1 . 把正整数按一定的规则排成如图所示的三角形数表,设
(
)是位于这个三角形数表中从上往下数第
行,从左往右数第
个数,如
.若
,则
与
的和为__________ .
1
2 4
3 5 7
6 8 10 12
9 11 13 15 17
14 16 18 20 22 24
……
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a14c188b1c9d61aa237b137ba18023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0017117fab6f8e863c540552588e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43366cf92d2bbd350b6f2dcc9e14d712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2f9b53662f542a1c894c91b24a80cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
1
2 4
3 5 7
6 8 10 12
9 11 13 15 17
14 16 18 20 22 24
……
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2 . 已知
,删除数列
中所有能被2整除的数,剩下的数从小到大排成数列
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7196447bf70f4529d4e92fd442b5d5b7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be102b470b13adf5deb3540de8ea94e6.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/7196447bf70f4529d4e92fd442b5d5b7.png)
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解题方法
3 . 数列1,2,2,3,3,3,4,4,4,4,5,……的第2008项的值为______ .
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解题方法
4 . 数列
的项是由1或2构成,且首项为1,在第
个1和第
个1之间有
个2,即数列
为:1,2,1,2,2,2,1,2,2,2,2,2,1,…,记数列
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec6439c99c6a996a48b7d9e57c21208.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b00f4eb7f1bd2ccefbabf0c1dfa8f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897d8f6cf00391f1b3ff70432f0121b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/dec6439c99c6a996a48b7d9e57c21208.png)
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5 . 在计算机语言中,有一种函数
叫做取整函数(也叫高斯函数),它表示y等于不超过
的最大整数,如
,已知
,
(
,且
),则数列
的前2020项的和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d238a52feae87b0778ba324dc144d50.png)
____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4849a924fd4c3b0662b3887c66a525af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e92658090fce280e62286f7b90c13f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b717e8f009919e882a6ac20a5fc1a907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9877ab742e831f02df85bbf001c7f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d238a52feae87b0778ba324dc144d50.png)
您最近一年使用:0次
名校
6 . 已知数列
满足
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7419eab350c5266ebd58156ea7e43a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9cff1a9ceaafab92feca53e701b150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780a1b00ea3a4fec3069509041c84511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7419eab350c5266ebd58156ea7e43a.png)
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7 . 将正奇数按如图所示的规律排列,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05d613510ff8c151b87c35e85457430.png)
则第21行从左到右的第5个数为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05d613510ff8c151b87c35e85457430.png)
则第21行从左到右的第5个数为
您最近一年使用:0次
8 . 已知
,把数列{an}的各项排成如图所示的三角数阵,记S(m,n)表示该数阵中第m行中从左到右的第n个数,则S(9,6)对应数阵中的数是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614b58b897d4ff2a62d0eac4e7e60d34.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/27/5a866e86-e03c-43d4-9d41-72a276b45f41.png?resizew=77)
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9 . 观察下面的数阵,第20行最左边的数是_____________ .
1
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23 24 25
1
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23 24 25
…… …… …… …… ……
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2023-01-06更新
|
168次组卷
|
2卷引用:广西玉林市育才中学2014-2015学年高二10月月考数学试题(理)
名校
10 . “开心辞典”中有这样的问题:给出一组数,要你根据规律填出后面的第几个数,现给出一组数:
,它的第
个数是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d7cced15734057b232649460b93b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
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