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1.问题的提出下面是我校一位高三老师开设市级公开课时的一道例题,学生的解答不是十分顺利,我对学生的想法做了分析,并对这道题进行了反思和拓展.例如图1,在平面直角坐标系xOy中,椭圆C:x~2/a~2+y~2/b~2=1(a>b>0)的左焦点为F,右顶点为A,动点M为右准线上一点(异于右准线与x轴的交点),设线段FM交椭圆C于点P,已知椭圆C的离心率为2/3,点M的横坐标为9/2.
1. Proposed Question The following is an example of a city-level open class taught by a third-year high school teacher. The students ’answers were not very satisfactory. I analyzed the students’ thoughts and conducted some reflection and expansion on this topic. 1, the left focus of elliptic C: x ~ 2 / a ~ 2 + y ~ 2 / b ~ 2 = 1 (a> b> 0) is F and the right vertex is A in plane rectangular coordinate system xOy M is the right point on the right point (different from the right and the x-axis intersection of the quasi-axis), set the line cross section C FM at point P, known elliptical C eccentricity 2/3, the abscissa of point M 9 /2.