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M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
M6math2553
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  • 1. ÃËÑÊÇÔªÒ 04 ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 Êèǹ·Õ‹ 1 36 (¢éÍ 1–36) 1. ¢éÍ ãËé ẺÃкÒµÑÇàÅ×Í¡ ¢éÍÅÐ 1 A = {1, 2, 3, . . .} 1. A−B àÇÅÒ 11.30 - 13.30 ¹. áµèÅТéÍÁդӵͺ·Õ‹¶Ù¡µéͧ·Õ‹ÊØ´à¾Õ§¤ÓµÍºà´ÕÂÇ ¤Ðá¹¹ áÅÐ ÁÕÊÁÒªÔ¡ 5 B = {{1, 2}, {3, 4, 5}, 6, 7, 8, . . .} µÑÇ 2. ¨Ó¹Ç¹ÊÁÒªÔ¡¢Í§à¾ÒàÇÍÃì૵¢Í§ 3. ¨Ó¹Ç¹ÊÁÒªÔ¡¢Í§ 4. 2. A∩B B−A (A − B) ∪ (B − A) ¤×Í૵¢Í§¨Ó¹Ç¹¹Ñº·Õ‹ÁÕ¤èÒÁÒ¡¡ÇèÒ 1) A 2) ¼Å àËç´à»š¹¾×ªÁÕ´Í¡ àËç´à»š¹¾×ªªÑŒ¹ÊÙ§ ¢éÍÊÃØ»¢éÒ§µé¹ÊÁà˵ØÊÁ¼Å ¶éÒ A á·¹¢éͤÇÒÁã´ 1. ¾×ªªÑŒ¹ÊÙ§·Ø¡ª¹Ô´ÁÕ´Í¡ 2. ¾×ªªÑŒ¹ÊÙ§ºÒ§ª¹Ô´ÁÕ´Í¡ 3. ¾×ªÁÕ´Í¡·Ø¡ª¹Ô´à»š¹¾×ªªÑŒ¹ÊÙ§ 4. ¾×ªÁÕ´Í¡ºÒ§ª¹Ô´à»š¹¾×ªªÑŒ¹ÊÙ§ à·èҡѺ 4 ໚¹¨Ó¹Ç¹¤Ùè ¾Ô¨ÒóҡÒÃãËéà˵ؼŵèÍ仹Ռ à赯 2 5 ¢éÍã´à»š¹à·ç¨ ¨Ó¹Ç¹
  • 2. ÃËÑÊÇÔªÒ 04 ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 3. àÇÅÒ 11.30 - 13.30 ¹. ¾Ô¨ÒóҢéͤÇÒÁµèÍ仹Ռ ¡. ¨Ó¹Ç¹·Õ‹à»š¹·È¹ÔÂÁäÁèÃÙ騺ºÒ§¨Ó¹Ç¹à»š¹¨Ó¹Ç¹ÍµÃáÂÐ ¢. ¨Ó¹Ç¹·Õ‹à»š¹·È¹ÔÂÁäÁèÃÙ騺ºÒ§¨Ó¹Ç¹à»š¹¨Ó¹Ç¹µÃáÂÐ ¢éÍã´¶Ù¡µéͧ 1. ¢éÍ ¡. áÅТéÍ ¢. 2. ¢éÍ ¡. à·èҹь¹ 3. ¢éÍ ¢. à·èҹь¹ 4. 4. ¢éÍ ¡. áÅТéÍ ¢. ¼Ô´ ¡Ó˹´ãËé s, t, u áÅÐ v ໚¹¨Ó¹Ç¹¨ÃÔ§ «Ö‹§ s<t áÅÐ u<v ¾Ô¨ÒóҢéͤÇÒÁµèÍ仹Ռ ¡. s−u<t−v ¢. 3 s−v <t−u ¢éÍã´¶Ù¡µéͧ 1. ¢éÍ ¡. áÅТéÍ ¢. 2. ¢éÍ ¡. à·èҹь¹ 3. ¢éÍ ¢. à·èҹь¹ 4. ¢éÍ ¡. áÅТéÍ ¢. ¼Ô´
