[¼Æ¾Ç]2004¦~IMO,¤j³°¥I¶³¯Eªºº¡¤À¸Ñµª

[¼Æ¾Ç]2004¦~IMO,¤j³°¥I¶³¯Eªºº¡¤À¸Ñµª

¥Ñ J+W ©ó ¬P´Á¤é ¤C¤ë 17, 2005 12:26 am


(¤Þ¨¥)
¤µ¤Ñ¤W¤ÈºÎ¤F­ÓÃiı¡A±q¤U¤È¤TÂI¶}©l¤u§@¡A¤S¥[¤F¤@±ß¤W¯Z¡A²×©ó§â¥»©¡IMOªº¸ÕÃD¥þ³¡¸Ñµª¥X¨Ó¨Ã¾ã²zºë²¤F¡C²{¦b©«¥X¨Ó¡A§Æ±æ¤j®a¦h«ü±Ð¡C

45-1¡G
¦]爲MO=NO¡AOR=OR¡A<MOR=<NOR¡A©Ò¥HMR=NR
©Ò¥HR¦b<MAN¥­¤À½u¤W¥H¤Î½u¬qMNªº¤¤««½u¤W
¤S¦]爲AM/AC=AN/AB±oAM»PAN¤£µ¥
©Ò¥HR´N¬O<MAN¥­¤À½u©M½u¬qMNªº¤¤««½u¤§¥æÂI
©Ò¥HÂIR¦b¤T¨¤§ÎMANªº¥~±µ¶ê¤W
©Ò¥H<MRN=180-<MAN
§@<MRP=180-<B¥æBC©óP¡A¨º麽<NRP=180-<C
¦]¦¹M¡BR¡BP¡BB¥H¤ÎN¡BR¡BP¡BC¤À§O¦@¶ê¡AÃÒ²¦¡C

ª`¡G¦¹ÃDÃø«×¾A¦X°µ²Ä¤@ÃD¡A­Ë±À·|¤ñ¸û²³æ¡A³Ì«á»Ý­nÃÒ©ú¤@¤UÂIP½T¹ê¦b½u¬qBC¤W¡C

45-2¡G
¥Oa=b=c=0±of(0)=0
¥Oa=b=0±of(c)+f(-c)=2f(c)¡A©Ò¥Hf¬O°¸¨ç¼Æ¡A¥ç§Yf(x)¬OÃö©óx^2ªº¦h¶µ¦¡¡C
¹ï©ó¥ô·Nªº«D­t¹ê¼Æm©Mn¡A¤@¤¸¤G¦¸¤èµ{x(x+m)+x(x-n)+(x+m)(x-n)=0ÅãµM¦³¸Ñ¡A³o¬O¦]爲¤G¦¸¶µ«Y¼Æ爲¥¿¦Ó±`¼Æ¶µ«D¥¿¡C¨ú¤@­Ó¸Ñx¡A¥Oa,b,c¤À§O爲x¡Bx+m¡Bx-n¡A§Ú­Ì±o¨ì¤U­±¦¡¤l¡G
f(m)+f(n)+f(m+n)=2f(sqrt(m^2+mn+n^2))
¤£§«³]m¤£¤p©ón¡A¥Hm-n¥N´Àm¦³f(m)+f(n)+f(m-n)=2f(sqrt(m^2-mn+n^2))
¦]¦¹f(m+n)-f(m-n)=2f(sqrt(m^2+mn+n^2))-2f(sqrt(m^2-mn+n^2))
¥O¨ç¼Æg©w¸q¦b«D­t¹ê¼Æ¤W¥Bg(x)=f(sqrt(x))
¨º麽¹ï©ó¥ô·N«D­t¹ê¼Æm©Mn¡Ag(m^2+n^2+2mn)-g(m^2+n^2-2mn)=2g(m^2+n^2+mn)-2g(m^2+n^2-mn)
¥ç§Y¹ï©ó¥ô·N«D­t¹ê¼Æp©Mq¡A¥u­np¤£¤p©ó2q´N¦³g(p+2q)-g(p-2q)=2g(p+q)-2g(p-q)
¹ï©ó¥ô·N«D­t¹ê¼Æs©Mt¡A§Ú­Ì¦³¡G
g(s)-2g(s+t)+2g(s+3t)-g(s+4t)=0
2g(s+t)-4g(s+2t)+4g(s+4t)-2g(s+5t)=0
g(s+2t)-2g(s+3t)+2g(s+5t)-g(s+6t)=0
©Ò¥Hg(s)-3g(s+2t)+3g(s+4t)-g(s+6t)=0
¥Ht¥N2t¦³g(s)-3g(s+t)+3g(s+2t)-g(s+3t)=0
¦]爲g(x)¬OÃö©óxªº¦h¶µ¦¡¡A¥Ñ¤W¦¡¤£Ãø±o¥Xg(x)¬OÃö©óxªº¤£¶W¹L2¦¸ªº¦h¶µ¦¡¡C
¥Ñg(0)=0ª¾±`¼Æ¶µ爲0¡A¥i³]g(x)=dx^2+ex¡C
©Ò¥Hf(x)=dx^4+ex^2¡A¸gÀËÅ窾¥ô·Nªº¹ê¼Æd©Me³£¥i¥H¨Ï­ì¨ç¼Æ¤èµ{¦¨¥ß¡C

