2009初中数学竞赛试题如图,已知E、F是矩形ABCD的BC边的三等分点,G、H是CD边的三等分点,连结AE、AF和BG、BH,AE与BG交于M,AF与BH交于N,连结MN.求证:MN//BC.
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![2009初中数学竞赛试题如图,已知E、F是矩形ABCD的BC边的三等分点,G、H是CD边的三等分点,连结AE、AF和BG、BH,AE与BG交于M,AF与BH交于N,连结MN.求证:MN//BC.](/uploads/image/z/2594516-68-6.jpg?t=2009%E5%88%9D%E4%B8%AD%E6%95%B0%E5%AD%A6%E7%AB%9E%E8%B5%9B%E8%AF%95%E9%A2%98%E5%A6%82%E5%9B%BE%2C%E5%B7%B2%E7%9F%A5E%E3%80%81F%E6%98%AF%E7%9F%A9%E5%BD%A2ABCD%E7%9A%84BC%E8%BE%B9%E7%9A%84%E4%B8%89%E7%AD%89%E5%88%86%E7%82%B9%2CG%E3%80%81H%E6%98%AFCD%E8%BE%B9%E7%9A%84%E4%B8%89%E7%AD%89%E5%88%86%E7%82%B9%2C%E8%BF%9E%E7%BB%93AE%E3%80%81AF%E5%92%8CBG%E3%80%81BH%2CAE%E4%B8%8EBG%E4%BA%A4%E4%BA%8EM%2CAF%E4%B8%8EBH%E4%BA%A4%E4%BA%8EN%2C%E8%BF%9E%E7%BB%93MN.%E6%B1%82%E8%AF%81%EF%BC%9AMN%2F%2FBC.)
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