摘要:17.如图.AB为⊙O的直径.AC交⊙O于E点.BC交⊙O于D点.CD=BD.C=700.现给出以下四个结论:①A=450,②AC=AB,③AE=BE,④CE·AB=2BD2.其中正确结论的序号是 ▲ .
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如图,AB为⊙·的直径,弦CD⊥AB,垂足为点M,AE切⊙·于点A,交BC的延长线于点E,连接AC.
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(1)若∠B=30°,AB=2,求CD的长;
(2)求证:AE2=EB·EC.