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取AC的中點F,連接DF,則DF是中位線,所以DF平行於AB且等於AB的一半. 因為角BAD=角BDA,所以DB=AB 所以DF=DB的一半=EB 因為DF平行於AB,所以角CDF=角EBA 又因為CD=DB,所以CD=AB,所以三角形CDF全等於三角形ABE 所以AE=CF=AC的一半 所以AC=2AE
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