直线y=ax(a>0)与双曲线y=3/x交于A(x1,y1),B(X2,Y2),则4x1y2-2x2y1=?
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![直线y=ax(a>0)与双曲线y=3/x交于A(x1,y1),B(X2,Y2),则4x1y2-2x2y1=?](/uploads/image/z/14762889-9-9.jpg?t=%E7%9B%B4%E7%BA%BFy%3Dax%28a%26gt%3B0%29%E4%B8%8E%E5%8F%8C%E6%9B%B2%E7%BA%BFy%3D3%2Fx%E4%BA%A4%E4%BA%8EA%28x1%2Cy1%29%2CB%28X2%2CY2%29%2C%E5%88%994x1y2-2x2y1%3D%3F)
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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