已知椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)过点(1,3/2),且离心率e=1/2(2)若直线l:y=kx+m(k≠0)与椭圆交与不同的两点M,N,且线段MN的垂直平分线过定点G(1/8,0),求k的取值范围
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![已知椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)过点(1,3/2),且离心率e=1/2(2)若直线l:y=kx+m(k≠0)与椭圆交与不同的两点M,N,且线段MN的垂直平分线过定点G(1/8,0),求k的取值范围](/uploads/image/z/5302791-63-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%3Ax%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%EF%BC%88a%3Eb%3E0%EF%BC%89%E8%BF%87%E7%82%B9%EF%BC%881%2C3%2F2%EF%BC%89%2C%E4%B8%94%E7%A6%BB%E5%BF%83%E7%8E%87e%3D1%2F2%EF%BC%882%EF%BC%89%E8%8B%A5%E7%9B%B4%E7%BA%BFl%EF%BC%9Ay%3Dkx%2Bm%28k%E2%89%A00%29%E4%B8%8E%E6%A4%AD%E5%9C%86%E4%BA%A4%E4%B8%8E%E4%B8%8D%E5%90%8C%E7%9A%84%E4%B8%A4%E7%82%B9M%2CN%2C%E4%B8%94%E7%BA%BF%E6%AE%B5MN%E7%9A%84%E5%9E%82%E7%9B%B4%E5%B9%B3%E5%88%86%E7%BA%BF%E8%BF%87%E5%AE%9A%E7%82%B9G%EF%BC%881%2F8%2C0%EF%BC%89%2C%E6%B1%82k%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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