已知a/b=c/d=e/f=3/4,求a+2c+3e/2b+4d+6f的值.

问题描述:

已知a/b=c/d=e/f=3/4,求a+2c+3e/2b+4d+6f的值.

已知a/b=c/d=e/f=3/4,
则a=(3/4)b, c=(3/4)d, e=(3/4)f
(a+2c+3e)/(2b+4d+6f)=
=[(3/4)b+2*(3/4)d+3*(3/4)f]/(2b+4d+6f)
=(3/4)*(b+2d+3f)/2(b+2d+3f)
=(3/4)/2
=3/8