As shown in the figure, the point P (a, b) is on a branch of the image with the inverse scale function y = x / K. PA is perpendicular to the X axis, and the perpendicular feet are a, B respectively. The area of the rectangular aobp is 2, and the solution of K is obtained The process is complete

As shown in the figure, the point P (a, b) is on a branch of the image with the inverse scale function y = x / K. PA is perpendicular to the X axis, and the perpendicular feet are a, B respectively. The area of the rectangular aobp is 2, and the solution of K is obtained The process is complete

S rectangle = |ab|,
And P (a, b) is on hyperbola,
∴b=k/a
k=ab,
∴|K|=2,
K=±2