若1+x与1+y互为倒数,且xy不等于0,则1/x+1/y=
问题描述:
若1+x与1+y互为倒数,且xy不等于0,则1/x+1/y=
答
1+x=1/(1+y);
1+x+y+xy=1;
x+y+xy=0;
x+y=-xy;
1/x+1/y=(x+y)/(xy)=-1;