  • 3. 04 ÃËÑÊÇÔªÒ ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 5. ¼Åà©Å¢ͧÊÁ¡Òà 2|5 − x| = 1 àÇÅÒ 11.30 - 13.30 ¹. ÍÂÙè㹪èǧ㴠1. ¶éÒ (−10, −5) 2. (−6, −4) 3. 6. (−4, 5) 4. (−3, 6) 3 4 ໚¹¼Åà©ÅÂ˹֋§¢Í§ÊÁ¡Òà 4x2 + bx − 6 = 0 àÁ×‹Í b ໚¹¨Ó¹Ç¹¨ÃÔ§áÅéÇ ÍÕ¡¼Å à©ÅÂ˹֋§¢Í§ÊÁ¡ÒùՌÁÕ¤èҵç¡Ñº¢éÍã´ 1. −2 2. 3. 7. 1 2 − 4. 1 2 2 ¢éÍã´ÁÕ¤èÒµèÒ§¨Ò¡¢éÍÍ׋¹ 1. (−1)0 2. (−1)0.2 3. 8. 4 (−1)0.4 4. (−1)0.8 √ √ √ √ √ √ |4 3 − 5 2| − |3 5 − 5 2| + |4 3 − 3 5| 2 à·èҡѺ¢éÍã´ 1. 0 2. 180 3. 192 4. 200
  • 4. ÃËÑÊÇÔªÒ 04 ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 9. ¡Ó˹´ãËé a àÇÅÒ 11.30 - 13.30 ¹. ໚¹¨Ó¹Ç¹¨ÃÔ§ºÇ¡ áÅÐ n ໚¹¨Ó¹Ç¹¤ÙèºÇ¡ ¾Ô¨ÒóҢéͤÇÒÁµèÍ仹Ռ ¡. ¢. √ n √ n a n = |a| an = |a| ¢éÍã´¶Ù¡µéͧ 1. ¢éÍ ¡. áÅТéÍ ¢. 2. ¢éÍ ¡. à·èҹь¹ 3. ¢éÍ ¢. à·èҹь¹ 10. ¶éÒ 4. ¢éÍ ¡. áÅТéÍ ¢. ¼Ô´ f (x) = −x2 + x + 2 1. f (x) ≥ 0 àÁ×‹Í 5 áÅéÇ ¢éÍÊÃػ㴶١µéͧ −1 ≤ x ≤ 2 2. ¨Ø´Ç¡¡ÅѺ¢Í§¡ÃÒ¿¢Í§¿˜§¡ìªÑ¹ 3. ¿˜§¡ìªÑ¹ f ÁÕ¤èÒÊÙ§ÊØ´à·èҡѺ 2 4. ¿˜§¡ìªÑ¹ f ÁÕ¤èÒµ‹ÓÊØ´à·èҡѺ 2 f ÍÂÙè㹨µØÀÒ¤·Õ‹Êͧ
  • 5. ÃËÑÊÇÔªÒ 04 ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 àÇÅÒ 11.30 - 13.30 ¹. 11. ¤ÇÒÁÊÑÁ¾Ñ¹¸ìã¹¢éÍã´à»š¹¿˜§¡ìªÑ¹ 1. {(1, 2), (2, 3), (3, 1), (3, 3)} 3. {(1, 3), (1, 2), (1, 1), (1, 4)} 4. 12. ¶éÒ {(1, 2), (2, 3), (3, 2), (2, 4)} 2. {(1, 3), (2, 1), (3, 3), (4, 1)} f (x) = √ 3−x áÅÐ g(x) = −2 + |x − 4| 6 áÅéÇ Df ∪ Rg 1. (−∞, 3] 2. [−2, ∞) 3. [−2, 3] 4. (−∞, ∞) ¤×Í¢éÍã´
