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第20题
Author:
郭子健
Topic:
Circumcircle or Circumscribed Circle
,
Quadrilaterals
20.已知四边形ABCD内接于⊙O,对角线BD是⊙O的直径. (1)如图1,连接OA,CA,若OA⊥BD,求证;CA平分∠BCD; (2)如图2,E为⊙O内一点,满足AE⊥BC,CE⊥AB,若BD=3√3,AE=3,求弦BC的长.
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