7£®±ß¼Ê±¨³êµÝ¼õ¹æÂÉ·¢Éú×÷ÓõÄǰÌáÌõ¼þÊÇ£¨ £©¡£ A¡¢Á¬ÐøµØÍ¶ÈëijÖÖÉú²úÒªËØ¶ø±£³ÖÆäËûÉú²úÒªËØ²»±ä B¡¢Éú²ú¼¼Êõ¼È¶¨²»¶¨
C¡¢°´±ÈÀýͬʱÔö¼Ó¸÷ÖÖÉú²úÒªËØ D¡¢AºÍB
8£®µ±APPL ΪÕýµ«µÝ¼õʱ£¬MPL £¨ £©¡£
A¡¢µÝ¼õ B¡¢Îª¸º C¡¢ÎªÁã D¡¢ÉÏÊöÈκÎÒ»ÖÖ 9£®ÏÂÁи÷˵·¨ÖдíÎóµÄÊÇ£¨ £©¡£ A¡¢Ö»Òª×ܲúÁ¿¼õÉÙ£¬±ß¼Ê²úÁ¿Ò»¶¨ÊǸºÊý B¡¢Ö»Òª±ß¼Ê²úÁ¿¼õÉÙ£¬×ܲúÁ¿Ò»¶¨Ò²¼õÉÙ
C¡¢Ëæ×ÅijÖÖÉú²úÒªËØÍ¶ÈëÁ¿µÄÔö¼Ó£¬±ß¼Ê²úÁ¿ºÍƽ¾ù²úÁ¿Ôö¼Óµ½Ò»¶¨³Ì¶È½«Ç÷ÓÚϽµ£¬ÆäÖб߼ʲúÁ¿µÄϽµÒ»¶¨ÏÈÓÚÆ½¾ù²úÁ¿×ÊÁϸöÈËÊÕ¼¯ÕûÀí£¬Îð×öÉÌÒµÓÃ; D¡¢±ß¼Ê²úÁ¿ÇúÏßÒ»¶¨ÔÚÆ½¾ù²úÁ¿ÇúÏßµÄ×î¸ßµãÓëÖ®Ïཻ 10£®µÃµ½MCÇúÏßÊÇÓÉ£¨ £©¡£ A¡¢TFCÇúÏßµÄбÂÊ
B¡¢TVCÇúÏßµÄбÂʵ«²»ÊÇTCÇúÏßµÄбÂÊ C¡¢TCÇúÏßµÄбÂʵ«²»ÊÇTVCÇúÏßµÄбÂÊ D¡¢¼ÈÊÇTVCÓÖÊÇTCÇúÏßµÄбÂÊ
11£®Èç¹ûÔö¼ÓÒ»µ¥Î»²úÁ¿Ëù´øÀ´µÄ±ß¼Ê³É±¾´óÓÚ²úÁ¿Ôö¼ÓǰµÄƽ¾ù¿É±ä³É±¾£¬ÄÇÄ©ÔÚ²úÁ¿Ôö¼Óºóƽ¾ù¿É±ä³É±¾£¨ £©¡£×ÊÁϸöÈËÊÕ¼¯ÕûÀí£¬Îð×öÉÌÒµÓÃ; A¡¢¼õÉÙ B¡¢Ôö¼Ó C¡¢²»±ä
D¡¢¶¼ÓпÉÄÜ
12£®µÈ²úÁ¿ÇúÏߣ¨ £©¡£
A¡¢ËµÃ÷ÁËΪÉú²úÒ»¸ö¸ø¶¨µÄ²ú³öÁ¿¶ø¿ÉÄܵĸ÷ÖÖͶÈëÒªËØµÄ×éºÏ B¡¢³ý·ÇµÃµ½ËùÓÐÒªËØµÄ¼Û¸ñ£¬·ñÔò²»ÄÜ»³ö¸ÃÇúÏß C¡¢±íÃ÷ÁËͶÈëÓë²ú³öµÄ¹ØÏµ
D¡¢±íʾÎÞÂÛͶÈëÊýÁ¿ÔõÑù±ä»¯£¬²ú³öÁ¿¶¼ÊÇÒ»¶¨µÄ 13£®µÈ²úÁ¿ÏßÉÏijһµãµÄÇÐÏßµÄбÂʾø¶ÔÖµµÈÓÚ£¨ £©¡£ A¡¢Ô¤ËãÏßµÄбÂÊ B¡¢µÈ³É±¾ÏßµÄбÂÊ C¡¢±ß¼Ê¼¼ÊõÌæ´úÂÊ D¡¢±ß¼Ê±¨³ê