  • 6. ÃËÑÊÇÔªÒ 04 ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 13. ¡Ó˹´ãËé¡ÃÒ¿¢Í§¿˜§¡ìªÑ¹ àÇÅÒ 11.30 - 13.30 ¹. f ໚¹´Ñ§¹ÕŒ ß½¼ ß ¼ ß ¤èҢͧ 7 11f (−11) − 3f (−3)f (3) ¤×Í¢éÍã´ 1. 57 2. 68 3. 75 4. 86
  • 7. ÃËÑÊÇÔªÒ 04 ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 14. ÃÙ»ÊÒÁàËÅÕ‹ÂÁÁØÁ©Ò¡Ãٻ˹֋§ ©Ò¡´éҹ˹֋§ÂÒÇ໚¹ 75% 8 àÇÅÒ 11.30 - 13.30 ¹. Áվ׌¹·Õ‹ 600 µÒÃҧૹµÔàÁµÃ ¶éÒ´éÒ¹»ÃСͺÁØÁ ¢Í§´éÒ¹»ÃСͺÁØÁ©Ò¡ÍÕ¡´éҹ˹֋§áÅéÇ àÊé¹ÃͺÃÙ»ÊÒÁ àËÅÕ‹ÂÁÁØÁ©Ò¡ÃÙ»¹ÕŒ ÂÒǡՋૹµÔàÁµÃ 1. 3. 120 √ 60 2 2. 4. 40 √ 20 2 15. ¢ºÇ¹¾ÒàËôÃÙ»ÊÕ‹àËÅÕ‹ÂÁ¼×¹¼éÒ¢ºÇ¹Ë¹Ö‹§ »ÃСͺ´éǼÙéà´Ô¹à»š¹á¶Ç á¶ÇÅÐà·èÒæ ¡Ñ¹ (ÁÒ¡¡ÇèÒ 1 á¶Ç áÅÐá¶ÇÅÐÁÒ¡¡ÇèÒ 1 ¤¹) â´ÂÁÕ੾ÒмÙéÍÂÙèÃÔÁ´éÒ¹¹Í¡·ÑŒ§ÊÕ‹´éÒ¹¢Í§ ¢ºÇ¹à·èҹь¹ ·Õ‹ÊÇÁªØ´ÊÕá´§ «Ö‹§ÁÕ·ÑŒ§ËÁ´ ¾ÒàËô áÅÐ N 50 ¤¹ ¶éÒ x ¤×ͨӹǹá¶Ç¢Í§¢ºÇ¹ ¤×ͨӹǹ¤¹·Õ‹ÍÂÙèã¹¢ºÇ¹¾ÒàËôáÅéÇ ¢éÍã´¶Ù¡µéͧ 1. 31x − x2 = N 2. 29x − x2 = N 3. 27x − x2 = N 4. 25x − x2 = N
  • 8. ÃËÑÊÇÔªÒ 04 ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 16. ÃÙ»ÊÕ‹àËÅÕ‹ÂÁ¼×¹¼éÒÊͧÃÙ» 9 àÇÅÒ 11.30 - 13.30 ¹. ÁÕ¢¹Ò´à·èҡѹ â´ÂÁÕàÊé¹·á§ÁØÁÂÒÇ໚¹Êͧà·èҢͧ´éÒ¹ ¡ÇéÒ§ ¶éÒ¹ÓÃÙ»ÊÕ‹àËÅÕ‹ÂÁ¼×¹¼éÒ·ÑŒ§ÊͧÁÒÇÒ§µè͡ѹ´Ñ§ÃÙ» ¨Ø´ A áÅШش B ÍÂÙèËèÒ§¡Ñ¹à»š¹ ÃÐÂСՋà·èҢͧ´éÒ¹¡ÇéÒ§ 1. 