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2014.05.24 02:15
´Ù¿î·Îµå #1 :
¼öÇÐ14.05.24.hwp
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(1) ±³Àç¸í :
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ÇհݱîÁö ÇÔ²² ÇÏ°Ú½À´Ï´Ù. ¾È³çÇϼ¼¿ä, ÃÖÀ̳ª´Ô. ÇØÄ¿½º °ø¹«¿øÀÔ´Ï´Ù.
ÃÖÀ̳ª ´Ô²²¼ ¹®ÀÇÁֽŠ»çÇ×À» ´ã´ç ºÎ¼¿¡ Àü´ÞÇÏ¿©, ºü¸¥ ½ÃÀÏ ³»¿¡ ´äº¯ µå¸± ¼ö ÀÖµµ·Ï ÇÏ°Ú½À´Ï´Ù.
¾ÕÀ¸·Îµµ ÇØÄ¿½º °ø¹«¿ø¿¡ ¸¹Àº °ü½É°ú ¾ÖÁ¤ ºÎŹµå¸®¸ç, ÇØÄ¿½º °¡Á·À» À§ÇØ ´Ã ÃÖ¼±À» ´ÙÇÏ°í ÃÖ°íÀÇ °ÀÇ¿Í ¼ºñ½º¸¦ Á¦°øÇÒ ¼ö ÀÖµµ·Ï Ç×»ó ³ë·ÂÇÏ°Ú½À´Ï´Ù.
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2014/05/24
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ÇհݱîÁö ÇÔ²² ÇÏ°Ú½À´Ï´Ù. ¾È³çÇϼ¼¿ä, ÃÖÀ̳ª´Ô. ÇØÄ¿½º °ø¹«¿øÀÔ´Ï´Ù. ÃÖÀ̳ª ´Ô²²¼ ¹®ÀÇÁֽŠ»çÇ×À» ´ã´ç ºÎ¼¿¡ Àü´ÞÇÏ¿©, ºü¸¥ ½ÃÀÏ ³»¿¡ ´äº¯ µå¸± ¼ö ÀÖµµ·Ï ÇÏ°Ú½À´Ï´Ù. ¾ÕÀ¸·Îµµ ÇØÄ¿½º °ø¹«¿ø¿¡ ¸¹Àº °ü½É°ú ¾ÖÁ¤ ºÎŹµå¸®¸ç, ÇØÄ¿½º °¡Á·À» À§ÇØ ´Ã ÃÖ¼±À» ´ÙÇÏ°í ÃÖ°íÀÇ °ÀÇ¿Í ¼ºñ½º¸¦ Á¦°øÇÒ ¼ö ÀÖµµ·Ï Ç×»ó ³ë·ÂÇÏ°Ú½À´Ï´Ù. °¨»çÇÕ´Ï´Ù.
ÇհݱîÁö ÇÔ²² ÇÏ°Ú½À´Ï´Ù. ¾È³çÇϼ¼¿ä, ÃÖÀ̳ª´Ô. ÇØÄ¿½º °ø¹«¿øÀÔ´Ï´Ù.
ÃÖÀ̳ª´Ô²²¼ ¹®ÀÇÁֽŠ»çÇ× ´äº¯µå¸³´Ï´Ù.
1. ³×, (x-1)L(x)°¡ ¸Â½À´Ï´Ù. ¿ÀŸÁ¤Á¤³ëÆ®¿¡ ¹Ý¿µÇϵµ·Ï ÇÏ°Ú½À´Ï´Ù.
2. g(x)¶ó´Â ÇϳªÀÇ ½ÄÀ¸·Î °£´ÜÈ÷ Ç¥ÇöÇϱâ À§ÇÔÀÔ´Ï´Ù. g(1)=0, g(2)=0, g(3)=0, g(4)=0À̹ǷΠg(x)´Â 1, 2, 3, 4¸¦ ±ÙÀ¸·Î °¡Áý´Ï´Ù. µû¶ó¼ g(x)=a(x-1)(x-2)(x-3)(x-4)°¡ µË´Ï´Ù.
