ogor visargebloT wigniTwigniT sargebloba rom gagiadvildeT, ramdenime rCevas mogcemT.saxelmZRvanelos TiToeuli Tavi masSi mocemuli ZiriTadi sakiTxebisCamonaTvaliT iwyeba.TiToeuli Tavi paragrafebisgan Sedgeba. paragrafebi, rogorc wesi,ornawiliania. pirveli nawili Teoriul masalas eTmoba. misi gadmocemapraqtikuli magaliTebis ganxilviT mimdinareobs. am nawils Seswavlilimasalis SejamebiT vasrulebT.sagjies niSnaki migvaniSnebs paragrafis meore nawilis dawyebas _ `sxvadasxva~. aq istoriuli sakiTxebi da sxva damxmare masalaa mocemuli.es niSnaki amocanebis CamonaTvals win uZRvis.zogierTi paragrafis Teoriul nawilsa da amocanebs mosdevs savarjiSoebi,romliTac Seswavlil (maT Soris _ gasul wlebSic)sakiTxebs gaimeorebT. am nawilis dawyebas gvauwyebs es sagangeboniSnaki.SemogTavazebT jgufuri muSaobis proeqtebs _ es TanaklaselebTanerToblivad muSaobis gamocdilebas Seg ma tebT. aq SeiZleba dag-WirdeT informaciis damo u ki de be li moZiebac da misi damuSavebac.vin iqneba pirveli. am niSnakiT warmodgenili amocanebis amoxsnisasecadeT, gamWriaxobasTan erTad sxa rti azrovnebac gamoavlinoT.Cvenileqsikoniteqstis ukeT gagebis mizniT saWirod CavTvaleT zo gi er Ti sityviswarmomavlobis, misi msgavsi mniSv ne lo be bi sa an sinonimebismiTiTeba. aRniSnuli miTiTebebi Cvens leq si konSia mocemuli.am saTauriT gamoyofil Ca na werebs Tqven xSi rad SexvdebiT. igiTqvens sityvaTa ma rag sac gaamdidrebs da ufro gasagebs gaxdiswignis Si na arss.!rveulSiam niSnakiT drodadro SegaxsenebT, rom yvela amocana undagadaita noT rveulSi da DSemdeg SeasruloT. wignSi Canawerebi arunda gakeTdes!gaufrTxildiT wigns!6masSi Tqvenma Canawerebma wigni SeiZlebasxvebisTvis gamousadegari gaxados!
1gameoreba. iracionaluri ricxvebi.erTucnobian utolobaTa sistemaam TavSi gavimeorebT da gavifarTovebT Cvens codnasricxvebis Sesa xeb, ricxviTi utolobebis, wrfivi erTucnobianiutolobis Sesaxeb. gavecnobiT iracionalur ricxvebs,wrfiv erTucnobian utolobaTa sistemis amoxsnasa da misgamoyenebebs.1.1 racionaluri ricxvebi1) ricxvebis Seswavla naturaluri ricxvebiT daviwyeT. Tvlis, an gadanomrvisdros am ricxvebs viyenebT. isini naturalur ricxvTa mwkrivis saxiTwarmovadgineT:1, 2, 3, ....temperaturis cvlilebis gamosaxvisas mTeli uaryofiTi ricxvebis gamoyenebadaviwyeT _ Tu haeris temparatura, magaliTad, 2 0 -iT Semcirda, maSin escvlileba SeiZleba ase gamovsaxoT _ cvlileba –2 0 -ia; –2 mTeli uaryofiTiricxvia.mTel ricxvebs mTel ricxvTa mwkrivis saxiTac warmovadgendiT:mTeli ricxvebi644444444474444444448...; - 3; - 2; - 1 0; ; 2; 3;...1444424444 3 144 2443mTeli uaryofiTi ricxvebi;mTeli dadebiTi ricxvebinaturalur ricxvTa simravles _ simravles, romelsac yvela naturaluriricxvi adgens, N-iT aRvniSnavT, mTel ricxvTa simravles _ Z-iT.gazomvis Sedegebis warmodgenisas (magaliTad, sigrZis, farTobis, drois,wonis da a.S.) dadebiT racionalur ricxvebs viyenebdiT.AB C DmagaliTad, vTqvaT, SevarCieT sigrZis zomis erTeuli, romelic suraTzegamosaxuli AB monakveTiTaa warmodgenili. Tu igi CD monakveTSi 4-jer mo-Tavsdeba da kidev darCa monakveTi, romelSic AB-s mexuTedi 3-jer moTavsda,maSin CD-s sigrZes warmovadgenT ricxviT _ 4 53 an5 23 -iT (AB monakveTis mexuTediCD-Si 23-jer moTavsda). 523 dadebiTi racionaluri ricxvia, igi wiladissaxiTaa Cawerili.7
- Page 5 and 6: sarCevirogor visargebloT wigniTI Ta
- Page 7: VII Tavi albaToba§6.1. elementarul
- Page 11 and 12: 5 CamoTvlili winadadebebidan romeli
- Page 13: 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 ,
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22 romel or momdevno mTel ricxvs So
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1.6 proporcia da ukuproporcia1) saR
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aSearCieT swori pasuxi1 romeli tolo
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19 erTnairi sigrZis ori oTaxidan er
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34 vTqvaT, S manZilia (km-Si), t _
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4 Tu samkuTxedis gverdebi 6, 8, 10-
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1.8 ricxviTi utoloba. utolobaTa dam
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sutolobis > da < niSnebi ingliselma
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23 x>-15, y≤-2,5. CamoTvlilTagan
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40 daasabuTeT: Tu a>0, b>0, c>0, ma
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amoxsna. vTqvaT, moZraobis siCqarea
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7 a-s mniSvnelobebi, romlebisTvisac
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18 erT-erTi raionis pensionerebisTv
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arauaryofiTi mTeli amonaxsnebis mis
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28 |x|>5 utolobis amonaxsnTa simrav
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II xerxi|3x-6|>6, 3|x-2|>6, |x-2|>2
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2) Tu dajarimdi, maSin avtomobilis
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30 nikam 8000 lari or sxvadasxva ba