ϰÌâ ÏÂÔØ±¾ÎÄ

¹¤×÷ ÈËÔ± ÈËÔ±¼× ÈËÔ±ÒÒ ÈËÔ±±û ÈËÔ±¶¡ ÈËÔ±Îì A 12 8 7 15 4 B 7 9 17 14 10 C 9 6 12 6 7 D 7 6 14 6 10 E 9 6 9 10 9 15 ˼¿¼Ìâ

£¨1£© ÏßÐԹ滮ÎÊÌâÔÚÊýѧģÐ͵ÄÐÎʽ¡¢¿ÉÐÐÓòµÄ×é³ÉºÍ×îÓŵãµÄλÖõȷ½ÃæÓë·ÇÏßÐÔ¹æ

»®ÎÊÌâÓÐʲô²»Í¬£¿

£¨2£© ÈçºÎÀí½âÏßÐԹ滮ÎÊÌâµÄÇó½âÆäʵ¾ÍÊÇ¿ÉÐÐÓò¶¥µãµÄת»»·½·¨£¿ £¨3£© ÏßÐԹ滮µÄ»ù½â¡¢»ù¿ÉÐнâºÍ×îÓŽâÖ®¼äÓÐʲô¹ØÏµ£¿

£¨4£© ÔÚ½âµÃת»»ÖУ¬ÈçºÎ±£Ö¤´ÓÒ»¸ö»ù¿ÉÐнâת»»µÃµ½µÄÈÔÈ»ÊÇÒ»¸ö»ù¿ÉÐн⣿ £¨5£© ÔÚ½âµÄת»»ÖУ¬ÈçºÎ±£Ö¤Ä¿±êº¯ÊýµÄÖµ²»½öϽµ£¬¶øÇÒϽµµÃ×î¶à£¿ £¨6£© ÔÚµ¥´¿ÐÎËã·¨ÖУ¬ÈçºÎÑ¡ÔñÖ÷Ôª£¿Ö÷Ôª¿ÉÒÔÊǸºµÄÂð£¿

£¨7£© ÏßÐԹ滮ÎÊÌâµÄÔ¼ÊøÌõ¼þÊǵÈÊ½Ô¼ÊøÊ±£¬ÈçºÎͨ¹ý½¨Á¢¸¨Öú¹æ»®ÎÊÌâµÄÒ»¸ö³õʼ»ù

±¾¿ÉÐн⣿

£¨9£© ¼òÊö¶Ôżµ¥´¿Ð稵ÄÓŵ㡢ÊÊÓÃÌõ¼þºÍÇó½â²½Öè¡£ (10) ÊÔ´Ó¾­¼ÃÉϽâÊͶÔżÎÊÌâºÍ¶Ôż±äÁ¿µÄº¬Òå¡£ £¨11£©·ÖÖ§¶¨½ç·¨Çó½â¼«´ó»¯ÎÊÌâʱ£¬ÈκÎÒ»¸ö¿ÉÐнâµÄÄ¿±êº¯ÊýÊÇ·ñ¶¼ÊǸÃÎÊÌâÄ¿±êº¯ÊýÖµµÄϽ磿 16 °¸ÀýÁ·Ï°

ÌâÄ¿£ºÄ¾²ÄµÄ´¢´æºÍÊÕ¹ºÊÛ³ö×îÓÅ»¯ÎÊÌâ

ÎÊÌâ±³¾°£ºÔÚʵ¼ÊµÄÏúÊÛÄ£ÐÍÖУ¬ÍùÍù»áÅöµ½Ò»ÀàÓÉÓÚÿ¸öʱÆÚµÄÐèÇóºÍ¹©¸øÁ¿²»Í¬£¬¶øÐèÒª¶Ú»ý»õÎïÔÚºóÆÚ¸ß¼Û³öÊÛµÄÎÊÌ⣬ÓÉÓÚÊܵ½´¢´æµÄ³É±¾£¬´¢´æµÄ¿Õ¼ä£¬Ã¿¸öʱÆÚµÄÏúÁ¿µÈ¸÷·½ÃæµÄÏÞÖÆ£¬Ê¹Õâ¸öÎÊÌâÏÔµÃÓú¼Ó¸´ÔÓ¡£

