如圖,已知點(diǎn)A在反比例函數(shù)y=
的圖象上,點(diǎn)B在反比例函數(shù)y=
(k≠0)的圖象上,AB∥x軸,分別過(guò)點(diǎn)A、B向x軸作垂線(xiàn),垂足分別為C、D,若OC=
OD,則k的值為( ?。?br/>
![](http://hiphotos.baidu.com/zhidao/pic/item/6a600c338744ebf8981d9789daf9d72a6059a71c.jpg)
A. 10
B. 12
C. 14
D. 16
∵AB∥x軸,AC⊥x軸,BD⊥x軸,OC=
OD,
∴設(shè)A(x,y)、B(3x,y);
又∵點(diǎn)A在反比例函數(shù)y=
的圖象上,點(diǎn)B在反比例函數(shù)y=
(k≠0)的圖象上,
∴
,
解得,k=12;
故選B.