(1)y=m/x,y=kx+4,消去y得:kxx+4x-m=0.
设A(x1,y1),B(x2,y2)则 x1+x2=-4/k,x1x2=-m/k.
由于两个三角形等高,有 √2 AB =CD ,C(-4/K,0),D(0,4)
√2 |x1-x2 |√(1+kk )= √(16/kk+16 ),两边平方整理得 mk=-2.
(2)PA⊥ PB ,有y1 y2/ (x1-2)x2-2)=-1,mm/x1x2+x1x2-2(x1+x2)+4=0
x1+x2=-4/k,x1x2=-m/k,mk=-2代入整理得 mm-8m+12=0.
m=6,k=-1/3;或 m=2,k=-1.