rogor vipovoT kanonzomiereba?

ganmaviTarebeli savarjiSoebi

umcrosi saskolo asakis bavSvebisaTvis

Tbilisi

2

uak (UDC) 159.9

r 728

wignSi mocemulia davalebebi bavSvebis logikuri azrovnebis gasaviTareblad da gankuTvnilia bavSvebis, maTi mSoblebis, maswavleblebisa da fsiqologebisaTvis.

pirveli davalebebi Zalian martivia, SemdegSi ki TandaTan rTuldeba. ase rom dawyebiTi klasebis moswavleebisaTvis Zalian saintereso iqneba.

rogor vipovoT kanonzomiereba? SegaxsenebT, rom kanonzomiereba es aris mdgradi, arsebiTi kavSiri

movlenebsa da procesebs Soris. wignSi moyvanili savarjiSoebi bavSvebs ganuviTarebs gamosaxulebebs, cnebebsa da figurebs Soris martivi kanonzomierebebis damyarebis unars.

kanonzomierebis gamovlenis unari sxva inteleqtualuri operaciebis msgavsad universaluri xasiaTisaa. amis gamo, martivi davalebebis Sesrulebisas Camoyalibebuli unarebi analogiuri, magram azrovnebis ufro rTuli operaciebis ganxorcielebis fundamenti gaxdeba.

Seadgina nino labartyavam yda moamzada qeTi yifianma

aRniSnuli proeqti ganxorcielda saqarTvelos erovnuli samecniero fondis finansuri xelSewyobiT (granti # GNSF/PRES 08/2-318). winamdebare publikaciaSi gamoTqmuli nebismieri azri ekuTvnis avtors da SesaZloa ar asaxavdes erovnuli samecniero fondis Sexedulebebs.

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mocemulia vaSlebis, msxlebis, bananebis gamosaxulebebi. isini garkveuli TanmimdevrobiTaa ganlagebuli. moifiqre, romeli xili unda Caxato cariel ujraSi.

1. igive moqmedeba Seasrule foTlebis gamosaxulebebze. rogori foToli unda iyos cariel ujraSi.

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2. ipove kanonzomiereba da Casvi saWiro soko cariel ujraSi

3. Sens win qoTnebis gamosaxulebaa. ipove kanonzomiereba da

Casvi is qoTani, romlis Caxatvac mxatvars daaviwyda.

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4. rogori xe unda exatos bolo ujraSi?

5. rogori lampis Caxatva daaviwyda mxatvars?

6

7. romeli geometriuli figura aklia?

8. romeli geometriuli figura aklia?

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9. romeli geometriuli figura aklia?

10. ra feris da romeli geometriuli figurebi aklia?

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11. rogori saxli unda iyos Caxatuli Tavisufal ujraSi?

12. romeli geometriuli figura aklia?

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13. romeli geometriuli figura aklia?

14. romeli geometriuli figura aklia?

10

15. ramdeni isari unda iyos Tavisufal ujraSi?

16. rogori geometriuli figura aklia?

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17. rogori geometriuli figura aklia?

18. rogori geometriuli figura aklia?

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19. ramdeni burTula unda iyos Tavisufal ujraSi?

20. rogori da ra feris geometriuli figura unda iyos

Tavisufal ujraSi?

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21. ramdeni burTula unda iyos Tavisufal ujraSi?

22. romeli figura unda iyos Caxatuli Tavisufal ujraSi?

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23. rogori isari unda iyos Tavisufal ujraSi?

24. ra dros unda uCvenebdes saaTi Tavisufal ujraSi?

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25. romel emocias unda gamoxatavdes saxe Tavisufal ujraSi?

26. romeli figura unda iyos Tavisufal ujraSi?

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27. romeli aso unda eweros Tavisufal ujraSi? rogori Seferilobis?

28. rogori geometriuli figura unda iyos Tavisufal ujraSi?

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29. rogori geometriuli figurebi unda iyos Tavisufal ujraSi?

30. romeli aso unda eweros Tavisufal ujraSi?

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31. frCxilebSi Casmuli sityvebi mis gverdiT mdgomi sityvebidanaa miRebuli. ipove kanonzomiereba da cariel adgilas Cawere miRebuli sityvebi.

1) gelaTi [gemi] mixaki beladi [ ] limoni

2) lava [vazi] xazi Tofi [ ] viri

3) xali [xari] rifi kari [ ] tani

4) Rori [firi] lafi Romi [ ] Jolo

32. SegiZlia ipovno Camovardnili namsxvrevi?

33. yvela kacunas Tavisi xasiaTi aqvs. gamoicani, vin rogor

xasiaTzea.

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34. daiTvale peplebi

35. daakvirdi naxatebs. marjvena naxatze Caamate gamorCenili

detalebi.

36. romel biliks unda gahyves kurdReli, rom stafilomde

miaRwios da gzaze mglebs ar gadaeyaros?

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37. ori gogona xatavda: erTi mefis asuls, meore ZaRls, ras

xatavda sofo, Tu natom ZaRli daxata.

a) ZaRls g) katas b) mefis asuls d) ufliswuls

38. romeli cxovelis nawilebi gamoiyena mxatvarma ararsebuli

cxovelebis daxatvisas.

