1 . 设m是任一给定的正整数,正整数列
定义如下:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57fdc7c13a376b6232ea2bcd03d9271.png)
,求所有的正整数a,使得
是周期的.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2746fd942383e4d40840cc64f5ed832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57fdc7c13a376b6232ea2bcd03d9271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e749ca11d45ff5a59249b860968731a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2746fd942383e4d40840cc64f5ed832.png)
您最近一年使用:0次
2 . 数列
满足:
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56c6ce06c1cd6542d0bb2bedaf66b8cf.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f590550c15a192f5d52ad25fab5f2d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56c6ce06c1cd6542d0bb2bedaf66b8cf.png)
您最近一年使用:0次
3 . 已知周期数列
满足
.若
,
,则当该数列的周期最小时,数列的前2002项的和是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c163f3a529d547440bc9da0c6f778d1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baa6640bf827e7cc4b8867592be8d94.png)
A.2002 | B.1335 | C.1949 | D.1428 |
您最近一年使用:0次
4 . 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
5 . 设
的最小正周期为6,则
的值是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fad1b1d0b0824b0a404e8ea3275d7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aef3d0e10a1ebce0e757fc044349726.png)
A.0 | B.1 | C.![]() | D.![]() |
您最近一年使用:0次
2010高二·河南·竞赛
6 . 设
,记
.若
,则
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa21afadc5d63c3e8ae8e4f8344d0e54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66a88cbaed58dcf9671ba9240359b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47758fd032883f8fbded2ca2fe374df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ecebf148a7323af0080dc4e0325bd8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 在数列
中,
、
是给定的非零整数,
.
(1)若
,
,求
;
(2)证明:从
中一定可以选取无穷多项组成两个不同的常数项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a97aa79f9746d819f37958c3f240965.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfdc9cd3cb5da94e9362d1a2c59d4fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868acdf60e6f465c8dfff1d4a94efdd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08be9681cf2689ffe4049c6dbb7b171f.png)
(2)证明:从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
8 . 已知
(
),
为正整数.则
的个位数字为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f327681f4bb06b3eed9de1a1617895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76d72866f9b837788e699315a20434e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 .
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