m:2X-Y-3=0
n:x+y-3=0
解得交点坐标是(2,1)
(1)设过交点与L平行的直线方程是x+2y+k=0
(2,1)代入得到2+2+k=0,k=-4
即直线方程是x+2y-4=0
(2)设过交点的直线方程是y-1=k(x-2)
令X=0,得到y=1-2k,令Y=0,得到X=-1/K+2
S=1/2|1-2k|*|-1/k+2|=4
|-1/k+2+2-4k|=8
-1/k-4k+4=8或-1/k-4k+4=-8
-1/k-4k=4或-1/k-4k=-12
4k^2+4k+1=0或4k^2-12k+1=0
(2k+1)^2=0 k^2-3k+1/4=0
k=-1/2 (k-3/2)^2=2
k=3/2(+/-)根号2
所以,直线的方程是:y-1=-1/2(x-2)
即是y=-1/2x+2
或者说是y=[3/2(+/-)根号2](X-2)+1