如图,D为△ABC的边BC上的一点,DE‖AB,DF‖AC分别交AC、AB于E、F,设△CDE、△BDF、平行四边形DEAF的面积分别为S1、S2、S3,求证:S3=2√▔S1S2(S1S2在根号内)
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![如图,D为△ABC的边BC上的一点,DE‖AB,DF‖AC分别交AC、AB于E、F,设△CDE、△BDF、平行四边形DEAF的面积分别为S1、S2、S3,求证:S3=2√▔S1S2(S1S2在根号内)](/uploads/image/z/7038622-46-2.jpg?t=%E5%A6%82%E5%9B%BE%2CD%E4%B8%BA%E2%96%B3ABC%E7%9A%84%E8%BE%B9BC%E4%B8%8A%E7%9A%84%E4%B8%80%E7%82%B9%2CDE%E2%80%96AB%2CDF%E2%80%96AC%E5%88%86%E5%88%AB%E4%BA%A4AC%E3%80%81AB%E4%BA%8EE%E3%80%81F%2C%E8%AE%BE%E2%96%B3CDE%E3%80%81%E2%96%B3BDF%E3%80%81%E5%B9%B3%E8%A1%8C%E5%9B%9B%E8%BE%B9%E5%BD%A2DEAF%E7%9A%84%E9%9D%A2%E7%A7%AF%E5%88%86%E5%88%AB%E4%B8%BAS1%E3%80%81S2%E3%80%81S3%2C%E6%B1%82%E8%AF%81%EF%BC%9AS3%3D2%E2%88%9A%E2%96%94S1S2%EF%BC%88S1S2%E5%9C%A8%E6%A0%B9%E5%8F%B7%E5%86%85%EF%BC%89)
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