已知椭圆x^2/a^2+y^2/b^2=1(a>b>0)的离心率e=(根号6)/3,过点A(0,-b)和B(a,0)的直线与原点的距离为(根号3)/2.(1)求椭圆的方程;(2)已知定点E(-1,0),若直线y=kx+2(k≠0)与椭圆交于C、D两点,问:
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 22:19:57
![已知椭圆x^2/a^2+y^2/b^2=1(a>b>0)的离心率e=(根号6)/3,过点A(0,-b)和B(a,0)的直线与原点的距离为(根号3)/2.(1)求椭圆的方程;(2)已知定点E(-1,0),若直线y=kx+2(k≠0)与椭圆交于C、D两点,问:](/uploads/image/z/2531119-31-9.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%EF%BC%88a%3Eb%3E0%29%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87e%3D%28%E6%A0%B9%E5%8F%B76%29%2F3%2C%E8%BF%87%E7%82%B9A%EF%BC%880%2C-b%EF%BC%89%E5%92%8CB%EF%BC%88a%2C0%29%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%B8%8E%E5%8E%9F%E7%82%B9%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA%28%E6%A0%B9%E5%8F%B73%29%2F2.%EF%BC%881%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%9B%EF%BC%882%EF%BC%89%E5%B7%B2%E7%9F%A5%E5%AE%9A%E7%82%B9E%EF%BC%88-1%2C0%EF%BC%89%2C%E8%8B%A5%E7%9B%B4%E7%BA%BFy%3Dkx%2B2%28k%E2%89%A00%EF%BC%89%E4%B8%8E%E6%A4%AD%E5%9C%86%E4%BA%A4%E4%BA%8EC%E3%80%81D%E4%B8%A4%E7%82%B9%2C%E9%97%AE%EF%BC%9A)
xT]OA+<]wqY!ei,7L٤!5Mv(iEOٙIߚ4sbvG-yN+*AU9,|MP|n*qtUdfP 3
A<:
:"'nzBPY(Vʼxp aaLb1!ZcZFv ɵ^3?KMx
/?2~ʟ