如图,过⊙O的直径AB上两点M,N,分别作弦CD,EF,若CD∥EF,AC=BF.
![](https://img.xkw.com/dksih/QBM/2018/10/11/2051388367642624/2052029266034688/STEM/9ed265bbfcaa4b2880985ec01b764ba4.png?resizew=150)
求证:(1)弧BC=弧AF;(2)AM=BN.
![](https://img.xkw.com/dksih/QBM/2018/10/11/2051388367642624/2052029266034688/STEM/9ed265bbfcaa4b2880985ec01b764ba4.png?resizew=150)
求证:(1)弧BC=弧AF;(2)AM=BN.
更新时间:2018-10-12 14:47:08
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【知识点】 圆内知识综合(圆的综合问题)
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解答题-问答题
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适中
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【推荐1】如图,⊙O是△ABC的外接圆,∠AOB=60°,AB=AC=2,求弦BC的长.
![](https://img.xkw.com/dksih/QBM/2019/11/21/2338558238482432/2338871227195392/STEM/ae36b85777eb4842b308bd1267374dbf.png?resizew=117)
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解答题-证明题
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适中
(0.65)
【推荐2】如图,已知
的直径
垂直于弦
于点
,连接
并延长交
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.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/14/a4e9af4b-a036-4146-aded-9bddbcaac918.png?resizew=130)
(1)请证明:点
是
的中点;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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(1)请证明:点
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
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