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ºðÎð²â²öàôÂÚàôÜ 11

ºðÎð²â²öàôÂÚàôÜ 11

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ÜÏ. 38<br />

ì»ñóÝ»Ýù ³ÛÅÙ A 1 (a 1 ; b 1 ; c 1 ) ¨<br />

A 2 (a 2 ; b 2 ; c 2 ) Ï»ï»ñ ¨ ·ïÝ»Ýù A 1 A 2<br />

áõÕÕÇ Ñ³í³ë³ñáõÙÁ£ øÝݳñÏ»Ýù<br />

Ý³Ë ³ÛÝ ¹»åùÁ, »ñμ ³Û¹ Ï»ï»ñÇ<br />

ѳٳå³ï³ëË³Ý Ïááñ¹ÇݳïÝ»ñÁ<br />

Çñ³ñ ѳí³ë³ñ ã»Ý£ ¸Çóáõù M(x; y;<br />

z)-Á A 1 A 2 áõÕÕÇ áñ¨¿ Ï»ï ¿, Áݹ áñáõÙ,<br />

áñáß³ÏÇáõÃÛ³Ý Ñ³Ù³ñ »Ýó¹ñ»Ýù<br />

û ·ïÝíáõÙ ¿ A 1 A 2 ׳鳷³ÛÃÇ íñ³£<br />

гٳå³ï³ëË³Ý ÝÙ³ÝáõÃÛáõÝ-<br />

Ý»ñÇó (ÝÏ. 38) ëï³ÝáõÙ »Ýùª<br />

x − a 1 A 1 M<br />

−−−−−− = −−−−−£<br />

a 2 −a 1 A 1 A 2<br />

y - b 1 z − c 1<br />

²Û¹åÇëÇÝ ÏÉÇÝ»Ý Ý³¨ −−−−−− , −−−−−−<br />

b 2 - b 1 c 2 − c 1<br />

ѳñ³μ»ñáõÃÛáõÝÝ»ñÁ£ л勉μ³ñ A 1 (a 1 ; b 1 ; c 1 )¨ A 2 (a 2 ; b 2 ; c 2 ) Ï»ï»ñáí ³ÝóÝáÕ<br />

áõÕÇÕÁ ïñíáõÙ ¿<br />

x − a 1 y − b 1 z − c −−−−− = −−−−− = −−−− 1<br />

a 2 −a 1 b 2 −b 1 c 2 −c 1<br />

ѳí³ë³ñáõÙÝ»ñáí, »Ã» ³Û¹ Ï»ï»ñÇ Ñ³Ù³å³ï³ëË³Ý Ïááñ¹ÇݳïÝ»ñÁ<br />

Çñ³ñ ѳí³ë³ñ ã»Ý£<br />

¸Çï³ñÏ»Ýù ³ÛÅÙ ³ÛÝ ¹»åùÁ, »ñμ A 1 ¨ A 2 Ï»ï»ñÇ Ïááñ¹ÇݳïÝ»ñÇ Ù»ç ϳÝ<br />

Çñ³ñ ѳí³ë³ñÝ»ñ£ ¸Çóáõù c 1 = c 2 = c£ ²Û¹ ¹»åùáõÙ A 1 A 2 áõÕÕÇ μáÉáñ Ï»ï»ñÇ<br />

ѳٳñ z = c ¨ »Ã» a 1 ≠ a 2 , b 1 ≠ b 2 , ³å³ ѳٳå³ï³ëË³Ý áõÕÇÕÁ ïñíáõÙ ¿<br />

x − a y − b 1<br />

----------- = ---------<br />

{ a 2 −a 1 b 2 −b 1<br />

z = c<br />

ѳٳϳñ·áí£<br />

ÊݹÇñÝ»ñ, ³é³ç³¹ñ³ÝùÝ»ñ, ѳñó»ñ<br />

1. ñ»ù A(−2; 1; 3) ¨ B(1; 5; −3) Ï»ï»ñáí ³ÝóÝáÕ áõÕÕÇ Ñ³í³ë³ñáõÙ-<br />

Ý»ñÁ£<br />

2. ²é³ç³ñÏ»ù »Õ³Ý³Ï, áñÇ û·ÝáõÃÛ³Ùμ áõÕÇÕÁ ϳñ»ÉÇ ¿ ï³É ÙÇ Ñ³í³ë³ñáõÙáí£<br />

58

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