Let D(x 1, y 1) and x1>; 0,y 1 & gt; 0。
Because point D is in the image of straight line y=x-2 and inverse proportional function y=9/x,
So y 1=x 1-2.
y 1=x 1/9
After calculation, x 1=( 1+√ 10), (other values are unqualified).
y 1=(√ 10- 1)
By the distance formula between two points:
AD=√2(√ 10- 1)
BD=√2(√ 10+ 1)
Therefore, ad * BD = 2 (√10+1) (√10/) = 2 * (10/) = 2 * 9 = 65438.