A与大学各部门,各院系B,C,D,E,F,G,H,I之间拟建立信息联网工程,实际测算的费用如图所示(单位:万元).请观察图形,可以不建部分网线,而使得信息中心与各部门、各院系都能连通(直接或中转),则最少的建网费用是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/20/c69009cd-9336-4af5-9139-219a0d6110bf.png?resizew=206)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/20/c69009cd-9336-4af5-9139-219a0d6110bf.png?resizew=206)
A.12万元 | B.13万元 | C.14万元 | D.16万元 |
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