... ABCBalauca-Geometrie plana P A Q B M D C NIp. aABCC A,P,Q coliniare M mijlocul lui BC ACBP, ANP, QBNC sunt echivalente SMAN NMQCABC SBNP ANP2ABC SBCNQDemonstratie1.AMMN Din 1 si 2 EMBED Equation.3 MB linie mijlocie in aANP EMBED Equation.3 BM paralel cu AP 112.BPBN Din 3 si 4 EMBED Equation.3 MC linie mijlocie in aANQ EMBED Equation.3 MC paralel cu AQ 213.AMMN4.SBCNQDin 11 si 21 conform postulatului lui Euclid EMBED Equation.3 prin A se duce o singura paralela la BC EMBED Equation.3 EMBED Equation.3 P,A,Q sunt coliniareb 1.AMMNDin 1 si 2 EMBED Equation.3 ANBC paralelogram EMBED Equation.3 2.BMMC3.AC paralel cu BP Din 3 si 4 EMBED Equation.3 PACB paralelogram4.PA paralel cu BC din aACBPBCQDANPPANQ22BC2QD2BCQDACBPQN EMBED Equation.3 BC EMBED Equation.3 BQCNBCQN2BC2QD2 EMBED Equation.3 ACBPANPBQCNc NMQCMCNQ2 EMBED Equation.3 BCQD2ABCdANPAPNQ2BC2QD22ABCProb.3 Daca in triunghiul ABC, AD si AM sun bisectoare respectiv mediana sa se arate ca dM,ACDCdM,ABDB unde D,M EMBED Equation.3 BC.Balauca-geometrie plana A F E C B D MIp aABC AM mediana AD bisectoarea EMBED Equation.3 BACC dM,ACDCdM,ABDBDemonstratieM mijlocul lui BC EMBED Equation.3 ABMAMC EMBED Equation.3 EMBED Equation.3 EMBED E ... Download