3. 1.5 √ 2 2. 4. 3 √ 2 2 17. â´Â¡ÒÃãªéµÒÃÒ§ËÒÍѵÃÒÊèǹµÃÕ⡳ÁԵԢͧÁØÁ¢¹Ò´µèÒ§æ ·Õ‹¡Ó˹´ãËéµèÍ仹Ռ θ sin θ cos θ 72◦ 0.951 0.309 73◦ 0.956 0.292 74◦ 0.961 0.276 75◦ 0.966 0.259 ÁØÁÀÒÂã¹·Õ‹ÁÕ¢¹Ò´àÅç¡·Õ‹ÊØ´¢Í§ÃÙ»ÊÒÁàËÅÕ‹ÂÁ·Õ‹ÁÕ´éÒ¹·ÑŒ§ÊÒÁÂÒÇ ÁÕ¢¹Ò´ã¡Åéà¤Õ§¡Ñº¢éÍã´ÁÒ¡·Õ‹ÊØ´ 1. 15◦ 2. 16◦ 3. 17◦ 4. 18◦ 7, 24 áÅÐ 25 ˹èÇÂ
  • 9. 04 ÃËÑÊÇÔªÒ ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 àÇÅÒ 11.30 - 13.30 ¹. 18. ÁØÁÁØÁ˹֋§¢Í§ÃÙ»ÊÒÁàËÅÕ‹ÂÁÁØÁ©Ò¡ÁÕ¢¹Ò´à·èҡѺ ÊÒÁàËÅÕ‹ÂÁ¹ÕŒÂÒÇ 1. 2. 3. 4. 2− √ 3 3− √ 3 60 ͧÈÒ ¶éÒàÊé¹ÃͺÃÙ»¢Í§ÃÙ» ¿ØµáÅéÇ ´éÒ¹·Õ‹ÂÒÇ໚¹Íѹ´ÑºÊͧÁÕ¤ÇÒÁÂÒÇà·èҡѺ¢éÍã´ ¿Øµ √ 2 + 3 ¿Øµ √ 2 3 − 3 ¿Øµ √ 2 3 + 3 ¿Øµ 19. ¡Åéͧǧ¨Ã»´«Ö‹§¶Ù¡µÔ´µÑŒ§ÍÂÙèÊÙ§¨Ò¡¾×Œ¹¶¹¹ ¡éÁ 10 45◦ 2 àÁµÃ ÊÒÁÒö¨ÑºÀÒ¾ä´éµ‹Ó·Õ‹ÊØ´·Õ‹ÁØÁ 30◦ ÃÐÂзҧº¹¾×Œ¹¶¹¹ã¹á¹Ç¡Åéͧ √ (¡Ó˹´ãËé 3 ≈ 1.73) áÅÐÊÙ§·Õ‹ÊØ´·Õ‹ÁØÁ¡éÁ ¨ÑºÀÒ¾ä´é¤×Íà·èÒã´ 1. 1.00 àÁµÃ 2. 1.46 àÁµÃ 3. 2.00 àÁµÃ 4. 3.46 ·Õ‹¡Åéͧ¹ÕŒÊÒÁÒö àÁµÃ 20. ¡Ó˹´ãËé 3 1 , 1, , . . . 2 2 ໚¹ÅӴѺàÅ¢¤³Ôµ ¼ÅºÇ¡¢Í§¾¨¹ì·Õ‹ ¢éÍã´ 1. −18 2. −19 3. −37 4. −38 40 áÅо¨¹ì·Õ‹ 42 à·èҡѺ
  • 10. 04 ÃËÑÊÇÔªÒ ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 21. ã¹ 40 ¾¨¹ìáá¢Í§ÅӴѺ an = 3 + (−1)n àÇÅÒ 11.30 - 13.30 ¹. ÁÕ¡Õ‹¾¨¹ì ·Õ‹ÁÕ¤èÒà·èҡѺ¾¨¹ì·Õ‹ 1. 10 2. 30 4. 40 20 3. 