P1(x1,y1),P2(x2,y2),P3(x3,y3)是双曲线y=-3/x三点,且x1<x2<0<x3 则y1,y2,y3,按有效到达的顺序为
问题描述:
P1(x1,y1),P2(x2,y2),P3(x3,y3)是双曲线y=-3/x三点,且x1<x2<0<x3 则y1,y2,y3,按有效到达的顺序为
求详解
答
y1=-3/x1、y2=-3/x2、y3=-3/x3,因为x1<x2<0,x3>0 ,所以y1=-3/x1>0,y2=-3/x2>0,y3=-3/x3<0,所以y3最小.y1-y2=-3/x1-(-3/x2)=3/x2-3/x1=3((x1-x2)/(x1*x2)),因为x1<x2<0,所以x1-x2<0,x1*x2>0,所以((x1-x2)/(...