logo ­º­¶ > ¤å¶×³ø > ¦Ê¬ì±Ò´¼ > ¥¿¤å

¡i¶ø¼Æ´¦¯µ¡j§P§O¦¡¦³­­¨î

2018-06-13

¤@¤¸¤G¦¸¤èµ{¦¡¬O°ª¤¤¼Æ¾Çªº°ò¦¡A§Î¦¡¬°ax2+bx+c=0¡A´NþÓ®Úªº©Ê½è¦³¤T­Ó±¡ªp¡A´N¬O¨â­Ó¹ê®Ú¡A©Î¥u¦³¤@­Ó®Ú¡A©ÎªÌ¬O¨â­Ó«D¹ê¼Æ®Ú¡C¦Ü©ó¦p¦ó§PÂ_³o¤TºØ±¡ªp¡A´N¬O¾a§P§O¦¡¤F¡A¨º´N¬O¡µ=b2-4ac¡C³o¸Ì½g´T¦³­­¡A´N¤£¸Ô­zÃö©ó¤@¤¸¤G¦¸¤èµ{ªº¤º®e¤F¡A³o¨Ç³£¤£Ãø¦b°ª¤¤±Ð¬ì®Ñ¸Ì©Îºô¤W§ä¨ì¡C

¥­±`¦b½Òµ{¤ºªº°ÝÃD¡A§P§O¦¡¦b­pºâ®É¡A³q±`¥uÃöª`¥¦¬O¥¿¬O­tÁÙ¬O¹s¡A¦Ó¤£«ç¼Ë²z·|¥¦¥»¨­ªº¼Æ­È«çš¬¼Ë¡C¥H¤U¤À¨ÉªºÃD¥Ø¡A·|µo²{§P§O¦¡ªº¼Æ­È¡A¦b¤@¨Ç±ø¥ó¤U¡A¬O¦³­­¨îªº¡C

°Ý ÃD

³]a¡Ab¡Ac¬O¾ã¼Æ¡A¨DÃÒ¡Gax2+bx+c=0ªº§P§O¦¡¤£¯à¬O10¡C

µª ®×

°²³]¡µ=b2-4ac=10¡A¥Ñ©ó4bc©M10¬Ò¬°°¸¼Æ¡A«hb2¬°°¸¼Æ¡C³]b=2m¡A¨ä¤¤m¬°¾ã¼Æ¡A«h

(2m)2-4ac=10

4(m2-ac)=10

¥Ñ©óµ¥¦¡¥ªÃä¬O4ªº­¿¼Æ¡A¦Ó¥kÃä°£¥H4¾l2¡A¥Ù¬Þ¡C¦]¦¹§P§O¦¡¤£¯à¬°10¡C

¦bÃÒ©úªº¹Lµ{¤¤¡A10³o­Ó¼Æ¦r¡A¤§©Ò¥H¥O¨ì§P§O¦¡¤£·|»P¥¦¬Ûµ¥¡A´N¬O¦]¬°10¬OÂù¼Æ¤§¾l¡AÁÙ¬O4n+2«¬ªºÂù¼Æ¡A§Y¬O°£¥H4¾l2ªºÂù¼Æ¡C­Y§P§O¦¡¬O³o¼ËªºÂù¼Æ¡A·|¥Ob2¬°Âù¼Æ¡A±q¦Ób2=4m2¥ç¬O4ªº­¿¼Æ¡A»P4ac¦X°_¨Ó¬Ý¡A´N¤´¬O4ªº­¿¼Æ¡A¤£·|¬O4n+2«¬ªºÂù¼Æ¡A±q¦Ó±o¥X¥Ù¬Þ¡C

Ãþ¦üªºµ²½×¡AÁÙ¦³¡u³]a¡Ab¡Ac¬O¾ã¼Æ¡A¨DÃÒ¡Gax2+bx+c=0ªº§P§O¦¡¤£¯à¬O4n+3¡A¨ä¤¤n¬°¾ã¼Æ¡C¡v§_«h­Y¦³b2-4ac=4n+3¡A«hb2¬°³æ¼Æ¡A³]b=2k+1¡A¨ä¤¤k¬°¾ã¼Æ¡A«h¦³(2k+1)2-4ac=4(k2+k-ac)+1¡A°£¥H4«á¾l1¦Ó¤£¬O3¡A¤£¬O4n+3«¬¡A±q¦Ó±o¨ì¥Ù¬Þ¡C

