Question

已知y+z分之x=a,z+x分之y=b,x+y分之z=c,且x+y+z≠0,求1+a分之a加1+b分之b加1+c分之c的

Answer 1

∵y+z分之x=a,z+x分之y=b,x+y分之z=c,且x+y+z≠0,

∴a/﹙1+a﹚=x/﹙x+y+z﹚

b/﹙1+b﹚=y/﹙x+y+z﹚

c/﹙1+c﹚=z/﹙x+y+z﹚

1+a分之a加1+b分之b加1+c分之c

=﹙x+y+z﹚/﹙x+y+z﹚

=1