1 . 数列{an}中,
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7419eab350c5266ebd58156ea7e43a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feea2dee2cd337e9186b5be3e8176151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7419eab350c5266ebd58156ea7e43a.png)
您最近一年使用:0次
2 .
被7除的余数是______ (
表示不超过实数
的最大整数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0c52c2fde4ee343b8fdd5233f08eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
3 . 数列
满足:
,
.则共有________ 个不同的
,使得
从第一项开始是最小正周期为9的周期数列(
,
表示不超过实数
的最大整数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d5b159da139b50cde0d087f462aa4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8205114f94ed9c236139d039bf5f100c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f2754b3b1dad0794ec35a1771e1453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
4 . 已知数列
满足
,
.若数列
构成的集合为有限集,则
、
应满足______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377221b80387b8e290b371762f27a496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8c4cccf2add30adbd44f6cff0c619c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad481cbfb67ac9cdbc0537f3de23b022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
您最近一年使用:0次
5 . 对于任何正整数
,记
为
的各位数字的平方和,对
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0fd479a128cdf57c7b8139a54175d09.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c63c23825e61ec74a0851c8b9f591d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6bb8a8727c7c59617db8b94e0623e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0fd479a128cdf57c7b8139a54175d09.png)
您最近一年使用:0次
6 . 对于正整数
,定义
为
的个位数字.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb8706a6cc1a7eab7538120cb0ee78a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7f7fa1557be82514e05579b85692a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb8706a6cc1a7eab7538120cb0ee78a.png)
您最近一年使用:0次
7 . 对于整数
,其个位数码用
表示,记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a170727faeae74de9f88906d8b068ec3.png)
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7ce83219bfd97751320fcb14128f2d.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f81f2a0196b06fc56a7e8a6463d179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a170727faeae74de9f88906d8b068ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1143cc30cf9373205e699b915d5e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7ce83219bfd97751320fcb14128f2d.png)
您最近一年使用:0次
8 . 已知数列
满足:
,
,
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc00c62f5dda3fb46d69c9f1a8027de4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d983de2be935fe91d013e7e0cac54123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc00c62f5dda3fb46d69c9f1a8027de4.png)
您最近一年使用:0次
9 . 复数数列
满足
.则它的前2007项的和为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818d968d3d93718d64f3236b183723a6.png)
您最近一年使用:0次