maTematika 7

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amoxsnebi, miTiTebebi:2. ABC samkuTxedSi ∠C=60° A wverosTan ,debare gare kuTxe 130°-ia. ipoveT ∠B.amoxsna: 130°=∠B+60°.∠B=70°.3. samkuTxedis ori kuTxe 30° da 80°-ia. ipoveT mesame wverosTan mdebare gare kuTxe.amoxsnAa: α=80°+30°=110°.5. samkuTxedis gare kuTxeebia 180°–α; 180°–β;180°–γ.maTi jami: 180°–α+180°–β+180°–γ=3·180°–(α+β+γ)=3·180°–180°=360°, r.d.g.AabBgC6. a) ar SeiZleba, maSin samkuTxedSi ori blagvi kuTxe iqneba;b) ar SeiZleba; g) SeiZleba.KB7. ∠ABK=2α, magram ∠ABK=∠A+∠C, e.i. 2α=∠A+α, saidanac ∠A=α,miviReT AB=BC, samkuTxedis tolferdobis niSnis gamo.AaC10. rogorc viciT, usj (a;b)·usg(a;b)=a·b, e.i. ab=240·8=48·8·5=48·40. radgan 5-sTanamamravlad umciresi Seicavs da amave dros iyofa 8-ze. umciresi Tanamamravli40-ia, udidesi — 48.11. jer vimsjeloT bolo cifrze. bolo cifri ver iqneba 2; 3 da 0 (arc erTi srulikvadrati ar bolovdeba 2-iT, 3-iT da erTi 0-iT). e.i. bolo cifria 5. nebismieri 5-iTdaboloebuli ricxvis kvadrati bolovdeba 25-iT. e.i. saZiebeli ricxvis kvadratia3025=55 2 .12. qalebi — 35%, e.i. kacebi — 65%, kacebi 30%-iT meti arian, vidre qalebi da es 30%252-ia.x $ 30100= 252 x=840.reziume:9615. samkuTxedis utolobamoswavlem unda SeZlos imis Semowmeba mocemuli sami sigrZis monakveTisgan SedgebaTu ara samkuTxedi. samkuTxedis utolobis dawera nebismieri samkuTxedisTvis. samkuTxedisageba mocemuli gverdebis mixedviT.masc_cigni_VII_kl_cor.indd 96 03.07.2012 15:46:56
amoxsnebi, miTiTebebi:3. a=1,9; b=0,7. c1,2. radgan c-s sigrZe mTeliricxvia c=2.4. ganvixiloT ori SemTxveva a) 10; 10; 25; b) 25; 25; 10. a) SeEuZlebelia, radgan 10+10
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 25 and 26:
aqtivobis aRwerademonstrireba: gakv
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eziume:I Tavi1. gameorebamoswavlem
Page 29 and 30:
13. a) ((2(x+1)+10):5+8)·3-6=30((2
Page 31:
27. P=2(2x+12)=4(x+6)sigrZe x+12sig
Page 34 and 35:
12. ipoveT, ra cifriT bolovdeba ric
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4. naSTi movZeboT rogorc cifrTa jam
Page 38 and 39:
4. amocana gamodgeba jgufuri muSaob
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21. x+2x+3x=222.x=3722. I - x II -
Page 42 and 43:
4. 144-isa da 162-is umciresi saerT
Page 44 and 45:
g) d)4. a) 1 wertili b) 3 wertili5.
Page 47 and 48: 15. a) yvela meSvideklaseli wiTuria
Page 50 and 51: Seamowme Seni codna1. wrfeze agebul
Page 53 and 54: 6. (180°-130°)·2=100°.7. a=6m+2
Page 56: 14. ar SeiZleba _ Tu A, B da C wert
Page 61 and 62: 5. procenties gakveTili sasurvelia
Page 63 and 64: amoxsnebi, miTiTebebi:2 # 1003. kla
Page 65 and 66: amoxsnebi, miTiTebebi:AC1. g) BC=3.
Page 67 and 68: 4. rioni — 300 km; enguri — 300
Page 69 and 70: 2505. a) = 0, 2 =40020%; b) . 0,29
Page 71 and 72: gaecnobiTIV TaviuaryofiT ricxvebs.
Page 73 and 74: eziume:3. ricxvis modulimoswavlem u
Page 75 and 76: amoxsnebi, miTiTebebi:6. WeSmaritia
Page 77 and 78: eziume:7. gamravlebis ganrigebadobi
Page 79 and 80: 17. AC=2x da BC=5x; 7x=14, e.i. x=2
Page 81 and 82: 25.iyorom yofiliyosiCqare x x+10man
Page 83 and 84: 24. drois erTeulad CavTvaloT is dro
Page 85 and 86: amoxsnebi, miTiTebebi:1. a) 7; 10;
Page 87 and 88: eziume:3. grafikimoswavlem unda SeZ
Page 90 and 91: eziume:8. samkuTxedis kuTxeebis jam
Page 92 and 93: 7. A(-2;-1) B 1(2;1).8.9.1 $ 10% +
Page 94 and 95: 12. monakveTis SuamarTobireziume:mo
Page 98 and 99: 4. wertilidan wrfemde manZilis da s
Page 100 and 101: AP6. ∠BPN=∠NPB=45°.BNC8. a= b
Page 102 and 103: 19. rombi, rombis farTobiamocanebi:
Page 104 and 105: 11. a) simetriis centria diagonaleb
Page 106 and 107: 24. samkuTxedis erT wverosTan mdeba
Page 108 and 109: sakontrolo wera №51. Tu A 1wertil
Page 111 and 112: 8. b) 8x-3-(5-2x)=4,38x-3-5+2x=4,31
Page 113: OR12. B ∆OAB-Si AB
Page 116 and 117: 9. kubebis jami da kubebis sxvaoba1
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maTematika 7

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