I Tavi
I Tavi I Tavi
I Tavi 18 SeavseT gamotovebuli adgilebi: 1. Tu y = 3x + 5 funqciisTvis arguments mivaniWebT mniSvnelobebs bijiT1, maSinSesabamisifunqciismniSvnelobebierTmaneTisagan ? gansxvavdeba. 2. TuargumentismudmivinazrdisSemTxvevaSifunqciisSesabamisi nazrdebi tolia, maSin es funqcia ? funqciaa. 3. Tu y = –2x + 3 funqciis mniSvnelobaTa mimdevrobis yoveli wevri winaze 4-iT naklebia, maSin argumentis Sesabamisi mniSvnelobebi erTmaneTisagan ? -iT gansxvavdeba. savarjiSoebi: 1 m ricxvis 5-ze gayofisas miiReba ganayofi k da naSTi 3. dawereT Sesabamisi formula. ra damokidebulaa k-sa da m-s Soris? aris Tu ara es damokidebuleba wrfivi funqcia. ipoveT m, roca gamyofi tolia 4; 5; 6. dawereT funqciis gansazRvris are; mniSvnelobaTa simravle. 2 mgzavri pirvel saaTSi gadis 3km-s da yovel Semdeg sT-Si 2kmiT mets. SeadgineT mgzavris mier pirvel 10sT-Si gavlili manZilebis cxrili. aageT Sesabamisi grafiki. aris Tu ara mocemuli damokidebuleba wrfivi funqcia? dawereT Sesabamisi damokidebulebis formula. 3 bavSvTa sacurao auzis gaxsnis pirvel dRes 14 bavSvi movida, xolo yovel Semdeg dRes 3 bavSviT meti modioda. gaxsnidan romel dRes miva auzze 44 bavSvi,32 bavSvi,26 bavSvi. iqnebaTu ara romelime dRes 22 bavSvi? SeadgineT cxrili: dReebi → im dRes bavSvebis raodenoba. aris Tu ara aRniSnuli damokidebuleba wrfivi funqcia? 4 gaarkvieT aris Tu ara cxrilSi mocemuli damokidebuleba wrfivi funqcia: dadebiTi pasuxis SemTxvevaSi dawereT Sesabamisi formula. a) x –5 –2 1 4 7 b) x –4 –2 0 2 4 y 4 3 2 0 –1 y 6 3 0 –3 –6 g) x –3 –2 –1 0 1 2 d) x –4 –3 –2 –1 1 2 y –2 –1,5 –1 –0,5 0 0,5 y 5 4 3 2 1 0
5. cnobilia, rom x da y cvladebs Soris arsebobs wrfivi damokidebuleba. SeavseT carieli ujrebi: a) x 0 1 2 3 4 5 b) x –2 0 2 4 6 8 y –3 0 y –5 1 6. N pirovnebam isesxa 1000 lari im pirobiT, rom yovelTviurad mevalisaTvis dasabrunebeli Tanxa gaizrdeboda nasesxebi Tanxis (1000 laris) 5%-iT. SeadgineT cxrili Tveebi → dasabrunebeli Tanxa. rogori damokidebuleba arsebobs dasabrunebel Tanxasa da Tveebis raodenobas Soris? dawereT Sesabamisi formula (miRebul formulas martivi procentis formula ewodeba). 7. urnidan, romelSic 5 TeTri da 8 wiTeli birTvia, iReben or birTvs. ipoveT imis albaToba, rom orive birTvi wiTeli ferisaa. 8. miwis nakveTis gegmas aqvs paralelogramis forma. ipoveT nakveTis farTobi, Tu gegmaze paralelogramis maxvili kuTxea 30°, gverdebi ki 21 sm da 8 sm-ia. cnobilia, rom gegma Sesrulebulia 1 : 100 000 masStabiT. 9. glexi Wyint yvels 6 larad yidis, xolo Semagrebuls _ 6,5 larad. cnobilia, rom transportirebisas Wyinti yvelis yovel kilograms gasdis 100 gr/wyali. ra ufro momgebiania movaWrisTvis, iyidos 20kg Wyinti Tu Semagrebuli yveli? 10. romel sakoordinato meoTxedebSi gaivlis y=kx+b funqciis grafiki, Tu: a) k>0; b0; b>0; e) k
