a/b=c/d=e/f=3/4 1.(a+b+e)/(b+d+f) 2.(a-c-e)/(b-d-f) 3.(a+2c-3e)/(b+2d-3f)
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a/b=c/d=e/f=3/4,
所以a=(3/4)b,c=(3/4)d,e=(3/4)f.
所以:
1
(a+c+e)/(b+d+f)=[(3/4)*(b+d+f)]/(b+d+f)=3/4.
2
(a-c-e)/(b-d-f)=[(3/4)*(b-d-f)]/(b-d-f)=3/4.
3
(a+2c-3e)/(b+2d-3f)=[(3/4)*(b+2d-3f)]/(b+2d-3f)=3/4.
所以a=(3/4)b,c=(3/4)d,e=(3/4)f.
所以:
1
(a+c+e)/(b+d+f)=[(3/4)*(b+d+f)]/(b+d+f)=3/4.
2
(a-c-e)/(b-d-f)=[(3/4)*(b-d-f)]/(b-d-f)=3/4.
3
(a+2c-3e)/(b+2d-3f)=[(3/4)*(b+2d-3f)]/(b+2d-3f)=3/4.
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