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

题目

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

答案

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)/(...