(1)
m=-k
m+3√3=k/2
k=2√3
y=2√3/x
(2)
A(-1,-2√3)
B(2,√3)
C(-1,0)
D(a,b)
AC‖BD:
ab=2√3
b=√3
a=2
D(2,√3)(与B点重合,舍去)
AB‖CD:
ab=2√3
(-2√3-√3)/(-1-2)=(0-b)/(-1-a)
a=1,b=2√3
a=-2,b=-√3
D(1,2√3)或D(-2,-√3)
AD‖BC:
ab=2√3
(-2√3-b)/(-1-a)=(√3-0)/(2+1)
a=6,b=√3/3
a=-1,b=-2√3
D(6,√3/3)
D(-1,-2√3)(与A点重合,舍去)
D(1,2√3)或D(-2,-√3)或D(6,√3/3)