图中,点D在BC上,且DE⊥AB,DF⊥AC.若DE=DF,则线段AD是△ABC的( )A.高B.中线C.角平分线D.BC的中垂线
题型:不详难度:来源:
图中,点D在BC上,且DE⊥AB,DF⊥AC.若DE=DF,则线段AD是△ABC的( )
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101116-66066.png) |
答案
∵DE⊥AB,DF⊥AC,DE=DF, ∴线段AD是△ABC的角平分线. 故选C. |
举一反三
如图,在△ABC中,∠C=90°,AD平分∠BAC,DE⊥AB于E,则下列结论:①AD平分∠CDE;②∠BAC=∠BDE;③DE平分∠ADB;④BE+AC=AB,其中正确的有( )
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101113-94322.png) |
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![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101105-50475.png) |
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![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101103-62040.png) |
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![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101058-23510.png) |
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![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027101055-82223.png) |
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