證明:∵AD是△ABC的角平分線,
∴∠EAD=∠CAD,
而AE=AC,AD公共邊,
∴△AED≌△ACD,
∴ED=DC,
∴∠CED=∠DCE,
∵EF∥BC,
∴∠FEC=∠ECD,
∴∠CED=∠FEC,
即CE平分∠DEF.
已知:如圖,AD是△ABC的角平分線,且AE=AC,EF∥BC交AC于F. 求證:CE平分∠DEF.
已知:如圖,AD是△ABC的角平分線,且AE=AC,EF∥BC交AC于F.
求證:CE平分∠DEF.
![](http://hiphotos.baidu.com/zhidao/pic/item/a8014c086e061d953f15ea8978f40ad162d9ca34.jpg)
求證:CE平分∠DEF.
![](http://hiphotos.baidu.com/zhidao/pic/item/a8014c086e061d953f15ea8978f40ad162d9ca34.jpg)
數(shù)學(xué)人氣:753 ℃時間:2019-08-17 21:29:07
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