³o¨â­ÓÃö©ó§P§O¦¡ªºµ²ªG¡AÃÒ©ú°_¨Óºâ¬O²³æªº¡A¤£¹L¥­±`­Ë¬O¸û¤Ö¯d·N¡C

½Òµ{¤ºªº¼Æ¾ÇÃD¸Ì¡A¤@¤¸¤G¦¸¤èµ{ªº¨t¼Æ¡A³q±`³£¬O¾ã¼Æ¡A¥u¬O§P§O¦¡¦h¼Æ³£¬O­p¤F¥X¨Ó«ç¼Ë´N«ç¼Ë¡A¤]¨S¯d·N¥¦­ì¨Ó¦³¨Ç­­¨îªº¡A¤ñ¦p°£¥H4¤£¯à¾l2©Î¾l3¡C

¦b³o¨ÇÃö©ó§P§O¦¡ªº¨Æ¹ê¨Ó»¡¡A¦h¤Öºâ¬O¦³ÂI´¶¹M©Êªº¡A¹ï©ó­pºâ§P§O¦¡ªº®É­Ô¡A©TµM¦h¤Ö¬O¦³ÂI°»´ú¿ù»~ªº¥\¯à¡A¤£¹L¤S¤£ºâ¤°š¬«Ü±j¤jªº¤u¨ã©ÎªÌ©w²z¡C¨Æ¹ê¤W¡A¼Æ¾Ç¤Wªº°ÝÃD©M½m²ß¡A·í¤¤¦³¨Ç¬O¤ñ¸û±jªº©w²z¡A¥i¥H¼sªxÀ³¥Îªº¡A¥t¦³¤@¨Ç´N¥u¬OÀ°§U¾Ç¥Í¤F¸Ñ¦Û¤v¤£¨¬ªº³~®|¡A¥O¨ì¾Ç¥Í¦b¹J¤W¤£¨¬¤§«á¡A¦b¤Ï¬Ù©M¾Ç²ß¤¤±o¨ì§ïµ½¡C

³oÃD¤¶¥G¨âªÌ¤§¶¡¡C¦b¾Ç²ßªº®É­Ô¡A«ÜÃø¨C¤@ÃD³£¬O¥i¥H¼sªxÀ³¥Îªº©RÃD¡A¨Æ¹ê¤W¤]¤£»Ý­n¡A¯à°÷¦b½m²ß©M¤Ï¬Ù¤§¤¤¡A¤@¨B¤@¨B²Ö¿n¦U¤è­±ªº·Qªk¡A¦b¤£Â_±À½×¤§¤¤¶}Áï«ä¸ô¡A¤w¸g¬O¤£¿ùªº±oþÓ¡C

¬Ý¤å³¹¦³®É¤]¬O³o¼Ë¡CµL»Ý­n´Á±æ¦b¤@½g¤å³¹¤§¤¤¡A¥i¥H½aºÉ¦U¤è­±ªº¹D²z¡A¥u»Ý­n¦b¨º­Ó¥DÃD¤W¡A©ú¥Õ¤F¤@¨Ç¬ÛÃöªº¨Æ²z¡A§@¬°¤@­Ó°_ÂI¡AµM«á¦A¶i¤@¨B¥h±´¯Á¨ä¥L¬ÛÃöªºª¾ÃÑ¡A³o¤~¬O¾Ç²ßªº¤è¦V¡C

²{¦bºôµ¸¥@¬É¡A¤£Ãø§ä¨ì¦³Â×´I¤º®eªº¤å³¹¡AÀ´±o´NþÓ¤@­Ó­«¤ß¡A¬d§ä¬ÛÃöª¾ÃÑ©M¸ê°T¡A¨Ï¦Û¤vªº«ä·Q¥Ñ´X­ÓÂI¦Ó³s¦¨¤@½u¡A¦A¥Ñ¦h±ø½u¦Óµo®i¦¨¬°¤@­Óª¾ÃѪººôµ¸¡A³o¤]¬O¦b¾Ç²ß¤Wªº­«­n¯à¤O¤§¤@¡C ¡½±i§Ó°ò

²¤¶¡G­»´ä­º¶¡´£¨Ñ¶ø¼Æ°ö°V¤§±Ð¨|¾÷ºc¡A¨C¦~Á|¿ì¶ø¼Æ¤ñÁÉ¡A¨Ã¿n·¥¶}¿ì¤£¦PÃþ«¬ªº¶ø¼Æ°ö°V½Òµ{¡C¾Ç­û¦³¾÷·|Àò¿ï©Þ¦¨¬°­»´ä¥Nªí¶¤¡A°Ñ¥[®ü¤º¥~­«­n¤jÁÉ¡C¸Ô±¡¥iÂsÄý¡Gwww.hkmos.org¡C

³{¬P´Á¤T¨£³ø

Ū¤å¶×³øPDFª©­±

·s»D±Æ¦æ
¹Ï¶°
µøÀW