题干

如图,正方形ABCD中,点F在AD上,点E在AB的延长线上,∠FCE=90°

(1)求证:△CDF≌△CBE;

(2)如果正方形ABCD的面积为64,Rt△CEF的面积为50,则线段BE的长为多少?


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答案(点此获取答案解析)

(1)证明:∵四边形ABCD是正方形∴CD=CB,∠D=∠DCB=∠CBA=90°,又∵∠FCE=90°,∴∠FCB+∠FCD=90°,∠FCB+∠ECB=90°,∴∠DCF=∠BCE,在△CDF和△CBE中,D=C<

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