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《椭圆及其标准方程》教学案例(国外英文资料)
《椭圆及其标准方程》教学案例(国外英文资料)
The teaching case of ellipse and its standard equation
Ming Ji Zhang
I. the position and function of teaching materials
Status: this section is a conic fourth class, the students had a straight line and circle equation, and the concept of curves and equations of understanding, and learn the geometric properties and using coordinate method study curve equation. The simple elliptic learning provides the basic mode and theoretical basis for future research hyperbolic and parabolic. Therefore, this section has the function of connecting the past and the future, and it is also one of the key contents of this chapter.
Effects: this section is of great significance for further understanding the concepts of curves and equations, deepening the combination of numerical and mathematical forms
Two, learning situation analysis
After studying the equations of the straight line and the circle, the students have a further understanding of the nature of the method of coordinate study of curves, and have the ability to solve the new problems with the old knowledge. But because of the basis of poor students in ordinary schools, the ability to control the knowledge is relatively weak. Therefore, in the process of teaching, teachers must be carefully inspired and guided, so as to stimulate students interest in learning, and give full play to their subjective initiative, in order to achieve the desired purpose of teaching.
Three, teaching objectives
Knowledge goal: grasp the definition of ellipse, understand the derivation process of elliptic standard equation, and master the standard equation.
Ability goal: to consolidate the steps and methods of finding the curve equation, and to further study the nature of the curve by algebraic method, and to further cultivate students ability to change consciousness and transform
The emotion goal: in the harmonious atmosphere of teaching, through exchanges and cooperation between students and teachers, to achieve the common in
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