AB=AC,角DAE=角AED=70度,BD=EC,求角B
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lyvwa:∵∠BAC=∠DAE∴∠BAC-∠DAC=∠DAE-∠DAC∴∠BAD=∠CAE又∠B=∠C,BD=CE∴△ABD≌△ACE(AAS)∴AB=AC,AD=AE
(1)CE=BD∵∠CAB=∠CAE+∠EAB∠DAE=∠BAD+∠EAB又∵∠CAB=∠DAE∴∠CAE=∠BAD∵在△CAE和△CAE中AC=AB{∠CAE=∠BADAE=AD∴△CAE≌△CAE
∵∠1=∠2∴∠DAE=BAC∵AB×AD=AC*AE∴AB比AE=AC比AD所以ABC∽△AED
证明:∵∠DAE=∠BAC,∴∠DAE-∠CAD=∠BAC-∠CAD,即∠EAC=∠DAB,∵AE=AD,AC=AB,∴ΔAEC≌ΔADB,∴CE=BD.(注:不是CE=BC).
因为AB=AC,AD=AE,BD=CE所以△ABD≌△ACE所以∠BAD=∠CAE所以∠BAD+DAC=∠DAC+∠CAE所以角BAC=角DAE
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因为AB=AC,BD=CE,AD=AE所以△ABD≌△ACE所以∠BAD=∠CAE又∠BAC=∠BAD+∠CAD,∠DAE=∠CAE+∠CAD所以∠BAD=∠DAE
(1)因为角AEB和角ADC都是直角,角A=角A,所以在三角形AEB和三角形ADC中,角ABE=角ACD,所以三角形AEB和三角形ADC相似,所以AD:AC=AE:AB(2)因为AD:AC=AE:AB
∵AB=AC ∴∠B=∠C ∵BD=CE ∴BD+DE=CE+DE &nbs
(1)△ABE∽△DCA∽△DAE(2)只要证明△ABE∽△DCA就可以了得到边与边的比例关系又AB=AC即可证得AB²=BE·DC很高兴为您解答,冰凌之殇ice为您答疑解惑如果本题有什么不
因为ab=ad,cb=cd,ac=ac,所以三角形ADC全等于三角形ABC,e为ac上一点DE=BE所以三角形AED全等于三角形AEB,即角AED等于角AEB.再问:谢谢你啊!再问:再问:那这个题的过
1、延长AG到F点,使GF=GA,易证:△CFG≌△DAG﹙SAS﹚∴CF=DA=AE,∠FCG=∠ADG∴CF∥AD∴∠FCA+∠DAC=180°而∠CAB=∠DAE=90°∴∠CAD+∠BAE=1
证明:∵AB=AC,AD=AE,∠BAE=∠CAD∴△ABE≌△ACD(SAS)∴∠D=∠E∵CE=AE-AC,BD=AD-AB∴CE=BD∵∠COE=∠BOD∴△COE≌△BOD(AAS)∴OB=O
∵∠BAC=∠DAE∴∠BAD+∠DAC=∠DAC+∠CAE即∠BAD=∠CAE∵∠ABD=∠ACEAD=AE∴△ABD≌△ACE(AAS)∴AB=ACBD=CE
Rt⊿ABD∽Rt⊿ACE,AB:AC=AD:AE,AB:AD=AC:AE,⊿ABC∽Rt⊿ADE,∠ACB=∠AED
/>在AD上取一点F,使得AF=AB,连接点FE∵AB=AF∠BAE=∠FAEAE=AE∴△BAE≌△FAE∠FEA=∠BEA又∠FEA+∠DEF=90°∠BEA+∠CED=90°则∠FED=∠CED
成立因为有两个角相等和一个边相等ΔBAD≌ΔCAE再问:过程再答:已知角BAC=角DAE,所以BAD=角CAE;角ABD=角ACE,BD=CE.所以全等