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1 直线一般式方程的推导推证分两步进行 :1 )平面直角坐标系内任一直线 ,其方程都可写成Ax +By+C =0 (A2+B2 ≠ 0 )的形式 ;2 )任一方程Ax +By +C =0 (A2 +B2 ≠ 0 )在平面直角坐标系内都表示一条直线 .其中要用到结论 :“平面内过一点与一已知直线 (法向量为非零常向量 )垂直
1 The derivation of linear general equations is based on two steps: 1) Any straight line in a rectangular coordinate system, the equations can be written in the form of Ax +By +C =0 (A2+B2 ≠ 0); 2) An equation Ax +By +C =0 (A2 +B2 ≠ 0) represents a straight line in a plane rectangular coordinate system. The conclusion to be used is: "A point and a known straight line in the plane (the normal vector is non-zero Vector) vertical