<image>As shown in the figure, a perpendicular line to the x-axis is drawn through point \( A(1,0) \), intersecting the reciprocal function \( y= \dfrac {k}{x} \) (for \( x > 0 \)) at point \( M \). It is known that the area of triangle \( AOM \) is \( 3 \).

(1) Find the value of \( k \); 
(2) Assuming the coordinates of point \( B \) are \( (t,0) \), if vertex \( A \)B\ is one side of the square \( ABCD \) which has a vertex on the graph of the reciprocal function, find the value of \( t \).