
解:依题意设P点坐标(XP,0),Q点坐标(0,yQ)以点A,B,P,Q四个点为顶点的四边形是平行四边形直线AB斜率kab=[2-(-4)]/[(3-(-1)]=3/2直线PQ平行直线AB过PQ的直线斜率=yQ/(-XP)=3/2,xp=2/3*yQ又PQ=AB,则yQ²+xp²=6²+4²yQ²+4/9*yQ²=52解得yQ=±6∴Q点的坐标是(0,6)或(0-6)

解:依题意设P点坐标(XP,0),Q点坐标(0,yQ)以点A,B,P,Q四个点为顶点的四边形是平行四边形直线AB斜率kab=[2-(-4)]/[(3-(-1)]=3/2直线PQ平行直线AB过PQ的直线斜率=yQ/(-XP)=3/2,xp=2/3*yQ又PQ=AB,则yQ²+xp²=6²+4²yQ²+4/9*yQ²=52解得yQ=±6∴Q点的坐标是(0,6)或(0-6)