分式性质的数学题?~~~不会做

来源:百度知道 编辑:UC知道 时间:2024/05/14 12:05:16
已知xy/x+y=1/2,求分式3x-xy+3y/x-xy+y的直```
55555``谁教我厄~

xy/x+y=1/2可以得到x+y=2xy
代入(3x-xy+3y)/(x-xy+y)=[3(x+y)-xy]/[(x+y)-xy]=(6xy-xy)/(2xy-xy)=5xy/xy=5

xy/x+y=1/2
xy=1/2(x+y)
2xy=x+y
(3x-xy+3y)/(x-xy+y)=(3x+3y-xy)/(x+y-xy)=[3(x+y)-xy]/(x+y-xy)=(6xy-xy)/(2xy-xy)=5xy/xy
因为x不等于零,y不等于零,所以xy不等于零
所以5xy/xy=5

xy/x+y=1/2推出xy = (x+y)/2
3x-xy+3y/x-xy+y
= [3(x+y) - xy]/[(x+y)-xy]
= [3(x+y) - (x+y)/2]/[(x+y)-(x+y)/2]
= (5/2)/(1/2)
= 5

xy/x+y=1/2得到:x+y=2xy
将x+y=2xy代入3x-xy+3y/x-xy+y=3(x+y)-xy/x+y-xy
将x+y=2xy代入得:6xy-xy/2xy-xy=5

已知xy/x+y=1/2,求分式3x-xy+3y/x-xy+y
∵xy/x+y=1/2
xy=(x+y)/2
∴3x-xy+3y/x-xy+y
=[3(x+y)-xy]/[(x+y)-xy]
=[3(x+y)-(x+y)/2]/[(x+y)-(x+y)/2]
=[5(x+y)/2]/[(x+y)/2]
=5