如图,在△ABC中,∠ACB=90°,分别以点A和点B为圆心,相同的长(大于
AB)为半径作弧,两弧相交于点M和点N,作直线MN交AB于点D,交BC于点E.若AC=3,AB=5,则CE等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/3/a9f812ea-b2ed-495d-bd5a-8f3fb7369cf9.jpg?resizew=125)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/3/a9f812ea-b2ed-495d-bd5a-8f3fb7369cf9.jpg?resizew=125)
A.![]() | B.2 | C.![]() | D.![]() |
更新时间:2020-05-05 13:54:20
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【知识点】 线段垂直平分线的性质解读
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【推荐1】如图,
中,
,
,
,边
的垂直平分线交
于点
,则
的周长是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da2b024e5926973d8e69d466b9c0e94a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dafddfd80f69337909f6eac0f0dbfd59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df3b2901ad26337818f75e81448ebb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
A.8cm | B.9cm | C.10cm | D.11cm |
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【推荐2】如图,在△ABC中,DE是AC的垂直平分线,△ABC的周长为17cm,△ABD的周长为11cm,则AE的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/28/d593b7f5-8eaa-47a7-b7cc-eca9df377860.png?resizew=168)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/28/d593b7f5-8eaa-47a7-b7cc-eca9df377860.png?resizew=168)
A.3cm | B.6cm | C.12cm | D.16cm |
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