40 22. ¡Ó˹´ãËé ¢Í§ 11 10 a1 , a2 , a3 , . . . ໚¹ÅӴѺàâҤ³Ôµ ¶éÒ a2 = 8 áÅÐ a5 = −64 áÅéÇ ¼ÅºÇ¡ ¾¨¹ìáá¢Í§ÅӴѺ¹ÕŒà·èҡѺ¢éÍã´ 1. 2, 048 2. 1, 512 3. 1, 364 4. 1, 024 23. ·ÒÊÕàËÃÕ­ÊÒÁÍѹ´Ñ§¹ÕŒ àËÃÕ­áá´éҹ˹֋§·ÒÊÕ¢ÒÇ ÍÕ¡´éҹ˹֋§·ÒÊÕá´§ àËÃÕ­·Õ‹ Êͧ´éҹ˹֋§·ÒÊÕá´§ ÍÕ¡´éҹ˹֋§·ÒÊÕ¿‡Ò àËÃÕ­·Õ‹ÊÒÁ´éҹ˹֋§·ÒÊÕ¿‡Ò ÍÕ¡´éҹ˹֋§ ·ÒÊÕ¢ÒÇ â¹àËÃÕ­·ÑŒ§ÊÒÁ¢ÖŒ¹¾ÃéÍÁ¡Ñ¹ ¤ÇÒÁ¹èÒ¨Ð໚¹·Õ‹àËÃÕ­¨Ð¢ÖŒ¹Ë¹éÒµèÒ§Êաѹ ·ÑŒ§ËÁ´à»š¹´Ñ§¢éÍã´ 1. 3. 1 2 1 8 2. 4. 1 4 1 16
  • 11. ÃËÑÊÇÔªÒ 04 ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 12 àÇÅÒ 11.30 - 13.30 ¹. 24. ¡ÅèͧãºË¹Ö‹§ºÃèØÊÅÒ¡ËÁÒÂàÅ¢ 1–10 ËÁÒÂàÅ¢ÅÐ 1 㺠¶éÒÊØèÁËÂÔºÊÅÒ¡¨Ó¹Ç¹Êͧ 㺠â´ÂËÂÔº·ÕÅÐãºáººäÁèãÊè¤×¹ ¤ÇÒÁ¹èÒ¨Ð໚¹·Õ‹¨ÐËÂÔºä´éÊÅÒ¡ËÁÒÂàÅ¢µ‹Ó¡ÇèÒ 5 à¾Õ§˹֋§ãºà·èҹь¹ à·èҡѺ¢éÍã´ 1. 3. 2 9 2 35 2. 4. 8 15 11 156 25. 㹡ÒÃÇÑ´ÊèǹÊÙ§¹Ñ¡àÃÕ¹áµèÅФ¹ã¹ªÑŒ¹ ¾ºÇèҹѡàÃÕ¹·Õ‹ÊÙ§·Õ‹ÊØ´ÊÙ§ áÅйѡàÃÕ¹·Õ‹àµÕŒÂ·Õ‹ÊØ´ÊÙ§ S = {H | H 145 ૹµÔàÁµÃ ¾Ô¨ÒóÒ૵¢Í§ÊèǹÊÙ§µèÍ仹Ռ ໚¹ÊèǹÊÙ§ã¹Ë¹èÇÂૹµÔàÁµÃ¢Í§¹Ñ¡àÃÕ¹㹪ь¹} T = { H | 145 ≤ H ≤ 177 } ૵㴶×Í໚¹»ÃÔÀÙÁÔµÑÇÍÂèÒ§ 1. S áÅÐ 2. S T (á«ÁແÅÊ໫) à·èҹь¹ 3. à·èҹь¹ 4. ·ÑŒ§ S T áÅÐ T 177 äÁè໚¹»ÃÔÀÙÁÔµÑÇÍÂèÒ§ ÊÓËÃѺ¡Ò÷´ÅͧÊØèÁ¹ÕŒ ૹµÔàÁµÃ
  • 12. ÃËÑÊÇÔªÒ 04 ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 àÇÅÒ 11.30 - 13.30 ¹. 26. 㹡ÒÃàÅ×Í¡¤³Ð¡ÃÃÁ¡Òêش˹֋§ àŢҹءÒÃÍÂèÒ§ÅÐ 13 «Ö‹§»ÃСͺ´éÇ »Ãиҹ Ãͧ»Ãиҹ áÅÐ 1 ¤¹ ¨Ò¡Ë­Ô§ 6 ¤¹ áÅЪÒ 4 ¤¹ ¤ÇÒÁ¹èÒ¨Ð໚¹·Õ‹¤³Ð¡ÃÃÁ¡Òà ªØ´¹ÕŒ ¨ÐÁÕ»ÃиҹáÅÐÃͧ»Ãиҹ໚¹Ë­Ô§à·èҡѺ¢éÍã´ 1. 