如图,在平行四边形ABCD中,角BAD,角ABC的平分线AF,BG与CD两侧的延长线分别相交与F,G,AF与BG相交与E(1)在图①中,求证AF⊥BG,DF=CG(2)在图②中,仍有(1)中的结论,若AB=10,AD=6,BG=4,求FG和AF的长
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![如图,在平行四边形ABCD中,角BAD,角ABC的平分线AF,BG与CD两侧的延长线分别相交与F,G,AF与BG相交与E(1)在图①中,求证AF⊥BG,DF=CG(2)在图②中,仍有(1)中的结论,若AB=10,AD=6,BG=4,求FG和AF的长](/uploads/image/z/3975949-37-9.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E5%B9%B3%E8%A1%8C%E5%9B%9B%E8%BE%B9%E5%BD%A2ABCD%E4%B8%AD%2C%E8%A7%92BAD%2C%E8%A7%92ABC%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BFAF%2CBG%E4%B8%8ECD%E4%B8%A4%E4%BE%A7%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E5%88%86%E5%88%AB%E7%9B%B8%E4%BA%A4%E4%B8%8EF%2CG%2CAF%E4%B8%8EBG%E7%9B%B8%E4%BA%A4%E4%B8%8EE%EF%BC%881%EF%BC%89%E5%9C%A8%E5%9B%BE%E2%91%A0%E4%B8%AD%2C%E6%B1%82%E8%AF%81AF%E2%8A%A5BG%2CDF%3DCG%EF%BC%882%EF%BC%89%E5%9C%A8%E5%9B%BE%E2%91%A1%E4%B8%AD%2C%E4%BB%8D%E6%9C%89%EF%BC%881%EF%BC%89%E4%B8%AD%E7%9A%84%E7%BB%93%E8%AE%BA%2C%E8%8B%A5AB%3D10%2CAD%3D6%2CBG%3D4%2C%E6%B1%82FG%E5%92%8CAF%E7%9A%84%E9%95%BF)
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