要测量河两岸相对的两点A,B的距离,先在AB的垂线BF上取两点C,D,

要测量河两岸相对的两点AB的距离,先在AB的垂线BF上取两点CD,使CD=BC,再定出BF的垂线DE,使ACE在一条直线上(如图所示),可以说明△EDC≌△ABC,得ED=AB,因此测得ED的长就是AB的长,判定△EDC≌△ABC最恰当的理由是(  )

A.边角边   B.角边角   C.边边边   D.边边角

答案

B【考点】全等三角形的应用.

【分析】由已知可以得到∠ABC=BDE,又CD=BC,∠ACB=DCE,由此根据角边角即可判定△EDC≌△ABC

【解答】解:∵BFABDEBD

∴∠ABC=BDE

又∵CD=BC,∠ACB=DCE

∴△EDC≌△ABCASA

故选B

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