如图,在△ABC中,AB=AC,点D、E分别在AB、AC上,AD=AE,BE、CD相交于点O;
求证:(1)△ABE≌△ACD;(2)过点A、O的直线垂直平分线段BC
求证:(1)△ABE≌△ACD;(2)过点A、O的直线垂直平分线段BC
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/20/f8ca11af-0efb-4ad5-8c5b-bec0b1f84c0b.png?resizew=164)
更新时间:2020-09-23 10:31:48
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【推荐1】已知:如图点A、B、C在同一直线上,且AM=AN,BM=BN,求证:CM=CN.
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【推荐2】已知:如图,在△ABC中,AD是BC边上的中线,分别以AB,AC为直角边向外作直角三角形,AB=AE,AC=AF,∠BAE=∠CAF=90°.求证:EF=2AD.
![](https://img.xkw.com/dksih/QBM/2020/3/18/2422284441722880/2423168822845440/STEM/961e24bc6015408fb84ffc680faa3a4f.png?resizew=202)
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【推荐1】如图,AD为△ABC的角平分线,DE⊥AB于点E,DF⊥AC于点F,连接EF交AD于点O.
(1)求证:AD垂直平分EF;
(2)若∠BAC=60°,求证:AO︰OD=3︰1.
(1)求证:AD垂直平分EF;
(2)若∠BAC=60°,求证:AO︰OD=3︰1.
![](https://img.xkw.com/dksih/QBM/2022/1/5/2887803591909376/2889228630253568/STEM/160b4d260a064533b03c14a769739256.png?resizew=226)
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【推荐2】如图,
与
相交于点O,
,
,
,连接
,求证;
垂直平分
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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【推荐1】如图,已知等腰
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/4d71304a-1f81-426b-9969-cefc9d3efff7.png?resizew=97)
(1)求证:
;
(2)如果
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的长 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80320309f193a5f908759eb8de0ff8a0.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ecbd81d7e885084ebacb34339e223b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/4d71304a-1f81-426b-9969-cefc9d3efff7.png?resizew=97)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b44f9d923d5c594c179b99197ae7810.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90064b191c04b5198474c2acdd517da.png)
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【推荐2】如图,AD=AE,BD=CE,求证:AB=AC.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/15/cf99f5a2-5341-4e79-854b-8966d289c5b9.png?resizew=168)
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