m^2-2m=1,n^2-2n=1,m,n是两个不等的实数
∴m,n是方程x²-2x=1的根
x²-2x-1=0
m+n=2,mn=-1
2m^2+4n^2-4n+2011
=2×(2m+1)+4(2n+1)-4n+2011
=4m+2+8n+4-4n+2011
=4m+4n+2017
=4×2+2017
=2025为神马2m^2和4n^2化简后就没平方了？m^2-2m=1,n^2-2n=1m^2=2m-1,n^2=2n-1降次了