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es ormagi utoloba tolfasiaZ] 4x 2 –16x≥0[] 3x 2 –16x+1≤0 sistemis, saidanac miaxloebiT x∈[4; 5,25].\21-23, 25, 26 amocanebSi damrgvalebis wesebis garda viTvaliswinebT _ amocanispirobebSi metobiTaa damrgvaleba gamarTlebuli, Tu naklebobiT.24 a) gavixsenoT: Tu √a 2 =a, maSin a≥0. mocemul gantolebas akmayofilebs x-isnebismieri mniSvneloba, romlisTvisac x 2 –9≥0, x∈(–∞; –3]∪[3; +∞).b) –x 2 +7x–6≥0, x 2 –7x+6≤0, saidanac x∈[1;6].25 a) vTqvaT, turistebi dRiurad xkm-is gavlas apirebdnen. amocanis maTematikurimodeli aseTiaZ] 6(x+5)>90[] 8(x–5)
sinjvis xerxi. cxrilSi CavweroT yvela SesaZlo ricxvi da SevarCioT is, romelicamocanis pirobas akmayofilebsxy yx namravli jami15 51 765 6626 62 1612 8837 73 2701 11048 84 4032 13259 95 5605 154pasuxi: 26.b) vTqvaT, saZiebeli orniSna ricxvia xy=10x+y, sadac y=x–3, anu xy=11x–3. misimomdevno ricxvia 11x–2. pirobiT,Z][]\(11x–3)(11x–2)>275011x–3+11x–2
Page 1: guram gogiSvili, Teimuraz vefxvaZei
Page 7 and 8: Sesavaliwigni Seicavs meTodikur rek
Page 9: iuli faqtebis, terminebis warmoSobi
Page 12 and 13: მიმართულება:
Page 14 and 15: Sinaarsisa da miznebis rukaTemebis
Page 16 and 17: geometriuli figurebi.veqtorebi sivr
Page 19 and 20: Sefasebis sistemas da gakveTilebis
Page 21: jgufuri muSaobisTvis amocanebi SeiZ
Page 24 and 25: • 10 ქულა უნდა
Page 26 and 27: SevTavazoT moswavleebs A da B simra
Page 28 and 29: yuradRebiT gavarCioT me-4 magaliTi
Page 30 and 31: sasurvelia moswavleebs SeaxsenoT fo
Page 32 and 33: sanimuSo gakveTili #5aqtivoba: xdom
Page 35 and 36: sadac I igivuri funqciaa. misi gana
Page 37: mniSvnelovania kavSiri veqtorebze m
Page 41 and 42: d) mocemuli utoloba tolfasia x(x+5)
Page 43 and 44: d) mocemulis tolfasi utolobaa:2x+3x
Page 45 and 46: pasuxi: (-∞; -3)∪(3;+ ∞).|x|
Page 47 and 48: pirobiT, rom arSiis farTobi ar iyos
Page 49 and 50: 15 a) mocemulis tolfasi sistemaaZ]
Page 51: Tu 0≤-a
Page 55 and 56: 3 pirobiT, parabolis Stoebi qveviT
Page 57 and 58: SearCieT swori pasuxi:sakontrolo we
Page 59 and 60: gantolebis yvela fesvi miRebulis fe
Page 61 and 62: MA+MB=5√2 , TviT AB monakveTis si

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