ª`¡G¦¹ÃDÃø«×¨Ã¤£¤j¡A©ñ¦b²Ä¤GÃDµyÅã®e©ö¡C

45-3¡G
¨C¤@­Ó鈎§Î¥W¤U¥hªº¨º¤@®æ¥²¶·¥Ñ¥t¤@­Ó鈎§Îªº¬Y¤@®æ¶ñ¥R
¸g¸ÕÅç±o¥²µM¬O¨â­Ó鈎§Î«÷¦¨¦p¤U¨â­Ó§Îª¬¤§¤@¡G
XXXX XX
XXXX XXXX
XXXX XXXX
XX
©Ò¥H¡A­n¬Oa*bªº¯x§Î¥i¥H³Q鈎§Î¤£­«¤£º|¦a¸Éº¡¡A¥²µM¦³12|ab
¤S¡Ga¦Ü¤Ö¬O3¡A³o¬O¦]爲¤W­±¨â­Ó§Îª¬³£¦Ü¤Ö»Ý­n3¦æ3¦C
¦AªÌ¡Aa¤£µ¥©ó5¡A§_«h¥i¥H¥ý§â¥H¤W¨â­Ó§Îª¬µø爲2*3¯x§Î«÷°_¨Óªº¡C¦Ó2*3¯x§Î­n«÷¼e«×¬O5ªº¯x§Î¡A¨¤¸¨¥²µM¬O¦p¤U§Îª¬¡G
XXX
XXX
XX
XX
XX
¤W­±¨º­Ó¤p2*3¯x§ÎµLªk»P¥ô¤@2*3¯x§Î§Î¦¨¤W­±¨â­Ó§Îª¬¤§¤@¡A¥Ù¬Þ¡I
ºî¤W¡A§Ú­ÌÃÒ©ú¤F12|ab¥H¤Îa©Mb³£¤£µ¥©ó1©Î2©Î5
¤U­±±NÃÒ©ú4|a©Î4|b
­Y¤£µM¡A2||a¥B2||b
§Ú­Ìª¾¹D¡A©Ò¦³ªº²Ä4k+1¦æ¤ñ©Ò¦³ªº²Ä4k+3¦æ«ê¦n¦hb­Ó®æ¤l
²Ä¤@ºØ¹Ï§Î(3*4¯x§Î)¦pªG¦p¤W©ñ·|¾É­P©Ò¦³ªº²Ä4k+1¦æ©M©Ò¦³ªº²Ä4k+3¦æ®t¥X4­Ó®æ¤l©ÎªÌ¤£®t¡A¦pªG´«­Ó¤è¦V©ñ«h¨âÃä®æ¤l¤@¼Ë¦h¡C
²Ä¤GºØ¹Ï§Î¦pªG¦p¤W©ñ·|¾É­P©Ò¦³ªº²Ä4k+1¦æ©M©Ò¦³ªº²Ä4k+3¦æ®t¥X2­Ó®æ¤l¡A¦pªG´«­Ó¤è¦V©ñ·|¾É­P¨âÃä®æ¤l¤@¼Ë¦h¡C
¥Ñ©ób¬O2ªº©_¼Æ­¿¡A©Ò¥H¦p¤W©ñªº²Ä¤GºØ¹Ï§Î¦³©_¼Æ­Ó
¦P²z¡A´«­Ó¤è¦V©ñ¸mªº²Ä¤GºØ¹Ï§Î¤]¦³©_¼Æ­Ó¡A¥ç§Y²Ä¤GºØ¹Ï§Î¦@¦³°¸¼Æ­Ó¡C
