问题补充:
如图,在△ABC中,AD⊥BC于点D,DF⊥AB于点F,DE⊥AC于点E,DF=DE,求证:AB=AC
答案:
∵DF⊥AB于点F,DE⊥AC于点E,∠AED=∠AFD,AD=AD,DF=DE,△ADE全等于△ADF,∠BAD=∠CAD,又∵AD⊥BC,∴∠B+∠BAD=∠C+∠CAD=90°,∴∠B=∠C,∴AB=AC
时间:2021-06-27 18:59:25
如图,在△ABC中,AD⊥BC于点D,DF⊥AB于点F,DE⊥AC于点E,DF=DE,求证:AB=AC
∵DF⊥AB于点F,DE⊥AC于点E,∠AED=∠AFD,AD=AD,DF=DE,△ADE全等于△ADF,∠BAD=∠CAD,又∵AD⊥BC,∴∠B+∠BAD=∠C+∠CAD=90°,∴∠B=∠C,∴AB=AC
已知:如图 △ABC中 AD⊥BC于D DE⊥AB于E DF⊥AC于F.求证:.
2022-05-01