maTematika 7

More documents

Recommendations

Info

aqtivobis aRwerademonstrireba: gakveTilis dasawyisSi dafaze davxazoT kvadrati, romlis gverdi3 erTeulis tolia, xolo am kvadratis mezoblad davxazoT marTkuTxedi, romlissigrZe 2 erTeuliT metia kvadratis gverdis sigrZeze, xolo sigane 2 erTeuliTnaklebia kvadratis gverdis sigrZeze. orive figuras mivaweroT maTi zomebi.SekiTxva mTel klass: vTqvaT es kvadrati gamosaxavs Tqven sakuTar miwis nakveTs dagTavazoben rom igi gaucvaloT am marTkuTxa miwis nakveTSi. daTanxmdebodiT Tu araaseT SemoTavazebaze? cxadia, rom TvalzomiT rTulia imis SemCneva, rom am figurebstoli perimetri aqvT, aseve rTulia ramis Tqma maTi farTobebis Sesaxeb, amitomgarkveul etapze saWiroa SevTavazoT moswavleebs rom maT gamoTvalon am figurebisperimetrebi da farTobebi. SekiTxva klass: risi tolia TiToeuli maTganis farTobi?risi tolia TiToeuli maTganis garSemoweriloba?kvadratuli formis miwis nakveTis farTobi 9 kvadratuli erTeulis tolia.marTkuTxa formis miwis nakveTis farTobi 5 kvadratuli erTeulis tolia.am ori miwis nakveTis garSwemoweriloba erTmaneTis tolia da udris 12 erTeuls.moswavleebi amCneven rom am konkretrul SemTxvevaSi kvadratis formis miwisnakveTis farTobi metia marTkuTxedis formis miwis nakveTis farTobze. SevTavazoTmaT rom ganazogadon es faqti, risTvisac saWiro iqneba garkveuli kvleviTi samuSaosCatareba.wyvilebSi muSaoba: klasi davyoT wyvilebad da davurigoT winaswar gamzadebulicxrili.kvadratimarTkuTxedifarTobTasxvaobagverdissigrZefarTobi sigrZe sigane farTobi3 9 5 1 5 44567×„svetebi, romlebic gamosaxavs marTkuTxedis sigrZes da siganes, unda Seivsos ise,rom marTkuTxedis perimetri toli iyos Sesabamisi kvadratis perimetris, xolomarTkuTxedis sigrZisa da siganis sxvaoba mudmivi iyos. gamoTvaleT kvadratisa damarTkuTxedis farTobebi da SeavseT Sesabamisi svetebi“. gamartivebul SemTxvevaSiSeiZleba SevTavazoT iseTi cxrili, romelSic es ori sveti winaswaraa Sevsebuliricxvebis erTiT mzardi mimdevrobiT.rodesac yvela wyvili asrulebs davalebas, erTi an ramdenime moswavle avsebskedelze gamokrul didi zomis cxrils.SekiTxva: „ra kanonzomierebebis SemCneva SeiZleba miRebuli cxrilis saSualebiT“?garkveuli diskusiis Semdeg klasi Tanxmdeba imaze, rom ZiriTadi kanonzomierebawarmoCenili bolo svetSi, sadac erTi da igive ricxvi weria, e.i. farTobebis sxvaobamudmivia.25masc_cigni_VII_kl_cor.indd 25 03.07.2012 15:46:26
Page 2 and 3: nana jafariZemaia wilosaninani wula
Page 4 and 5: IV Tavi .. . . . . . . . . . . . .
Page 6 and 7: erovnuli saswavlo gegmaწლის
Page 11 and 12: მიმართულება:
Page 13 and 14: III Tavimonacemebi.cxrilebi.wriuli
Page 18 and 19: gTavazobT ramdenime gakveTilis sani
Page 20 and 21: aTwiladebiT. msjeloba SeiZleba gagr
Page 22 and 23: diagramis ageba:sTxoveT moswavleebs
Page 26 and 27: Semdeg ganixileba meore magaliTi, r
Page 28 and 29: amoxsnebi, miTiTebebi:6. a) 5
Page 30 and 31: 11. jer ganvixiloT Sedgenili urTier
Page 33 and 34: 4. cxadia gaiyofa, I Tvisebis Tanax
Page 35 and 36: 23. WeSmaritia b. ricxvi 5-is jerad
Page 37 and 38: 9. am SemTxvevaSi, radgan dro Sebi
Page 39 and 40: 12. A - ASavi feris mqone CitebiB -
Page 41 and 42: IARmoswavleTa raodenoba, romle bic
Page 43 and 44: 4. 6 wrfe.arc erTi sami wertili erT
Page 45: eziume:4. sxivimoswavlem unda SeZlo
Page 48: 7. kuTxereziume:moswavlem unda SeZl
Page 51: eziume:10. mosazRvre kuTxeebimoswav
Page 54: 9.24perimetrebis jami tolia 8·5+16
Page 58: III Taviam TavSi gaecnobiT:monaceme
Page 62 and 63: 14. mTeli gzis 40% 80 km-ia dasageb
Page 64 and 65: 26. a) 50%; b) 25%; g) =240%; d) =1
Page 66 and 67: 7. cxrilis Tanaxmad, 37 — 10060 #
Page 68 and 69: 6. nika — xx=7;y 2luka — y x+y=
Page 70 and 71: 30. a) 120 dReSi; b) 16 dReSi; g) 1
Page 72 and 73: 25. a)4 $ 32= 6; b)7 $ 62= 21.26. a
Page 74 and 75:
24. ganvixiloT yvelaze cudi variant
Page 76 and 77:
eziume:6. racionaluri ricxvebis gam
Page 78 and 79:
x x10. x -20=4. unda gavigoT x 100
Page 80 and 81:
13.iyogaxdaI brigada x x+12II briga
Page 82 and 83:
saSualod TiToeulze3x + 4x + 5x3= 4x
Page 84 and 85:
4. 4,5-7,8-(-3,1·5)+(-4,5):2=a) 12
Page 86 and 87:
12. a) AC:BC=1:4 A(-5) B(10) AB=15.
Page 88:
5. DABC→DA 1B 1C 1.A(1;1)→A 1(2
Page 91 and 92:
amoxsnebi, miTiTebebi:C1. samkuTxed
Page 93 and 94:
eziume:11. samkuTxedis tolferdobis
Page 95 and 96:
eziume:13. samkuTxedis tolobis III
Page 97 and 98:
amoxsnebi, miTiTebebi:3. a=1,9; b=0
Page 99 and 100:
A7. kuTxeTa tolobis es sqema moswav
Page 101 and 102:
9. ganv. ΔABD. cxadia AB=BD≡a.AD
Page 103 and 104:
6.7.8.9.BCAD10.103masc_cigni_VII_kl
Page 105 and 106:
14. x+(x+3)·2=15,6 x=3,2 3,2; 6,2;
Page 107 and 108:
39. 4x=180°, e.i. x=45°. paralelo
Page 109:
am TavSi gaecnobiTVI Tavixarisxsa d
Page 112 and 113:
eziume:4. erTwevrisa da mravalwevri
Page 115 and 116:
eziume:8. mravalwevris daSla mamrav
Page 117:
sakontrolo wera №61. 32·35·37·
show all

maTematika 7

Create successful ePaper yourself

Delete template?

Save as template?