如果x=3y,z=x/2,那么(x-y+z)/(x+y+z)=多少?

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如果x=3y,z=x/2,那么(x-y+z)/(x+y+z)=多少?
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如果x=3y,z=x/2,那么(x-y+z)/(x+y+z)=多少?
如果x=3y,z=x/2,那么(x-y+z)/(x+y+z)=多少?

如果x=3y,z=x/2,那么(x-y+z)/(x+y+z)=多少?
x=3y
y=x/3

(x-y+z)/(x+y+z)
=(x-x/3+x/2)/(x+x/3+x/2)
=(x-2x/6+3x/6)/(x+2x/6+3x/6)
=x(6/6-2/6+3/6)/x(6/6+2/6+3/6)
=x/x*(7/6)/(11/6)
=7/11

x=3y,z=x/2=3y/2,
(x-y+z)(x+y+z)
=(3y-y+3y/2)(3y+y+3y/2)
=(7y/2)(11y/2)
=77y^2/4
(y^2:y的平方)

7/11
z=x/2=3y/2
带入 约掉y即得