39. moifiqre daboloeba

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40. moifiqre sityvebis dasawyisi

41. romeli droSa aklia

42. daexmare lokokinas labirinTidan gamosvlaSi

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43. daTvi, mela da mgeli sam saxlSi cxovrobs. erTi maTgani cxovrobs did fanjrian TeTr saxlSi, meore did fanjrian nacxrisfer saxlSi, mesame ki patara fanjrian nacrisfer saxlSi. mgels da melas did fanjriani saxlebi aqvT, mgels da daTvs nacrisferi. daexmare mxecebs ipobnon TavianTi saxlebi.

44. ipovne ori erTnairi fiso da gaaferade

45. amoirCie saWiro figura 6 danomrili figuridan

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46. romeli cifri aklia?

47. romeli cifri aklia?

48. erTi SexedviT, es lokokinebi erTnairia, Tumca erTi

maTgani gansxvavdeba danarCenisagan. ipove es lokokina da gaaferade.

49. ipove naxatebze 10 gansxvaveba

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50. gansazRvre rogori kanonzomierebiTaa ganlagebuli cifrebi pirvel or wreSi da Casvi mesame wreSi gamotovebuli cifri.

51. Casvi gamotovebuli ricxvi.

52. ramdeni vaSlia daxatuli naxatze?

53. cifrebi 1-dan 11-mde ise ganalage, rom erT xazze

ganlagebul kvadratebSi cifrTa jami 18-is toli iyos.

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54. aarCie saWiro figura 7 danomrili figuridan

55. romeli ricxvi aklia?

56. Casvi gamotovebuli ricxvi

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57. gansazRvre, ra aris saerTo Semdeg sityvebs Soris:

wvima _ setyva cxviri _ Tvali zRapari _ igavi

58. ninom, Tinikom da sofom tyeSi xili Seagroves _ erTma

maTganma marwyvi, meorem mocvi, mesamem Jolo. vis ra xili mougrovebia, Tu Tinikos ar Seugrovebia marwyvi, xolo sofos _ marwyvi da mocvi.

59. romel cxovels ekuTvnis es yurebi da kudi.

60. ise, rom fanqari qaRaldidan ar moacilo da erTi da igive

xazi orjer ar gaavlo, daxaze es figurebi.

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61. sasworis erT mxareze (pinaze) sazamTroa moTavsebuli. meoreze _ nesvi da 3 cali 1kg.-iani sawoni. ramdeni kg-iT mZimea sazamTro nesvze?

62. TiToeul rigSi ipovne da gaxaze is sami cifri, romelTa

SekrebiT miiReba wreSi Casmuli cifri.

63. wrewirebSi Cawere nebismieri cifri imgvarad, rom isari

wridan yovelTvis mimarTuli iyos didi cifridan patara cifrisaken.

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64. Casvi maTematikuri moqmedebis gamotovebuli niSani.

1 2 3 4 5 = 5

1 2 3 4 5 = 7

1 2 3 4 5 = 9

1 2 3 4 5 = 15

65. Casvi maTematikuri moqmedebis gamotovebuli niSani.

3 4 5 6 7 8 = 17

3 4 5 6 7 8 = 21

3 4 5 6 7 8 = 19

3 4 5 6 7 8 = 23

66. danomrili 4 figuridan Casvi erTi saWiro figura

gamotovebul adgilas.

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67. Casvi 6 danomrili figuridan erTi saWiro figura.

68. Casvi 6 danomrili figuridan erTi saWiro figura

69. daamTavre cifrebis mwkrivi

10. . . . . 17. . . . . 24. . . . . ? 40. . . . . 35. . . . . 30. . . . . ?

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70. moifiqre 6 cifrisagan Semdgari mwkrivi, romelic raime garkveul kanonzomierebas Seicavs.

71. Sens winaSea cxrili, romelSic nebismieri wesiT Cawerilia

cifrebi 1-dan 20-mde, oRond cifri 20-ia, ujredi 16. ipovne da amowere romeli 4 cifri aklia TiToeul cxrilSi?

72. Cawere cifrebi ise, rom jami yvela mimarTulebiT toli iyos.

73. ramdeni samkuTxedi da ramdeni oTxkuTxedia naxazze?

74. biWunas tyeSi ZaRli daekarga. daexmare povnaSi

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75. romeli figura aklia 4 danomrili figuridan?

76. romeli figura aklia 6 danomrili figuridan?

77. romeli figura aklia 6 danomrili figuridan?

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78. daasrule naxatis meore naxevari.

79. amoarCie saWiro figura 6 danomrili figuridan.

80. amoarCie saWiro figura 6 danomrili figuridan.

81. Casvi gamotovebuli cifri.

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82. amoarCie saWiro figura.

83. amoarCie saWiro figura.

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pasuxebi

36

37

31. _ 1) beli; 2) firi; 3) kata; 4) lomi 79. _ 1

32. _ 1 80. _ 1

34. _ 10 81. _ 5

37. _ mefis asuli 82. _ 2

41. _ 83. _ 6

44. _ 1 da 5

45. _ 6

46. _ 6

47. _ 15

48. _ 4

50. _ 14

51. _ 4

52. _ 12

54. _ 7

55. _ 61

56. _ 3

66. _ 4

67. _ 6

68. _ 1

75. _ 4

76. _ 6

77. _ 5

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yda moamzada q. yifianma