x*x+3xy-4y*y=0 求(x-y)/(x+y)给点思路就行
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x*x+3xy-4y*y=0 求(x-y)/(x+y)给点思路就行
x*x+3xy-4y*y=0 求(x-y)/(x+y)
给点思路就行
x*x+3xy-4y*y=0 求(x-y)/(x+y)给点思路就行
答:
x²+3xy-4y²=0
(x+4y)(x-y)=0
所以x=-4y,或x=y
当x=-4y时,(x-y)/(x+y)=-5y/-3y=5/3
当x=y时,(x-y)/(x+y)=0
所以(x-y)/(x+y)=0或5/3
根据x*x+3xy-4y*y=0求出x与y的比值为-4或1
(x-y)/(x+y)分数线上下同时除以y就可化成x与y的比值的形式,代进去结果为5/3或0
不过这一类的题目有时候会有舍去一个根的情况,做题的时候要小心还有没有其他的约束条件
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