3. 1 18 1 9 2. 4. 27. ¤ÃÙÊ͹ÇÔ·ÂÒÈÒʵÃìÁͺËÁÒÂãËé¹Ñ¡àÃÕ¹ 1 12 1 3 40 ¤¹ ·Óâ¤Ã§§Ò¹µÒÁ¤ÇÒÁʹ㨠ËÅѧ¨Ò¡ µÃǨÃÒ§ҹâ¤Ã§§Ò¹¢Í§·Ø¡¤¹áÅéÇ ¼ÅÊÃػ໚¹´Ñ§¹ÕŒ ¼Å¡ÒûÃÐàÁÔ¹ ¨Ó¹Ç¹â¤Ã§§Ò¹ ´ÕàÂÕ‹ÂÁ 3 ´Õ 20 ¾Íãªé 12 µéͧá¡éä¢ 5 ¢éÍÁÙÅ·Õ‹à¡çºÃǺÃÇÁ à¾×‹ÍãËéä´é¼ÅÊÃØ»¢éÒ§µé¹à»š¹¢éÍÁÙŪ¹Ô´ã´ 1. ¢éÍÁÙÅ»°ÁÀÙÁÔ àªÔ§»ÃÔÁÒ³ 2. ¢éÍÁÙŷصÔÂÀÙÁÔ àªÔ§»ÃÔÁÒ³ 3. ¢éÍÁÙÅ»°ÁÀÙÁÔ àªÔ§¤Ø³ÀÒ¾ 4. ¢éÍÁÙŷصÔÂÀÙÁÔ àªÔ§¤Ø³ÀÒ¾
  • 13. 04 ÃËÑÊÇÔªÒ ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 àÇÅÒ 11.30 - 13.30 ¹. 28. ¤èÒà©ÅÕ‹ÂàÅ¢¤³Ôµ¢Í§¹ŒÓ˹ѡ¢Í§¾¹Ñ¡§Ò¹¢Í§ºÃÔÉѷ˹֋§ à·èҡѺ ¹ÕŒÁÕ¾¹Ñ¡§Ò¹ªÒ 43 ¾¹Ñ¡§Ò¹Ë­Ô§à·èҡѺ ¤¹ áÅо¹Ñ¡§Ò¹Ë­Ô§ 45 ¢éÍã´ 1. 2, 236 ¡ÔâÅ¡ÃÑÁ 2. 2, 279 ¡ÔâÅ¡ÃÑÁ 3. 2, 322 ¡ÔâÅ¡ÃÑÁ 4. 2, 365 ¡ÔâÅ¡ÃÑÁ 14 57 48.01 ¡ÔâÅ¡ÃÑÁ ºÃÔÉÑ· ¤¹ ¶éÒ¤èÒà©ÅÕ‹ÂàÅ¢¤³Ôµ¢Í§¹ŒÓ˹ѡ ¡ÔâÅ¡ÃÑÁ áÅéÇ ¹ŒÓ˹ѡ¢Í§¾¹Ñ¡§Ò¹ªÒ·ь§ËÁ´ÃÇÁ¡Ñ¹à·èҡѺ
  • 14. ÃËÑÊÇÔªÒ 04 ¤³ÔµÈÒʵÃì ˹éÒ ÇѹàÊÒÃì·Õ‹ 20 ¡ØÁÀҾѹ¸ì 2553 15 àÇÅÒ 11.30 - 13.30 ¹. 29. á¼¹ÀÒ¾µé¹-㺢ͧ¹ŒÓ˹ѡã¹Ë¹èÇ¡ÃÑÁ¢Í§ä¢èä¡è 5 7 8 9 7 0 4 4 ¿Í§ ໚¹´Ñ§¹ÕŒ 8 6 7 10 7 8 1 ¢éÍÊÃØ»ã´à»š¹à·ç¨ 1. °Ò¹¹ÔÂÁ¢Í§¹ŒÓ˹ѡ¢Í§ä¢èä¡èÁÕà¾Õ§¤èÒà´ÕÂÇ 2. ¤èÒà©ÅÕ‹ÂàÅ¢¤³ÔµáÅÐÁѸ°ҹ¢Í§¹ŒÓ˹ѡ¢Í§ä¢èä¡èÁÕ¤èÒà·èҡѹ 3. ÁÕä¢èä¡è 5 ¿Í§·Õ‹ÁÕ¹ŒÓ˹ѡ¹éÍ¡ÇèÒ 70 ¡ÃÑÁ 4. ä¢èä¡è·Õ‹ÁÕ¹ŒÓ˹ѡÊÙ§¡ÇèÒ°Ò¹¹ÔÂÁ ÁըӹǹÁÒ¡¡ÇèÒ ä¢èä¡è·Õ‹ÁÕ¹ŒÓ˹ѡà·èҡѺ°Ò¹ ¹ÔÂÁ
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