当x=0时,(m+3)y-(m-11)=0,
y=(m-11)/(m+3),
B点坐标为(0,(m-11)/(m+3)),
y=0,(2m-1)x=m-11,x=(m-11)/(2m-1),
A点坐标((m-11)/(2m-1),0),
因直线过定点(2,-3),
代入原直线方程,可得,m可取任意实数,
S△AOB=|OA|*|OB|/2
=[(m-11)/(2m-1)]*[(m-11)/(m+3)]/2
=(1-1/m^2)^2/[(2-1/m)(1+3/m)]/2,
当m→∞时,面积有最小值,
S△AOB=1/4.