> 数学 >
①已知1/x-1/y=3,求5x+xy-5y/x-xy-y的值.
②已知m>n>0,m^2+n^2=4mn,求m^2-n^2/mn的值.(请把这两道分式题的推算过程写详细些,)
人气:281 ℃ 时间:2020-06-27 01:28:34
解答
∵1/x-1/y=3∴y-x=3xy(5x+xy-5y)/(x-xy-y)=(5x-5y+xy)/(x-y-xy)=(-15xy+xy)/(-3xy-xy)=3.5∵m²+n²=4mn∴m²+n²-2mn=2mn∴(m-n)²=2mn又∵m>n>0∴m-n=√(2mn)∵m²+n²=4mn∴m²...请问一下, (5x-5y+xy)/(x-y-xy)=(-15xy+xy)/(-3xy-xy)是怎么推理出来的呢?∵y-x=3xy∴x-y=-3xy将x-y=-3xy代入即可
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版