4 Tu samkuTxedis gverdebi 6, 8, 10-is proporciulia, maSin essamkuTxedi1) maxvilkuTxaa 2) marTkuTxaa3) blagvkuTxaa 4) ar aris marTkuTxa.5 samkuTxedis perimetri 180 sm-ia. misi gverdebi 5, 12 da 13-isproporciulia. ipoveT am samkuTxedis umciresi gverdis sigrZe.1) 15 sm 2) 12 sm 3) 10 sm 4) 30 sm.6 ipoveT samkuTxedis udidesi kuTxe, Tu misi kuTxeebi proporciulia2-is, 3-isa da 7-is.1) 115 0 2) 135 0 3) 145 0 4) 105 0 .7 ipoveT samkuTxedis umciresi kuTxe, Tu kuTxeebi 1, 3 da 4-isproporciulia.1) 20,5 0 2) 22,5 0 3) 21,5 0 4) 18,5 0 .amoxseniT amocanebi8 cnobilia, rom sami mdinaris sigrZeebi 21-is, 18-isa da 16-isproporciulia. umciresi maTgani 500 km-iT moklea udidesze. ipoveTTiToeuli mdinaris sigrZe.9 muSebis sami brigada erTnair samuSaossxvadasxva droSi asrulebs: pirveli _8 saaTSi, meore _ 6 saaTSi, mesame _ 5saaTSi. erTsa da imave droSi maT sul 118erTnairi detali daamzades. ramdeni detalidaumzadebia TiToeul maTgans?miTiTeba. gaiTvaliswineT, rom 1 saaTSi pirveli samuSaos 1 8 -sasrulebs, meore _ 1 6 -s da mesame 1 5-s. maSasadame, 118 undagavyoT miRebuli ricxvebis proporciulad.10 samkuTxedis gverdebi 3-is, 5-isa da 6-is proporciulia. udidesigverdi umciress aRemateba 64,2 sm-iT. ipoveT samkuTxedis gverdebi.11 ori kubis wiboebi ise Seefardeba, rogorc 3:4. maTi moculobebisjami 156 sm 3 -ia. risi tolia TiToeuli kubis moculoba?12 sami ricxvis jami 140-ia. pirveli ricxvi ise Seefardeba meores,rogorc 2:3. meore ise Seefardeba mesames, rogorc 4:5. ipoveT esricxvebi.13 arsebobs Tu ara iseTi samkuTxedi, romlis pirveli gverdi iseSeefardeba meores, rogorc 2:3, meore ise Seefardeba mesames, rogorc4:5?66
14 im samuSaosTvis, romelsac pirveli muSa 4 sT-Si asrulebs, meores6 sT sWirdeba, mesames _ 4,5 sT. aseTi muSaobiT samivem erTadcvlaSi 460 erTnairi detali daamzada. ramdeni detali daumzadebiaTiToeuls?15 Senadnobi Sedgeba spilenZis, vercxlisa da nikelisgan, romelTamasebi 13-is, 4-is da 3-is proporciulia. ipoveT Senadnobis masa, TuSenadnobSi 4,8 kg-iT meti spilenZi Sedis, vidre nikeli.16 ori qalaqidan, romelTa Soris 280 kilometria,erTmaneTis Sesaxvedrad moto cikli da avtomanqanagamovida. avtomanqanis mier 2 saaTSi gavlili manZi lisgasavlelad motocikls 5 saaTi sWirdeba.maTi Sexvedris momentSi ra manZili eqnebagavlili avtomanqanas?17 moswavleebma iyides erTnairi wignebi daerTnairi rveulebi, sul _ 40 cali. yoveliwignis fasis Sefardeba rveulis fasTan aris 3:2. yvela wignSi imdenivegadaixades, ramdenic yvela rveulSi. ramdeni wigni iyides?miTiTeba. SeiZleba airCioT aseTi gza _ 40-is gayofa 1 3 da 1 2 -isproporciul nawilebad; ratom?18 vTqvaT, wertili moZraobs ABC tolgverda samkuTxedis gverdebzeda gadaadgildeba A-dan B-Si 4 m/wm siCqariT, B-dan C-Si _ 3 m/wmsiCqariT, xolo C-dan A-Si _ 6 m/wm siCqariT. mTeli gzis gasavleladmas sWirdeba 36 wm.• ra manZils gadis 1 wm-Si wertili A-dan B-sken moZraobisas?• ra manZils gadis 1 wm-Si wertili B-dan C-Si moZraobisas?• ra manZils gadis 1 wm-Si wertili C-dan A-Si moZraobisas?• ra dros xarjavs wertili TiToeuli gverdis gavlisas?• risi tolia TiToeuli gverdis sigrZe?19 maRaziam gamomcemlobidan Seisyida 4-lariani,5-lariani da 10-lariani wignebi. sul _ 880 cali.amasTanave, 4-larian, 5-larian da 10-larian wignebSierTnairi Tanxebi gadaixada.• ra ricxvebis proporciulia TiToeuli fasiswignebis odenobebi?• ramdeni 4-lariani, 5-lariani da 10-lariani wigni iyida maRaziam?20 Brogor gavyoT samkuTxedi B-dan gavlebuliwrfiT (wrfeebiT):a) toli farTobebis mqone or samkuTxedad?b) or samkuTxedad, romelTa farTobebisSefardebaa 1:2?g) or samkuTxedad, romelTa Sefardebaa 2:3?AC d) sam samkuTxedad, romelTa farTobebisSefardebaa 1:2:3?67
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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
- Page 17 and 18: 3) axla racionaluri ricxvebis geome
- Page 19 and 20: 34 vTqvaT, x racionaluri ricxvia, x
- Page 21 and 22: 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 70 and 71: 1.8 ricxviTi utoloba. utolobaTa dam
- Page 72 and 73: sutolobis > da < niSnebi ingliselma
- Page 74 and 75: 23 x>-15, y≤-2,5. CamoTvlilTagan
- 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