试题经过椭圆x~2/4+y~2/3=1的右焦点任意作弦AB,过A作椭圆右准线的垂线AM,垂足为M,则直线BM必经过定点分析由题可知直线BM必经过定点,作为一道填空题,只需求出此定点即可,无需进行严格的证明.解法1选择两条特殊直线求交点由椭圆的方程x24+y23=1可得a=2,b=3~(1/2),c=1,右准线的方程:x=4,取过右焦点F(1,0)且垂直于x轴的直线x=1,可得 Questions through the elliptical x ~ 2/4 + y ~ 2/3 = 1 right focus arbitrary arbitrary string AB, A for oval right quasi-vertical line AM, vertical foot for the M, then the line must pass through the designated point BM We can see that the line BM must go through the fixed point, as a fill-in-the-blank problem, just get out of this fixed point, without strict proof. Solution 1 Select two special lines to find the intersection from the elliptic equation x24 + y23 = 1 available a = b = 3 ~ (1/2), c = 1, right-justified equation: x = 4, taking the right focus F (1,0) and the line perpendicular to the x-axis x = 1,