14£®Èô³§ÉÌÔö¼ÓʹÓÃÒ»¸öµ¥Î»µÄÀͶ¯£¬¼õÉÙÁ½¸öµ¥Î»µÄ×ʱ¾£¬ÈÔÄÜÉú²úÏàͬ²ú³ö£¬ÔòMRTSLK
ÊÇ£¨ £©¡£×ÊÁϸöÈËÊÕ¼¯ÕûÀí£¬Îð×öÉÌÒµÓÃ; A¡¢1/2 B¡¢2 C¡¢1 D¡¢4 15£®Òª´ïµ½¹æÄ£±¨³êµÝ¼õ£¬Ó¦¸Ã£¨ £©¡£ A¡¢°´±ÈÀýÁ¬ÐøÔö¼Ó¸÷ÖÖÉú²úÒªËØ
B¡¢Á¬ÐøµØÍ¶ÈëijÖÖÉú²úÒªËØÇÒ±£³ÖÆäËûÉú²úÒªËØ²»±ä C¡¢²»°´±ÈÀýÁ¬ÐøÔö¼Ó¸÷ÖÖÉú²úÒªËØ D¡¢ÒÔÉϾù²»¶Ô
16£®ÔÚÉú²úÕß¾ùºâµãÉÏ£¨ £©¡£
A¡¢µÈ²úÁ¿ÇúÏßÓëµÈ³É±¾ÇúÏßÏàÇÐ B¡¢MRTSLK £½MPL /MPK C¡¢ MPL /PL £½MPL /PK D¡¢ÉÏÊöÇé¿ö¶¼ÕýÈ· 17£®µÈ³É±¾Ï߯½ÐÐÏòÍâÒÆ¶¯±íÃ÷£º£¨ £©¡£ A¡¢²úÁ¿Ìá¸ßÁË B¡¢³É±¾Ôö¼ÓÁË
C¡¢Éú²úÒªËØµÄ¼Û¸ñ°´Ïàͬ±ÈÀýÌá¸ßÁË D¡¢Éú²úÒªËØµÄ¼Û¸ñ°´²»Í¬±ÈÀýÌá¸ßÁË ¶þ¡¢ÅжÏÌâ
1£® µ±ÆäËûÉú²úÒªËØ²»±äʱ£¬Ò»ÖÖÉú²úÒªËØÍ¶ÈëÔ½¶à£¬Ôò²úÁ¿Ô½¸ß¡£ 2. ±ß¼Ê²úÁ¿¿ÉÓÉ×ܲúÁ¿ÏßÉϵÄÈÎÒ»µãµÄÇÐÏßµÄбÂÊÀ´±íʾ¡£ 3. Ö»Òª×ܲúÁ¿¼õÉÙ£¬±ß¼Ê²úÁ¿Ò»¶¨ÊǸºÊý¡£ 4. Èç¹ûÀͶ¯µÄ±ß¼Ê²úÁ¿µÝ¼õ£¬Æäƽ¾ù²úÁ¿Ò²µÝ¼õ¡£
5£®ÔÚÍ¬Ò»Æ½ÃæÍ¼ÉÏ£¬ÈÎÒâÁ½ÌõµÈ²úÁ¿ÏßÒ²¿ÉÒÔÏཻ¡£
6. ¼ÙÈçÒÔÉú²úÒªËØX´úÌæYµÄ±ß¼Ê¼¼ÊõÌæ´úÂʵÈÓÚ3£¬ÕâÒâζ×ÅÕâʱÔö¼Ó1¸öµ¥Î»XËùÔö¼ÓµÄ²úÁ¿£¬µÈÓÚ¼õÉÙ3¸öµ¥Î»YËù¼õÉٵIJúÁ¿¡£×ÊÁϸöÈËÊÕ¼¯ÕûÀí£¬Îð×öÉÌÒµÓÃ; 7. Éú²úÒªËØµÄ±ß¼Ê¼¼ÊõÌæ´úÂʵݼõÊDZ߼ʱ¨³êµÝ¼õ¹æÂÉÔì³ÉµÄ¡£
8. Ëæ×ÅijÉú²úÒªËØÍ¶ÈëÁ¿µÄÔö¼Ó£¬±ß¼Ê²úÁ¿ºÍƽ¾ù²úÁ¿Ôö¼Óµ½Ò»¶¨³Ì¶ÈºóͬʱÇ÷ÓÚϽµ¡£ 9. ±ß¼Ê²úÁ¿ÇúÏßÒ»¶¨ÔÚÆ½¾ù²úÁ¿ÇúÏßµÄ×î¸ßµãÓëËüÏཻ¡£ Èý¡¢¼ÆËãÌâ
