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°ÇÃà Architecture


ÀÌÂ÷ÇÔ¼ö¿Í x Ãà »çÀÌ¿¡ ¸¸µé¾îÁö´Â Á÷»ç°¢ÇüÀÇ ÃÖ´ë µÑ·¹±æÀÌ

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x Ãà°ú µÎ Á¡¿¡¼­ ¸¸³ª´Â ÀÌÂ÷ÇÔ¼ö y = a*x^2 + b*x ¿Í x Ãà »çÀÌ¿¡ ¸¸µé¾îÁö´Â Á÷»ç°¢ÇüÀÇ ÃÖ´ë µÑ·¹±æÀ̸¦ ±¸ÇÑ´Ù.

ÀÌÂ÷ÇÔ¼öÀÇ ²ÀÁöÁ¡ÀÇ x °ªÀº -b/(2*a) ÀÌ°í, x Ãà°ú ¸¸³ª´Â µÎ Á¡ÀÇ x °ªÀº x1=0, x2=-b/a °¡ µÈ´Ù.

»ç°¢ÇüÀÇ µÑ·¹±æÀÌ L Àº,

L = 4*(-b/(2*a) -x) + 2*y
 = 4*(-b/(2*a) -x) + 2*(a*x^2 + b*x)
 = -2*b/a -4x + 2*a*x^2 + 2*b*x
 = 2*a*x^2 + (2*b-4)*x - 2*b/a
 = 2*(a*x^2 + (b-2)*x - b/a)

ÀÌ µÇ°í, ÃÖ´ë°ªÀÌ µÇ´Â x = -(b-2)/(2*a) À̹ǷÎ,

Lmax = 2*(a*((b-2)/(2*a))^2 - (b-2)*(b-2)/(2*a) - b/a)

ÀÌ µÈ´Ù.

*** Âü°í¹®Çå[References] ***

Lmax = 2*(a*((b-2)/(2*a))^2 - (b-2)*(b-2)/(2*a) - b/a)
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