已知x/y+x=a,y/z+x=b.见图!

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/20 11:26:43
已知x/y+x=a,y/z+x=b.见图!
xNQ_MI;{}U#JM

已知x/y+x=a,y/z+x=b.见图!
已知x/y+x=a,y/z+x=b.见图!
 

已知x/y+x=a,y/z+x=b.见图!

a+1=(x+y+z)/(y+z)
1/(a+1)=(y+z)/(x+y+z)
a/(a+1)=a(y+z)/(x+y+z)=x/(x+y+z)
同理:b/(b+1)=b(x+z)/(x+y+z)=y/(x+y+z)
c/(c+1)=c(x+y)/(x+y+z)=z/(x+y+z)
原式=(x+y+z)/(x+y+z)=1能给图吗?额,你采纳了复杂算法 = ...

全部展开

a+1=(x+y+z)/(y+z)
1/(a+1)=(y+z)/(x+y+z)
a/(a+1)=a(y+z)/(x+y+z)=x/(x+y+z)
同理:b/(b+1)=b(x+z)/(x+y+z)=y/(x+y+z)
c/(c+1)=c(x+y)/(x+y+z)=z/(x+y+z)
原式=(x+y+z)/(x+y+z)=1

收起