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一、鼓励参与,培养主体意识数学教学的本质是数学思维活动的教学,教师是全部教学活动的组织者．如我在复习曲线对称问题时,提出问题：(1)点(x,y)关于点(a,b)的对称点坐标是什么?曲线f(x,y)=0关于点(a,b)的对称曲线是什么?由学生思考、学生回答、教师讲解．(2)设抛物y=x~2-1上存在关于直线L：x+y=0对称的相异两点,求这两点坐标.师生共同分析点关于直线对称问题的一般解法及特殊直线的特殊求法,由学生解答．(3)若改y=x~2-1为y=(1/2)x~2-1,抛物线上是否还存在关于直线对称的两
I. Encourage participation, cultivate subject consciousness The essence of mathematics teaching is the teaching of mathematic thinking activities, and teachers are the organizers of all teaching activities. As I am reviewing the problem of curve symmetry, ask the question: (1) What is the point (x,y) about the point of symmetry of point (a,b)? Curve f(x,y)=0 About point (a,b What is the symmetry curve of )? Think by the student, answer by the student, explain by the teacher. (2) Let the parabola y=x~2-1 have two points that are different about the symmetry of the straight line L:x+y=0, and find the coordinates of these two points. The common solution points of teachers and students are general solutions to the problem of linear symmetry and special The special method of straight line is answered by the student. (3) If y=x~2-1 is changed to y=(1/2)x~2-1, is there any two symmetrical lines on the parabola?