¦A§â¤j¯x§Î½s¸¹¡A²Ä¤@¦æ«ö12341234¡K¡K½s¸¹¡A²Ä¤G¦æ«ö23412341¡K¡K½s¸¹¡A¨Ì¦¸Ãþ±À¡C
¦Ò¼{½s¸¹爲1©M2ªºÁ`¦@¤ñ½s¸¹爲3©M4ªº¦h2­Ó¡]³oùؽÐŪªÌ·Q·Q爲¤°麽¡^
¦Ó²Ä¤@ºØ¹Ï§ÎµL½×«ç麽Â\©ñ³£¬O½s¸¹爲1©M2ªº©M½s¸¹爲3©M4ªº¤@¼Ë¦h¡A³£¥e6­Ó
²Ä¤GºØ¹Ï§ÎµL½×«ç麽Â\©ñ³£¬O½s¸¹爲1©M2ªº»P½s¸¹爲3©M4ªº®t¥X¨â­Ó
©Ò¥H²Ä¤GºØ¹Ï§ÎÀ³¸Ó¦³©_¼Æ­Ó¡A³o»P¤W­±µ²½×¥Ù¬Þ¡I
ºî¤W¡A§Ú­Ì¤w¸gÃÒ©ú¤F3|a©Î3|b¡A4|a©Î4|b¡A¥Ba©Mb³£¤£¬O1©Î2©Î5
¤U­±ÃÒ©ú¹ï©ó³o¼Ëªºa©Mb¡Aa*bªº¯x§Î¥i¥H³Q鈎§Î¤£­«¤£º|¦aÂл\
­Y3|a¥B4|b¡A¨º麽¤j¯x§Î¥i¥H³Q¨â¨â¤@²Õ²Õ¦¨3*4¯x§Îªº鈎§ÎÂл\¡A¹ï©ó3|b¥B4|aªº±¡ªp¤]¬O¤@¼Ë
­Y12|a¨º麽3*a©M4*aªº¯x§Î§¡¥i³Q鈎§ÎÂл\¡A¤Sb¤£µ¥©ó1©Î2©Î5¡A©Ò¥Hb¥i¥Hªí¥Ü¦¨3x+4yªº§Î¦¡(x©My³£¬O«D­t¾ã¼Æ)¡A©Ò¥Ha*bªº¯x§Î¥ç¥i³QÂл\¡A¹ï©ó12|bªº±¡ªp¤]¬O¤@¼Ë¡C
ºî¤W©Ò­z¡A¤j¯x§Î¥i¥H³Q鈎§Î¤£­«¤£º|Âл\ªº¥R­n±ø¥ó¬O3|a©Î3|b¡A4|a©Î4|b¡A¥Ba©Mb³£¤£¬O1©Î2©Î5¡C

ª`¡G¤w¸g«Üªø®É¶¡¨S¦³¸I¹L³o麽¦nªº²Õ¦XÃD¤F¡A°µ§¹¤F¯u¬O²n´N¤@­Ó¦r¡C³o­ÓÃD©ñ¦b²Ä¤TÃDµyÃø¡Aµ§ªÌ¤]¬O¥Î¤F3¦¸¬V¦â¡A¤~±N¦h¥X¨Óªº²Ä¤GºØ¹Ï§Î¦Û¥Í¦Û·À±¼¡A¥i¨£ÃD¥Ø¤§Ácº¾¡C

