B£®Ã¿ÖÖÉÌÆ·µÄ×ÜЧÓÃÏàµÈ
C£®Ã¿ÖÖÉÌÆ·µÄÌæ´úЧӦµÈÓÚÊÕÈëЧӦ D£®Ëù¹ºÂòµÄÉÌÆ·µÄ±ß¼ÊЧÓÃÏàµÈ
15£®ÉÌÆ·¼Û¸ñ±ä»¯ÒýÆðµÄÊÕÈëЧӦ£¬±íÏÖΪÏàÓ¦µÄÏû·ÑÕߵľùºâµãB A£®ÑØ×ÅÔÓеÄÎÞ²îÒìÇúÏßÔ˶¯ B£®Ô˶¯µ½ÁíÒ»ÌõÎÞ²îÒìÇúÏßÉÏ C£®²»±ä D£®²»¹æÔò±ä¶¯
16£®ÉÌÆ·¼Û¸ñ±ä»¯ÒýÆðµÄÌæ´úЧӦ£¬±íÏÖΪÏàÓ¦µÄÏû·ÑÕߵľùºâµãA A£®ÑØ×ÅÔÓеÄÎÞ²îÒìÇúÏßÔ˶¯ B£®Ô˶¯µ½ÁíÒ»ÌõÎÞ²îÒìÇúÏßÉÏ C£®²»±ä D£®²»¹æÔò±ä¶¯
17£®Ò»°ãÇé¿öÏ£¬ÉÌÆ·µÄÐèÇóÁ¿ÓëÆä¼Û¸ñ³Ê·´·½Ïò±ä¶¯£¬ÕâÊÇÒòΪC A£®ÊÕÈëЧӦµÄ×÷ÓÃ555 B£®Ìæ´úЧӦµÄ×÷ÓÃ
C£®ÊÕÈëЧӦÓëÌæ´úЧӦͬʱ·¢Éú×÷Óà D£®ÉÏÊö´ð°¸¾ù²»ÕýÈ·
18£®µÍµµÎïÆ·¼Û¸ñϽµ£¬ÆäÐèÇóÁ¿55C A£®Ôö¼Ó
B£®¼õÉÙ
C£®Ìæ´úЧӦµÄЧ¹û´óÓÚÊÕÈëЧӦµÄЧ¹ûʱÔö¼Ó D£®Ìæ´úЧӦµÄЧ¹ûСÓÚÊÕÈëЧӦµÄЧ¹ûʱÔö¼Ó 19£®ÏÂÃæ¹ØÓÚ¼ª·ÒÎïÆ·µÄ˵·¨ÕýÈ·µÄÊÇ ABD A£®Ìæ´úЧӦºÍ¼Û¸ñ³Ê·´·½Ïò±ä¶¯ B£®ÊÕÈëЧӦºÍ¼Û¸ñ³Êͬ·½Ïò±ä¶¯ C£®Ìæ´úЧӦµÄЧ¹û´óÓÚÊÕÈëЧӦ D£®Ìæ´úЧӦµÄЧ¹ûСÓÚÊÕÈëЧӦ
1£®ÔÚÉú²ú¼¼Êõˮƽ²»±äµÄÌõ¼þÏ£¬Éú²úͬһ²úÁ¿µÄÁ½ÖÖ²»Í¬ÒªËØÍ¶ÈëËùÓв»Í¬×éºÏ¹¹³ÉµÄÇúÏßÊÇ£¨ B£© A£®ÎÞ²îÒìÇúÏß B£®µÈ²úÁ¿ÇúÏß C£®×ܲúÁ¿ÇúÏß D£®±ß¼Ê²úÁ¿ÇúÏß 2£®µ±ÀͶ¯µÄ×ܲúÁ¿Ï½µÊ±£¬»á³öÏÖ£¨AD £© A£®Æ½¾ù²úÁ¿ÊǵݼõµÄ B£®Æ½¾ù²úÁ¿ÎªÁã C£®±ß¼Ê²úÁ¿ÎªÁã D£®±ß¼Ê²úÁ¿Îª¸º
