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取BC的中點O,連結並延長AO到D,使OD=OA,連結BD、ED、FD、CD,再延長AE交BD於G,則四邊形ABDC是平行四邊形.∴BD=AC,∴AB+AC=AB+BD.∵OB=OC,BE=CF,∴OE=OF,∴四邊形AEDF也是平行四邊形.∴DE=AF,AE+AF=AE+DE.在△ABG中…
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