Question

11、如圖所示，BD⊥AC，CE⊥AB，垂足分別是D，E，若△ABD≌△ACE，那么∠B的對(duì)應(yīng)角是∠

C

，∠BAD的對(duì)應(yīng)角是∠

CAE

，∠ADB的對(duì)應(yīng)角是∠

AEC

．

Answer 1

分析：此題通過(guò)看圖，利用全等三角形的性質(zhì)解，做題時(shí)要根據(jù)已知條件結(jié)合圖形正確找出對(duì)應(yīng)角．

解答：解：∵BD⊥AC，CE⊥AB，垂足分別是D，E，∠A是公共角，△ABD≌△ACE，
∴∠B的對(duì)應(yīng)角是∠C，∠BAD的對(duì)應(yīng)角是∠CAE，∠ADB的對(duì)應(yīng)角是∠AEC．
故填C，CAE，AEC．

點(diǎn)評(píng)：考查了全等三角形的對(duì)應(yīng)角的找法，正確找對(duì)對(duì)應(yīng)角要根據(jù)已知條件進(jìn)行，也是解決本題的關(guān)鍵．