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六年制重点中学课本《平面解析几何》的第一章,对高二学生来说是容易掌握的。可是在教学过程中,如果不重视基本概念的教学,过多地进行综合运用的训练,就会影响学生对基本内容的掌握,造成在解题过程中时有错误发生,甚至对个别错误视而不见,认识不清。例如题1 设点P(x_0,y_0)在直线A_x+B_y+C=0上,求证:这条直线方程可写成A(x-x_0)+B(y-y_0)=0。(见课本36页) 误证把原方程化成y=-A/Bx-C/B,
The first chapter of the six-year key middle school textbook “Plane Analytic Geometry” is easy to master for high school students. However, in the teaching process, if you do not pay attention to the basic concept of teaching, and excessively comprehensive training, it will affect the students’ mastery of the basic content, resulting in mistakes in the process of solving problems, even turning a blind eye to individual errors. Unclear understanding. For example, if you set the point P (x_0, y_0) on the straight line A_x+B_y+C=0, verify that the equation of this line can be written as A(x-x_0)+B(y-y_0)=0. (See page 36 of the textbook.) The mistakes were converted to the original equation y=-A/Bx-C/B.