Question

若a分之b=c分之d=e分之f=n分之m

Answer 1

设b/a=d/c=f/e=m/n=k

则b=ak,d=ck,f=ek,m=nk,

所以(b+d+f+m)/(a+c+e+n)=(ak+ck+ek+nk)/(a+c+e+n)=k

b/a=(b+d+f+m)/(a+c+e+n)

这是等比性质.