已知x:y:z=2:3:4,求(1)(x+2y)/y的值;(2)(x+2y+3z)/(3x-2y-z)的值.
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已知x:y:z=2:3:4,求(1)(x+2y)/y的值;(2)(x+2y+3z)/(3x-2y-z)的值.已知x:y:z=2:3:4,求(1)(x+2y)/y的值;(2)(x+2y+3z)/(3x-
已知x:y:z=2:3:4,求(1)(x+2y)/y的值;(2)(x+2y+3z)/(3x-2y-z)的值.
已知x:y:z=2:3:4,求(1)(x+2y)/y的值;(2)(x+2y+3z)/(3x-2y-z)的值.
已知x:y:z=2:3:4,求(1)(x+2y)/y的值;(2)(x+2y+3z)/(3x-2y-z)的值.
x:y:z=2:3:4
所以y=3x/2,z=2x
所以(x+2y)/y
=(x+3x)/(3x/2)
=4/(3/2)
=8/3
(x+2y+3z)/(3x-2y-z)
=(x+3x+6x)/(3x-3x-3x)
=10/(-3)
=-10/3
设X=2A,由X:Y:Z=2:3:4得Y=3A,Z=4A,
则(1)(X+2Y)/Y=(2A+2*3A)/3A=8/3;
(2)(X+2Y+3Z)/(3X-2Y-Z)=(2A+2*3A+3*4A)/(3*2A-2*3A-4A)=20/(-4)=-5.
因为 x:y:z=2:3:4,
所以 可设 x=2k, y=3k, z=4k,
则 (1)(x+2y)/y=(2k+6k)/3k=8k/3k=8/3,
(2) (x+2y+3z)/3x--2y--z)=(2k+6k+12k)/(6k--6k--4k)=20k/(--4k)=--5。
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