I Tavi

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I <strong>Tavi</strong> gavixsenoT! x = a, maSin a 2 = x. 46 10* amoxseniT gantoleba: a) x − 2 = x–4; b) 3x + 1 = x–1. 11 velosipedistma 20 km sigrZis aRmarTi da 60 km sigrZis swori gza 6 saaTSi gaiara. ra siCqariT moZraobda velosipedisti gzis TiToeul ubanze, Tu misi siCqare aRmarTze 50 km/sT-iT naklebia, vidre swor gzaze? 12 Tu 5 katas 5 Tagvis dasaWerad sWirdeba 5 wuTi, ramdeni kataa saWiro imisTvis, rom 100 wuTSi daiWiron 100 Tagvi? 13 sferos zedapirze aRebulia nebismieri 3 wertili. ra aris albaToba imisa, rom es wertilebi aRmoCndeba erT naxevarsferoze? A B 14 sami adamiani A, B da C iTvlidnen 4 feris burTulebs, amasTan yoveli maTgani sworad arCevda 2 fers, xolo danarCeni ori SeiZleba areoda. erTi ver arCevda wiTels da forToxlisfers. meore forToxlisfers da yviTels, mesame yviTels da mwvanes. ramdeni da ra feris burTula iyo, Tu daTvlis Sedegebi moyvanilia cxrilSi. wiTeli forToxlisferi yviTeli mwvane A 2 5 7 9 B 2 4 9 8 C 4 2 8 9 amocana damoukidebeli kvlevisTvis: 15 daSaleT mravalwevri mamravlebad: a) 3x 2 –5xy–2y 2 ; b) y 4 –xy 3 –xy+x 2 . C
Seamowme Seni codna: 1 Tu f(x)=x 2 funqciis grafikze mdebareobs (a;b) wertili, maSin amave grafikis wertilia: a) (–a;–b); b) (a;–b); g) (–a;b); d) (–a;a+1). 2 y = x 2 da y = –5 wirebs aqvT: a) erTi saerTo wertili; b) arc erTi saerTo wertili; g) ori saerTo wertili; d) sami saerTo wertili. 3 2x2 – 3x – 7 = 0 gantolebis amonaxsnebi aris f da g funqciaTa grafikebis gadakveTis wertilTa abscisebi, sadac: a) f : x → x2 b) f : x → x2 g : x → 1 x–7. 2 3 g : x → 2 x+7. g) f : x → x2 d) f : x → x2 g : x → 3 7 x+ . 2 2 g : x → 3x+7. 4 x 2 =b–1 gantolebas aqvs ori gansxvavebuli amonaxseni, Tu: a) b>0; b) b≥0; g) b1. 5 kvadratul gantolebas ara aqvs amonaxseni mxolod maSin, roca: a) D0; g) D≥0; d) D≤0. 6 ax 2 +bx+c=0 kvadratul gantolebas aqvs ara umetes erTi amonaxseni mxolod maSin, roca a) D≤0; b) D0. 7 Tu x 2 +kx+15=0 gantolebis fesvia 5, maSin k= a) 5; b) -8; g) 8; d) 10. 8 Tu (x+5)(x-8)≥0, maSin x∈ a) (-5;8); b) (–∞;–5) (8;∞); g) x∈[8;∞); d) [–∞;–5) [8;∞). 9 y = area: 2 4 − x funqciis gansazRvris a) x
Page 3: nana jafariZe maia wilosani nani
Page 6 and 7: IV Tavi . . . . . . . . . . . . . .
Page 8 and 9: 6 rogor visargebloT wigniT wignze m
Page 10 and 11: I Tavi 8 f funqciaa h ar aris funqc
Page 12 and 13: I Tavi gasaxseneblad! p(A) = m n ,
Page 14 and 15: I Tavi -4 12 4 a) savarjiSoebi: 1 r
Page 16 and 17: I Tavi 14 4) rodis moawyves turiste
Page 18 and 19: I Tavi 16 2 amovicnoT wrfivi funqci
Page 20 and 21: I Tavi 18 SeavseT gamotovebuli adgi
Page 22 and 23: I Tavi 20 proeqti: gazomvebidan fun
Page 24 and 25: I Tavi 22 y 10 -3 -2 -1 0 1 2 3 9 8
Page 26 and 27: I Tavi 24 15% 1,5 < n ≤ 2 20% 1 <
Page 28 and 29: I Tavi 26 nax. 1 kvadratul gantoleb
Page 30 and 31: I Tavi 28 3 dawereT kvadratuli gant
Page 32 and 33: I Tavi davazustoT! roca D = 0, kvad
Page 34 and 35: I Tavi 32 amovxsnaT formuliT (3x 2
Page 36 and 37: I Tavi 34 z) 10x 2 −120 + 6x = 98
Page 38 and 39: I Tavi navis sakuTari siCqarea navi
Page 40 and 41: I Tavi 38 6 amovxsnaT jgufuri mecad
Page 42 and 43: I Tavi x 1 da x 2 ricxvebi arian x
Page 44 and 45: I Tavi 42 17 amoxseniT gantoleba: a
Page 46 and 47: I Tavi 44 yuradReba: Tu D=0, maSin,
Page 50 and 51: I Tavi 48 I Tavis damatebiTi savarj
Page 52 and 53: I Tavi 50 K y = x 2 A B -3 -2 -1 K
Page 54 and 55: I Tavi 52 39 A punqtidan B punqtisa
Page 56 and 57: I Tavi narevSi gaxsnili nivTierebis
Page 58: 56 I TavSi Seswavlili masalis mokle

I Tavi

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