由m,n是两个不相等的实数,且满足m2－2m＝1,n2－2n＝1,可知m,n是x2－2x－1＝0两个不相等的实数根.则m＋n＝2,又m2＝2m＋1,n2＝2n＋1 2M2+4N2-4N+1999 =2(2M+1)+4(2N+1)-4N+1999 =4M+2+8N+4-4N+1999=4(M+N)+2005 =4*2+2...