已知x(y+z)/27=y(x+z)/32=z(x+y)/35,求z^2/x^2+y^2
问题描述：
已知x(y+z)/27=y(x+z)/32=z(x+y)/35,求z^2/x^2+y^2
答
令x(y+z)/27=y(x+z)/32=z(x+y)/35=kxy+xz=27kxy+yz=32kxz+yz=35k相加2(xy+yz+zx)=94kxy+yz+zx=47k分别减去xy+xz=27kxy+yz=32kxz+yz=35kyz=20k,zx=15k,xy=12ky=20k/z,x=15k/zxy=300k^2/z^2=12k25k/z^2=1z^2=25ky=20k/...