(1) 直线L与直线y=-4/3x-1平行,则直线L的斜率为:-4/3
L方程:y=-4/3(x-6)
y=-4/3x+8
B:x=0 y=-4/3*0+8=8 B(0,8)
(2) 设D(d,-4/3d+8) (0
DE平行于BO: D、E的横坐标相同,E(d,0)
CE平行于AB: kCE=-c/d=-4/3 c=4/3d,,,,(1)
BE垂直于CD:kBE*kCD=-1
(8-0)/(0-d)*(-4/3d+8-c)/(d-0)=-1
-32/3d+64-8c=d²....(2)
d²+32/3d+8*4/3d=64
d²+64/3d=64
(d+32/3)²=64+(32/3)²=1600/9
d+32/3=±40/3
d=(-32±40)/3
∵0
-4/3d+8=-4/3*8/3+8=40/9
D(8/3,40/9)