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證明: ∵平行四邊形ABCD ∴AB=CD,AD=BC,∠BAC=∠DCA,∠DAC=∠BCA ∵E、F是AC的三等分點 ∴AE=CF ∴△ABE全等於△CDF,△ADE全等於△CBF(SAS) ∴BE=CF,DE=BF ∴平行四邊形BFDE(兩組對邊相等,則四邊形為平行四邊形)
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