题目内容

已知:如图,E,F在AC上,AD//CB且AD=CB,∠D=∠B.

求证:AE=CF.

 


证明:∵AD//CB

∴∠A=∠C······························ 2分

在△ADF和△CBE中,

又∵AD=CB,∠D=∠B·························· 3分

∴△ADF≌△CBE···························· 5分

∴AF=CE······························· 6分

∴AF+EF=EF+CE,

∴AE=CF······························· 7分

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