已知椭圆C:x²/a+x²/b=1(a>b>0)的两个焦点分别为F1,F2,离心率为1/2,过F1的直线l与椭圆C交于M、N两点且△MNF2的周长为8.(1)求椭圆C的方程.(2)求过原点O的两条互相垂直的射线与椭圆C分别交
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![已知椭圆C:x²/a+x²/b=1(a>b>0)的两个焦点分别为F1,F2,离心率为1/2,过F1的直线l与椭圆C交于M、N两点且△MNF2的周长为8.(1)求椭圆C的方程.(2)求过原点O的两条互相垂直的射线与椭圆C分别交](/uploads/image/z/8731782-54-2.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%3Ax%26%23178%3B%2Fa%2Bx%26%23178%3B%2Fb%3D1%28a%3Eb%3E0%29%E7%9A%84%E4%B8%A4%E4%B8%AA%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E4%B8%BAF1%2CF2%2C%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA1%2F2%2C%E8%BF%87F1%E7%9A%84%E7%9B%B4%E7%BA%BFl%E4%B8%8E%E6%A4%AD%E5%9C%86C%E4%BA%A4%E4%BA%8EM%E3%80%81N%E4%B8%A4%E7%82%B9%E4%B8%94%E2%96%B3MNF2%E7%9A%84%E5%91%A8%E9%95%BF%E4%B8%BA8.%EF%BC%881%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86C%E7%9A%84%E6%96%B9%E7%A8%8B.%EF%BC%882%EF%BC%89%E6%B1%82%E8%BF%87%E5%8E%9F%E7%82%B9O%E7%9A%84%E4%B8%A4%E6%9D%A1%E4%BA%92%E7%9B%B8%E5%9E%82%E7%9B%B4%E7%9A%84%E5%B0%84%E7%BA%BF%E4%B8%8E%E6%A4%AD%E5%9C%86C%E5%88%86%E5%88%AB%E4%BA%A4)
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