1¡¢ÒÑ֪ijÆóÒµµÄÉú²úº¯ÊýΪ£ºQ=5L+12K-2L-K
LµÄ¼Û¸ñPL=3£¬KµÄ¼Û¸ñPK=6£¬×ܳɱ¾TC=160£¬ÊÔÇó¸ÃÆóÒµµÄ×î¼ÑÒªËØ×éºÏ¡£ 2¡¢Éú²úº¯ÊýΪQ=L3/8K5/8£¬¼ÙÈçPL=3Ôª£¬PK=5Ôª£¬Çó²úÁ¿Q=20ʱ£¬×îµÍ×ܳɱ¾¼°L¡¢KÖ®Öµ¡£×ÊÁϸöÈËÊÕ¼¯ÕûÀí£¬Îð×öÉÌÒµÓÃ; 3¡¢ÒÑÖªÉú²úº¯ÊýΪQ=L1/2K1/2£¬Ö¤Ã÷£º £¨1£©¸ÃÉú²úº¯ÊýΪ¹æÄ£±¨³ê²»±ä£»
£¨2£©¸ÃÉú²úº¯ÊýÊܱ¨³êµÝ¼õ¹æÂɵÄÖ§Åä¡£
2
2
µÚÎåÕ ³É±¾ÂÛ
Ò»¡¢µ¥ÏîÑ¡ÔñÌâ
1£®ÓÉÆóÒµ¹ºÂò»ò¹ÍÓ¶ÈκÎÉú²úÒªËØËù·¢ÉúµÄ³É±¾ÊÇÖ¸£¨ £©¡£ A¡¢ÏÔÃ÷³É±¾ B¡¢Òþº¬³É±¾ C¡¢¹Ì¶¨³É±¾ D¡¢¿É±ä³É±¾ 2£®±ß¼Ê³É±¾ÊÇÖ¸£¨ £©¡£
A¡¢×ܳɱ¾³ýÒÔ²úÁ¿ B¡¢Æ½¾ù³É±¾³ýÒÔ²úÁ¿ C¡¢Í¶ÈëµÄÉú²úÒªËØÃ¿Ôö¼ÓÒ»¸öµ¥Î»ËùÔö¼ÓµÄ²úÁ¿ D¡¢Ôö¼ÓÉú²úÒ»µ¥Î»²úÁ¿ËùÔö¼ÓµÄ³É±¾
3£®µ±AC´ïµ½×îµÍµãʱ£¬ÏÂÁУ¨ £©ÊÇÕýÈ·µÄ¡£
A¡¢AVC£½FC B¡¢MC£½AC C¡¢P£½AVC D¡¢P£½MC
4£®Ê¹ÓÃ×ÔÓÐ×ʽðÒ²Ó¦¼ÆËãÀûÏ¢ÊÕÈ룬ÕâÖÖÀûÏ¢´Ó³É±¾½Ç¶È¿´ÊÇ£¨ £©¡£ A¡¢¹Ì¶¨³É±¾ B¡¢Òþº¬³É±¾ C¡¢»á¼Æ³É±¾ D¡¢Éú²ú³É±¾
5£®¶ÔÓ¦Óڱ߼ʱ¨³êµÄµÝÔö½×¶Î£¬STCÇúÏߣ¨ £©¡£
A¡¢ÒÔµÝÔöµÄËÙÂÊÉÏÉý B¡¢ÒÔµÝÔöµÄËÙÂÊϽµ C¡¢ÒԵݼõµÄËÙÂÊÉÏÉý D¡¢ÒԵݼõµÄËÙÂÊϽµ 6£®¶ÌÆÚƽ¾ù³É±¾ÇúÏßΪUÐεÄÔÒòÓ루 £©¡£ A¡¢¹æÄ£±¨³êÓÐ¹Ø B¡¢Íⲿ¾¼ÃÓë²»¾¼ÃÓÐ¹Ø C¡¢ÒªËصı߼ʱ¨³ê±ä»¯ÓÐ¹Ø D¡¢¹Ì¶¨³É±¾Óë¿É±ä³É±¾ËùÕ¼±ÈÖØÓÐ¹Ø 7£®³¤ÆÚ×ܳɱ¾ÇúÏßÊǸ÷ÖÖ²úÁ¿µÄ£¨ £©¡£ A¡¢×îµÍ³É±¾µãµÄ¹ì¼£¡£ B¡¢×îµÍƽ¾ù³É±¾µãµÄ¹ì¼£ C¡¢×îµÍ±ß¼Ê³É±¾µãµÄ¹ì¼£ D¡¢Æ½¾ù³É±¾±ä¶¯µÄ¹ì¼£
