已知椭圆C的中心为坐标原点O,焦点在X轴上,斜率为1且过椭圆右焦点F的直线交椭圆于A,B两点,向量OA+OB与向量a=(3,-1)共线.(1)求椭圆离心率e(2)设M为椭圆上任意一点,且向量OM=λOA+μOB,(λ,μ∈R,注
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![已知椭圆C的中心为坐标原点O,焦点在X轴上,斜率为1且过椭圆右焦点F的直线交椭圆于A,B两点,向量OA+OB与向量a=(3,-1)共线.(1)求椭圆离心率e(2)设M为椭圆上任意一点,且向量OM=λOA+μOB,(λ,μ∈R,注](/uploads/image/z/6861771-27-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%E7%9A%84%E4%B8%AD%E5%BF%83%E4%B8%BA%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9O%2C%E7%84%A6%E7%82%B9%E5%9C%A8X%E8%BD%B4%E4%B8%8A%2C%E6%96%9C%E7%8E%87%E4%B8%BA1%E4%B8%94%E8%BF%87%E6%A4%AD%E5%9C%86%E5%8F%B3%E7%84%A6%E7%82%B9F%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%BA%A4%E6%A4%AD%E5%9C%86%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E5%90%91%E9%87%8FOA%2BOB%E4%B8%8E%E5%90%91%E9%87%8Fa%3D%283%2C-1%29%E5%85%B1%E7%BA%BF.%281%29%E6%B1%82%E6%A4%AD%E5%9C%86%E7%A6%BB%E5%BF%83%E7%8E%87e%282%29%E8%AE%BEM%E4%B8%BA%E6%A4%AD%E5%9C%86%E4%B8%8A%E4%BB%BB%E6%84%8F%E4%B8%80%E7%82%B9%2C%E4%B8%94%E5%90%91%E9%87%8FOM%EF%BC%9D%CE%BBOA%2B%CE%BCOB%2C%EF%BC%88%CE%BB%2C%CE%BC%E2%88%88R%2C%E6%B3%A8)
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