Mathcenter Forum  

Go Back   Mathcenter Forum > ¤³ÔµÈÒʵÃìÁѸÂÁÈÖ¡ÉÒ > »Ñ­ËÒ¤³ÔµÈÒʵÃì Á.»ÅÒÂ
ÊÁѤÃÊÁÒªÔ¡ ¤ÙèÁ×Í¡ÒÃãªé ÃÒª×èÍÊÁÒªÔ¡ »¯Ô·Ô¹ ¢éͤÇÒÁÇѹ¹Õé

µÑé§ËÑÇ¢éÍãËÁè Reply
 
à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ ¤é¹ËÒã¹ËÑÇ¢é͹Õé
  #1  
Old 17 ¡ØÁÀҾѹ¸ì 2009, 18:06
àÅÔ¿ààµÁ»ì àÅÔ¿ààµÁ»ì äÁèÍÂÙèã¹Ãкº
ÊÁÒªÔ¡ãËÁè
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 17 ¡ØÁÀҾѹ¸ì 2009
¢éͤÇÒÁ: 9
àÅÔ¿ààµÁ»ì is on a distinguished road
Default µÃÕ⡳

àÍèÍæ ¤×ͼÁÍÂÒ¡ÃÙéÇèÒ ¡ÒÃ+ µÃÕ⡳ +Âѧä§ÍéФÃѺ
ex1. sin30+cos30+tan30 ÍÂÒ¡ÃÙéÍéФÃѺ +äÁè໹ (ÍÂÙèÁ.3)
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #2  
Old 17 ¡ØÁÀҾѹ¸ì 2009, 18:08
àÅÔ¿ààµÁ»ì àÅÔ¿ààµÁ»ì äÁèÍÂÙèã¹Ãкº
ÊÁÒªÔ¡ãËÁè
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 17 ¡ØÁÀҾѹ¸ì 2009
¢éͤÇÒÁ: 9
àÅÔ¿ààµÁ»ì is on a distinguished road
Default

ã¤Ã ¤Ô´ÇèÒ à·¾ µÃÕ⡳ à຺ÇèÒà«Õ¹¨Ô§ ¢Í m ÁÒààÍ´
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #3  
Old 17 ¡ØÁÀҾѹ¸ì 2009, 18:10
Scylla_Shadow's Avatar
Scylla_Shadow Scylla_Shadow äÁèÍÂÙèã¹Ãкº
ÅÁ»ÃÒ³äÃéÊÀÒ¾
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 10 ¡ØÁÀҾѹ¸ì 2009
¢éͤÇÒÁ: 1,151
Scylla_Shadow is on a distinguished road
Default

¡çàÃÒá·¹¤èÒ sin30 , cos30 , tan30 ŧ令ÃѺ

ä´é¤èÒ¤×Í $\frac{1}{2}+\frac{\sqrt{3}}{2}+\frac{1}{\sqrt{3}}$
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #4  
Old 17 ¡ØÁÀҾѹ¸ì 2009, 18:11
Ne[S]zA's Avatar
Ne[S]zA Ne[S]zA äÁèÍÂÙèã¹Ãкº
ÅÁ»ÃÒ³äÃéÊÀÒ¾
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 13 ¡Ã¡®Ò¤Á 2008
¢éͤÇÒÁ: 1,221
Ne[S]zA is on a distinguished road
Default

¡çá·¹¤èÒÊÔ¤ÃѺ
$sin30=\frac{1}{2}$
$cos30=\frac{\sqrt{3}}{2}$
$tan30=\frac{1}{\sqrt{3}}$
so $sin30+cos30+tan30=\frac{1}{2}+\frac{\sqrt{3}}{2}+\frac{1}{\sqrt{3}}$
__________________
||!<<<<iNesZaii>>>>!||

17 ¡ØÁÀҾѹ¸ì 2009 18:11 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Ne[S]zA
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #5  
Old 17 ¡ØÁÀҾѹ¸ì 2009, 19:45
SiR ZigZag NeaRton's Avatar
SiR ZigZag NeaRton SiR ZigZag NeaRton äÁèÍÂÙèã¹Ãкº
ºÑ³±Ôµ¿éÒ
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 23 ¸Ñ¹ÇÒ¤Á 2008
¢éͤÇÒÁ: 347
SiR ZigZag NeaRton is on a distinguished road
Default

