求直线 2x－3y＋1=0 关于直线3x－2y＋5=0对称的直线方程求直线 2x－3y＋1=0 关于直线3x－2y＋5=0对称的直线方程

求直线 2x－3y＋1=0 关于直线3x－2y＋5=0对称的直线方程求直线 2x－3y＋1=0 关于直线3x－2y＋5=0对称的直线方程
求直线 2x－3y＋1=0 关于直线3x－2y＋5=0对称的直线方程
求直线 2x－3y＋1=0 关于直线3x－2y＋5=0对称的直线方程

求直线 2x－3y＋1=0 关于直线3x－2y＋5=0对称的直线方程求直线 2x－3y＋1=0 关于直线3x－2y＋5=0对称的直线方程
解;直线2x-3y=-1与x 轴交点为(-1/2.0)
直线2x-3y=-1与3x-2y=-5的交点为（-13/5,-7/5)
直线y=kx+b上与（-1/2,0)对称的点为（-5/3,7/6)
把（-13/5,-7/5) 和(-5/3,7/6)代入y=kx+b中
得k=11/4 b=23/4
直线 y=11x/4+23/4

这个应该有很多的算法吧。
给出我的算法，
1.求出交点A。
2.在2x－3y＋1=0随便找一点，并计算出关于3x－2y＋5=0对称的点B。
3.直线AB即为所求。

由 2x－3y＋1=0和3x－2y＋5=0得它们的交点为(-13/5，-7/5)
设所求的对称直线方程为y-(-7/5)=k[x-(-13/5)]
因为两条直线与对称直线的夹角相等
所以 | (3/2-2/3)/[1+(3/2)*(2/3)] |=| (3/2-k)/(1+3/2*k) |
即k=2/3
所以所求直线方程为y+(7/5)=(2/3)*(x+13/5)

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