3£®¶ÔÓÚÒ»ÖֿɱäÉú²úÒªËØµÄÉú²úº¯Êý¶øÑÔ£¬µ±×ܲúÁ¿´ïµ½×î´óÖµ¶ø¿ªÊ¼µÝ¼õʱ£¬±ß¼Ê²úÁ¿£¨ A£© A£®µÝ¼õÇұ߼ʲúÁ¿Ð¡ÓÚÁã B£®µÝÔöÇұ߼ʲúÁ¿´óÓÚÁã C£®´óÓÚÆ½¾ù²úÁ¿ D£®µÈÓÚÆ½¾ù²úÁ¿
4£®ÔÚ¶ÌÆÚÉú²úÖУ¬ÀͶ¯µÄ±ß¼Ê²úÁ¿Îª¸ºÊ±£¬Éú²ú´¦ÓÚ£¨ C£© A£®ÀͶ¯Í¶ÈëµÄµÚI½×¶Î B£®ÀͶ¯Í¶ÈëµÄµÚII½×¶Î
C£®ÀͶ¯Í¶ÈëµÄµÚIII½×¶Î D£®×ʱ¾Í¶ÈëµÄµÚI½×¶Î 5£®¼ÙÉèÒ»¿ìµÝ¹«Ë¾×ÜÊÇÓÃ2Ãû˾»ú¿ìµÝ¹«Ë¾µÄÉú²úº¯Êý×î¿ÉÄÜÊÇ£¨ D£©
A£®Q?X?¿ª×Å1̨¿¨³µ?Y?µÄÔËÊ䷽ʽ´Óʯ¼ÒׯÔËËͰü¹üµ½Î人£¬¸Ã
?X?2Y B£®Q?2X?Y
C£®Q?min?2X£¬Y?
D£®Q?1??min?X£¬Y?
?2?6£®ÔÚ¶ÌÆÚÉú²úÖУ¬ÀíÐÔµÄÉú²úÕßÑ¡ÔñµÄÉú²úÇøÓò×ÜÊÇÂú×㣨 BCD£© A£®MPC£®AP?AP B£®MPµÝ¼õ
D£®
?MP?0 APµÝ¼õ
7£®ÔÚ¼¼ÊõˮƽºÍÒªËØ¼Û¸ñ¼È¶¨µÄÌõ¼þÏ£¬ÎÞÊýÌõµÈ²úÁ¿ÇúÏßÓëµÈ³É±¾ÇúÏßµÄÇеãÁ¬½ÓÆðÀ´µÄÇúÏßÊÇ£¨D £©
A£®ÎÞ²îÒìÇúÏß B£®µÈбÏß C£®ÊÕÈëÏû·ÑÇúÏß D£®Éú²úÀ©Õ¹Ïß
8£®¼Ù¶¨µÈ²úÁ¿ÇúÏßÑϸñ͹ÏòԵ㣬Èç¹ûÀͶ¯µÄ¼Û¸ñÉÏÕÇ£¬ÄÇô£¨ C£© A£®ÀͶ¯ºÍ×ʱ¾µÄͶÈë¶¼½«ÉÏÉý B£®ÀͶ¯ºÍ×ʱ¾µÄͶÈë¶¼½«Ï½µ C£®ÀͶ¯Í¶ÈëϽµºÍ×ʱ¾Í¶ÈëÉÏÉý D£®ÀͶ¯Í¶ÈëÉÏÉýºÍ×ʱ¾Í¶ÈëϽµ
9£®Èç¹ûÁ¬ÐøµØÔö¼ÓijÖÖÉú²úÒªËØ£¬ÔÚ×ܲúÁ¿´ïµ½×î´óʱ£¬±ß¼Ê²úÁ¿ÇúÏߣ¨ B£©¡£ A£®ÓëÆ½¾ù²úÁ¿ÇúÏßÏཻ B£®ÓëºáÖáÏཻ C£®¾¹ýÔµã D£®Óë×ÝÖáÏཻ
10£®µÈ²úÁ¿ÇúÏßΪбÂʲ»±äµÄÖ±Ïßʱ£¬¶ÔÓ¦µÄÉú²úº¯ÊýÐÎʽÊÇ£¨ AD£© A£®¹Ì¶¨Ìæ´ú±ÈÀýµÄÉú²úº¯Êý B£®¹Ì¶¨Í¶Èë±ÈÀýµÄÉú²úº¯Êý
C£®
?LK?f?L£¬K??min?£¬?