45-4¡G
¦pªG¨ä¤¤¦³¤T­Ó¼Æa¡Ab¡Acº¡¨¬a>=b+c¡]´N¬O²Õ¤£¦¨¤T¨¤§Î¡^¡A¨º麽
­ì¦¡¥kÃä>a/b+b/c+c/a+a/c+c/b+b/a+(n^2-6)¡]³o¤@¨B¯dµ¹ÅªªÌ¥h«ä¦Ò¡^
>=a/b+c/a+a/c+b/a+(n^2-4)
>=(b+c)/b+c/(b+c)+(b+c)/c+b/(b+c)+(n^2-4)
¡]³o¤@¨BŪªÌ¤]¥i¥H¦Ò¼{¤@¤U爲¤°麽¡^
=b/c+c/b+n^2-1
>=n^2+1¡C¥Ù¬Þ¡IÃÒ²¦¡C

ª`¡G¥»ÃD©M²Ä¤@ÃD¤@¼ËÄÝ©ó³Ì²³æªºÃD¥Ø¡A¦Òªº³£¬O°ò¥»¥\¡C

45-5¡G
¤£§«³]P¦b¤T¨¤§ÎABD¤º³¡
¦pªGABCD¤º±µ©ó¶ê¡A¨º麽©µªøBP¡ADP¤À§O¥æ¦¹¶ê©óF©ME¡C
©öª¾AF=CD¡AAE=BC¡A¤S¦]爲³o¬O¦b¤@­Ó¶êùØ¡A¬G¾ã­Ó¹Ï§Î¬O¶b¹ïºÙ¹Ï§Î¡A¬GAP=CP

¦pªGAP=CP¡A¨º麽¥HAC¤¤««½u爲¹ïºÙ¶b§@B©MDªº¹ïºÙÂI°O§@E©MF¡A³o¤S¬O­Ó¶b¹ïºÙ¹Ï§Î¡A
³]BF©MDE¥æ©óÂIQ
¦pªGP¡AQ­«¦X¡A¨º麽¦³¤T¨¤§ÎABF©M¤T¨¤§ÎBCD¥~±µ¶ê¥b®|¬Û¦P¡A©Ò¥HE¡AB¡AC¡AD¥|ÂI¦@¶ê¡A©Ò¥H¤»ÂI¦@¶ê¡A©Ò¥H­ì¥|Ãä§Î¤º±µ©ó¶ê
­YP¡AQ¤£­«¦X¡A¤£§«³]P¤ñQ§ó±µªñª½½uDF
¨º麽<ABF¤p©ó<DBC¡A¬GÂIEÀ³¸Ó¦b¤T¨¤§ÎBCD¥~±µ¶ê¥~³¡
°ò¥»¦P²z¥i±o¡AÂIFÀ³¸Ó¦b¤T¨¤§ÎBCD¥~±µ¶ê¤º³¡
©Ò¥H<BFD¤j©ó180-<BCD¤j©ó<BED¡A¦ý³o»PB¡BD¡BF¡BE¥|ÂI¦@¶ê¥Ù¬Þ¡IÃÒ²¦¡C

ª`¡G¥ý·Q¨ì«e­±¤@¥b¥Î¶b¹ïºÙ¹Ï§Î¨Ó¸Ñ¡A«á­±´N®e©ö¤F¡A§_«h·|«ÜÃø¡A¥»ÃD©ñ¦b³oùØÃø«×µy°ª¡C

45-6¡G
¤Þ²z1¡G¹ï©ó¥ô·N¥¿¾ã¼Æn¡A¦s¦b¤@­Ó¤£¶W¹Ln¦ì¡A¥½¦ì«D0ªº¡§ÂàÅܪº¡¨¼Æ¬O2^nªº­¿¼Æ
¥Î¼Æ¾ÇÂk¯Çªk¡An=1®É¨ú2¡An¨C¦¸¦h1®É¡A¥ý½T©w¦b¤wª¾¼Æ«e­±À³¸Ó¥[¤@­Ó©_¼ÆÁÙ¬O°¸¼Æ¤~¯à³Q·sªº2^n¾ã°£¡A¦A¦Ò¼{¤£»P«á¤@¦ì¬Û¦P¡AÁ`¥i¥H°µ¨ì¡C

