如图,△ABC内接于⊙O,AB=AC,弦AD交BC于点E,AE=4,ED=5.
(1)求证:AD平分∠BDC;
(2)求AC的长;
(3)若∠BCD的平分线CI与AD相交于点I,求证:AI=AC.
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如图,△ABC内接于⊙O,AB=AC,弦AD交BC于点E,AE=4,ED=5.
(1)求证:AD平分∠BDC;
(2)求AC的长;
(3)若∠BCD的平分线CI与AD相交于点I,求证:AI=AC.