五道分式方程数学题1.已知x^2-2xy+y^2=0(xy不等于0),则x/y+y/x的值是?2.已知x/y=3/4,则(x-y)/y的值是?3.已知|x|/(x-2)=x/(2-x),则x应满足?4.已知a+b=3,ab=1,则a/b+b/a的值等于?5.若y/x=3,则(x+y)/(x-y)=?

Question

五道分式方程数学题
1.已知x^2-2xy+y^2=0(xy不等于0),则x/y+y/x的值是?
2.已知x/y=3/4,则(x-y)/y的值是?
3.已知|x|/(x-2)=x/(2-x),则x应满足?
4.已知a+b=3,ab=1,则a/b+b/a的值等于?
5.若y/x=3,则(x+y)/(x-y)=?

Answer 1

1
因为x^2-2xy+y^2=0 可解得x=y所以x/y+y/x=2
2
设x=3k y=4k 则(x-y)/y=-k/4k=-1/4
3
因为|x|/(x-2)=-x/(x-2)所以x小于或等于0
4
a/b+b/a=(a^2+b^2)/ab=7
5
设y=3k x=k 则(x+y)/(x-y)=-2