8£®Èç¹ûÒ»¸öÆóÒµ´¦ÓÚ¹æÄ£±¨³ê²»±ä½×¶Î£¬ÔòLACÇúÏßÊÇ£¨ £©¡£ A¡¢ÉÏÉýµÄ B¡¢Ï½µµÄ C¡¢´¹Ö±µÄ D¡¢Ë®Æ½µÄ
9£®³¤ÆÚÀ²úÁ¿¼Ó±¶£¬¶øÆ½¾ù³É±¾Ï½µ£¬ÕâÒâζ×Å£¨ £©¡£ A¡¢¹æÄ£¾¼ÃµÄ´æÔÚ B¡¢¹æÄ£²»¾¼ÃµÄ´æÔÚ C¡¢¹æÄ£ÊÕÒæ²»±ä D¡¢ÊÕÒæµÝ¼õ·¢ÉúÁË 10£®LA.CÇúÏߣ¨ £©¡£
A¡¢µ±LMC
¶þ¡¢ÅжÏÕýÎóÌâ
1. Èç¹ûƽ¾ù±ä¶¯³É±¾µÈÓڱ߼ʳɱ¾£¬Ôò±ß¼Ê²úÁ¿µÈÓÚÆ½¾ù²úÁ¿¡£ 2. ¹Ì¶¨³É±¾Óë²úÁ¿µÄ±ä¶¯Î޹ء£
3£®ÔÚ¶ÌÆÚÄÚ¹ÜÀíÈËÔ±µÄ¹¤×ÊÊôÓڿɱä³É±¾¡£
4. LACÇúÏßµÄÉÏÉýÊÇÓɱ߼ʱ¨³êµÝ¼õ¹æÂÉÒýÆðµÄ¡£ 5. ¿É±äÒªËØµÄ±ß¼Ê³É±¾×ÜÊǵÝÔöµÄ¡£
6. ÔÚ×ÜÊÕÒæµÈÓÚ×ܳɱ¾Ê±£¬³§É̵ÄÕý³£ÀûÈóΪÁã¡£
7£®¶ÌÆÚ×ܳɱ¾ÇúÏßÓ볤ÆÚ×ܳɱ¾ÇúÏß¶¼ÊÇ´ÓÔµã³ö·¢ÏòÓÒÉÏ·½ÇãбµÄÒ»ÌõÇúÏß¡£ Èý¡¢¼ÆËãÌâ
1¡¢¼ÙÉè±ß¼Ê³É±¾º¯ÊýÊÇMC=3Q2£8Q+100£¬ÔÚÉú²ú5µ¥Î»²úƷʱ×ܳɱ¾Îª595£¬Çó×ܳɱ¾º¯Êý¡¢Æ½¾ù³É±¾º¯Êý¡¢¿É±ä³É±¾º¯Êý¡£×ÊÁϸöÈËÊÕ¼¯ÕûÀí£¬Îð×öÉÌÒµÓÃ; 2¡¢¶ÔÓÚÉú²úº¯Êý
ÔÚ¶ÌÆÚÖУ¬ÁîPL£½1£¬PK=4£¬K= 4¡£
(1)ÍÆµ¼³ö¶ÌÆÚ×ܳɱ¾¡¢Æ½¾ù³É±¾¡¢Æ½¾ù¿É±ä³É±¾¼°±ß¼Ê³É±¾º¯Êý¡£ (2)Ö¤Ã÷µ±¶ÌÆÚƽ¾ù³É±¾×îСʱ¶ÌÆÚƽ¾ù³É±¾ºÍ±ß¼Ê³É±¾ÏàµÈ
µÚ6Õ ÍêÈ«¾ºÕùÊг¡
Ò»¡¢µ¥ÏîÑ¡ÔñÌâ
1¡¢ÍêÈ«¾ºÕùµÄÊг¡ÊÇÖ¸£¨ £©
(A)Êг¡²ÎÓëÕߵĹºÏúÁ¿Ö»Õ¼Õû¸öÊг¡½»Ò×Á¿µÄ¼«Ð¡Ò»²¿·Ö (B)Êг¡²ÎÓëÕßÖ»ÄܽÓÊܼ۸ñ£¬¶ø²»ÄÜÓ°Ïì¼Û¸ñ (C)½»Ò×µÄÉÌÆ·ÊÇͬÖ浀 (D)ÒÔÉÏÈ«¶Ô
2¡¢ÔÚÍêÈ«¾ºÕùÊг¡ÉÏ£¬³§ÉÌ¶ÌÆÚ¾ùºâÌõ¼þÊÇ£¨ £©
