如圖,四邊形內(nèi)接于⊙O,是⊙O的直徑,,垂足為,平分

(1)求證:是⊙O的切線;

(2)若,求的長.

 

解:(1)證明:連接

平分

.························································································ 3分

的切線.····································· 5分

(2)是直徑,

,

.··················································································· 6分

平分,

.········································································ 8分

中,

中,

的長是1cm,的長是4cm.························································ 10分

解析:略

 

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