?uv? D£®
f?L£¬K??aL?bK
11£®²úÁ¿Ôö¼ÓµÄ±ÈÀý´óÓÚ¸÷ÖÖÉú²úÒªËØÔö¼ÓµÄ±ÈÀý£¬ÊôÓÚ£¨A £© A£®¹æÄ£±¨³êµÝÔö B£®¹æÄ£±¨³ê²»±ä C£®¹æÄ£±¨³êµÝ¼õ D£®±ß¼Ê²úÁ¿µÝ¼õ
12£®ÔÚÁ¼ºÃµÄ¼Ù¶¨Ï£¬×îÓÅÉú²úÒªËØ×éºÏµÄÌõ¼þ¿ÉÒÔÊÇ£¨ AD£©
A£®
MPKMPL?PKPL B£®
MPKMPL?PLPK C£®
MULMUK?PLPK D£®MRTSLK?PLPK
13£®Ò»ÆóÒµ²ÉÓÃ×îµÍ³É±¾½øÐÐÉú²ú£¬Èô×ʱ¾µÄ±ß¼Ê²úÁ¿Îª5£¬µ¥Î»×ʱ¾µÄ¼Û¸ñΪ20Ôª£¬µ¥Î»ÀͶ¯µÄ¼Û¸ñΪ8Ôª£¬ÀͶ¯µÄ±ß¼Ê²úÁ¿Îª£¨ B£©
A£®1 B£®2 C£®3 D£®4 14£®¶Ô±ß¼Ê²úÁ¿µÄÀí½â²»ÕýÈ·µÄÊÇ£¨C £© A£®Ã¿Ôö¼ÓÒ»µ¥Î»¿É±äÒªËØÍ¶ÈëÒýÆðµÄ×ܲúÁ¿µÄÔöÁ¿ B£®×îºóÔö¼ÓµÄÄÇÒ»µ¥Î»¿É±äÒªËØÍ¶ÈëÁ¿Ëù¹±Ï×µÄ×ܲúÁ¿ C£®Í¶ÈëÒ»¶¨ÊýÁ¿µÄ¿É±äÒªËØËù»ñµÃµÄ×ܲúÁ¿ D£®Êýѧ±í´ïʽ¿ÉΪMPL??TP ?L15£®ÔÚÏÂÁÐÉú²úº¯ÊýÖУ¬ÊôÓÚ¹æÄ£±¨³êµÝÔöµÄº¯ÊýÊÇ£¨ A£© A£®C£®
f?L£¬K??LK2
B£®
f?L£¬K??K?2L
f?L£¬K??min?aL£¬bK?
D£®
f?L£¬K??L?K1??
16£®ÒÑ֪ijÆóÒµµÄ¶ÌÆÚÉú²úº¯ÊýΪQ×î²»¿ÉÄÜÊÇ£¨ D£©
?35L?8L2?L3£¬Ôò¸ÃÆóÒµ´¦ÓÚºÏÀíͶÈëÇø¼äµÄÒªËØÍ¶ÈëÁ¿
A£® 5 B£® 6 C£® 7 D£® 8
1£®Ä³³§ÉÌÿÄê´ÓÆóÒµµÄ×ÜÊÕÈëÖÐÈ¡³öÒ»²¿·Ö×÷Ϊ×Ô¼º¹ÜÀíÆóÒµµÄ±¨³ê,Õⲿ·Ö±¨³êÊôÓÚBD A£®ÏԳɱ¾ B£®Òþ³É±¾ C£®¾¼ÃÀûÈó D£®Õý³£ÀûÈó
2£®ÆóÒµ¹ºÂòÉú²úÒªËØËùÒýÆðµÄ³É±¾ÎªA A£®ÏԳɱ¾ B£®Òþ³É±¾ C£®¹Ì¶¨³É±¾ D£®»ú»á³É±¾
3£®MCÇúÏß´ïµ½×îµÍʱA A£®MP×î´ó B£®AVC×îС C£®TC×î´ó D£®AC×îС
4£®ÔÚLACÇúÏßÓëijһÌõSACÇúÏßÏàÇÐÖ®µãµÄ²úÁ¿ÉÏ£¬±ØÓÐAC A£®ÏàÓ¦µÄLMCÓëSMCÇúÏßÏཻ֮µã B£®LACÇúÏß´ïµ½×îµÍÖ®µã C£®ÏàÓ¦µÄLTCÓëSTCÇúÏßÏàÇÐÖ®µã D£®LMCÇúÏß´ïµ½×îµÍµã
