如图,DE⊥AC于点E,BF⊥AC于点F,AB=CD,AE=CF,BD交AC于点M
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/436f3b6e-25f7-4d64-92f2-03a1bb06de21.png?resizew=247)
(1)求证:BF=DE
(2)求证:MB=MD
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/436f3b6e-25f7-4d64-92f2-03a1bb06de21.png?resizew=247)
(1)求证:BF=DE
(2)求证:MB=MD
更新时间:2022-09-16 11:24:49
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【知识点】 全等三角形综合问题
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【推荐1】如图,在等腰△ABC中,AB=AC,边BC上有一点D,过D作DE∥AB,满足DE=AD且DE为∠ADC的角平分线.
![](https://img.xkw.com/dksih/QBM/2021/7/16/2765663733342208/2799338642284544/STEM/476a786a34e549c9bbaa74a482588a50.png?resizew=356)
(1)求证:△ABD≌△DEC;
(2)求∠B的度数.
![](https://img.xkw.com/dksih/QBM/2021/7/16/2765663733342208/2799338642284544/STEM/476a786a34e549c9bbaa74a482588a50.png?resizew=356)
(1)求证:△ABD≌△DEC;
(2)求∠B的度数.
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【推荐2】如图,已知在△ABC中,AB=AC,D是AB上一点,延长AC至点E,使CE=BD.联结DE交BC于点F,求证:DF=EF.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/26/0a2b2bd1-6c4c-4f23-8675-75c758db0fdb.png?resizew=172)
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