已知,△ABC,BD=1,AB=2,∠CAD=45°,求CD=?
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分享交流一下我的解题思路:
作ED⊥AD,做EF⊥CD
∠AED=90°-45°=45°
AD=DE ∠1=∠4 ∠2=∠3
△DEF≌△ADB
DF=AB=2 EF=BD=1
△EFC相似于△ABC
CF/EF=CB/AB
CF/1=(CF+3)/2
CF=3
CD=CF+DF=3+2=5
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