5£®¶ÔÓ¦Óڱ߼ʱ¨³êµÝ¼õ½×¶Î£¬STCÇúÏßA
A£®ÒÔµÝÔöµÄËÙÂÊÉÏÉý B£®ÒÔµÝÔöµÄËÙÂÊϽµ C£®ÒԵݼõµÄËÙÂÊϽµ D£®ÒԵݼõµÄËÙÂÊÉÏÉý 6£®ÔÚLAC×îµÍµãÉÏABCD A£®LACÓëLMCÏཻ
B£®´ú±í×îÓŹæÄ£µÄSACÇúÏßͨ¹ýLACÇúÏßÓëLMCÇúÏߵĽ»µã C£®´ú±í×îÓŹæÄ£µÄSMCÇúÏßͨ¹ýLACÇúÏßÓëLMCÇúÏߵĽ»µã D£®´ú±í×îÓŹæÄ£µÄSMCÇúÏßͨ¹ý´ú±í×îÓŹæÄ£µÄSACÇúÏßµÄ×îµÍµã 7£®³É±¾º¯ÊýC=f£¨Q£©±íʾµÄÊÇBC
A£®Ö§³öÒ»¶¨³É±¾ÓëÔÚÒ»¶¨¼Û¸ñϵIJ»Í¬ÒªËØ×î´ó¹ºÂòÁ¿¼äµÄ¹ØÏµ B£®³É±¾Óë²úÁ¿Ö®¼äµÄ¹ØÏµ C£®³É±¾Ëæ²úÁ¿µÄ±ä»¯¶ø±ä»¯ D£®²úÁ¿Ëæ×ųɱ¾µÄ±ä»¯¶ø±ä»¯ 8£®SACÇúÏßUÐÎÌØÕ÷µÄÔÒòÔÚÓÚC A£®MUµÝ¼õ¹æÂÉ B£®¹æÄ£¾¼ÃÓë²»¾¼Ã C£®±ß¼Ê±¨³êµÝ¼õ¹æÂÉ D£®ÎÞ·¨È·¶¨ 9£®Æ½¾ù¹Ì¶¨³É±¾D
A£®ÎÞÂÛ²ú³öˮƽ·¢Éúʲô±ä»¯£¬Ëü¶¼²»±ä B£®Ëæ²úÁ¿Ôö¼Ó¶øÔö¼Ó C£®ÇúÏßÊÇUÐ뵀 D£®ÒÔÉ϶¼²»¶Ô
10£®´ÓÔµã³ö·¢µÄÉäÏßÔÚÓëTCÇúÏßÏàÇеIJúÁ¿ÉÏ£¬±ØÓÐBC A£®AVC×îС B£®MC=AC C£®AC×îС D£®MC×îС
11£®¶ÌÆÚÄÚÔÚÿһ²úÁ¿ÉϵÄMCÖµÓ¦¸ÃC
A£®ÊǸòúÁ¿ÉϵÄTVCÇúÏßµÄбÂÊ£¬µ«²»ÊǸòúÁ¿ÉϵÄTCÇúÏßµÄбÂÊ B£®ÊǸòúÁ¿ÉϵÄTCÇúÏßµÄбÂÊ£¬µ«²»ÊǸòúÁ¿ÉϵÄTVCÇúÏßµÄбÂÊ C£®¼ÈÊǸòúÁ¿ÉϵÄTCÇúÏßµÄбÂÊ£¬ÓÖÊǸòúÁ¿ÉϵÄTVCÇúÏßµÄбÂÊ D£®ÒÔÉ϶¼²»¶Ô
12£®ÒÔÏÂ˵·¨ÖÐÕýÈ·µÄÊÇBC A£®MC£¾ACʱ£¬ACϽµ B£®MC£¼ACʱ£¬ACϽµ C£®MC=ACʱ£¬AC´ïµ½×îµÍµã D£®MC=ACʱ£¬AC´ïµ½×î¸ßµã
13£®´ÓÔµã³ö·¢µÄÉäÏßÓëTVCÇúÏßÏàÇеIJúÁ¿ÉÏÓÐABC A£®AVC×îС B£®MC´¦ÓÚÉÏÉý½×¶Î C£®MC=AVC D£®MC×îС