∵x+y=4∴(x+y)/4=1 ∵1/x+4/y =(x+y)/4x+(x+y)/y =1/4+y/4x+x/y+1=5/4+2√(y/4x*x/y)≥9/4 ∵(1/x+4/y)最小值≥m ∴m≤9/4