如图,在正方形ABCD中,点E在AB上,AE=3,BE=1,点P为对角线AC上任意一点,连结PB、PE.当点P在AC上何处时,PB+PE取得最小值?请画出此时点P的位置,并求PB+PE的最小值.
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![如图,在正方形ABCD中,点E在AB上,AE=3,BE=1,点P为对角线AC上任意一点,连结PB、PE.当点P在AC上何处时,PB+PE取得最小值?请画出此时点P的位置,并求PB+PE的最小值.](/uploads/image/z/8971006-22-6.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E6%AD%A3%E6%96%B9%E5%BD%A2ABCD%E4%B8%AD%2C%E7%82%B9E%E5%9C%A8AB%E4%B8%8A%2CAE%3D3%2CBE%3D1%2C%E7%82%B9P%E4%B8%BA%E5%AF%B9%E8%A7%92%E7%BA%BFAC%E4%B8%8A%E4%BB%BB%E6%84%8F%E4%B8%80%E7%82%B9%2C%E8%BF%9E%E7%BB%93PB%E3%80%81PE.%E5%BD%93%E7%82%B9P%E5%9C%A8AC%E4%B8%8A%E4%BD%95%E5%A4%84%E6%97%B6%2CPB%2BPE%E5%8F%96%E5%BE%97%E6%9C%80%E5%B0%8F%E5%80%BC%3F%E8%AF%B7%E7%94%BB%E5%87%BA%E6%AD%A4%E6%97%B6%E7%82%B9P%E7%9A%84%E4%BD%8D%E7%BD%AE%2C%E5%B9%B6%E6%B1%82PB%2BPE%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC.)
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