רÀûÃû³Æ£ºÒ»ÖÖÄ͸ßÎÂÌú¹µÄÍ»ð²ÄÁϺñ¶È²âÁ¿Æ÷¼°²âÁ¿·½·¨
¼¼ÊõÁìÓò£º
±¾·¢Ã÷ÊôÓÚÁ¶ÌúÁìÓò£¬Éæ¼°Ò»ÖÖ²âÁ¿Ìú¹µÄÍ»ð²ÄÁϲгĺñ¶ÈµÄ×°Öã¬ÓÈÆäÊÇÄÜÔÚ´æ´¢ÌúË®µÄ¸ßÎÂÌú¹µÄÚ½øÐÐ׼ȷ²âÁ¿¡£
±³¾°¼¼Êõ£º
¸ÖÌú³§¸ß¯ÈÛÁ¶Ìú¿óʯÐγɵÄÌúË®ÐèҪͨ¹ýÌú¹³½øÐÐÅÅ·Å¡£¹ýÌúζȴóÓÚ 1534¡ãC£¬Òò´ËÌú¹³ÄÚÐèÒªÓÐÄÍ»ð²ÄÁÏ×ö±£»¤²ã£¬µ«Ëæ×ŹýÌúÁ¿µÄÔö¼ÓºÍʹÓÃʱ¼äµÄÑÓ³¤£¬Ìú¹³ÄÚÄÍ»ð²ÄÁÏ»áÖð½¥±»Ä¥Ëð¡¢ÇÖÊ´µô£¬µ±ÄÍ»ð²ÄÁϼõ±¡µ½Ò»¶¨³Ì¶Èʱ¾ÍÓ¦½øÐÐÄÍ»ð²ÄÁϵÄÐÞ²¹¹¤×÷£¬·ñÔò»áÓ°Ïìµ½¸ß¯µÄÕý³£³öÌúºÍÉõÖÁ³öÏÖÖØ´ó°²È«Ê¹ʡ£Ä¿Ç°£¬¹úÄÚ¸ÖÌú³§Ìú¹µµÄÈÕ³£Î¬»¤µ±ÖУ¬¶ÔÄÍ»ð²ÄÁϲгĺñ¶ÈûÓÐרҵµÄ²âÁ¿¹¤¾ß¡£²âÁ¿Ìú¹µ²Ð³Äºñ¶È²ÉÓõķ½Ê½»ù±¾É϶¼ÊÇÓÃ×ÔÖÆÌú¹÷б²åÈë²âÁ¿µã£¬Æ½ÐÐλÖÃÔÙ·ÅÒ»¸ùÌú¹÷£¬½«½»²æµãÓ÷۱ʱêʾһÏ£¬È»ºó½«Á½¸ùÌú¹÷²¢ÁзÅÔÚÒ»Æð£¬´Ó·Û±Ê±êʶλÖÿªÊ¼¿ÉÒÔ²âµÃÁ½¸ùÌú¹÷µÄ³¤¶È²î£¬ÓÃÄÍ»ð²ÄÁÏ×ܺñ¶È¼õÈ¥¸Ã²îÖµ¾ÍÊÓΪ²Ð³Äºñ¶È¡£ÕâÑùµÄ²âÁ¿·½·¨ºÜ²»¿ÆÑ§£¬ÎÞ·¨×¼È·µÄ¼ÆËã³ö²Ð³Äºñ¶È¾Í²»ÄÜÈ·¶¨³öÌú¹µÏ´μìÐÞµÄʱ¼ä£¬´Ó¶ø²»ÀûÓÚ×¼È·ÖÆ¶¨Ìú¹µµÄ¼ìÐ޼ƻ®£»Í¬Ê±ÕâÖÖ²âÁ¿¹¤¾ß²»×¨Òµ£¬Ê¹ÓÃÆðÀ´Ò²²»·½±ã£¬¶øÇÒ²âÁ¿ÓõĸֹÜʹÓÃÒ»´Î¾ÍÈÛ»¯ÁË£¬²»ÄÜÖØ¸´ÀûÓá£
·¢Ã÷ÄÚÈÝ
ΪÁ˿˷þÏÖÓÐÌú¹µÄÍ»ð²ÄÁϲгIJâÁ¿·½·¨²»×¼È·£¬½â¾öûÓÐרҵ²âÁ¿¹¤¾ßµÄÎÊÌâ¡£±¾·¢Ã÷ÌṩһÖÖ¿ÉÒÔ׼ȷ²âÁ¿Ìú¹µÄÍ»ð²ÄÁϲгĺñ¶È²¢¿ÉÖØ¸´ÀûÓõÄÌú¹µÄÍ»ð²ÄÁϺñ
