Tavi - Ganatleba
Tavi - Ganatleba
Tavi - Ganatleba
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§6 msgavsi samkuTxedebis farTobebis Sefardeba<br />
B<br />
A C<br />
B 1<br />
A 1 C 1<br />
1<br />
I <strong>Tavi</strong><br />
ori xe izrdeba sxvadasxva pirobebSi. amitom er-<br />
Tis foToli daaxloebiT 1,5-jer grZelia meorisa.<br />
daadgineT, ramdenjer metia erTi foTolis far-<br />
Tobi meoris farTobze?<br />
msgavsi samkuTxedebis farTobebis Sefardeba tolia<br />
Sesabamisi gverdebis kvadratebis Sefardebisa.<br />
moc. ΔABC ~ ΔA 1 B 1 C 1<br />
u. d.<br />
S �ABC<br />
S�A1B1 C1<br />
=<br />
damtkiceba:<br />
AB 2<br />
2<br />
A1B1 pirobis Tanaxmad,<br />
AC AB<br />
ΔABC~ΔA B C ⇒ =<br />
1 1 1 A1C1 A B<br />
AB=k·A B . 1 1<br />
S ∆ABC = 1<br />
2<br />
1 1<br />
≡ k ⇒ AC=k·A 1 C 1 da<br />
AB·AC·sin∠A = 1<br />
2 k·A 1 B 1 ·k·A 1 C 1 ·sin∠A 1 =<br />
= 1<br />
2 k ·A 1B1 ·A 1C1 ·sin∠A 1 =k ·S ⇒ ∆A1B 1C1 S�ABC S�A1B1 C1<br />
a b c ha la ma p R r √S<br />
ΔABC~ΔA B C ⇒ 1 1 1 = = = = = = = = = ··· =<br />
a1 b1 c1 h l m p1 R1 r a1 a1 a1<br />
1 √<br />
S 1<br />
=k . r.d.g.<br />
1
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