一道数学几何题,要详细过程,如果解释的好,给分如图:设P是边长为12的正△ABC内一点,过P分别作三条边BC、CA、AB的垂线,垂足分别为D、E、F.已知PD:PE:PF=1:2:3.那么,四边形BDPF的面积是请
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![一道数学几何题,要详细过程,如果解释的好,给分如图:设P是边长为12的正△ABC内一点,过P分别作三条边BC、CA、AB的垂线,垂足分别为D、E、F.已知PD:PE:PF=1:2:3.那么,四边形BDPF的面积是请](/uploads/image/z/5693448-48-8.jpg?t=%E4%B8%80%E9%81%93%E6%95%B0%E5%AD%A6%E5%87%A0%E4%BD%95%E9%A2%98%2C%E8%A6%81%E8%AF%A6%E7%BB%86%E8%BF%87%E7%A8%8B%2C%E5%A6%82%E6%9E%9C%E8%A7%A3%E9%87%8A%E7%9A%84%E5%A5%BD%2C%E7%BB%99%E5%88%86%E5%A6%82%E5%9B%BE%EF%BC%9A%E8%AE%BEP%E6%98%AF%E8%BE%B9%E9%95%BF%E4%B8%BA12%E7%9A%84%E6%AD%A3%E2%96%B3ABC%E5%86%85%E4%B8%80%E7%82%B9%2C%E8%BF%87P%E5%88%86%E5%88%AB%E4%BD%9C%E4%B8%89%E6%9D%A1%E8%BE%B9BC%E3%80%81CA%E3%80%81AB%E7%9A%84%E5%9E%82%E7%BA%BF%2C%E5%9E%82%E8%B6%B3%E5%88%86%E5%88%AB%E4%B8%BAD%E3%80%81E%E3%80%81F%EF%BC%8E%E5%B7%B2%E7%9F%A5PD%EF%BC%9APE%EF%BC%9APF%3D1%EF%BC%9A2%EF%BC%9A3%EF%BC%8E%E9%82%A3%E4%B9%88%2C%E5%9B%9B%E8%BE%B9%E5%BD%A2BDPF%E7%9A%84%E9%9D%A2%E7%A7%AF%E6%98%AF%E8%AF%B7)
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