已知如图,AB=AC,AD=AE,AB、DC相交于点M,AC、BE相交于点N,AP⊥DC于P,AQ⊥BE于Q且∠DAB=∠EAC,说明AP=AQ

来源：学生作业帮助网编辑：六六作业网时间：2025/01/26 15:51:48

已知如图,AB=AC,AD=AE,AB、DC相交于点M,AC、BE相交于点N,AP⊥DC于P,AQ⊥BE于Q且∠DAB=∠EAC,说明AP=AQ已知如图,AB=AC,AD=AE,AB、DC相交于点M,

已知如图,AB=AC,AD=AE,AB、DC相交于点M,AC、BE相交于点N,AP⊥DC于P,AQ⊥BE于Q且∠DAB=∠EAC,说明AP=AQ
已知如图,AB=AC,AD=AE,AB、DC相交于点M,AC、BE相交于点N,AP⊥DC于P,AQ⊥BE于Q且∠DAB=∠EAC,说明AP=AQ

已知如图,AB=AC,AD=AE,AB、DC相交于点M,AC、BE相交于点N,AP⊥DC于P,AQ⊥BE于Q且∠DAB=∠EAC,说明AP=AQ
证明：
∵∠DAC＝∠BAC+∠DAB,∠EAB＝∠BAC+∠EAC,∠DAB＝∠EAC
∴∠DAC＝∠EAB
∵AB＝AC,AD＝AE
∴△ABE≌△ACD （SAS）
∴BE＝CD,S△ABE＝S△ACD
∵AP⊥DC,AQ⊥BE
∴S△ABE＝BE×AQ/2,S△ACD＝CD×AP/2
∴BE×AQ/2＝CD×AP/2
∴AP＝AQ

已知:如图,AC/AD=AB/DE=BC/AE.求证AB=AE 已知,如图,AD/AC=DE/AB=AE/BC,求证AB=AE 已知,如图,AD:AC=DE:AB=AE:BC 求证：AB=AE 如图,已知AD/DB=AE/EC,求证 :AD/AB=AE/AC. 如图,已知：AB=AE,AC=AD,AC⊥AD,AB⊥AE.求证：ED⊥BC. 如图,DE//BC,请问AD:AC=AE:AB?AD:AE=AB:AC? 已知:如图,AD/AB=AE/BC求证：AD/AE=DB/EC和AB/DB=AC/EC 已知:如图,AD/AB=AE/BC求证：AD/AE=DB/EC和AB/DB=AC/EC 已知如图AB=AC,求证AB²=AD×AE 如图,已知AD//BC,AD=BC,AE⊥AD,AF⊥AB,AE=AD,AB=AF.求证：AC=EF. 如图已知AD/DB=AE/EC=3/2,求AB/DB,EC/AC,AB/AD 如图,AB=AD,AC=AE, 如图,已知AB/AD=AC/AE=BC/DE,试说明:AB*EC=AC*BD 如图,已知AB/AD=AC/AE=BC/DE,试说明:AB*EC=AC*BD 已知:如图,AB/AD=AC/AE=BC/DE,求证,AB乘EC=AC乘BD 如图,AD⊥AE,AB垂直AC,AD=AE,AB=AC,AD⊥AE ,AB=AC,求证：三角形ABD≌三角形ACE 如图,已知AE⊥AD,AF⊥AB,AB//CD,AE=CD,AE=AD,AF=CD,求证AC=EF 如图,已知AB垂直AC,AD垂直AE,AB=AC,AD=AE,求证BE=CD且BE垂直CD.图在后面.