gTavazobT saerTo samagistro gamocdis testis nimuSs
gTavazobT saerTo samagistro gamocdis testis nimuSs gTavazobT saerTo samagistro gamocdis testis nimuSs
testi 1 amrigad, erTsa da imave droSi B -dan gamosuli avtomobili gaivlida 2-jer met manZils, vidre A -dan gamosuli avtomobili, rac niSnavs imas, rom B -dan gamosuli avtomobilis siCqare 2-jer metia A -dan gamosuli avtomobilis siCqareze. swori pasuxia (b). amocana 3 naxazze gamosaxuli kvadratis TiToeul cariel ujraSi unda Caiweros TiTo ricxvi ise, rom yovel striqonSi, yovel svetSi da yoveli didi diagonalis gaswvriv Cawerili ricxvebis jami erTi da igive aRmoCndes. daadgineT, ra ricxvi unda eweros N-iT aRniSnul ujraSi. (a) 2 (b) 3 (g) 5 (d) 6 (e) 9 radgan marcxnidan pirvel svetSi Cawerili ricxvebis jami 15-is tolia, amitom, meore striqonis gamotovebul ujraSi unda Caiweros ricxvi 5, raTa am striqonSi Cawerili ricxvebis jamic 15-is toli aRmoCndes. pirobis Tanaxmad, TiToeul diagonalze Cawerili ricxvebis jamic 15-is toli unda iyos, saidanac gamomdinareobs, rom cxrilis ukidures qveda marjvena ujraSi unda Caiweros ricxvi 2. radgan qveda striqonSi Cawerili ricxvebis jamic 15-is toli unda iyos, amitom unda Sesruldes 4 N 2 15 toloba, saidanac viRebT, rom N 9. swori pasuxia (e). 130 8 3 3 4 8 3 3 4 8 3 3 4 N 5 N 5 N 7 7 7 2
ganmartebebi, raodenobrivi msjeloba SeniSvna: martivad mowmdeba, rom cxrilis srulad Sevsebis Semdeg mas Semdegi saxe eqneba: amocana 4 8 3 3 4 131 1 6 trapecia, romlis perimetria 20sm, dayofilia sam tolgverda samkuTxedad (ix. naxazi). risi tolia TiToeuli samkuTxedis perimetri? (a) 10sm (b) 12sm (g) 16sm (d) 18sm (e) 24sm cxadia, pirobaSi naxsenebi samive tolgverda samkuTxedi erTmaneTis tolia. vTqvaT, TiToeuli samkuTxedis gverdis sigrZe a sm-ia (ix. naxazi qvemoT). naTelia, rom trapeciis perimetri 5a sm-is tolia. meore mxriv, pirobis Tanaxmad, es perimetri 20 sm-ia, anu, 5a 20 , saidanac a 4 . aRniSnuli tolgverda samkuTxedebidan TiToeulis perimetri 3a sm-ia. amrigad, saZiebeli perimetria 3a 3 4 12 sm. swori pasuxia (b). 5 9 a a a a 7 2 a a a
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ganmartebebi, raodenobrivi msjeloba<br />
SeniSvna: martivad mowmdeba, rom cxrilis srulad Sevsebis Semdeg<br />
mas Semdegi saxe eqneba:<br />
amocana 4<br />
8<br />
3<br />
3<br />
4<br />
131<br />
1 6<br />
trapecia, romlis perimetria 20sm,<br />
dayofilia sam tolgverda samkuTxedad (ix.<br />
naxazi). risi tolia TiToeuli samkuTxedis<br />
perimetri?<br />
(a) 10sm (b) 12sm (g) 16sm (d) 18sm (e) 24sm<br />
cxadia, pirobaSi naxsenebi samive tolgverda samkuTxedi<br />
erTmaneTis tolia. vTqvaT, TiToeuli samkuTxedis gverdis sigrZe<br />
a sm-ia (ix. naxazi qvemoT).<br />
naTelia, rom trapeciis perimetri 5a sm-is tolia. meore mxriv,<br />
pirobis Tanaxmad, es perimetri 20 sm-ia, anu, 5a 20 , saidanac a 4 .<br />
aRniSnuli tolgverda samkuTxedebidan TiToeulis perimetri 3a<br />
sm-ia. amrigad, saZiebeli perimetria 3a 3 4 12 sm.<br />
swori pasuxia (b).<br />
5<br />
9<br />
a<br />
a a a<br />
7<br />
2<br />
a a<br />
a