楼主的意思是求(x+1/(2y))^2+(y+1/(2x))^2的最小值吧.(x+1/2y)^2+(y+1/2x)^2=x^2+x/y+1/(4y^2)+y^2+y/x+1/(4x^2)=[x^2+1/(4x^2)]+[y^2+1/(4y^2)]+(x/y+y/x)>=2sqrt(x^2 * 1/(4x^2))+2sqrt(y^2+1/(4y^2))+2sqrt(x/y *...