Ä¿±ê£ºÒªÇó¾ÍÒ»¸öʵ¼ÊµÄľ²ÄµÄ´¢´æºÍÊÕ¹ºÊÛ³öµÄÎÊÌ⣬¼ò»¯¸ÃÄ£ÐÍ£¬Ê¹ÓÃÏßÐԹ滮µÄ·½·¨¶ÔÆä½øÐÐÇó½â£¬²¢¶Ô¸÷¸ö²ÎÊý½øÐÐÁéÃô¶È·ÖÎö£¬×îºó¸ø³öºÏÀíµÄ·½°¸¡£ ÎÊÌâÌá³ö£º½­ËÕʡijľ²Ä´¢Ô˹«Ë¾ÓÐÒ»¸ö·Ç³£´óµÄ²Ö¿âÒÔÓÃÀ´´æ´¢ºÍ³öÊÛľ²Ä£¬ÓÉÓÚľ²ÄµÄÿ¼¾¶È¼Û¸ñ²»Í¬£¬¸Ã¹«Ë¾¼Æ»®ÔÚÿ¼¾¶È³õ¹ºÈëľ²Ä£¬¸ù¾Ýʵ¼ÊµÄÊг¡ÐèÇó£¬Ò»²¿·ÖÓÃÓÚ³öÊÛ£¬ÁíÒ»²¿·ÖÔò´æ´¢ÆðÀ´£¬µÈ´ýÒÔºó³öÊÛ¡£

ÒÑÖª¸Ã¹«Ë¾µÄ²Ö¿âµÄ×î´ó´æ´¢Á¿Îª200ÍòÁ¢·½Ã×£¬´¢´æ·ÑÓÃΪ(a+bu)Ôª/ÍòÁ¢·½Ã×£¬ÆäÖÐa=7Íò£¬b=10Íò£¬uΪ´æ´¢µÄʱ¼ä£¨¼¾¶ÈÊý£©¡£ÒÑ֪ÿ¼¾¶ÈµÄÂò½øÂô³ö¼Û¸ñÒÔ¼°Ô¤¼ÆµÄÏúÊÛÁ¿Èç±í1-62Ëùʾ¡£ÓÉÓÚľ²Ä²»ÊÊÒ˳¤ÆÚ´æ´¢£¬ËùÓÐµÄ¿â´æÄ¾²ÄÓ¦¸ÃÓÚÿÄêµÄÇïÌìÄ©ÊÛÍê¡£ ±í1-62 Âò½øÂô³ö¼Û¸ñÒÔ¼°Ô¤¼ÆµÄÏúÊÛÁ¿±í ¼¾¶È Âò½ø¼Û/(ÍòÔª/ÍòÁ¢·½Ã×) ¶¬ ´º ÏÄ Çï 410 430 460 450 Âô³ö¼Û/(ÍòÔª/ÍòÁ¢·½Ã×) 425 440 465 455 Ô¤¼ÆÏúÊÛÁ¿/ÍòÁ¢·½Ã× 100 140 200 160 Ðè½â¾öµÄÎÊÌ⣺

¢ÙÔõôÑùÄÜ»ñµÃ×î´óµÄÀûÈ󣬲¢¸ø³ö¾ßÌåµÄ²ß»®·½°¸¡£

¢ÚÈôÓÉÓÚÊг¡µÄ±ä»¯µ¼ÖÂij¸ö»ò¼¸¸ö¼¾¶ÈµÄÔ¤¼ÆÏúÊÛÁ¿±ä»¯¸ÃÔõôӦ¶Ô£¿

¢Û¹«Ë¾ÎªÁËÀ©Õʿ죬½«¸Ä½¨²Ö¿âÀ©´óÈÝÁ¿£¬ÔڸñíµÄÇé¿öϸÃÈçºÎ¹æ»®£¿ ¢Ü¶Ô¸ÃÎÊÌâºÍÄ£Ðͳ¢ÊÔ½øÐиĽø¡£ ϰ Ìâ 2