¶È²âÁ¿¹¤¾ß¡£Ò»ÖÖÄ͸ßÎÂÌú¹µÄÍ»ð²ÄÁϺñ¶È²âÁ¿Æ÷¼°²âÁ¿·½·¨£¬¸Ã²âÁ¿Æ÷ÊÇÓÉÄÍ»ð²ÄÁÏ(2)¡¢Ö§¼Ü(4)¡¢²âÁ¿¸Ë(5)¡¢½Ç¶ÈÆ÷(6)¡¢Ì×¹Ü(7)£¬½ô¹ÌÂÝ˨(8)£¬»î¶¯ÂÝ˨(9)¡¢Á´½Ó¸Ë(10)×é³É¡£ ÄÍ»ð²ÄÁϢƹ̶¨ÔÚ²âÁ¿¸Ë(5)µÄ¶ËÍ·£¬²âÁ¿¸Ë(5)ºÍÖ§¼Ü(4)Ö®¼äͨ¹ýÁ´½Ó¸Ë(10)Á¬½Ó£¬ »î¶¯ÂÝ˨(9)°²×°ÔÚÁ´½Ó¸Ë(10)ÉÏ£¬²âÁ¿¸Ë( ºÍÖ§¼Ü(4)Ö®¼ä¿ÉÒÔͨ¹ý»î¶¯ÂÝ˨(9)»î¶¯£¬²âÁ¿¸Ë(5)ºÍÖ§¼Ü¢ÈÖ®¼äµÄ¼Ð½Ç¿ÉÒÔͨ¹ý½Ç¶ÈÆ÷(6)¶Á³ö¡£Ö§¼Ü(4)¿Éͨ¹ýÌ×¹Ü(7) µ÷½Ú¸ßµÍ£¬²¢¿ÉÓɽô¹ÌÂÝ˨(8)¹Ì¶¨¡£±¾·¢Ã÷½â¾öÆä¼¼ÊõÎÊÌâËù²ÉÓõļ¼ÊõÔÀíÊDzâÁ¿¸ËÒ»¶ËÓÃÄÍ»ð²ÄÁϰü¹ü£¬ÔÚ¸ßÎÂÌúË®µÄ³å»÷ϱ£»¤²âÁ¿¸Ë£»ÁíÒ»¶Ë×°ÉÏÒ»¸ö½Ç¶ÈÆ÷£¬ÓÃÓÚ²âÁ¿²âÁ¿¸ËÓëÖ§¼Ü(4)Ö®¼äµÄ¼Ð½Ç¡£Ìú¹µµÄÄÍ»ð²ÄÁϲгĺñ¶È¾Í¿ÉÓÉX = A-B-CXCOS ¦Á·½·¨Ëã³ö¡£XΪÌú¹µ²Ð³Äºñ¶È£¬AΪ²âÁ¿Æ÷Ö§¼ÜÓëÌú¹µ¶ÔÃæ¸Ö°åµÄ¾àÀ룬BΪÁ´½Ó¸Ë³¤¶È£¬Á´½Ó¸Ë³¤¶ÈΪ²âÁ¿¸ËµÄ³¤¶ÈµÄ-3%£¬CΪ²âÁ¿¸ËµÄ³¤¶È(¹Ì¶¨Öµ)£¬¦ÁΪ½Ç¶ÈÆ÷²âµÃµÄ²âÁ¿¸ËÓëÖ§¼Ü(4)Ö®¼äµÄ¼Ð½Ç¡£±¾·¢Ã÷ÓŵãÊÇ£¬¿ÉÒÔÔÚ´æ´¢ÓдóÁ¿¸ßÎÂÌúË®µÄÇé¿öÏ£¬¶ÔÌú¹µÁ½²àÄÍ»ð²ÄÁϲгĺñ¶È½øÐÐʵʱ¼à²â£¬ÓÃÒÔÅжÏÄÍ»ð²ÄÁϵļìÐÞʱ¼ä£¬²¢¶Å¾øÒòÅжÏʧÎó¶øÔì³ÉµÄû±ØÒª¼ìÐÞ»òÖØ´ó°²È«Ê¹ʵijöÏÖ¡£
ͼ1Ϊʩ¹¤ÍêÄÍ»ð²ÄÁÏÉÐδͶÈëʹÓÃʱµÄÌú¹µ½ØÃæÍ¼£»Í¼2ΪÄÍ»ð²ÄÁÏÊܵ½Ä¥ËðºÍÇÖÊ´ºóµÄÌú¹µ½ØÃæÍ¼£»Í¼3Ϊ²Ð³Äºñ¶È²âÁ¿Æ÷ͼ4Ϊͼ3ÔÚI´¦µÄ¾Ö²¿·Å´óͼ£¬ÏÔʾÁË½Ç¶ÈÆ÷´¦µÄ½á¹¹£»Í¼5²âÁ¿Æ÷¹¤×÷ʾÒâͼ£»Í¼ÖÐ1-Ìú¹µÍâ¸Ö°å£¬2-ÄÍ»ð²ÄÁÏ£¬3-ÌúË®£¬4-Ö§¼Ü£¬5-²âÁ¿¸Ë£¬6-½Ç¶ÈÆ÷£¬7-Ì׹ܣ¬ 8-½ô¹ÌÂÝ˨£¬9-»î¶¯ÂÝ˨£¬10-Á´½Ó¸Ë¡£
