轴对称直线方程的简捷求法 |
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作者姓名: | 张仲轩 |
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作者单位: | 吉林市吉化炼油厂教育科 132022 |
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摘 要: | 由曲线关于直线的对称变换 定理 曲线f(x,y)=0关于定直线Ax By C=0的对称曲线是:f(x-(2A(Ax By C))/(A~2 B~2), y-(2B(Ax By C))/(A~2 B~2))=0。 (证明略) 由此可知,直线ax by c=0关于直线Ax By C=0的对称直线是:a[x-(2A(Ax By C))/(A~2 B~2)] b[y-(2B(Ax By C))/(A~2 B~2)] C=0,整理之不难得到:
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