gTavazobT saerTo samagistro gamocdis testis nimuSs
gTavazobT saerTo samagistro gamocdis testis nimuSs
gTavazobT saerTo samagistro gamocdis testis nimuSs
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testi 1<br />
amocana 16<br />
naxazze gamosaxulia ABC D<br />
paralelogrami, romlis B da D<br />
wveroebidan gavlebulia BE da DF<br />
simaRleebi. miRebuli BFDE<br />
oTxkuTxedi kvadratia.<br />
mocemulia Semdegi ori piroba:<br />
I. ABE da C DF samkuTxedebidan TiToeulis perimetri 30 sm-is<br />
tolia.<br />
II. BFDE kvadratis perimetri 48 sm-is tolia.<br />
imisaTvis, rom vipovoT ABC D paralelogramis perimetri,<br />
(a) sakmarisia I piroba, xolo II piroba ar aris sakmarisi.<br />
(b) sakmarisia II piroba, xolo I piroba ar aris sakmarisi.<br />
(g) sakmarisia I da II piroba erTad, magram cal-calke arc erTi ar aris<br />
sakmarisi.<br />
(d) sakmarisia TiToeuli piroba cal-calke.<br />
(e) orive piroba erTad ar aris sakmarisi, saWiroa damatebiTi pirobebi.<br />
I piroba sakmarisia ABCD paralelogramis perimetris<br />
sapovnelad, radgan am paralelogramis perimetri ABE da CDF<br />
samkuTxedebis perimetrebis jamis tolia. marTlac, radgan BFDE<br />
kvadratia, BF BE , amitom ABE samkuTxedis perimetri EABF<br />
texilis sigrZis tolia. analogiurad, radgan DE DF , amitom CDF<br />
samkuTxedis perimetri FCDE texilis sigrZis tolia. rCeba<br />
SevniSnoT, rom ABCD paralelogramis perimetri EABF da FCDE<br />
texilebis sigrZeebis jamis tolia.<br />
vaCvenoT, rom II piroba ar aris sakmarisi ABCD paralelogramis<br />
perimetris dasadgenad. amisaTvis, ganvixiloT qvemoT mocemul 1 da<br />
2 naxazebze gamosaxuli paralelogramebi (monakveTebis zomebi<br />
santimetrebSi da marTi kuTxeebi miTiTebulia). orive maTgani<br />
akmayofilebs II pirobas, Tumca, pirvel SemTxvevaSi ABCD<br />
paralelogramis perimetri 60 sm-ia, meore SemTxvevaSi ki _ 96 sm.<br />
144<br />
A<br />
B<br />
E<br />
F<br />
D<br />
C
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