[´Ù¸¥ Ç®ÀÌ]
x¿¡ ´ëÇÑ »ïÂ÷´ÙÇ×½Ä f(x)ÀÇ ÀϹݽÄÀº
f(x)=ax³+bx²+cx+d
x¿¡ 1, 2, 3, 4¸¦ Â÷·Ê·Î ´ëÀÔÇϸé
f(1)=a+b+c+d=1/2 ……㉠
f(2)=8a+4b+2c+d=1/3 ……㉡
f(3)=27a+9b+3c+d=1/4 ……㉢
f(4)=64a+16b+4c+d=1/5 ……㉣
㉠, ㉡, ㉢, ㉣À» ¿¬¸³ÇÏ¿© Ç®¸é
a=-1/120, b=11/120, c=-23/60, d=4/5
µû¶ó¼ f(x)=-1/120x³+11/120x²-23/60x+4/5À̹ǷÎ
f(0)=4/5
3. 1=√1Àº ¸Â½À´Ï´Ù¸¸, √3+√1Àº ´õ ÀÌ»ó °è»êÇÒ ¼ö ¾ø´Â Á¡ ¾È³»µå¸³´Ï´Ù.
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2014/05/27
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ÇØÄ¿½º °ø¹«¿ø
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ÇհݱîÁö ÇÔ²² ÇÏ°Ú½À´Ï´Ù. ¾È³çÇϼ¼¿ä, ÃÖÀ̳ª´Ô. ÇØÄ¿½º °ø¹«¿øÀÔ´Ï´Ù. ÃÖÀ̳ª´Ô²²¼ ¹®ÀÇÁֽŠ»çÇ× ´äº¯µå¸³´Ï´Ù. 1. ³×, (x-1)L(x)°¡ ¸Â½À´Ï´Ù. ¿ÀŸÁ¤Á¤³ëÆ®¿¡ ¹Ý¿µÇϵµ·Ï ÇÏ°Ú½À´Ï´Ù. 2. g(x)¶ó´Â ÇϳªÀÇ ½ÄÀ¸·Î °£´ÜÈ÷ Ç¥ÇöÇϱâ À§ÇÔÀÔ´Ï´Ù. g(1)=0, g(2)=0, g(3)=0, g(4)=0À̹ǷΠg(x)´Â 1, 2, 3, 4¸¦ ±ÙÀ¸·Î °¡Áý´Ï´Ù. µû¶ó¼ g(x)=a(x-1)(x-2)(x-3)(x-4)°¡ µË´Ï´Ù. [´Ù¸¥ Ç®ÀÌ] x¿¡ ´ëÇÑ »ïÂ÷´ÙÇ×½Ä f(x)ÀÇ ÀϹݽÄÀº f(x)=ax³+bx²+cx+d x¿¡ 1, 2, 3, 4¸¦ Â÷·Ê·Î ´ëÀÔÇϸé f(1)=a+b+c+d=1/2 ……㉠ f(2)=8a+4b+2c+d=1/3 ……㉡ f(3)=27a+9b+3c+d=1/4 ……㉢ f(4)=64a+16b+4c+d=1/5 ……㉣ ㉠, ㉡, ㉢, ㉣À» ¿¬¸³ÇÏ¿© Ç®¸é a=-1/120, b=11/120, c=-23/60, d=4/5 µû¶ó¼ f(x)=-1/120x³+11/120x²-23/60x+4/5À̹ǷΠf(0)=4/5 3. 1=√1Àº ¸Â½À´Ï´Ù¸¸, √3+√1Àº ´õ ÀÌ»ó °è»êÇÒ ¼ö ¾ø´Â Á¡ ¾È³»µå¸³´Ï´Ù. °¨»çÇÕ´Ï´Ù.
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