(y-y1)/(x-x1)=(y2-y1)/(x2-x1) ,令(y2-y1)/(x2-x1)=A;
(y-y3)/(x-x3)=(y4-y3)/(x4-x3) ,令(y4-y3)/(x4-x3)=B;
y-y1 = Ax-Ax1 -------------------------------(1)
y-y3 = Bx-Bx3-------------------------------(2)
(1)-(2).
y3-y1=(A-B)x-Ax1+Bx3
x=[y3-y1+Ax1-Bx3]/(A-B)----------------------(3)
从(1), By-By1=ABx-ABx1----------------------(4)
从(2), Ay-Ay3=ABx-ABx3-----------------------(5)
(4)-(5)
y(B-A)-By1+Ay3=ABx3-ABx1
y={AB(x3-x1)+By1-Ay3}/(B-A)---------------(6)
答案见: (3),(6)