¤Þ²z2¡G¹ï©ó¥ô·N¥¿¾ã¼Æn¡A¦s¦b¤@­Ó¤£¶W¹Ln¦ì¡A¥½¦ì«D0ªº¡§ÂàÅܪº¡¨¼Æ¬O5^nªº­¿¼Æ
¥Î¼Æ¾ÇÂk¯Çªk¡An=1®É¨ú5¡An¨C¦¸¦h1®É¡A¥ý½T©w¦b¤wª¾¼Æ«e­±À³¸Ó¥[¤@­Ó³Q5°£¾l¦h¤Öªº¼Æ¤~¯à³Q·sªº5^n¾ã°£¡A¦A¦Ò¼{¤£»P«á¤@¦ì¬Û¦P¡AÁ`¥i¥H°µ¨ì¡C¦pªG²Ä¤@¦ì³Q­¢爲0¡A¨º麽¥h±¼¥¦´N¬Oº¡¨¬±ø¥óªº¼Æ¡A¦Ó¦V¤U¤@­Ón»¼±À®É¦A§â0¼g¤W¨Ã¦Ò¼{²Ä¤@¦ì¤£¯à¬O0

¤Þ²z3¡G¹ï©ó¥ô·N¤¬¯Àªº¥¿¾ã¼Æm©Mn¡AÁ`¥i¥H§ä¨ì¤@­Ó¥¿¾ã¼Æp¨Ïm^(p-1)+m^(p-2)+¡K¡K+m+1³Qn¾ã°£
·íp¹M¾ä¾ã­Ó¥¿¾ã¼Æ¶°®É¡AÁ`¦³¨â­Óp¨Ï©Ò¦C¥Xªº¨â­Ó¼Æ¼Òn¦P¾l¡A¥Î¤jªº´î¤pªº¡A¦A°£¥Hmªº­Y¤z¦¸¤è§Y¥i

­ìÃD¡G©Ò¦³³o¼Ëªºn¬O©Ò¦³«D100ªº­¿¼Æªºn
¦pªG100|nÅãµMn¤£²Å¦X­n¨D
§_«h³]n=2^x*5^y*z¡A¨ä¤¤z»P10¤¬¯À¡A¥Bx»Py¦Ü¤Ö¦³¤@­Ó¤p©ó2
­Yx¤p©ó2¡A¥Ñ¤Þ²z2¦s¦b¤@­Ó¤£¶W¹Ly¦ì¡A¥½¦ì«D0ªº¡§ÂàÅܪº¡¨¼Æ¬O5^yªº­¿¼Æ¡A¤S¦]爲n»P10^d¤¬¯À(³oùØd¬O«ü¨º­Ó¡§ÂàÅܪº¡¨¼Æªº¦ì¼Æ¦A¥[1)¡A¬G¥Ñ¤Þ²z3¦s¦b³o麽¤@­Óp¡A¨º麽©ö¨£§â¨º­Ó¡§ÂàÅܪº¡¨¼Æ«á­±²K¤@­Ó0¡A¦A­«´_¼gp¹M¡A´N¬Onªº­¿¼Æ¡A¥BÁÙ¬O¤@­Ó¡§ÂàÅܪº¡¨¼Æ
­Yy¤p©ó2¡A¥Ñ¤Þ²z2¦s¦b¤@­Ó¤£¶W¹Lx¦ì¡A¥½¦ì«D0ªº¡§ÂàÅܪº¡¨¼Æ¬O2^xªº­¿¼Æ¡A¤S¦]爲n»P10^d¤¬¯À(³oùØd¬O«ü¨º­Ó¡§ÂàÅܪº¡¨¼Æªº¦ì¼Æ¦A¥[1)¡A¬G¥Ñ¤Þ²z3¦s¦b³o麽¤@­Óp¡A¨º麽©ö¨£§â¨º­Ó¡§ÂàÅܪº¡¨¼Æ«á­±²K¤@­Ó0¡A¦A­«´_¼gp¹M¡A´N¬Onªº­¿¼Æ¡A¥BÁÙ¬O¤@­Ó¡§ÂàÅܪº¡¨¼Æ¡AÃÒ²¦

ª`¡G¦³¤Fµ²½×¤§«á¡A©Ò¦³ªº¤Þ²z¥H¤ÎÃÒ©ú³£¤£Ãø·Q¨ì¡A¦¹ÃD¨Ã¤£Ãø¡A©ñ¦b²Ä6ÃD¦³¨Ç«j±j¡A¬Æ¦Ü¥i¯à·|¤ñ²Ä5ÃD®e©ö