µÍº $\frac{5\sqrt{3}+3 }{6}$ ãªè»èФÃѺ
(¶ÒÁà¼×èͤԴàÅ¢¼Ô´)
__________________
¤Ø³ÍÒ¨¨Ð¤é¹¾ºÊØ´»ÅÒ¨ѡÃÇÒÅ
áµè¤Ø³ÂѧäÁè¤é¹¾º 3 cm.·Õè˹éÒÍ¡´éÒ¹«éÒÂã¹µÑǤسàÅÂ

17 ¡ØÁÀҾѹ¸ì 2009 19:46 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ SiR ZigZag NeaRton
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #6  
Old 17 ¡ØÁÀҾѹ¸ì 2009, 20:17
Ne[S]zA's Avatar
Ne[S]zA Ne[S]zA äÁèÍÂÙèã¹Ãкº
ÅÁ»ÃÒ³äÃéÊÀÒ¾
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 13 ¡Ã¡®Ò¤Á 2008
¢éͤÇÒÁ: 1,221
Ne[S]zA is on a distinguished road
Default

ÍéÒ§ÍÔ§:
¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ SiR ZigZag NeaRton View Post
µÍº $\frac{5\sqrt{3}+3 }{6}$ ãªè»èФÃѺ
(¶ÒÁà¼×èͤԴàÅ¢¼Ô´)
¶Ù¡ÅФÃѺ
__________________
||!<<<<iNesZaii>>>>!||
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #7  
Old 17 ¡ØÁÀҾѹ¸ì 2009, 20:30
[SIL]'s Avatar
[SIL] [SIL] äÁèÍÂÙèã¹Ãкº
¡ÃкÕèäÃéÊÀÒ¾
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 12 ¡Ã¡®Ò¤Á 2008
¢éͤÇÒÁ: 1,520
[SIL] is on a distinguished road
Default

ÃÙéÊÖ¡¨Ð¼Ô´ËÁ´¹Ð¤ÃѺ
$sin30 \not= sin30^ð$

17 ¡ØÁÀҾѹ¸ì 2009 20:31 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ [SIL]
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #8  
Old 17 ¡ØÁÀҾѹ¸ì 2009, 21:16
Ne[S]zA's Avatar
Ne[S]zA Ne[S]zA äÁèÍÂÙèã¹Ãкº
ÅÁ»ÃÒ³äÃéÊÀÒ¾
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 13 ¡Ã¡®Ò¤Á 2008
¢éͤÇÒÁ: 1,221
Ne[S]zA is on a distinguished road
Default

àÍèÍ....¤§äÁèä´éãÊèͧÈÒŧä»ÍèФÃѺ â·É·Õ¤ÃѺ
__________________
||!<<<<iNesZaii>>>>!||
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #9  
Old 04 ÁÕ¹Ò¤Á 2009, 09:54
flossy's Avatar
flossy flossy äÁèÍÂÙèã¹Ãкº
¨ÍÁÂØ·¸ì˹éÒãËÁè
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 16 ÁԶعÒ¹ 2008
¢éͤÇÒÁ: 82
flossy is on a distinguished road
Default

¶éÒ¹éͧ¨ÓäÁèä´éÇèÒ¤èÒà·èÒäËÃè ŧÁ×ÍËÑ¡¹ÔéÇâÅ´ à´ÕëÂÇ¡çä´éàͧ(·Ó»ÃШÓ)
__________________
Í´Õµ¤×ÍÀÒ¾¾¨¹ì ͹Ҥµ¤×ͤÇÒÁ½Ñ¹ »Ñ¨¨ØºÑ¹¤×ͤÇÒÁ¨ÃÔ§
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #10  
Old 05 ÁÕ¹Ò¤Á 2009, 11:19
kheerae's Avatar
kheerae kheerae äÁèÍÂÙèã¹Ãкº
ÅÁ»ÃÒ³ºÃÔÊØ·¸Ôì
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 07 ÊÔ§ËÒ¤Á 2008
¢éͤÇÒÁ: 117
kheerae is on a distinguished road
Default

