2008ÄêÆÕͨ¸ßµÈѧУÕÐÉúÈ«¹úͳһ¿¼ÊÔ£¨Ìì½ò¾í£©
Êýѧ£¨Àí¹¤Àࣩ
±¾ÊÔ¾í·ÖµÚI¾í£¨Ñ¡ÔñÌ⣩ºÍµÚII¾í£¨·ÇÑ¡ÔñÌ⣩Á½²¿·Ö£¬¹²150·Ö£®¿¼ÊÔÓÃʱ120·ÖÖÓ£®µÚI¾í1ÖÁ2Ò³£¬µÚII¾í3ÖÁ10Ò³£®¿¼ÊÔ½áÊøºó£¬½«±¾ÊÔ¾íºÍ´ðÌ⿨һ²¢½»»Ø£®
×£¸÷λ¿¼Éú¿¼ÊÔ˳Àû£¡
µÚI¾í
×¢ÒâÊÂÏ 1£®´ðµÚI¾íǰ£¬¿¼ÉúÎñ±Ø½«×Ô¼ºµÄÐÕÃû¡¢×¼¿¼ºÅ¡¢¿ÆÄ¿Í¿Ð´ÔÚ´ðÌ⿨ÉÏ£®²¢Ôڹ涨λÖÃÕ³Ìù¿¼ÊÔÓÃÌõÐÎÂ룮 2£®Ã¿Ð¡ÌâÑ¡³ö´ð°¸ºó£¬ÓÃǦ±Ê°Ñ´ðÌ⿨É϶ÔÓ¦ÌâÄ¿µÄ´ð°¸±êºÅÍ¿ºÚ£®ÈçÐè¸Ä¶¯£¬ÓÃÏðÆ¤²Á¸É¾»ºó£¬ÔÙѡͿÆäËû´ð°¸±êºÅ£®´ðÔÚÊÔ¾íÉϵÄÎÞЧ£® 3£®±¾¾í¹²10СÌ⣬ÿСÌâ5·Ö£¬¹²50·Ö£® ²Î¿¼¹«Ê½£º
Èç¹ûʼþA£¬B»¥³â£¬ÄÇô
ÇòµÄ±íÃæ»ý¹«Ê½S?4¦ÐR ÇòµÄÌå»ý¹«Ê½V?2P(A?B)?P(A)?P(B)
43¦ÐR 3Èç¹ûʼþA£¬BÏ໥¶ÀÁ¢£¬ÄÇô
ÆäÖÐR±íʾÇòµÄ°ë¾¶
P(AB)?P(A)P(B)
Ò»¡¢Ñ¡ÔñÌ⣺ÔÚÿСÌâ¸ø³öµÄËĸöÑ¡ÏîÖУ¬Ö»ÓÐÒ»ÏîÊÇ·ûºÏÌâĿҪÇóµÄ£®
i3(i?1)?£¨ £© 1£®iÊÇÐéÊýµ¥Î»£¬
i?1A£®?1
B£®1
C£®?i
D£®i
?x?y¡Ý0£¬?2£®Éè±äÁ¿x£¬yÂú×ãÔ¼ÊøÌõ¼þ?x?y¡Ü1£¬ÔòÄ¿±êº¯Êýz?5x?yµÄ×î´óֵΪ£¨ £©
?x?2y¡Ý1.?A£®2
B£®3
C£®4
D£®5
3£®É躯Êýf(x)?sin?2x??????£¬x?R£¬Ôòf(x)ÊÇ£¨ £© 2?
B£®×îСÕýÖÜÆÚΪ?µÄżº¯Êý D£®×îСÕýÖÜÆÚΪ
A£®×îСÕýÖÜÆÚΪ?µÄÆæº¯Êý C£®×îСÕýÖÜÆÚΪ
?µÄÆæº¯Êý ??µÄżº¯Êý ?4£®Éèa£¬bÊÇÁ½ÌõÖ±Ïߣ¬?£¬?ÊÇÁ½¸öÆ½Ãæ£¬Ôòa?bµÄÒ»¸ö³ä·ÖÌõ¼þÊÇ£¨ £© A£®a??£¬b¡Î?£¬???
B£®a??£¬b??£¬?¡Î?
C£®a??£¬b??£¬?¡Î?
D£®a??£¬b¡Î?£¬???
x2y2?1(m?1)ÉÏÒ»µãPµ½Æä×ó½¹µãµÄ¾àÀëΪ3£¬µ½ÓÒ½¹µãµÄ¾àÀëΪ1£¬5£®ÉèÍÖÔ²2?2mm?1ÔòPµ½ÓÒ×¼ÏߵľàÀëΪ£¨ £© A£®6
B£®2
C£®
1 2D£®
27 7T?xa?x?a?8£¬S6£®É輯ºÏS?xx?2?3£¬
A£®?3?a??1
C£®a¡Ü?3»òa¡Ý?1 7£®É躯Êýf(x)?
