题目内容

(满分12分)如图,已知是⊙O的直径,是弦,过点作OD⊥AC于,连结

1.(1)求证:

2.(2)若,求∠的度数.

 

 

1.证法一:是⊙O的直径

      ······················· (2分)

    又

      ······················· (4分)

      ······················ (6分)

证法二:是⊙O的直径

      ················ (2分)

     即

    

    又  ······················ (3分)

      ··················· (4分)

      ···················· (5分)

     

2.(2)(6分)

解:是⊙O的直径,

      ······················· (3分)

     

解析:略

 

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