Question

如图,已知平行四边形ABOC中,A(2,1)B(4,-3),点C在双曲线y=k/x (k

Answer 1

k=－8

设c(x,y)

OC=AB OC2=x2+y2=AB2=(4-2)2+(1+3)2=20

AC=OB AC2=(2+x)2+(y-1)2=OB2=25

解方程组得x=-2,y=4.故k=-8