¾ßÌåʵʩÀý·½Ê½ÔÚͼ3ºÍͼ4ÖУ¬²âÁ¿Æ÷ÓÉÄÍ»ð²ÄÁÏ(2)¡¢Ö§¼Ü(4)¡¢²âÁ¿¸Ë(5)¡¢½Ç¶ÈÆ÷(6)¡¢Ì×¹Ü (7)£¬½ô¹ÌÂÝ˨(8)£¬»î¶¯ÂÝ˨(9)¡¢Á´½Ó¸Ë(10)×é³É¡£ÄÍ»ð²ÄÁÏO)¹Ì¶¨ÔÚ²âÁ¿¸Ë(5)µÄ¶ËÍ·£¬²âÁ¿¸Ë(5)ºÍÖ§¼Ü¢ÈÖ®¼ä¿ÉÒÔͨ¹ý»î¶¯ÂÝ˨(9)»î¶¯£¬Æä¼Ð½Ç¿ÉÒÔͨ¹ý½Ç¶ÈÆ÷(6)¶Á³ö¡£Ö§¼Ü(4)¿Éͨ¹ýÌ×¹Ü(7)µ÷½Ú¸ßµÍ£¬²¢¿ÉÓɽô¹ÌÂÝ˨(8)¹Ì¶¨¡£ÔÚͼ5ÖУ¬Ê¹ÓÃʱ£¬ÏÈÑ¡¶¨ÐèÒª²âÁ¿ÄÍ»ð²ÄÁϺñ¶ÈµÄ²¿Î»£¬Ö§ºÃ²âÁ¿Æ÷£¬Í¨¹ýÌ×¹Ü (7)µ÷½Ú²âÁ¿¸Ë( µÄ¸ß¶È£¬½«²âÁ¿¸Ë( ÉìÈëÌúË®C3)ÖеÄÔ¤¶¨Î»Ö᣶Á³ö´Ëʱ½Ç¶ÈÆ÷(6) ¶ÁÊý¦Á£¬²¢²âÁ¿Ö§¼Ü(4)µ½Ìú¹µ¶ÔÃæ¸Ö°å(1)µÄ¾àÀ릡£¬Ìú¹µµÄÄÍ»ð²ÄÁϲгĺñ¶È¾Í¿ÉÓÉX =A-B-CXCOS ¦Á·½·¨Ëã³ö£¬ÆäÖÐBΪÁ´½Ó¸Ë³¤¶È£¬Á´½Ó¸Ë³¤¶ÈΪ²âÁ¿¸ËµÄ³¤¶ÈµÄ1 % _3%£¬ CΪ²âÁ¿¸ËµÄ³¤¶È(¹Ì¶¨Öµ)¡£
ȨÀûÒªÇó
1.Ò»ÖÖÄ͸ßÎÂÌú¹µÄÍ»ð²ÄÁϺñ¶È²âÁ¿Æ÷£¬ÆäÌØÕ÷ÔÚÓÚÓÉÄÍ»ð²ÄÁÏO)¡¢Ö§¼Ü¡¢²âÁ¿¸Ë(5)¡¢½Ç¶ÈÆ÷(6)¡¢Ì×¹Ü(7)£¬½ô¹ÌÂÝ˨(8)£¬»î¶¯ÂÝ˨(9)Á´½Ó¸Ë(10)×é³É£»ÄÍ»ð²ÄÁÏ(2) ¹Ì¶¨ÔÚ²âÁ¿¸Ë(5)µÄ¶ËÍ·£¬²âÁ¿¸Ë(5)ºÍÖ§¼Ü(4)Ö®¼äͨ¹ýÁ´½Ó¸Ë(10)Á¬½Ó£¬»î¶¯ÂÝ˨(9) °²×°ÔÚÁ´½Ó¸Ë(10)ÉÏ£¬²âÁ¿¸Ë(5)ºÍÖ§¼Ü(4)Ö®¼äµÄ¼Ð½Çͨ¹ý½Ç¶ÈÆ÷(6)¶Á³ö£»Ö§¼Ü(4) ͨ¹ýÌ×¹Ü(7)µ÷½Ú¸ßµÍ£¬²¢Óɽô¹ÌÂÝ˨(8)¹Ì¶¨¡£
