1 . 已知正整数
、
满足等式
.则数
与
的情况是.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5be519b8c14f4ae6f38dddd396ba026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55405933a79b37b6498af53dd3570c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc4f882febb1325453fb50cc9806f9b.png)
A.都是有理数 | B.都是无理数 |
C.一个是有理数,一个是无理数 | D.以上三种情况都可能出现 |
您最近一年使用:0次
2006高二·河南·竞赛
2 . 已知
、
、
都是质数,并且
有唯一的值和它对应,则
只能取.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17925653c433311ab7c4ccb5062bc36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaacfaef44a654c0a1c283ef03fc0550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.40 | B.44 | C.74 | D.86 |
您最近一年使用:0次
3 . 已知a、b、c、d是偶数,且
,
,a、b、c成等差数列,b、c、d成等比数列,则a+b+c+d=.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b98288d2e9f0694142bea687e1c740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed92e74c39845c4542ba6721dcc7575.png)
A.384 | B.324 | C.284 | D.194 |
您最近一年使用:0次
4 . 若两个整数
、
满足方程
,①就称数组
为方程①的一组整数解.则方程①的整数解的组数为.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/456a479ea600e938778f38f8796ee014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
A.0 | B.1 | C.2 | D.2006 |
您最近一年使用:0次
5 . 使
和
都是整数的正数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c58c11fe9b7eb5712c343860f63a5e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6158fbaa75c814ff16998ffa8b04ead4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.不存在 | B.只有一个 | C.只有两个 | D.有无穷多个 |
您最近一年使用:0次
6 . 存在
,
,…,
满足
,且使
成立的充要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96f3d4576d83a3e4cdc09daf763f622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d726f1561b3b06a207b3c40dc42b9df.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 若既约分数
化为小数是
,则当
最小时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad4e172cdc75b53884b5d8aefb403de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a56c7e53b06fa8bdbabb7c6ad934f47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
A.9 | B.7 | C.5 | D.2 |
您最近一年使用:0次
8 . 某学生从一楼到三楼去上课,共有30级楼梯.但他在楼梯上随意地进步退步,当他从第1级起登上第9级时停了下来,心想:如果把后退的步全变成前进的步,自己此时①可能站在第30级上了②不可能站在第30级上③不可能站在第29级上④可能站在第28级上.其中一定正确的叙述是.
A.① | B.② | C.③ | D.④ |
您最近一年使用:0次
9 . 设a是整数,且
也是整数.则所有这样的a的个数是.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f34809111e3e011512c0e134fb157e5.png)
A.2 | B.3 | C.4 | D.5 |
您最近一年使用:0次
10 . 对正整数n而言,
是
的.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6264f206ee5bc1290c149539934b4c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/465bb5f234b6e0c4eadcba3263162dc0.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次