当x>=1时,y1>=x+1>=2,y2>=2(x-1)>=0,根据不等式的性质知:x>=1,y>=2
故x^2+y^2的最小值为5
也可以通过图像来处理,这是一道线性规划题
x>=1x-y+1<=0x+1<=y2x-y-2<=0-y<=2-2xy>=2(x-1)2(x+1)=x+1x=-1无解