(A)P£½AR (B)P£½MR (C)P£½MC (D)P£½AC 3¡¢ ÔÚMR=MCµÄ¾ùºâ²úÁ¿ÉÏ£¬ÆóÒµ£º£¨ £© (A)±ØÈ»µÃµ½×î´óÀûÈó£» (B)²»¿ÉÄÜ¿÷Ë𣻠(C)±ØÈ»µÃµ½×îС¿÷Ëð£»
(D)Èô»ñÀûÈó£¬ÔòÀûÈó×î´ó£¬Èô¿÷Ëð£¬Ôò¿÷Ëð×îС¡£
4¡¢ Èç¹ûÔÚ³§ÉÌµÄ¶ÌÆÚ¾ùºâ²úÁ¿ÉÏ£¬ARСÓÚSAC£¬µ«´óÓÚAVC£¬Ôò³§ÉÌ£º£¨ £© (A)¿÷Ëð£¬Á¢¼´Í£²ú£» (B)¿÷Ë𣬵«¼ÌÐøÉú²ú£» (C)¿÷Ëð£¬Éú²ú»ò²»Éú²ú¶¼¿ÉÒÔ£» (D)»ñµÃÕý³£ÀûÈ󣬼ÌÐøÉú²ú¡£
5¡¢ ÔÚ³§É̵ÄÍ£Ö¹ÓªÒµµãÉÏ£¬Ó¦¸ÃÓУº£¨ £© (A) AR=AVC£» (B)×Ü¿÷ËðµÈÓÚTFC£» (C) P=AVC£»
(D)ÒÔÉÏ˵·¨¶¼¶Ô¡£
6¡¢ÍêÈ«¾ºÕùÊг¡µÄ³§ÉÌ¶ÌÆÚ¹©¸øÇúÏßÊÇÖ¸£¨ £©¡£
(A)AVC£¾MCÖеÄÄDz¿·ÖAVCÇúÏß (B)AC£¾MCÖеÄÄDz¿·ÖACÇúÏß (C).MC¡ÝAVCÖеÄÄDz¿·ÖMCÇúÏß (D) MC¡ÝACÖеÄÄDz¿·ÖMCÇúÏß 7¡¢ ÔÚÍêÈ«¾ºÕùÊг¡³§É̵ij¤ÆÚ¾ùºâ²úÁ¿ÉϱØÈ»ÓУº£¨ £© (A) MR=LMC¡ÙSMC£¬Ê½ÖÐMR=AR=P£» (B) MR=LMC=SMC¡ÙLAC£¬Ê½ÖÐMR=AR=P£» (C) MR=LMC=SMC=LAC¡ÙSAC£¬Ê½ÖÐMR=AR=P£» (D) MR=LMC=SMC=LAC=SAC£¬Ê½ÖÐMR=AR=P¡£ 8¡¢ µ±Ò»¸öÍêÈ«¾ºÕùÐÐҵʵÏÖ³¤ÆÚ¾ùºâʱ£¬Ã¿¸öÆóÒµ£º£¨ £© (A)ÏÔÐԳɱ¾ºÍÒþÐԳɱ¾¶¼µÃµ½²¹³¥£» (B)ÀûÈó¶¼ÎªÁ㣻
(C)ÐÐÒµÖÐûÓÐÈκγ§ÉÌÔÙ½ø³ö£» (D)ÒÔÉÏ˵·¨¶¼¶Ô¡£
9¡¢ Èç¹ûÔÚ¾ºÕùÊг¡µÄ³§ÉÌÃæÁٱ߼ÊÊÕÒæ´óÓڱ߼ʳɱ¾µÄ¾ÖÃæ£¬£¨ £© (A)ÄÇô³§ÉÌÔö¼Ó²úÁ¿±ã»áÔö¼ÓÀûÈó£» (B)ÄÇô³§ÉÌÔö¼Ó²úÁ¿±ã»á¼õÉÙÀûÈó£» (C)ÄÇô³§É̼õÉÙ²úÁ¿±ã»áÔö¼ÓÀûÈó£» (D)ÄÇô³§ÉÌÔö¼Ó²úÁ¿ÀûÈ󲻱䡣