如图,CD=AB,AF=CE,DE=BF.求证:AB∥CD.速求速求速求速求速求速求速求速求速求速求速求速求速求

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如图,CD=AB,AF=CE,DE=BF.求证:AB∥CD.速求速求速求速求速求速求速求速求速求速求速求速求速求
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如图,CD=AB,AF=CE,DE=BF.求证:AB∥CD.速求速求速求速求速求速求速求速求速求速求速求速求速求
如图,CD=AB,AF=CE,DE=BF.求证:AB∥CD.

速求速求速求速求速求速求速求速求速求速求速求速求速求

如图,CD=AB,AF=CE,DE=BF.求证:AB∥CD.速求速求速求速求速求速求速求速求速求速求速求速求速求
因为CD=AB,AF=CE,DE=BF
所以三角形ABF全等于三角形CDE
所以∠FAB=∠EDC
所以AB平行于CD

CD=AB,AF=CE,DE=BF,三角形ABF全等于三角形CDE,AB平行且相等于CD。