23 x>-15, y≤-2,5. CamoTvlilTagan romeli mniSvnelobis miRebaSeuZlia x-2y gamosaxulebas?1) -12,5 2) -10 3) -20 4) 0.amoxseniT amocanebi24 vTqvaT, a da b dadebiTi ricxvebia da a11.a bb25 vTqvaT, a dadebiTi ricxvia. daasa buTeT ori xerxiT (sxvaobisganxilviT da saSualoebs Soris kavSiris ganxilviT):a +1a$ 2.26 vTqvaT, a uaryofiTi ricxvia. daasabuTeT sxvadasxva xerxiT (magaliTad,gamoiyeneT utolobaTa Tvisebebi, saSualo sidideebs Sorisdamokidebuleba): a +1a# - 2.27 cnobilia, rom a≥7,2, b≥-2,4.a) ra umciresi mniSvnelobis miReba SeuZlia a+b gamosaxulebas,b) ra umciresi mTeli mniSvnelobis miReba SeuZlia a+b gamosaxulebas?28 cnobilia, rom a≤3,4, b
35 gamosaxulebaSi gamoyaviT sruli kvadrati da ipoveT am gamosaxulebisumciresi mnvneloba:a) 4x 2 +4x+9, b) a 2 +4a+1,g) 25x 2 -20x+12, d) 16a 2 -40a+50.36 giorgim 3 sT avtomobiliT imgzavra, 5 sT _ motocikliT; laSam _ 4sT avtomobiliT, 4 sT _ moticikliT. orive SemTxvevaSi avtomobilissiCqare iyo v 2, motociklis _ v 1, v 2>v 1. SeadareT giorgisa da laSasmier gavlili manZilebi.37 suraTze marTkuTxa samkuTxediagamosaxuli: a, b kaTetebiTa da chipotenuziT. vTqvaT, CD=h simaRlea,AD=d, DB=e.• piTgoras Teoremis gamoyenebiT h 2gamo saxeT jer b da d ricxvebiT, Semdeg_ e da a ricxvebiT.• SekribeT miRebuli tolobebi da gamosaxeT h 2 hipotenuziTa da d da e ricxvebiT.• h gamosaxeT d da e ricxvebiT _ daasabuTeTM rom marTkuTxasamkuTxedis marTi kuTxis wverodan gavlebuli simaRleL hipotenuzazekaTetebis gegmilebis (d-s da e-s) geometriuli saSualoa.• daasabuTeT, rom marTkuTxa samkuTxedis marTi kuTxis wverodangavlebuli mediana kaTetebis gegmilebis ariTmetikuli saSualoa.• gamoiyeneT dasabuTebuli debulebebi da warmoadgineT saSualoebsSoris (ariTmetikulsa da geometriuls Soris) Tanafardobis kideverTi geometriuli damtkiceba.38 vTqvaT, a, b da c dadebiTi ricxvebia. daasabuTeT:a + b + c $ ab + bc + acmiTiTeba. gamoiyeneT saSualoebs Soris kavSirebi a da b, ada c, b da c wyvilebisTvis.39 (jgufuri muSaoba) a) daasabuTeT sxvadasxva xerxiT: Tu a da bdadebiTi ricxvebia da a>b, maSin a 2 >b 2 (geometriuli xerxi, algebrulixerxi, sawinaaRmdegos daSvebis xerxi).b) daasabuTeT sxvadasxva xerxiT:• Tu a>b, maSin a 3 >b 3 .• Tu a 3 >b 3 , maSin a>b.g) vTqvaT, a, b, c, d dadebiTiricxvebia. daasabuTeT, Tu ad-bc
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sarCevirogor visargebloT wigniTI Ta
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VII Tavi albaToba§6.1. elementarul
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1gameoreba. iracionaluri ricxvebi.e
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5 CamoTvlili winadadebebidan romeli
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magaliTi 1CavweroT wiladis saxiT: 0
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3) axla racionaluri ricxvebis geome
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34 vTqvaT, x racionaluri ricxvia, x
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49 gamoiyeneT geometriuli warmodgen
- Page 23 and 24: Tu naturalur ricxvTa mwkrividan _1,
- Page 25: sagzao SemTxvevisas moasfaltebulgza
- Page 48: nebismieri namdvili ricxvi SeiZleba
- Page 54 and 55: 1.5 n-uri xarisxis Nfesvi. fesvis T
- Page 56 and 57: CvenileqsikonimaTematikur niSans ,
- Page 58 and 59: 22 romel or momdevno mTel ricxvs So
- Page 60 and 61: 1.6 proporcia da ukuproporcia1) saR
- Page 62 and 63: aSearCieT swori pasuxi1 romeli tolo
- Page 64 and 65: 19 erTnairi sigrZis ori oTaxidan er
- Page 66 and 67: 34 vTqvaT, S manZilia (km-Si), t _
- Page 68 and 69: 4 Tu samkuTxedis gverdebi 6, 8, 10-
- Page 70 and 71: 1.8 ricxviTi utoloba. utolobaTa dam
- Page 72 and 73: sutolobis > da < niSnebi ingliselma
- Page 76 and 77: 40 daasabuTeT: Tu a>0, b>0, c>0, ma
- Page 78 and 79: amoxsna. vTqvaT, moZraobis siCqarea
- Page 80 and 81: 7 a-s mniSvnelobebi, romlebisTvisac
- Page 82 and 83: 18 erT-erTi raionis pensionerebisTv
- Page 84 and 85: arauaryofiTi mTeli amonaxsnebis mis
- Page 86 and 87: 28 |x|>5 utolobis amonaxsnTa simrav
- Page 88 and 89: II xerxi|3x-6|>6, 3|x-2|>6, |x-2|>2
- Page 90 and 91: 2) Tu dajarimdi, maSin avtomobilis
- Page 92: 30 nikam 8000 lari or sxvadasxva ba