题目内容
已知如图
,四边形
为圆内接四边形,
是直径,
切
于
点,
,那么
的度数是 ( )
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A.![]() | B.![]() | C.![]() | D.![]() |
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B.
分析:利用MN切⊙O于C点,可得弦切角等于同弧所对的圆周角,再利用AB是直径,即可求得∠ABC的度数
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解:连接AC,则∵MN切⊙O于C点
∴∠BCM=∠BAC=38°
∵AB是直径,
∴∠ABC=90°-∠BAC=90°-38°=52°
故答案为:B
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A.![]() | B.![]() | C.![]() | D.![]() |