x/3=y/4=z/6求(xy+yz+xz)/x2+y2+z2=?

问题描述:

x/3=y/4=z/6求(xy+yz+xz)/x2+y2+z2=?

设x/3=y/4=z/6=t x=3t,y=4t,z=6t (xy+yz+xz)/x2+y2+z2=(12t+24t+18t)/(9t+16t+36t)=54/61