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20 12 Guangzhou Mathematics Grade Two Final Exam Question 23
Solution: A (2,0) and B (0 0,2) can be found when the straight line y=x-2 intersects the axis at point A and point B.

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.