直线y=ax(a>0)与双曲线y=3/x交于A(x1,y1),B(X2,Y2),则4x1y2-2x2y1=?

直线y=ax(a>0)与双曲线y=3/x交于A(x1,y1),B(X2,Y2),则4x1y2-2x2y1=?
直线y=ax(a>0)与双曲线y=3/x交于A(x1,y1),B(X2,Y2),则4x1y2-2x2y1=?

直线y=ax(a>0)与双曲线y=3/x交于A(x1,y1),B(X2,Y2),则4x1y2-2x2y1=?
y=ax=3/x
∴ax²-3=0
∴x1x2=-3/a
∵y2=ax2 y1=ax1
∴4x1y2-2x2y1=4x1*ax2-2x2*ax1=2ax1x2=2a*(-3/a)=-6