¼Á¡çäÁè¤èÍÂÃÙéà·èÒäÃËÃÍ¡¤ÃѺ áµè¶éÒʧÊÑ¡çÁÒ·Õè kheerae@hotmail.com ä´éàŤÃѺ ¶éҵͺäÁèä´é¡ç¨Ð¾ÂÒÂÒÁËÒÁÒãËé¹Ð¤ÃѺ

ÍëÍÍÕ¡ÍÂèҧ˹Öè§Å×Á·Ñ¡·ÒÂÍÒ¨ÒÃÂìµÑÇàͧ·Õèà¤ÂàÃÕ¹µÍ¹ Á.µé¹¹Ð¤ÃѺ ÍÒ¨ÒÃÂ줹¹Õéà¢ÒÊ͹·Ñ駼ÁáÅСç¾Õè¢Í§¼Á´éǤÃѺ
à¡×ͺÅ×Á ÊÇÑÊ´Õ¤ÃѺ ÍÒ¨ÒÃÂì (¤¹ÃÑ¡¤³Ôµ) ʺÒ´ÕäËÁ¤ÃѺ
__________________
"äÁèÁÕÍÐäôÕ仡ÇèÒ¡Ò÷Õèä´éµ×è¹¢Öé¹ÁÒÍÕ¡Çѹ" ¼Áàª×èÍã¹»Ò¯ÔËÒÃÂìáµè¼ÁäÁèàª×èÍÇèÒ»Ò¯ÔËÒÃÂì¨Ðà¡Ô´¢Ö鹶éÒ¼ÁäÁè·Ó

05 ÁÕ¹Ò¤Á 2009 12:35 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ nongtum
à˵ؼÅ: double post
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #11  
Old 05 ÁÕ¹Ò¤Á 2009, 18:50
seidon's Avatar
seidon seidon äÁèÍÂÙèã¹Ãкº
àÃÔèÁ½Ö¡ÇÃÂØ·¸ì
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 09 ¸Ñ¹ÇÒ¤Á 2007
¢éͤÇÒÁ: 27
seidon is on a distinguished road
Default

sin30 ¤×ÍÍÐäÃÍèÒ
§§ äÁèà¤Âà¨Í

ã¤ÃÃÙéªèÇÂ͸ԺÒÂ˹èͤѺ
__________________
Did you know that those who appear to be very strong in heart are real weak and most susceptible?
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #12  
Old 05 ÁÕ¹Ò¤Á 2009, 20:42
¤usÑ¡¤³Ôm's Avatar
¤usÑ¡¤³Ôm ¤usÑ¡¤³Ôm äÁèÍÂÙèã¹Ãкº
à·¾ÂØ·¸ì
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 28 ÁÕ¹Ò¤Á 2008
¢éͤÇÒÁ: 4,888
¤usÑ¡¤³Ôm is on a distinguished road
Default

ÍéÒ§ÍÔ§:
¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ kheerae View Post
¼Á¡çäÁè¤èÍÂÃÙéà·èÒäÃËÃÍ¡¤ÃѺ áµè¶éÒʧÊÑ¡çÁÒ·Õè kheerae@hotmail.com ä´éàŤÃѺ ¶éҵͺäÁèä´é¡ç¨Ð¾ÂÒÂÒÁËÒÁÒãËé¹Ð¤ÃѺ

ÍëÍÍÕ¡ÍÂèҧ˹Öè§Å×Á·Ñ¡·ÒÂÍÒ¨ÒÃÂìµÑÇàͧ·Õèà¤ÂàÃÕ¹µÍ¹ Á.µé¹¹Ð¤ÃѺ ÍÒ¨ÒÃÂ줹¹Õéà¢ÒÊ͹·Ñ駼ÁáÅСç¾Õè¢Í§¼Á´éǤÃѺ
à¡×ͺÅ×Á ÊÇÑÊ´Õ¤ÃѺ ÍÒ¨ÒÃÂì (¤¹ÃÑ¡¤³Ôµ) ʺÒ´ÕäËÁ¤ÃѺ
â·É¹Ð
àÃÒà»ç¹à´ç¡»ÃжÁ ¸ÃÃÁ´Òæ äÁèà¤ÂÊ͹ã¤ÃàÅÂ
ÍéÒ§ÍÔ§:
¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ seidon View Post
sin30 ¤×ÍÍÐäÃÍèÒ
§§ äÁèà¤Âà¨Í