1ͼ½â·¨½âÏÂÁÐÄ¿±ê¹æ»®ÎÊÌ⣺

minf?Pd11?P2d2?P3(2d3?d4) s..t x1?x2?d1?d1?40

??x1?x2?d2?d2?50

??????x1?d3??d3??24

??x1?4x2?d4?d4?30

x1?0,x2?0;di?,di??0,i?1,2,3,4

2Óõ¥´¿Ðη¨Çó½âÒÔÏÂÄ¿±ê¹æ»®ÎÊÌâµÄÂúÒâ½â£º £¨1£© minf?Pd11?P2d2?P3(5d3?3d4) s..t x1?x2?d1?d1?80

??x1?x2?d2?d2?90

??????x1?d3??d3??70

??x2?d4?d4?45

x1?0,x2?0;di?,di??0,i?1,2,3,4

£¨2£© minf?P1(d1?d2)?P2d2?P3d4 s..t 4x1?5x2?d1?d1?80

??4x1?2x2?d2?d2?48

??????8x1?10x2?d3??d3??80

??x1?d4?d4?5

x1?0,x2?0;di?,di??0,i?1,2,3,4

3 ÓÃEXCELºÍLINGOÇó½âÀý2-9ºÍ2-10¡£ 4 ˼¿¼Ìâ

£¨1) Ä¿±ê¹æ»®ÓëÏßÐԹ滮Òì֮ͬ´¦£¿

£¨2£©Ä¿±ê¹æ»®Ä£ÐÍÖÐÄ¿±êº¯ÊýÖÐÆ«²î±äÁ¿µÄ±íÊöÐÎʽÓм¸ÖÖ£¿º¬ÒåÊÇʲô£¿ £¨3£©ÓÅÏȼ¶Òò×ÓºÍȨϵÊýµÄ×÷Óã¿ 5 °¸ÀýÁ·Ï°

(1)ij³§Éú²ú¼×¡¢ÒÒÁ½ÖÖ²úÆ·£¬Ã¿¼þÀûÈó·Ö±ðΪ20¡¢30Ôª¡£ÕâÁ½ÖÖ²úÆ·¶¼ÒªÔÚA¡¢B¡¢C¡¢DËÄÖÖÉ豸Éϼӹ¤£¬Ã¿¼þ¼×²úÆ·Ð裬¶øÕâ4ÖÖÉ豸Õý³£Éú²úÄÜÁ¦ÒÀ´ÎΪÿÌì12¡¢8¡¢16¡¢12»úʱ¡£´ËÍ⣬A¡¢BÁ½ÖÖÉ豸ÿÌ컹¿É¼Ó°àÔËÐС£ÊÔÄâ¶©Ò»¸öÂú×ãÏÂÁÐÄ¿±êµÄÉú²ú¼Æ»®£º P1£ºÁ½ÖÖ²úƷÿÌì×ÜÀûÈó²»µÍÓÚ120Ôª£» P2£ºÁ½ÖÖ²úÆ·µÄ²úÁ¿¾¡¿ÉÄܾùºâ£»

P3£ºA¡¢BÉ豸¶¼Ó¦²»³¬¸ººÉ£¬ÆäÖÐAÉ豸ÄÜÁ¦»¹Ó¦³ä·ÖÀûÓã¨A±ÈBÖØÒª3±¶£©¡£ ÒªÇó½¨Á¢Ä£ÐͲ¢ÔËÓÃͼ½â·¨ºÍEXCELÇó½â¡£

(2) ij·ÄÖ¯³§Éú²úÁ½ÖÖ²¼ÁÏ£ºÒÂÁϲ¼Óë´°Á±²¼£¬ÀûÈó·Ö±ðΪÿÃ×1.5¡¢2.5Ôª¡£¸Ã³§Á½°àÉú²ú£¬Ã¿ÖÜÉú²úʱ¼äΪ80Сʱ£¬Ã¿Ð¡Ê±¿ÉÉú²úÈÎÒ»ÖÖ²¼ÁÏ1000Ãס£¸ù¾ÝÊг¡µ÷²é·ÖÎöÖªµÀÿÖÜÏúÁ¿Îª£ºÒÂÁϲ¼45 000Ãס¢´°Á±²¼70 000Ã×£¬ÊÔÄâ¶©Éú²ú¼Æ»®ÒÔÂú×ãÒÔÏÂÄ¿±ê£º

P1£º²»Ê¹²úÆ·ÖÍÏú£»

