数学高手来啊噢噢噢噢!~~~~

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/22 02:25:40

数学高手来啊噢噢噢噢!~~~~
http://hiphotos.baidu.com/wsspj001/pic/item/90c65c3c479d4db3b311c7da.jpg

所给图与题目条件不一致.重新画图附上.过点E做EF‖BC,EF角AC于点F,交AD于点G.EG/BD=AE/AB=1/3,EH/HC=EG/CD=EG/BD*BD/CD=1/3*1/2=1/6,HG/HD=EH/CH=1/6,所以HD=6/7*DG,AG/DG=AE/EB=1/2,DG=2/3*AD,所以HD=6/7*DG=6/7*2/3*AD=4/7*AD,故AH/AD=1-DH/AD=3/7,所以AH/DH=3/4,EH/HC+AH/DH=1/6+3/4=11/12.也可以这样求AH/DH,做DP‖CE,DP角AB于点P.BP/PE=BD/DC=1/2,所以EP=2/3*BE,因为AE/BE=1/2,所以AE=1/2*BE,故AH/DH=AE/PE=1/2/(2/3)=3/4.

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