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设p点坐标(m,n),p在y=1/(2x)图像上,则有n=1/(2m)
而BE=BM*根号2=(OB-OM)*根号2=(1-m)*根号2,
AF=AN*根号2=(OA-ON)*根号2=(1-n)*根号2
所以BE*AF=(1-m)*根号2*(1-n)*根号2
=2(1-m-n+mn)
=2[1-m-1/(2m)+1/2]
<=2(1-根号2+1/2)
=3-2*根号2
而BE=BM*根号2=(OB-OM)*根号2=(1-m)*根号2,
AF=AN*根号2=(OA-ON)*根号2=(1-n)*根号2
所以BE*AF=(1-m)*根号2*(1-n)*根号2
=2(1-m-n+mn)
=2[1-m-1/(2m)+1/2]
<=2(1-根号2+1/2)
=3-2*根号2
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