ã¤ÃÃÙéªèÇÂ͸ԺÒÂ˹èͤѺ
ÃÙ»ÀÒ¾·ÕèṺÁÒ´éÇÂ
 
__________________
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #13  
Old 05 ÁÕ¹Ò¤Á 2009, 23:52
ÅÙ¡ªÔé¹'s Avatar
ÅÙ¡ªÔé¹ ÅÙ¡ªÔé¹ äÁèÍÂÙèã¹Ãкº
¡ÃкÕèäÇ
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 05 ÁÕ¹Ò¤Á 2006
¢éͤÇÒÁ: 216
ÅÙ¡ªÔé¹ is on a distinguished road
Default

¤Ø³ ¤usÑ¡¤³Ôm à»ç¹à´ç¡»ÃжÁËÃͤÃѺ
à»ç¹à´ç¡·Õèã½èÃÙéÁÒ¡àÅ ^_^
__________________
Do math, do everything.
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #14  
Old 06 ÁÕ¹Ò¤Á 2009, 08:09
¤usÑ¡¤³Ôm's Avatar
¤usÑ¡¤³Ôm ¤usÑ¡¤³Ôm äÁèÍÂÙèã¹Ãкº
à·¾ÂØ·¸ì
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 28 ÁÕ¹Ò¤Á 2008
¢éͤÇÒÁ: 4,888
¤usÑ¡¤³Ôm is on a distinguished road
Default



1). ä«¹ì ¢Í§ÁØÁ ¤×Í ÍѵÃÒÊèǹ¢Í§¤ÇÒÁÂÒÇ´éÒ¹µÃ§¢éÒÁ µèͤÇÒÁÂÒÇ´éÒ¹µÃ§¢éÒÁÁØÁ©Ò¡ ã¹·Õè¹Õé¤×Í

sin(A) = ¢éÒÁ/©Ò¡ = a/h
2). â¤ä«¹ì ¢Í§ÁØÁ ¤×Í ÍѵÃÒÊèǹ¢Í§¤ÇÒÁÂÒÇ´éÒ¹»ÃЪԴ µèͤÇÒÁÂÒÇ´éÒ¹µÃ§¢éÒÁÁØÁ©Ò¡ ã¹·Õè¹Õé¤×Í

cos(A) = ªÔ´/©Ò¡ = b/h
3). ᷹ਹµì ¢Í§ÁØÁ ¤×Í ÍѵÃÒÊèǹ¢Í§¤ÇÒÁÂÒÇ´éÒ¹µÃ§¢éÒÁ µèͤÇÒÁÂÒÇ´éÒ¹»ÃЪԴ ã¹·Õè¹Õé¤×Í

tan(A) = ¢éÒÁ/ªÔ´ = a/b
4). ⤫Õ᤹µì csc(A) ¤×Ϳѧ¡ìªÑ¹¼¡¼Ñ¹¡Òäٳ¢Í§ sin(A) ¹Ñ蹤×Í ÍѵÃÒÊèǹ¢Í§¤ÇÒÁÂÒÇ´éÒ¹µÃ§¢éÒÁÁØÁ©Ò¡ µèͤÇÒÁÂÒÇ´éÒ¹µÃ§¢éÒÁ

csc(A) = ©Ò¡/¢éÒÁ = h/a
5). «Õ᤹µì sec(A) ¤×Ϳѧ¡ìªÑ¹¼¡¼Ñ¹¡Òäٳ¢Í§ cos(A) ¹Ñ蹤×Í ÍѵÃÒÊèǹ¢Í§¤ÇÒÁÂÒÇ´éÒ¹µÃ§¢éÒÁÁØÁ©Ò¡ µèͤÇÒÁÂÒÇ´éÒ¹»ÃЪԴ

