已知椭圆C;x2/a2+y2/b2=1(a>b>0)的右焦点为F(1,0),且点(-1,根号2/2)在椭圆上,已知点Q(四分之五,0),动直线l过点F,且l与椭圆交于A,B两点,证明QA向量乘QB向量为定值.
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![已知椭圆C;x2/a2+y2/b2=1(a>b>0)的右焦点为F(1,0),且点(-1,根号2/2)在椭圆上,已知点Q(四分之五,0),动直线l过点F,且l与椭圆交于A,B两点,证明QA向量乘QB向量为定值.](/uploads/image/z/2489508-36-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%3Bx2%2Fa2%2By2%2Fb2%3D1%28a%3Eb%3E0%29%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9%E4%B8%BAF%281%2C0%29%2C%E4%B8%94%E7%82%B9%28-1%2C%E6%A0%B9%E5%8F%B72%2F2%29%E5%9C%A8%E6%A4%AD%E5%9C%86%E4%B8%8A%2C%E5%B7%B2%E7%9F%A5%E7%82%B9Q%28%E5%9B%9B%E5%88%86%E4%B9%8B%E4%BA%94%2C0%29%2C%E5%8A%A8%E7%9B%B4%E7%BA%BFl%E8%BF%87%E7%82%B9F%2C%E4%B8%94l%E4%B8%8E%E6%A4%AD%E5%9C%86%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E8%AF%81%E6%98%8EQA%E5%90%91%E9%87%8F%E4%B9%98QB%E5%90%91%E9%87%8F%E4%B8%BA%E5%AE%9A%E5%80%BC.)
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