题目内容
当x,y满足
(k为常数)时,使z=x+3y的最大值为12的k值为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180618950385.png)
A.-9 | B.9 | C.-12 | D.12 |
A
画出
的平面区域,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318061898138940.png)
将目标函数变形为y=-
x+
z,画出其相应的直线,
由
得
当直线y=-
x+
z平移至A(3,3)时z最大为12,
将x=3,y=3代入直线2x+y+k=0得:
k=-9
故选A.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231806189651061.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082318061898138940.png)
将目标函数变形为y=-
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180619059327.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180619059327.png)
由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180619090825.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180619106661.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180619059327.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823180619059327.png)
将x=3,y=3代入直线2x+y+k=0得:
k=-9
故选A.
![](http://thumb.zyjl.cn/images/loading.gif)
练习册系列答案
相关题目