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求点关于直线的对称点的坐标步骤

更新时间: 2020-09-15 00:00:00     

1、设出所求点的坐标A,根据所设的点A和已知点B,可以表示出对称点的坐标C,且此对称点在直线上。所以将此点代入直线,此为第一个式子;

2、再根据点AB组成的直线与所知直线相垂直,列出两直线的斜率之积为-1,可得第二个式子;

3、根据这两个式子,可以求出a和b,即所求点的坐标;

2、联立二元一次方程1和2,得二元一次方程组,解得a和b值,即所求对称点A的坐标。

关键词: 关于 直线 对称 坐标 步骤

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