2.Ò»ÖÖ²ÉÓÃȨÀûÒªÇó1ËùÊöµÄ²âÁ¿¹¤¾ßµÄ²âÁ¿·½·¨£¬ÆäÌØÕ÷ÔÚÓÚ²âÁ¿Ìú¹³ÄÍ»ð²ÄÁϲгĺñ¶ÈÊÇͨ¹ý²âÁ¿²âÁ¿¸ËÓëÖ§¼Ü(4)Ö®¼äµÄ¼Ð½Ç¶øµÃµ½µÄ£¬Ìú¹µµÄÄÍ»ð²ÄÁϲгĺñ¶ÈX = A-B-CXCOS ¦Á£¬XΪÌú¹µ²Ð³Äºñ¶È£¬AΪ²âÁ¿Æ÷Ö§¼ÜÓëÌú¹µ¶ÔÃæ¸Ö°åµÄ¾àÀ룬BΪÁ´½Ó¸Ë³¤¶È£¬Á´½Ó¸Ë³¤¶ÈΪ²âÁ¿¸ËµÄ³¤¶ÈµÄ1 % -3%£¬CΪ²âÁ¿¸ËµÄ³¤¶È£¬¦ÁΪ½Ç¶ÈÆ÷²âµÃµÄ²âÁ¿¸ËÓëÖ§¼Ü(4)Ö®¼äµÄ¼Ð½Ç¡£
È«ÎÄÕªÒª
Ò»ÖÖÄ͸ßÎÂÌú¹µÄÍ»ð²ÄÁϺñ¶È²âÁ¿Æ÷¼°²âÁ¿·½·¨£¬ÊôÓÚÁ¶ÌúÁìÓò¡£²âÁ¿Æ÷ÓÉÄÍ»ð²ÄÁÏ(2)¡¢Ö§¼Ü(4)¡¢²âÁ¿¸Ë(5)¡¢½Ç¶ÈÆ÷(6)¡¢Ì×¹Ü(7)£¬½ô¹ÌÂÝ˨(8)£¬»î¶¯ÂÝ˨(9)¡¢Á´½Ó¸Ë(10)×é³É£»ÄÍ»ð²ÄÁÏ(2)¹Ì¶¨ÔÚ²âÁ¿¸Ë(5)µÄ¶ËÍ·£¬²âÁ¿¸Ë(5)ºÍÖ§¼Ü(4)Ö®¼äͨ¹ýÁ´½Ó¸Ë(10)Á¬½Ó£¬²âÁ¿¸Ë(5)ºÍÖ§¼Ü(4)Ö®¼äµÄ¼Ð½Çͨ¹ý½Ç¶ÈÆ÷(6)¶Á³ö£»Ö§¼Ü(4)ͨ¹ýÌ×¹Ü(7)µ÷½Ú¸ßµÍ£¬²¢Óɽô¹ÌÂÝ˨(8)¹Ì¶¨¡£Ìú¹³ÄÍ»ð²ÄÁϲгĺñ¶ÈÊÇͨ¹ý²âÁ¿²âÁ¿¸ËÓëÖ§¼Ü(4)Ö®¼äµÄ¼Ð½Ç¶øµÃµ½µÄ£¬Ìú¹µµÄÄÍ»ð²ÄÁϲгĺñ¶ÈX£½A-B-C¡ÁCOS¦Á¡£±¾·¢Ã÷¿ÉÒÔÔÚ´æ´¢ÓдóÁ¿¸ßÎÂÌúË®µÄÇé¿öÏ£¬¶ÔÌú¹µÁ½²àÄÍ»ð²ÄÁϲгĺñ¶È½øÐÐʵʱ¼à²â£¬¶Å¾øÒòÅжÏʧÎó¶øÔì³ÉµÄû±ØÒª¼ìÐÞ»òÖØ´ó°²È«Ê¹ʵijöÏÖ¡£
Îĵµ±àºÅG01B5/06GK102252577SQ20111010172
¹«¿ªÈÕ2011Äê11ÔÂ23ÈÕ ÉêÇëÈÕÆÚ2011Äê4ÔÂ22ÈÕ ÓÅÏÈȨÈÕ2011Äê4ÔÂ22ÈÕ
·¢Ã÷ÕßÀîȽȽ, Íõ°²½Ü, ñ¼ÇàÈÙ ÉêÇëÈË:±±¾©Í¨´ïÄͻ𹤳̼¼ÊõÓÐÏÞ¹«Ë¾, ͨ´ïÄÍ»ð¼¼Êõ¹É·ÝÓÐÏÞ¹«Ë¾