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#1
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¢éÍÊͺ ʾ° ÃдѺÁѸÂÁ »Õ 2567
¡Ó˹´ãËé $x$ áÅÐ $y$ à»ç¹¨Ó¹Ç¹àµçÁ·ÕèÊÍ´¤Åéͧ¡ÑºÊÁ¡Òà $(y-2)x^2+(y^2-6y+8)x=y^2-5y+62$
¨ÐÁÕ $(x,y)$ ·Õèà»ç¹ä»ä´é·Ñé§ËÁ´¡Õè¤ÙèÍѹ´Ñº ⨷ÂìẺ¹Õé¼ÁäÁèà¢éÒã¨ÇèÒ¼ÙéÍÍ¡¢éÍÊͺµéͧ¡ÒÃÇÑ´ÍÐäà ÁÕ¢éÍá¹Ð¹ÓäËÁ¤ÃѺ ¢éÍÊͺ»Õ 2565 ¡Ó˹´ãËé $x$ áÅÐ $y$ à»ç¹¨Ó¹ÇàµçÁºÇ¡ ¨Ó¹Ç¹¤ÙèÍѹ´Ñº $(x,y)$ «Öè§ÊÍ´¤Åéͧ¡ÑºÊÁ¡Òà $x^2+y^2=(6^2+7^2)(8^2+9^2)$ à·èҡѺà·èÒã´ 29 ÁÕ¹Ò¤Á 2024 01:25 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ lek2554 à˵ؼÅ: à¾ÔèÁ¢éͤÇÒÁ |
#2
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ÍéÒ§ÍÔ§:
â´ÂµÍ¹ááÊѧࡵÇèÒ´éÒ¹«éÒÂÁ×ÍÊÁ¡ÒèÐÁÕ $y - 2$ à»ç¹µÑÇÃèÇÁ áÅШÐàËç¹ÍÕ¡ÇèÒ ¶éÒãËé $A = x-1, B=y-2$ ¨Ðä´é AB(A+B) = 56 = (1)(1)(56) =(1)(2)(28) =(1)(4)(14) =(1)(7)(8) =(2)(2)(14) =(2)(4)(7) Íѹ¹ÕéÂѧäÁèÃÇÁµÑÇ·ÕèᡵÑÇ»ÃСͺáÅéÇÁըӹǹź¹Ð¤ÃѺ ¨ÐàËç¹ÇèҪش·Õèà»ç¹ä»ä´é¤ÃéèÒÇ æ ¤×Í (1)(7)(8) ¤×Í AB(A+B) (1)(7)(8) (7)(1)(8) (1)(-8)(-7) (-8)(1)(-7) (-8)(7)(-1) (7)(-8)(-1) ÁÕ 6 ªØ´ ´Ñ§¹Ñé¹ (x, y) ¡çÁÕ 6 ªØ´ àªè¹¡Ñ¹ ¢é͹Õé¹èÒ¨ÐÇÑ´àÃ×èͧ¡ÒÃᡵÑÇ»ÃСͺà»ç¹ËÅÑ¡ áµèäÁè¹èÒ¨ÐàËÁÒÐà»ç¹¢éÍÊͺÃͺáá à¾ÃÒФԴ¹Ò¹ |
#3
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ÍéÒ§ÍÔ§:
$(a^2+b^2)(c^2+d^2) = (ac + bd)^2 + (ad-bc)^2$ áµèÍÂèÒÅ×ÁÊÅѺ¤ÃѺ à¾ÃÒШйѺäÁè¤Ãº àªè¹ $36 + 49 = 85 = 2^2+ 9^2 = 6^2 + 7^2$ àÇÅÒá·¹¤èÒ àªè¹ $(2^2+ 9^2)(6^2 + 7^2)$ ËÃ×Í $(2^2+ 9^2)(7^2 + 6^2)$ »ÃÐÁÒ³¹Õé¤ÃѺ |
#4
