已知x/2=y/3,你能用两种方法计算x^2-y^2/x^2-2xy-3y^2的值吗?

问题描述:

已知x/2=y/3,你能用两种方法计算x^2-y^2/x^2-2xy-3y^2的值吗?
1个回答 分类:数学 2014-11-16

问题解答:

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已知x/2=y/3,你能用两种方法计算x^2-y^2/x^2-2xy-3y^2的值吗?
x/2=y/3
x=2y/3
y=3x/2
(x²-y²)/(x²-2xy-3y²)
=(x-y)(x+y)/(x-3y)(x+y)
=(x-y)/(x-3y)
当x=2y/3时
=(2y/3-y)/(2y/3-3y)
=-1/3y/(-7/3y)
=1/7
当y=3x/2时
(x-y)/(x-3y)
=(x-3x/2)/(x-3*3x/2)
=-1/2x/(-7/2x)
=1/7
 
 
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