已知椭圆E:x^2/2+y^2/4=1的左、右焦点分别是F1,F2,点P为椭圆E第一象限上一点,且满足向量(PF1)点乘向量(PF2)=1.过点P做倾斜角互补的两条直线PA,PB分别交椭圆E于点A,B.(1)求点P坐标;(2)求直线AB斜率;(
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![已知椭圆E:x^2/2+y^2/4=1的左、右焦点分别是F1,F2,点P为椭圆E第一象限上一点,且满足向量(PF1)点乘向量(PF2)=1.过点P做倾斜角互补的两条直线PA,PB分别交椭圆E于点A,B.(1)求点P坐标;(2)求直线AB斜率;(](/uploads/image/z/14507132-68-2.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86E%3Ax%5E2%2F2%2By%5E2%2F4%3D1%E7%9A%84%E5%B7%A6%E3%80%81%E5%8F%B3%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E6%98%AFF1%2CF2%2C%E7%82%B9P%E4%B8%BA%E6%A4%AD%E5%9C%86E%E7%AC%AC%E4%B8%80%E8%B1%A1%E9%99%90%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E4%B8%94%E6%BB%A1%E8%B6%B3%E5%90%91%E9%87%8F%28PF1%29%E7%82%B9%E4%B9%98%E5%90%91%E9%87%8F%28PF2%29%3D1.%E8%BF%87%E7%82%B9P%E5%81%9A%E5%80%BE%E6%96%9C%E8%A7%92%E4%BA%92%E8%A1%A5%E7%9A%84%E4%B8%A4%E6%9D%A1%E7%9B%B4%E7%BA%BFPA%2CPB%E5%88%86%E5%88%AB%E4%BA%A4%E6%A4%AD%E5%9C%86E%E4%BA%8E%E7%82%B9A%2CB.%281%29%E6%B1%82%E7%82%B9P%E5%9D%90%E6%A0%87%EF%BC%9B%282%29%E6%B1%82%E7%9B%B4%E7%BA%BFAB%E6%96%9C%E7%8E%87%EF%BC%9B%28)
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