4、如图21,(6分)AD平分∠BAC,DE⊥AB于E,DF⊥AC于F,且DB=DC,求证:EB=FChttp://image.baidu.com/i?ct=503316480&z=0&tn=baiduimagedetail&word=AD%C6%BD%B7%D6%A1%CFBAC%2CDE%A1%CDAB%D3%DAE%2CDF%A1%CDAC%D3%DAF%2C%C7%D2DB%3DDC%2C%C7%F3%D6%A4%3AEB%3DFC

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4、如图21,(6分)AD平分∠BAC,DE⊥AB于E,DF⊥AC于F,且DB=DC,求证:EB=FC
http://image.baidu.com/i?ct=503316480&z=0&tn=baiduimagedetail&word=AD%C6%BD%B7%D6%A1%CFBAC%2CDE%A1%CDAB%D3%DAE%2CDF%A1%CDAC%D3%DAF%2C%C7%D2DB%3DDC%2C%C7%F3%D6%A4%3AEB%3DFC&in=19388&cl=2&lm=-1&pn=0&rn=1&di=19237015290&ln=1&fr=&ic=0&s=0&se=1&sme=0&tab= 图

因为是角平分线,所以DE=DF,再加上直角和斜边相等的条件,可以得出EBD≌FCD