如图,△ABC中,AB=AC,AD⊥BC于D,BE交AD于F且AE=AF,求证:2AD=AB+A如图,△ABC中,AB=AC,AD⊥BC于D,BE交AD于F且AE=AF, 求证:2AD=AB+AF

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如图,△ABC中,AB=AC,AD⊥BC于D,BE交AD于F且AE=AF,求证:2AD=AB+A如图,△ABC中,AB=AC,AD⊥BC于D,BE交AD于F且AE=AF, 求证:2AD=AB+AF
如图,△ABC中,AB=AC,AD⊥BC于D,BE交AD于F且AE=AF,求证:2AD=AB+A
如图,△ABC中,AB=AC,AD⊥BC于D,BE交AD于F且AE=AF, 求证:2AD=AB+AF

如图,△ABC中,AB=AC,AD⊥BC于D,BE交AD于F且AE=AF,求证:2AD=AB+A如图,△ABC中,AB=AC,AD⊥BC于D,BE交AD于F且AE=AF, 求证:2AD=AB+AF
提示:
1、辅助线,延长AD到G,使DG=AD,连接BG.
2、再证明GB=GF(通过全等三角形和外角代换,得到∠BFG=∠GBF)则FG=BG=AC=AB
3、AG= 2AD=AF+FG=AF+AB