sec(A) = ©Ò¡/ªÔ´ = h/b
6). â¤á·¹à¨¹µì cot(A) ¤×Ϳѧ¡ìªÑ¹¼¡¼Ñ¹¡Òäٳ¢Í§ tan(A) ¹Ñ蹤×Í ÍѵÃÒÊèǹ¢Í§¤ÇÒÁÂÒÇ´éÒ¹»ÃЪԴ µèͤÇÒÁÂÒÇ´éÒ¹µÃ§¢éÒÁ

cot(A) = ªÔ´/¢éÒÁ = b/a

´Ùà¾ÔèÁ http://th.wikipedia.org/wiki/%E0%B8%...B8%95%E0%B8%B4

µÒÃÒ§µÃÕ⡳

⪤´Õ¹Ð¤Ø³¾Õè seidon

»Å.àÃÒÍÂÙè».5ÍèÐ :P
__________________
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #15  
Old 06 ÁÕ¹Ò¤Á 2009, 08:39
banker banker äÁèÍÂÙèã¹Ãкº
à·¾à«Õ¹
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 24 Á¡ÃÒ¤Á 2002
¢éͤÇÒÁ: 9,910
banker is on a distinguished road
Default

ÍéÒ§ÍÔ§:
¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ [SIL] View Post
ÃÙéÊÖ¡¨Ð¼Ô´ËÁ´¹Ð¤ÃѺ
$sin30 \not= sin30^ð$
¤Ø³SILµéͧ¡ÒÃÊ×èÍÇèÒ àÇÅÒà¢Õ¹µÑÇàÅ¢ ãËéÃкØ˹èÇ´éÇÂ
à¾ÃÒÐ˹èÇÂÁÕ·Ñé§Í§ÈÒáÅÐàÃà´ÕÂÅ

¶éÒÁØÁà»ç¹Í§ÈÒ ¡ç¾ÂÒÂÒÁÃкØÇèÒà»ç¹Í§ÈÒ àªè¹ $sin30^0$
à¢Õ¹ãËéªÔ¹Á×Í àÇÅÒàÃÕ¹ÊÙ§¢Ö鹨Ðä´éäÁè¾ÅÒ´
__________________
ÁÒËÒ¤ÇÒÁÃÙéäÇéµÔÇËÅÒ¹
áµèËÅÒ¹äÁèàÍÒàÅ¢áÅéÇ
à¢éÒÁÒ·ÓàÅ¢àÍÒÁѹÍÂèÒ§à´ÕÂÇ

¤ÇÒÁÃÙéà»ç¹ÊÔè§à´ÕÂÇ·ÕèÂÔè§ãËé ÂÔè§ÁÕÁÒ¡


ÃÙéÍÐäÃäÁèÊÙé ÃÙé¨Ñ¡¾Í
(¡àÇ鹤ÇÒÁÃÙé äÁèµéͧ¾Í¡çä´é ËÒäÇéÁÒ¡æáËÅдÕ)
(áµè¡çÍÂèÒãËéÁÒ¡¨¹·èÇÁËÑÇ àÍÒµÑÇäÁèÃÍ´)
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
µÑé§ËÑÇ¢éÍãËÁè Reply



¡®¡ÒÃÊ觢éͤÇÒÁ
¤Ø³ äÁèÊÒÁÒö µÑé§ËÑÇ¢éÍãËÁèä´é
¤Ø³ äÁèÊÒÁÒö µÍºËÑÇ¢éÍä´é
¤Ø³ äÁèÊÒÁÒö Ṻä¿ÅìáÅÐàÍ¡ÊÒÃä´é
¤Ø³ äÁèÊÒÁÒö á¡é䢢éͤÇÒÁ¢Í§¤Ø³àͧä´é

vB code is On
Smilies are On
[IMG] code is On
HTML code is Off
·Ò§ÅÑ´ÊÙèËéͧ


àÇÅÒ·ÕèáÊ´§·Ñé§ËÁ´ à»ç¹àÇÅÒ·Õè»ÃÐà·Èä·Â (GMT +7) ¢³Ð¹Õéà»ç¹àÇÅÒ 05:04


Powered by vBulletin® Copyright ©2000 - 2024, Jelsoft Enterprises Ltd.
Modified by Jetsada Karnpracha