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¢Íº¤Øس ¤Ø³¡Ã ¤ÃѺ ·Õèªèǵͺ»ÑËÒ
µÑǼÁàͧ¤Ô´äÁèä´éÍÂèÒ§·Õè¤Ø³¡ÃáÊ´§ãËé´Ù¤ÃѺ ¾ÂÒÂÒÁ¤Ô´áÅéǤÃѺ ·Õè¼ÁµÑé§ËÑÇ¢é͹Õé à¾×èÍÍÂÒ¡Ê×èÍÇèÒ ¢éÍÊͺẺ¹Õé äÁè¹èÒ¨ÐàËÁÒÐÊÁ㹡ÒùÓÁÒãªé㹡ÒäѴàÅ×Í¡ ¹Ñ¡àÃÕ¹·Õè¨Ð·Ó¢éÍÊͺẺ¹Õéä´éµÃ§µÒÁ¨Ø´»ÃÐʧ¤ì㹡ÒÃÇÑ´¢Í§¼ÙéÍÍ¡¢éÍÊͺ µéͧà»ç¹¹Ñ¡àÃÕ¹·Õè¼èÒ¹¡Ãкǹ¡ÒÃÍÐäõèÒ§æ ÁÒàÂÍÐÁÒ¡ à»ç¹¤ÇÒÁàËÅ×èÍÁÅéÓ·Ò§¡ÒÃÈÖ¡ÉÒ ¹Ñ¡àÃÕ¹·ÕèäÁèÁÕâÍ¡ÒÊÊÑÁ¼ÑÊ ¨ÐäÁèä´éÃѺ¡ÒäѴàÅ×Í¡ ·Ñé§æ ·Õè ¶éÒàÍҹѡàÃÕ¹ 2 ¡ÅØèÁ¹Õé ÁÒÇÑ´¤ÇÒÁÊÒÁÒö¡Ñ¹¨ÃÔ§æ ¹Ñ¡àÃÕ¹·Õè´éÍÂâÍ¡ÒÊ ÁÕ¤ÇÒÁÊÒÁÒöÁÒ¡¡ÇèҹѡàÃÕ¹·Õèä´éÃѺ¡Òý֡½¹ÁÒÂÒǹҹ 06 àÁÉÒ¹ 2024 00:59 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 2 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ lek2554 à˵ؼÅ: á¡é¤Ó¼Ô´ |
#5
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ÊÁѼÁàÃÕ¹ ŧ·ÐàºÕ¹ãªéºÑµÃ fortran
ÇÔªÒ lecture 50 ºÒ· ÇÔªÒ lab 100 ºÒ· ¤èÒà·ÍÁ»ÃÐÁÒ³ 1,200 ºÒ· »Ñ¨¨ØºÑ¹ ¤èÒà·ÍÁà¡Ô¹ 2000% ¢Í§ÊÁѼÁ ¤èÒ¤ÃͧªÕ¾¼Ù黡¤ÃͧµÒÁäÁè·Ñ¹ ¹Ñ¡àÃÕ¹¢Ò´âÍ¡ÒÊ㹡ÒÃàÃÕ¹µèÍã¹ÁËÒÇÔ·ÂÒÅÑ ·Ñé§æ ·ÕèÊÁÑ¡è͹ ¤¹¨¹¤¹ÃÇ¡çÁÕÊÔ·¸ÔìàÃÕ¹ áµè»Ñ¨¨ØºÑ¹¹Õé ÂÒ¡ÁÒ¡·ÕèÅÙ¡¤¹¨¹¨Ðä´éàÃÕ¹ÁËÒÇÔ·ÂÒÅÑ ÍÂÒ¡àÃÕ¹µéͧ¡Ùé ¡ÂÈ ·Ñé§æ ·Õè ÊÁÑ¡è͹ äÁèµéͧ¡Ùé ¼Ù黡¤Ãͧ¡çÊè§ãËéàÃÕ¹ä´é ¢Íâ·É¤ÃѺ ·Õèãªé¡ÃзÙé¹Í¡àÃ×èͧ»ÑËÒ¤³ÔµÈÒʵÃì |
#6
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ÍéÒ§ÍÔ§:
áµè¶éÒ¤ÇÒÁàËç¹¼Á¡çÇÑ´àÃ×èͧ¡ÒÃᡵÑÇ»ÃСͺ¤ÃѺ «Öè§â¨·Âìá¹Ç¹Õé¡çÁÑ¡àËç¹ã¹¢éÍÊͺ ʾ° ÍÂÙè¹Ð¤ÃѺ áµè¶éÒ¶ÒÁÇèÒÂÒ¡ä»äËÁ ¡çµéͧµÍºÇèÒÂÒ¡ÊÓËÃѺà´ç¡·ÑèÇ令ÃѺ |
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