P2£ºÃ¿ÖÜÀûÈó²»µÍÓÚ225 000Ôª£» P3£º³ä·ÖÀûÓÃÉú²úÄÜÁ¦£¬¾¡Á¿ÉÙ¼Ó°à¡£ ÒªÇó½¨Á¢Ä£ÐͲ¢ÔËÓÃͼ½â·¨Çó½â¡£

£¨3)ÒÑÖª3¸ö¹¤³§Éú²úµÄͬһÖÖ²úÆ·Ð蹩Ӧ4¸ö¿Í»§£¬¸÷³§²úÁ¿¡¢¿Í»§ÐèÇóÁ¿£¬ÒÔ¼°³§»§¼äµ¥Î»ÔË·Ñ£¨°ÙÔª/¶Ö£©¾ßÌåÊý¾Ý¼û±í2-7 ±í2-7

¿Í»§ ¹¤³§ ²úÁ¿/¶Ö B1 B2 B3 B4 A1 5 2 6 7 300 A2 3 4 5 5 4 2 6 3 200 400 A3 ÐèÇóÁ¿200 /¶Ö

100 450 250 ÓñíÉÏ×÷Òµ·¨ÊÔÐÐÇó½âºó·¢ÏÖ£¬ËùµÃ·½°¸½ö¿¼ÂÇ×ÜÔË·Ñ×îÉÙ£¬Éв»·ûºÏÌõ¼þÐí¶àʵ¼ÊÇé¿ö¡£Îª´Ë£¬¹ÜÀí²¿Ãžö¶¨ÖØÐÂѰÇóµ÷ÔË·½°¸ÒÔÂú×ãÏÂÊöÄ¿±ê£º 1£©B4ÎªÖØÒª²¿ÃÅ£¬ËùÐè²úÆ·±ØÐëÈ«²¿Âú×㣻 2£©A3ÖÁÉٵù©¸øB1¸Ã²úÆ·100¶Ö£»

3£©ÎªÍ³¹ËÈ«¾Ö£¬Ã¿¸ö¿Í»§Âú×ãÂʲ»µÍÓÚ80%£» 4£©×ÜÔ˷Ѳ»³¬¹ýÔ­·½°¸µÄ10%£»

5£©ÒòµÀ·ӵ¼·£¬A2ÖÁB4¼äÓ¦¾¡Á¿±ÜÃâ·ÖÅäÔËÁ¿£» 6£©¿Í»§B1ÓëB3µÄËùµÃÁ¿Ó¦Á¦Çó·ûºÏÐèÇóÁ¿±ÈÀý£» ÊÔ½¨Á¢ÆäÊýѧģÐÍ,²¢ÓÃEXCEL»òLINGOÇó½â¡£

ϰ Ìâ3

3.1Çó³öÏÂÁк¯ÊýÔÚ¸ø¶¨µãµÄÒ»½×ºÍ¶þ½×Ì©ÀÕÕ¹¿ªÊ½

£¨1£©f(x)?x1(x1?2)?x2(x2?1),£¨2£©f(x)?x1?x2,3.2ÅжÏÏÂÁÐÎÊÌâÊÇ·ñΪ͹¹æ»®

4222X1?[1.2] X1?[1.1]

(1)f(x)??3x1?x2?2x32,?x1?x2?0?s.t.?x12?x32?0?x,x,x?0?123

22(2)f(x)?x1?x2?2x32,?x1?2x22?9?s.t.?x12?x32?12?x,x,x?0?123322

3.3 Óûƽð·Ö¸î·¨ºÍ¶þ´Î²åÖµ·¨·Ö±ð¼ÆËãf(x)?3x?4x?2µÄ¼«Ð¡µã£¬¸ø¶¨³õÊ¼Çø¼ä[0£¬2]£¬??0.2¡£

*3.4 ÓÃCÓïÑÔ»òMATLAB±àд»Æ½ð·Ö¸î·¨ºÍ¶þ´Î²åÖµ·¨µÄ¼ÆËã³ÌÐò¡£ 3.5 ˼¿¼Ìâ

£¨1£©¶àÔªº¯ÊýÌ©ÀÕ¹«Ê½µÄÒâÒåºÎÔÚ£¿ÆäÖжþ½×µ¼Êý¾ØÕóÓɺÎ×é³É£¬ÓкÎÌØµã£¿