椭圆E:x^2/a^2+y^2/b^2=1(a>b>0)的左顶点为A,上顶点为B,左、右焦点到直线AB的距离之比为(7-4√3):1设C,D是椭圆E上两点,CD‖AB,直线CD与x,y轴分别交于M,N两点,且向量MC=λ向量CN,向量MD=μ向量DN,求λ+μ的取
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![椭圆E:x^2/a^2+y^2/b^2=1(a>b>0)的左顶点为A,上顶点为B,左、右焦点到直线AB的距离之比为(7-4√3):1设C,D是椭圆E上两点,CD‖AB,直线CD与x,y轴分别交于M,N两点,且向量MC=λ向量CN,向量MD=μ向量DN,求λ+μ的取](/uploads/image/z/10891342-46-2.jpg?t=%E6%A4%AD%E5%9C%86E%3Ax%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E7%9A%84%E5%B7%A6%E9%A1%B6%E7%82%B9%E4%B8%BAA%2C%E4%B8%8A%E9%A1%B6%E7%82%B9%E4%B8%BAB%2C%E5%B7%A6%E3%80%81%E5%8F%B3%E7%84%A6%E7%82%B9%E5%88%B0%E7%9B%B4%E7%BA%BFAB%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B9%8B%E6%AF%94%E4%B8%BA%287-4%E2%88%9A3%29%3A1%E8%AE%BEC%2CD%E6%98%AF%E6%A4%AD%E5%9C%86E%E4%B8%8A%E4%B8%A4%E7%82%B9%2CCD%E2%80%96AB%2C%E7%9B%B4%E7%BA%BFCD%E4%B8%8Ex%2Cy%E8%BD%B4%E5%88%86%E5%88%AB%E4%BA%A4%E4%BA%8EM%2CN%E4%B8%A4%E7%82%B9%2C%E4%B8%94%E5%90%91%E9%87%8FMC%3D%CE%BB%E5%90%91%E9%87%8FCN%2C%E5%90%91%E9%87%8FMD%3D%CE%BC%E5%90%91%E9%87%8FDN%2C%E6%B1%82%CE%BB%2B%CE%BC%E7%9A%84%E5%8F%96)
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