ªþ:



¥Ñ©ó¥»¤H¤@®É²¨©¿¡A¨S¦³Åª§¹²Ä¤»ÃDÃD¥Ø¡A¥H爲¥u¶·¾F¦ì¤¸¼Æ¦ì¤£¬Û¦P´N¦æ¤F¡A¥H¦Üµ¹¥X¤F¤@­Ó¿ù»~ªºµª®×¡A²{§â§ó¥¿«áªºµª®×µ¹¥X¡A±æ¤j®a½Ì¸Ñ¡C
­º¥ý­«ÃÒ¤Þ²z1¡A¨Ã§â³Ì«á¤@¦ì©w爲2¡G
ÁÙ¬O¥Î¼Æ¾ÇÂk¯Çªk¡An=1®É¨ú2¡An=2®É¨ú12¡A¥H«án¨C¥[1ªº®É­Ô´N¦Ò¼{¦b³Ì¥ªÃäÀ³¸Ó²K¥[
¤@­Ó©_¼ÆÁÙ¬O°¸¼Æ¤~¯à¨Ï±o·sªº¼Æ³Q·sªº2^n¾ã°£¡A¦pªG­n²K¥[ªº¼Æ¥²¶·©M­ì¨Óªº­º¦ì¼Æ©_°¸©Ê¬Û¦P¡A¨º麽§â­ì¨Óªº­º¦ì¥[©ÎªÌ´î2´N¥i¥H¤F¡C
µM«á­«ÃÒ¤Þ²z2¡A¨Ã§â³Ì«á¤@¦ì©w爲5¡G
¨ä¹ê³o­Ó´N¬O§Q¥Î¨C¦ì³£¦³2­Ó¤£¦P©_°¸©Êªº¿ï¾Ü
¤§«á¤Þ²z3¤£¥ÎÅÜ
¹ï­ì©RÃDªºÃÒ©ú¡G­Yn¤£¬O5ªº­¿¼Æ¡A¨º麽¥ý¥Î¤Þ²z1¡A¦pªGnùØÃä5ªº¾­¦¸¬O©_¼Æ¦¸´NÀH«K¸É¤@¦ì©_¼Æ¨Ï±o­ì©lªº¨º­Ó¼Æ¬O°¸¼Æ¦ì¡A¦pªG­ì©l´N¬O°¸¼Æ¦ì«K¤£¥Î°Ê¡A¦A®M¤Þ²z3§Y±o¡C
­Yn¬O©_¼Æ¡A¨º麽¥ý¥Î¤Þ²z1¨Ã¦P¼Ë§â­ì©lªº¼Æ§Ë¦¨°¸¼Æ¦ì¡A¦A®M¤Þ²z3¡C
­Yn¼Ò4¾l2¡A¥În/2¥N´Àn¥N¤J¤W­±±¡ªp¡A³Ì«á¦b©Ò±oªº©_¼Æ«á­±¥[­Ó0¡C
­Y20|n¡AÅãµMnªº¥ô¦ó¥¿¾ã¼Æ­¿³£¤£¬O¡§ÂàÅܪº¡¨¡C
ºî¤W¡A©Ò¨Dªºn¬O©Ò¦³¤£¬O20ªº­¿¼Æªºn¡C

³Ì«á§Ú­n»¡¤@¥y¡A½Ð¤j®a¬Û«H§Ú¡A¦pªG§Ú®³¨ìªº¬O¤¤¤åÃD¥Ø¡A§Ú¤@©w¤£·|¥Ç³o­Ó§C¯Å¿ù»~ªº¡C

J+W:¶K¤åªº¥Î·N¬O¨Ñ¦³»Ý­nªÌ°µ°Ñ¦Ò!

