z=x²+4y²-3xy≥4xy-3xy=xy所以xy/z≤1.xy/z取得最大值时xy=z且x=2y,所以z=2y².2/x+1/y-2/z=1/y+1/y-1/y² =-1/y²+2/y =-(1/y-1)²+1当y=1时,最大值为1