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28RKFCBpraqtikuli danarTi maswavleblebisaTvisgakveTilis gegma maTematikaSi:marTkuTxa koordinatTa sistema sivrceSizaur papiaSviligakveTili mogvawoda proeqt `aswavle saqarTvelosTvis~ monawilemTema: marTkuTxa koordinatTa sistema sivrceSimizani: moswavleebi SeZleben koordinatebis mixedviT gansazRvron obieqtis(wertilis) adgilmdebareoba sivrceSi da piriqiT, sivrceSi nebismier wertilsSeusabamon koordinatebi.baza: ician marTkuTxa koordinatebis mixedviT wertilis povna sibrtyeze.aqtivoba 1: bazis, anuwinaswari codnis Semowmebadro: 8 wuTimuSaobis forma: klasTan da individualuriSefaseba: individualuri, ganmavi-Tarebeliresursebi: marTkuTxa koordinatTasistema sibrtyeze warmodgeniliplakatis saxiTmoswavleebi gvaZleven am wertilisSesabamis koordinatebs.aqtivoba 2: obieqtis povnasivrceSidro: 17 wuTimuSaobis forma: mTel klasTanSefaseba: ar xdebaresursebi:1. moxuci kacis mier dawerili werilisaslebi (TiTo moswavlesTiTo asli)SeniSvna: werili Znelad ikiTxeba.msvleloba:yovel moswavles vurigeb werilisasls. isini ecnobian mas. masSiaRweril viTarebas plakatis saxiTwarmovadgen: sawyisi wertilimuxis Ziria, muxas vukavSirebT ZRerZs, wyaros _ X RerZs, xolomsvleloba:vixsenebT, rom nebismier wertilssibrtyeze Seesabameba ori koordinati.warmovadgenT marTkuTxakoordinatTa sistemas plakatissaxiT. mocemuli koordinatebiTvpoulobT wertils sibrtyeze. SemowmebismizniT, moswavleebs vaZlevTkoordinatebs da isini poulobenwertils. SesaZlebelia piriqiTac_ vaZlevT wertils da
N6, 2009 29muxis ZirSi gavlebuli X RerZismarTobuli RerZi iqneba Y. CavTvaloT,rom erTi nabijis sigrZeerTi erTeulia. moxucis mier naxsenebiganZis adgilmdebareobisdasadgenad gvWirdeba sawyisi wertili(muxis Ziri) da sami parametri,anu sami koordinati X RerZze(nakadulis gaswvriv), Y RerZze(nakadulidan marjvniv) da Z Rer-Zze (siRrmeSi Txra). amrigad, vaskvniT,rom sivrceSi raime obieqtis(wertilis) mdebareobis dasadgenadgvWirdeba aTvlis saTave(sawyisi wertili) da sami koordinati.Tu saZiebel wertilsaRvniSnavT M-iT, maSin misi koordinatebiiqneba: X=7; Y=-4,5; Z=-1,5.wiTel naWerSi gaxveul werils saklasooTaxis WaRSi SeumCnevladvmalav. mniSvnelovania, rom moswavleebmaes ar icodnen. SemdegmaT jgufebad vyof da veubnebi:`saklaso oTaxis erT-erTi kuTxeCaTvaleT sawyis wertilad, xolomisgan gamomavali sami wibo, Sesabamisad,X, Y, Z RerZebad~. TiToeuljgufs vaZlev koordinatebsda vavaleb, maTi mixedviT gansaz-Rvron damaluli sagnis adgilmdebareoba.amasTan vuTiTeb, romdamaluli sagani wiTel naWerSiagaxveuli. mocemuli koordinatebi,sinamdvileSi, naTuris koordintebia,rac moswavleebma arician. TiToeul jgufs mosafiqreblad5 wuTs vaZlev. Semdeg romelijgufic mzad iqneba, mas SeeZlebasazomi ruletis daxmarebiT`X~, `Y~ da `Z~ RerZebze zustadgadazomos koordinatebi daipovos damaluli sagani. werilisoriginalis povna, vfiqrob, moulodneliiqneba maTTvis, rac, Tavismxriv, STabeWdilebas moaxdensmTel klasze. rac Seexeba jguf-Si moswavleTa raodenobas dajgufebis raodenobas, amis gansaz-Rvra mTeli klasis moswavleTaraodenobis mixedviT SegviZlia.sasurveli iqneba, Tu TiTo jguf-Si sami-xuTi moswavle gveyoleba.rogor warmoadgina