急~Amath~help!!!

識一題都幫下手,thx~~

1) Q is a varible point on the curve xy=4. OQ is joined and produced to P such that PQ=(1/2)OQ, where O is the origin. Find thw equation of the locus of P.

2) A line passing through the point (1,0) cuts the curve y²=4x at two points A and B. Find the equation of the locus of the mid-point of AB as the line moves.