B£®?3¡Üa¡Ü?1 D£®a??3»òa??1
????T?R£¬ÔòaµÄȡֵ·¶Î§ÊÇ£¨ £©
1(0¡Üx?1)µÄ·´º¯ÊýΪf?1(x)£¬Ôò£¨ £©
1?xA£®fB£®fC£®fD£®f?1(x)ÔÚÆä¶¨ÒåÓòÉÏÊÇÔöº¯ÊýÇÒ×î´óֵΪ1 (x)ÔÚÆä¶¨ÒåÓòÉÏÊǼõº¯ÊýÇÒ×îСֵΪ0 (x)ÔÚÆä¶¨ÒåÓòÉÏÊǼõº¯ÊýÇÒ×î´óֵΪ1 (x)ÔÚÆä¶¨ÒåÓòÉÏÊÇÔöº¯ÊýÇÒ×îСֵΪ0
?1?1?18£®ÒÑÖªº¯Êýf(x)????x?1£¬x?0£¬Ôò²»µÈʽx?(x?1)f(x?1)¡Ü1µÄ½â¼¯ÊÇ£¨ £©
x?1£¬x¡Ý0£¬??C£®?xx¡ÜA£®x?1¡Üx¡Ü2?1
?B£®xx¡Ü1
D£®x?2?1¡Üx¡Ü2?1
??2?1
?
????ÉÏÊÇÔöº¯Êý£®Áî9£®ÒÑÖªº¯Êýf(x)ÊǶ¨ÒåÔÚRÉϵÄżº¯Êý£¬ÇÒÔÚÇø¼ä?0£¬¡Þ2??5??5?????a?f?sin?£¬b?f?cos?£¬c?f?tan?£¬Ôò£¨ £©
7?7?7????A£®b?a?c B£®c?b?a C£®b?c?a D£®a?b?c
10£®ÓÐ8ÕÅ¿¨Æ¬·Ö±ð±êÓÐÊý×Ö1£¬2£¬3£¬4£¬5£¬6£¬7£¬8£¬´ÓÖÐÈ¡³ö6ÕÅ¿¨Æ¬ÅųÉ3ÐÐ2ÁУ¬ÒªÇó3ÐÐÖнöÓÐÖмäÐеÄÁ½ÕÅ¿¨Æ¬ÉϵÄÊý×ÖÖ®ºÍΪ5£¬Ôò²»Í¬µÄÅÅ·¨¹²ÓУ¨ £© £®£®A£®1344ÖÖ
B£®1248ÖÖ
C£®1056ÖÖ
D£®960ÖÖ
2008ÄêÆÕͨ¸ßµÈѧУÕÐÉúÈ«¹úͳһ¿¼ÊÔ£¨Ìì½ò¾í£©
Êýѧ£¨Àí¹¤Àࣩ
µÚ¢ò¾í
×¢ÒâÊÂÏ
1£®´ð¾íǰ½«ÃÜ·âÏßÄÚµÄÏîÄ¿ÌîдÇå³þ£® 2£®ÓøֱʻòÔ²Öé±ÊÖ±½Ó´ðÔÚÊÔ¾íÉÏ£® 3£®±¾¾í¹²12СÌ⣬¹²100·Ö£®
¶þ¡¢Ìî¿ÕÌ⣺±¾´óÌâ¹²6СÌ⣬ÿСÌâ4·Ö£¬¹²24·Ö£®°Ñ´ð°¸ÌîÔÚÌâÖкáÏßÉÏ£®
2??2x?x11£®?µÄ¶þÏîÕ¹¿ªÊ½ÖеÄϵÊýÊÇ £¨ÓÃÊý×Ö×÷´ð£©£® ?x??12£®Ò»¸öÕý·½ÌåµÄ¸÷¶¥µã¾ùÔÚͬһÇòµÄÇòÃæÉÏ£¬Èô¸ÃÇòµÄÌå»ýΪ43?£¬Ôò¸ÃÕý·½ÌåµÄ±íÃæ»ýΪ £®
213£®ÒÑÖªÔ²CµÄÔ²ÐÄÓëÅ×ÎïÏßy?4xµÄ½¹µã¹ØÓÚÖ±Ïßy?x¶Ô³Æ£¬Ö±Ïß4x?3y?2?0Óë
5Ô²CÏཻÓÚA£¬BÁ½µã£¬ÇÒAB?6£¬ÔòÔ²CµÄ·½³ÌΪ £®
D C £¬2)£¬BD?(?3£¬2)£¬ 14£®Èçͼ£¬ÔÚÆ½ÐÐËıßÐÎABCDÖУ¬AC?(1ÔòADAC? £®
15£®ÒÑÖªÊýÁÐ?an?ÖУ¬a1?1£¬an?1?an?A B 1(n?N*)£¬Ôòliman? £® n?1n??32?2a?£¬¶¼ÓÐy??a£¬a16£®Éèa?1£¬Èô½öÓÐÒ»¸ö³£ÊýcʹµÃ¶ÔÓÚÈÎÒâµÄx??a£¬??Âú×ã·½³Ì
logax?logay?c£¬ÕâʱaµÄȡֵµÄ¼¯ºÏΪ £®
Èý¡¢½â´ðÌ⣺±¾´óÌâ¹²6СÌ⣬¹²76·Ö£®½â´ðӦд³öÎÄ×Ö˵Ã÷£¬Ö¤Ã÷¹ý³Ì»òÑÝËã²½Ö裮
17£®£¨±¾Ð¡ÌâÂú·Ö12·Ö£© ÒÑÖªcos?x?????2??3??x?£¬??£¬?£® ?4?10?24????µÄÖµ£® 3?£¨¢ñ£©ÇósinxµÄÖµ£» £¨¢ò£©Çósin?2x??? 18£®£¨±¾Ð¡ÌâÂú·Ö12·Ö£©