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20 1 1 Zunyi senior high school entrance examination 18 How to do the math test?
Solution: let CE⊥AO be in e, DF⊥CE be in f,

∵ hyperbola y 1= 1/x (x > 0), y2 = 4/x (x > 0), and the axis of PA⊥x is at point A, the axis of PB⊥y is at point B, and PA and PB are respectively with hyperbola y1.

The area of rectangular BCEO is xy= 1,

∫BC×BO = 1,BP×BO=4,

∴BC=BP/4,

∫ao×AD = 1,AO×AP=4,

∴AD=AP/4,

∵PA? PB=4,

∴3PB/4×3PA/4=9PA? PB/ 16 = CP×DP = 9/ 16×4 = 9/4,

∴△△△ The area of PCD is nine eighths of it.

So the answer is: 9/8.