题目内容
若2012=
,其中
为两两不等的非负整数,令
=sin
,
=cos
,
=tan
,则
的大小关系是 ( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823203959954618.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823203959986550.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000048271.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000095606.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000126335.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000095606.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000157237.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000095606.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000204504.png)
A.![]() | B.![]() | C.![]() | D.![]() |
B
因为
,
,所以
是0到10之间的整数且![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000407773.png)
不妨设
,所以![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040004381071.png)
因为
,
,所以
是0到9之间的整数且![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000532775.png)
不妨设
,所以![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040005941075.png)
因为
,
,所以
是0到8之间的整数且![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000781792.png)
不妨设
,所以![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040008441049.png)
因为
,
,所以
是0到7之间的整数且![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204001109784.png)
不妨设
,所以![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204001156948.png)
而![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040011871047.png)
所以
,则![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040012341239.png)
所以![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040012491402.png)
因为
是第四象限角,所以
,所以
,故选B
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000329903.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000344932.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000376541.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000407773.png)
不妨设
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000422465.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040004381071.png)
因为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000469900.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000485960.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000500573.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000532775.png)
不妨设
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000563479.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040005941075.png)
因为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000610904.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000625905.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000734574.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000781792.png)
不妨设
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000797521.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040008441049.png)
因为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204000906819.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204001078825.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204001093597.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204001109784.png)
不妨设
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204001140516.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204001156948.png)
而
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040011871047.png)
所以
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040012021029.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040012341239.png)
所以
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232040012491402.png)
因为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204001280926.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204001296737.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823204001312482.png)
![](http://thumb.zyjl.cn/images/loading.gif)
练习册系列答案
相关题目