მასწავლებლის წიგნი

sanimuSo gakveTili #2aqtivoba: simravleTa dekartuli namravli ($ 1.5).reziume: moswavleebi ecnobian axal cnebebs _ dalagebuli simravle (kerZod,dalagebuli wyvili, sameuli), ori an meti simravlis dekartuli namravli; amcnebaTa gamoyenebiT moswavleebi warmoadgenen axal maTematikur obieqtebs, realursamyaroSi SesaZlo mimarTebebs.aqtivobis mizani:• axali cnebebis aTviseba, mocemuli simravleebis dekartuli namravlisSedgenisa da, piriqiT, mocemuli namravlis mixedviT Tanamamravli simravleebisaRdgenis unar-Cvevebis gamomuSaveba;• ricxviTi simravleebis dekartuli namravlebisa da sakoordinato sibrtyezemaT gamosaxulebebs Soris urTierTcalsaxa Sesabamisobis dadgenis gamocdilebisSeZena.• miRebuli codnis praqtikul amocanebSi gamoyenebis SesaZleblobaTa aRmoCenisada maTi realizebis unaris ganviTareba.aucilebeli wina codna• simravleTa Teoriis elementebis codna § 1.4-Si mocemuli moculobiT;• sakoordinato sibrtyis wertilebsa da koordinatTa Sesabamis wyvilebs SorisSesabamisobis dadgenis unari _ es sakiTxi gakveTilebze reguluralud ganixileba,amitom sagangebo, xangrZlivi dro am gaxsenebis ar dasWirdeba.gakveTils viwyebT simravlis dalagebulobis cnebis Sinaarsis aRweriT; kerZod,ganvixilavT sakoordinato sibrtyis (a; b) da (b; a) tipis wertilebs da vrwmundebiT,rom, Tu a≠b, maSin (a; b) da (b; a) sxvadasxva wertilebs gansazRvravs.gavixsenebT, rom amave wesiT Sedgenili {a; b} da {b; a} simravleebi tolia.simravlis dalagebuloba gulisxmobs ara marto simravlis elementebis CamonaTvals,aramed, simravlis elementebis gansazRvrul Tanamimdevrobasac.sazogadod, dalagebuli wyvilebisTvis (a; b)=(c; d) niSnavs, a=c da b=d. piriqiTac,Tu a=c da b=d, maSin (a; b)=(c; d).sailustraciod ganvixilavT raime or sasrul simravles. magaliTad, A={O; ∆},B={1; 2; 3}. SevTavazoT moswavleebs warmoadginon elementebis CamoTvliT dalagebulwyvilTa ori simravle:M={(m; n) | m∈A, n∈B},N={(p; t) | p∈B, t∈A}.• ramden elements Seicavs M simravle; N simravle?• tolia Tu ara, M da N simravleebi?ganvsazRvroT ori simravlis dekartuli namravlis cneba _ A×B={(a; b) | a∈A,b∈B}.• sworia Tu ara, rom A×B=M; B×A=N?moviSvelioT paragrafis Teoriul nawilSi mocemuli sxva magaliTebic.gansakuTrebuli yuradRebiT ganvixiloT A×A SemTxveva _ moswavles raime Asimravlis dekartuli kvadrati ar unda SeeSalos A-s orelementian qvesimravleTasimravleSi.27