已知椭圆c:x2 a2+y2 b2 =1的离心率为3分之根号6,F为椭圆在x轴正半轴上的焦点,M,N两点在椭圆c上,且向量MF=λ向量FN(λ》0 ),定点A(-4,0)求证当λ=1时向量MN垂直于向量AF;若当λ=1时有向量AM乘于向量A
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![已知椭圆c:x2 a2+y2 b2 =1的离心率为3分之根号6,F为椭圆在x轴正半轴上的焦点,M,N两点在椭圆c上,且向量MF=λ向量FN(λ》0 ),定点A(-4,0)求证当λ=1时向量MN垂直于向量AF;若当λ=1时有向量AM乘于向量A](/uploads/image/z/3951280-64-0.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86c%3Ax2+a2%2By2+b2+%3D1%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA3%E5%88%86%E4%B9%8B%E6%A0%B9%E5%8F%B76%2CF%E4%B8%BA%E6%A4%AD%E5%9C%86%E5%9C%A8x%E8%BD%B4%E6%AD%A3%E5%8D%8A%E8%BD%B4%E4%B8%8A%E7%9A%84%E7%84%A6%E7%82%B9%2CM%2CN%E4%B8%A4%E7%82%B9%E5%9C%A8%E6%A4%AD%E5%9C%86c%E4%B8%8A%2C%E4%B8%94%E5%90%91%E9%87%8FMF%3D%CE%BB%E5%90%91%E9%87%8FFN%EF%BC%88%CE%BB%E3%80%8B0+%EF%BC%89%2C%E5%AE%9A%E7%82%B9A%28-4%2C0%EF%BC%89%E6%B1%82%E8%AF%81%E5%BD%93%CE%BB%3D1%E6%97%B6%E5%90%91%E9%87%8FMN%E5%9E%82%E7%9B%B4%E4%BA%8E%E5%90%91%E9%87%8FAF%3B%E8%8B%A5%E5%BD%93%CE%BB%3D1%E6%97%B6%E6%9C%89%E5%90%91%E9%87%8FAM%E4%B9%98%E4%BA%8E%E5%90%91%E9%87%8FA)
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