如图:AB=AC,AD=AE,AB,DC相交于点M.AC,BE,相交于点N,∠DAC=∠EAB.求证:AM=AN
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如图:AB=AC,AD=AE,AB,DC相交于点M.AC,BE,相交于点N,∠DAC=∠EAB.求证:AM=AN
如图:AB=AC,AD=AE,AB,DC相交于点M.AC,BE,相交于点N,∠DAC=∠EAB.求证:AM=AN
如图:AB=AC,AD=AE,AB,DC相交于点M.AC,BE,相交于点N,∠DAC=∠EAB.求证:AM=AN
证明:∵角DAB=角EAC
∴角DAC=∠EAB,
又AB=AC,AD=AE
∴△ADC≌△AEB
∴∠B=∠C
又AB=AC,∠MAN为公共角
∴△AMC≌△ANB
∴AM=AN
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