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- Page 8 and 9: 6 rogor visargebloT wigniT wignze m
- Page 10 and 11: I Tavi 8 f funqciaa h ar aris funqc
- Page 12 and 13: I Tavi gasaxseneblad! p(A) = m n ,
- Page 14 and 15: I Tavi -4 12 4 a) savarjiSoebi: 1 r
- Page 16 and 17: I Tavi 14 4) rodis moawyves turiste
- Page 18 and 19: I Tavi 16 2 amovicnoT wrfivi funqci
- Page 22 and 23: I Tavi 20 proeqti: gazomvebidan fun
- Page 24 and 25: I Tavi 22 y 10 -3 -2 -1 0 1 2 3 9 8
- Page 26 and 27: I Tavi 24 15% 1,5 < n ≤ 2 20% 1 <
- Page 28 and 29: I Tavi 26 nax. 1 kvadratul gantoleb
- Page 30 and 31: I Tavi 28 3 dawereT kvadratuli gant
- Page 32 and 33: I Tavi davazustoT! roca D = 0, kvad
- Page 34 and 35: I Tavi 32 amovxsnaT formuliT (3x 2
- Page 36 and 37: I Tavi 34 z) 10x 2 −120 + 6x = 98
- Page 38 and 39: I Tavi navis sakuTari siCqarea navi
- Page 40 and 41: I Tavi 38 6 amovxsnaT jgufuri mecad
- Page 42 and 43: I Tavi x 1 da x 2 ricxvebi arian x
- Page 44 and 45: I Tavi 42 17 amoxseniT gantoleba: a
- Page 46 and 47: I Tavi 44 yuradReba: Tu D=0, maSin,
- Page 48 and 49: I Tavi gavixsenoT! x = a, maSin a 2
- Page 50 and 51: I Tavi 48 I Tavis damatebiTi savarj
- Page 52 and 53: I Tavi 50 K y = x 2 A B -3 -2 -1 K
- Page 54 and 55: I Tavi 52 39 A punqtidan B punqtisa
- Page 56 and 57: I Tavi narevSi gaxsnili nivTierebis
- Page 58: 56 I TavSi Seswavlili masalis mokle
5. cnobilia, rom x da y cvladebs Soris arsebobs wrfivi<br />
damokidebuleba. SeavseT carieli ujrebi:<br />
a) x 0 1 2 3 4 5<br />
b) x –2 0 2 4 6 8<br />
y –3 0 y –5 1<br />
6. N pirovnebam isesxa 1000 lari im pirobiT, rom yovelTviurad<br />
mevalisaTvis dasabrunebeli Tanxa gaizrdeboda nasesxebi<br />
Tanxis (1000 laris) 5%-iT.<br />
SeadgineT cxrili Tveebi → dasabrunebeli Tanxa. rogori<br />
damokidebuleba arsebobs dasabrunebel Tanxasa da Tveebis<br />
raodenobas Soris? dawereT Sesabamisi formula (miRebul<br />
formulas martivi procentis formula ewodeba).<br />
7. urnidan, romelSic 5 TeTri da 8 wiTeli birTvia, iReben or birTvs.<br />
ipoveT imis albaToba, rom orive birTvi wiTeli ferisaa.<br />
8. miwis nakveTis gegmas aqvs paralelogramis forma. ipoveT nakveTis<br />
farTobi, Tu gegmaze paralelogramis maxvili kuTxea<br />
30°, gverdebi ki 21 sm da 8 sm-ia. cnobilia, rom gegma Sesrulebulia<br />
1 : 100 000 masStabiT.<br />
9. glexi Wyint yvels 6 larad yidis, xolo Semagrebuls _ 6,5<br />
larad. cnobilia, rom transportirebisas Wyinti yvelis<br />
yovel kilograms gasdis 100 gr/wyali. ra ufro momgebiania<br />
movaWrisTvis, iyidos 20kg Wyinti Tu Semagrebuli yveli?<br />
10. romel sakoordinato meoTxedebSi gaivlis y=kx+b funqciis<br />
grafiki, Tu:<br />
a) k>0; b0; b>0;<br />
e) k
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