problema;ramdenad sworad gadaWra igi.jgufis wevrebs vafaseb kriteriumebiT:ramdenad iyvnen jgufis muSaobaSiCarTuli (aqtiuroba);ra wvlili Seitanes jgufis mu-SaobaSi;rogori urTierToba hqondaTjgufis wevrebs erTmaneTTan.agreTve SesaZlebelia sxva jgufebsSevafasebinoT im jgufis mu-Saoba, romelmac amocana amoxsna.aqtivoba 3: jgufurimuSaoba mdebareobisdasadgenadaqtivoba 4: daskvnada Semowmeba, Tu rogorgaiges masaladro: 12 wuTimuSaobis forma: jgufuriSefaseba: jgufuri, ganmaviTarebeliresursebi: wiTel naWerSi gaxveulimoxucis werilis originalida manZilis sazomi ruletimsvleloba:dro: 8 wuTimuSaobis forma: klasTan da individualuriSefaseba: individualuri da ganmaviTarebeliresursebi: carci da dafamsvleloba:daskvnis saxiT SegviZlia CamovayaliboT,rom sivrceSi nebismierwertils Seesabameba mkacrad gansazRvrulisami koordinati, xolomocemul sam koordinats _ maTiSesabamisi sivrcis gansazRvruliwertili. erT an or moswavles individualuradvkiTxav, rogor gaigesaxsnili masala. maT vaZlevkoordinatebs da isini poulobenwertils, an piriqiT _ wertils Seusabamebensam koordinats.jgufis muSaobas vafaseb SemdegikriteriumebiT:rogor gaigo jgufma problemisarsi;
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- Page 12 and 13: 10 eqspertira arissertificireba2009
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- Page 18 and 19: 16 resursisofo gorgoZerogor Sevadgi
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- Page 44 and 45: 42cvalebadobis mizezi xanCemSivea,
- Page 46 and 47: 44 problemainkluziuriganaTlebaspeci
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- Page 58 and 59: 56masSi me-8-9-10 klasis moswavleeb
- Page 60: venis Zvel kapelmaisterTan mivida y
28RKFCBpraqtikuli danarTi maswavleblebisaTvisgakveTilis gegma maTematikaSi:marTkuTxa koordinatTa sistema sivrceSizaur papiaSviligakveTili mogvawoda proeqt `aswavle saqarTvelosTvis~ monawilemTema: marTkuTxa koordinatTa sistema sivrceSimizani: moswavleebi SeZleben koordinatebis mixedviT gansazRvron obieqtis(wertilis) adgilmdebareoba sivrceSi da piriqiT, sivrceSi nebismier wertilsSeusabamon koordinatebi.baza: ician marTkuTxa koordinatebis mixedviT wertilis povna sibrtyeze.aqtivoba 1: bazis, anuwinaswari codnis Semowmebadro: 8 wuTimuSaobis forma: klasTan da individualuriSefaseba: individualuri, ganmavi-Tarebeliresursebi: marTkuTxa koordinatTasistema sibrtyeze warmodgeniliplakatis saxiTmoswavleebi gvaZleven am wertilisSesabamis koordinatebs.aqtivoba 2: obieqtis povnasivrceSidro: 17 wuTimuSaobis forma: mTel klasTanSefaseba: ar xdebaresursebi:1. moxuci kacis mier dawerili werilisaslebi (TiTo moswavlesTiTo asli)SeniSvna: werili Znelad ikiTxeba.msvleloba:yovel moswavles vurigeb werilisasls. isini ecnobian mas. masSiaRweril viTarebas plakatis saxiTwarmovadgen: sawyisi wertilimuxis Ziria, muxas vukavSirebT ZRerZs, wyaros _ X RerZs, xolomsvleloba:vixsenebT, rom nebismier wertilssibrtyeze Seesabameba ori koordinati.warmovadgenT marTkuTxakoordinatTa sistemas plakatissaxiT. mocemuli koordinatebiTvpoulobT wertils sibrtyeze. SemowmebismizniT, moswavleebs vaZlevTkoordinatebs da isini poulobenwertils. SesaZlebelia piriqiTac_ vaZlevT wertils da