J+W
ª©¡@¥D
ª©¡@¥D
 
¤å³¹: 2161
µù¥U®É¶¡: 2003-12-30

¥Ñ yll ©ó ¬P´Á¤é ¤C¤ë 17, 2005 11:06 am


J+W
­ì©lªºÃD¥Ø­þ¦³?
¤£µM¥u¦³µª®×
¬Ý¤£À´...

yll
«Ó­ô¨}~
«Ó­ô¨}~
 
¤å³¹: 4382
µù¥U®É¶¡: 2002-08-28
¨Ó¦Û: §Ú±N¨Ó­n¥hªº¦a¤è~

¥Ñ ¯E¯E ©ó ¬P´Á¤é ¤C¤ë 17, 2005 11:39 am


1.¤wª¾¤T¨¤§ÎABC¬°¾U¨¤¤T¨¤§Î,AB ¤£µ¥©ó AC,¥HBC¬°ª½®|ªº¶ê¤À§O¥æÃäAB,AC©óÂIM,N
°OBCªº¤¤ÂI¬°O,¨¤BACªº¥­¤À½u©M¨¤MONªº¥­¤À½u¬Û¥æ©óÂIR
¨DÃÒ:¤T¨¤§ÎBMRªº¥~±µ¶ê©M¤T¨¤§ÎCNRªº¥~±µ­ì¦³¤@­Ó¥æÂI¦b½u¬qBC¤W.

2.¸Õ¨D¥X©Ò¦³ªº¹ê«Y¼Æ¦h¶µ¦¡P(x)¨Ï±oº¡¨¬ab+bc+ca=0ªº©Ò¦³¹ê¼Æa b c,³£¦³
P(a-b)+P(b-c)+P(c-a)=2P(a+b+c)

3.
    X X X
    X O X
    X
¥Ñ6­Ó³æ¦ì¥¿¤è§Îºc¦¨¦p¤W¹Ï(Xªº¦a¤è)¥H¤Î¥Lªº±ÛÂà©Î½Âà©Ò±o¨ìªº¹Ï§Î²ÎºÙ¬°¹_«¬,¸Õ½T©w©Ò¦³ªºm*n¯x¦æ,¨Ï¨ä¯à³Q¹_«¬©ÒÂл\.­n¨D
(1)Âл\®É,¤£¯à¦³ªÅ»Ø.¹_«¬¤§¶¡¤£­«Å|
(2)¹_«¬¤£¯àÂл\¨ì¯x§Î¥~

4.³]N¤j©óµ¥©ó3¬°¾ã¼Æ,t1,t2....tn ¬°¥¿¾ã¼Æ
º¡¨¬
ÃÒ©ú¹ï¥ô¦ó 1<= i < j < k <=n ªº©Ò¦³¾ã¼Æ i  j  k ¥Ht1  t2  tk¬°Ãäªøªº½u¬q¯à°÷¦¨¤T¨¤§Î

5.¦b¥Y¥|Ãä§ÎABCD¤¤,¹ï¨¤½uBD¬J¤£¬O¨¤ABCªº¥­¤À½u,¤]¤£¬O¨¤CDAªº¥­¤À½u.ÂIP¦b¥|Ãä§ÎABCDªº¤º³¡,º¡¨¬¨¤PBC=¨¤DBA©M¨¤PDC=¨¤BDA
ÃÒ©ú:ABCD¬°¶ê¤º±µ¥|Ãä§Îªº¥R¤À¥²­n±ø¥ó¬OAP=CP

6.¦pªG¤@­Ó¥¿¾ã¼Æªº¤Q¶i¨îªí¥Ü¤¤,¥ô¦ó2­Ó¬Û¾Fªº¼Æ¦r©_°¸©Ê¤£¦P,«hºÙ³o­Ó¥¿¾ã¼Æ¬°¥æ´À¼Æ
¸Õ¨D¥X©Ò¦³ªº¥¿¾ã¼Æn,¨Ï±on¦Ü¤Ö¦³¤@­Ó­¿¼Æ¬°¥æ´À¼Æ.
Fernando Tan
Åwªï¤j®a¥[¤J¡G http://tw.club.yahoo.com/clubs/happylearning/

¥u­n§Ú¤£©ñ±ó¡A¹Ú·Q´N¦b¤£»·³B

¯E¯E
ª©¡@¥D
ª©¡@¥D
 
¤å³¹: 488
µù¥U®É¶¡: 2004-02-14
¨Ó¦Û: ¼Æ¤§»â°ì




¦UºØ­«­n¼Æ¾Ç¦ÒÃD°Q½×