已知椭圆x^2/a^2+y^2/b^2=1(a>b>0)过点(1,根号2/2),e=根号2/2,F1、F2为椭圆有左右焦点P在l:x+y=2上且y不等于0,直线PF1,PF2与椭圆的交点分别为AB和CD,O为原点,(1)求椭圆方程,(2)设直线PF1、PF2的斜率分别为K
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![已知椭圆x^2/a^2+y^2/b^2=1(a>b>0)过点(1,根号2/2),e=根号2/2,F1、F2为椭圆有左右焦点P在l:x+y=2上且y不等于0,直线PF1,PF2与椭圆的交点分别为AB和CD,O为原点,(1)求椭圆方程,(2)设直线PF1、PF2的斜率分别为K](/uploads/image/z/12511041-33-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E8%BF%87%E7%82%B9%EF%BC%881%2C%E6%A0%B9%E5%8F%B72%2F2%EF%BC%89%2Ce%3D%E6%A0%B9%E5%8F%B72%2F2%2CF1%E3%80%81F2%E4%B8%BA%E6%A4%AD%E5%9C%86%E6%9C%89%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9P%E5%9C%A8l%3Ax%2By%3D2%E4%B8%8A%E4%B8%94y%E4%B8%8D%E7%AD%89%E4%BA%8E0%2C%E7%9B%B4%E7%BA%BFPF1%2CPF2%E4%B8%8E%E6%A4%AD%E5%9C%86%E7%9A%84%E4%BA%A4%E7%82%B9%E5%88%86%E5%88%AB%E4%B8%BAAB%E5%92%8CCD%2CO%E4%B8%BA%E5%8E%9F%E7%82%B9%2C%281%29%E6%B1%82%E6%A4%AD%E5%9C%86%E6%96%B9%E7%A8%8B%2C%282%29%E8%AE%BE%E7%9B%B4%E7%BA%BFPF1%E3%80%81PF2%E7%9A%84%E6%96%9C%E7%8E%87%E5%88%86%E5%88%AB%E4%B8%BAK)
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