论文部分内容阅读
人教A版数学选修2-1第二章《圆锥曲线与方程》有这样相关联的两道例题:例1如图1,设点A、B的坐标分别是(-5,0),(5,0).直线AM、BM相交于点M,且它们的斜率之积是-4/9,求点M的轨迹方程.例2如图2,点A、B坐标分别是(-5,0),(5,0),直线AM、BM相交于点M,且它们的斜率之积是4/9,试求点M的轨迹方程,并由点M的轨迹方程判断轨迹的形状,与例
People teach A version of mathematics elective 2-1 Chapter 2 “Conical curve and equation” There are two related examples of this connection: Example 1 In Figure 1, set the coordinates of points A, B are (-5,0), ( 5,0). The lines AM and BM intersect at the point M, and the product of their slopes is -4/9, and the trajectory equation of the point M is calculated. Example 2 is shown in Fig. 2. The points A and B are respectively (-5, 0), (5,0), the lines AM and BM intersect at the point M, and the product of their slope is 4/9. Try to find the trajectory equation of the point M, and determine the shape of the trajectory from the trajectory equation of the point M, and example