解答题-证明题 适中0.65 引用3 组卷478
如图,AB是⊙O的直径,N是⊙O上一点,M是
的中点,连接AN,BM,交于点D.连接NM,OM,延长OM至点C,并使∠CAN=2∠N.AN与OC交于点E.
![](https://img.xkw.com/dksih/QBM/2022/5/11/2976879804334080/2978737558724608/STEM/3a11f276-e1a6-46fa-9340-5dd3e5acc2a3.png?resizew=169)
(1)求证:AC是⊙O的切线;
(2)若DM=10,
,求⊙O的半径.
![](https://img.xkw.com/dksih/QBM/2022/5/11/2976879804334080/2978737558724608/STEM/3a11f276-e1a6-46fa-9340-5dd3e5acc2a3.png?resizew=169)
(1)求证:AC是⊙O的切线;
(2)若DM=10,
2022·广东深圳·二模
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