( 1)A(4，2) k=4*2=8

(2) Cutting method, s length =32 s triangle =32-4-4-9= 15.

(3) Similarly, draw a straight line on PQ and cross a hyperbola, and let it be P(X, 8/X).

The total area of the cutting triangle is s = (8/x+2) (x+4) *1/2 * 2+(4-x) (8/x-2) = 4x+64/x.

The area of a large rectangle is s = 8 * 2 * 8/x =128/x.

The big subtraction is quadrilateral area = 128/X-(64/X+4X)=24.

Solve x=2 or x=-8 (rounding) p (2 2,4)

Another case is that P is to the right of point A, but it does not exist after calculation.