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1方法回顾提炼文[1]中提炼出一种解决“直线与圆锥曲线相交弦”有关问题的行之有效的特殊方法——构造“关于y/x的二次方程”.其具体方法如下:若直线l与圆锥曲线C相交于不同两点P(x_1,y_1)和Q(x_2,y_2),当求解与k_(OP)、k_(OQ)相关的问题时,可以设直线l的方程为y =kx+6,当b≠0时,可将其化为(y-kx)/b=1,
1 Method review The refinement [1] extracts a special method that is effective for solving the problem of “intersecting strings and conic curves”—construction “quadratic equations about y/x”. The specific method is as follows: If the line l intersects the conic curve C at two different points P (x_1, y_1) and Q (x_2, y_2), a straight line can be set when solving the problems related to k_(OP) and k_(OQ). The equation for l is y =kx+6. When b≠0, it can be converted to (y-kx)/b=1.