如图,在△ABC中,点D是边BC的中点,CE∥AB,AD平分∠EAB
(1)延长AD、CE相交于点F,求证:AB=CE+AE
(2)当点E和点C重合时,试判断△ABC的形状,请画出图形,并说明理由.
(1)延长AD、CE相交于点F,求证:AB=CE+AE
(2)当点E和点C重合时,试判断△ABC的形状,请画出图形,并说明理由.

如图,在△ABC中,∠C=900,AC=BC,AE平分∠BAC与BC交于点E, DE⊥AB于点D,若AB=8cm,则△DEB的周长为( )


A.4cm | B.6cm | C.8cm | D.10cm |
如图,在△ABC和△DCB中,∠A=∠D=90°,AB=CD,∠ACB=30°,则∠ACD的度数为()


A.10° | B.20° | C.30° | D.40° |