¾«Æ·Îĵµ
10¡¢µ±³ÉÊýΪ0»ò1ʱ£¬Æä·½²îÓÐ×îСֵΪ0£»µ±³ÉÊýΪ0.5ʱ£¬Æä·½²îÓÐ×î´óֵΪ0.25¡£
11¡¢¸ù¾Ý±êÖ¾ÖµµÄ´óС¶ø¼ÆËã³öÀ´µÄƽ¾ùÊý³ÆÎªÊýֵƽ¾ùÊý£¨»ò¼ÆËãÆ½¾ùÊý£©£¬¸ù¾Ý±êÖ¾ÖµµÄλÖöøÈ·¶¨µÄƽ¾ùÊý³ÆÎªÎ»ÖÃÆ½¾ùÊý¡£
12¡¢È¨Êý¶Ôƽ¾ùÊýÆðȨºâÇáÖØµÄ×÷Ó㬲»È¡¾öÓÚËüµÄ¾ø¶ÔÊýµÄ´óС£¬¶øÊÇÈ¡¾öÓÚËüµÄÏà¶ÔÊý¡£
13¡¢¸ù¾Ý×é¾àÊýÁмÆËãÆ½¾ùÊýʱ£¬ÐèÓÃ×éÖÐÖµ×÷Ϊ¸÷×é±äÁ¿ÖµµÄ´ú±í£¬ÆäǰÌáÊǸ÷×é±äÁ¿ÖµÔÚÆäËùÔÚ×éÄÚÊǾùÔÈ·Ö²¼µÄ¡£
14¡¢¼¸ºÎƽ¾ùÊý×îÊÊÒËÓÚÇóÊýÁÐµÄÆ½¾ù±ÈÂÊºÍÆ½¾ùËÙ¶È¡£
15¡¢¶ÔÒ»×é±äÁ¿Öµ¶øÑÔ£¬Èôͬʱ¼ÆËãËãÊõƽ¾ùÊý£¬µ÷ºÍƽ¾ùÊýºÍ¼¸ºÎƽ¾ùÊý£¬ÔòÆäÖÐ×î´óÕßÊÇËãÊõƽ¾ùÊý£¬×îСֵÊǵ÷ºÍƽ¾ùÊý¡£
16¡¢ÖÐλÊýÊDZäÁ¿ÊýÁоÓÓÚÊýÁÐÖмäλÖõıäÁ¿Öµ£¬ÖÚÊýÊDZäÁ¿ÊýÁÐÖгöÏÖ´ÎÊýµÄ×î¶à±äÁ¿Öµ¡£
17¡¢±êÖ¾±äÒìÖ¸±êֵԽСƽ¾ùÊýµÄ´ú±íÐÔ¾ÍÔ½´ó£¬ÊÂÎï»òÏÖÏóµÄ±ä¶¯¾ÍÔ½¾ùÔÈ¡£
18¡¢Í³¼ÆÉÏΪÏû³ýX¶ÔXµÄÕý¸ºÀë²îÏ໥µÖÏûΪ0µÄ²»ÀûÓ°Ï죬ÓÐÁ½ÖÖ´¦Àí·½·¨£¬Ò»ÊǾø¶ÔÖµ·¨£¬¶þÊÇÆ½·½¿ª·½·¨¡£ ¶þ¡¢µ¥Ñ¡Ìâ
1¡¢·´Ó³×ÜÌå·Ö²¼¼¯ÖÐÇ÷ÊÆµÄÊÇ£¨C £©¡£
A£®×ÜÁ¿Ö¸±ê B£®Ïà¶ÔÖ¸±ê C£®Æ½¾ùÖ¸±ê D£®±êÖ¾±äÒìÖ¸±ê 2¡¢·´Ó³×ÜÌå·Ö²¼ÀëÖÐÇ÷ÊÆµÄÊÇ£¨ D £©¡£
A£®×ÜÁ¿Ö¸±ê B£®Ïà¶ÔÖ¸±ê C£®Æ½¾ùÖ¸±ê D£®±êÖ¾±äÒìÖ¸±ê 3¡¢±ÈÖØÈ¨ÊýÒ²½ÐÏà¶ÔȨÊý£¬Ö¸µÄÊÇ£¨ D £©
A£®±ÈÀýÏà¶ÔÊý B£®±È½ÏÏà¶ÔÊý C£®¶¯Ì¬Ïà¶ÔÊý D£®½á¹¹Ïà¶ÔÊý 4¡¢¸ù¾Ý×é¾àÊýÁмÆËãÆ½¾ùÊýʱ£¬±»Æ½¾ùµÄÊýÖµÊÇ£¨ D £©¡£ A£®×éÏÞ B£®×é¾à C£®È«¾à D£®×éÖÐÖµ
5¡¢ÓÃ×éÖÐÖµ×÷Ϊ±»Æ½¾ùÊýÖµ¼ÆËã¼ÓȨƽ¾ùÊýʱ£¬Æä¼Ù¶¨Ìõ¼þÊÇ£¨ C £©¡£ A£®×ÜÆ½¾ùÊýÓë×鯽¾ùÊýÏàµÈ B£®¸÷×鯽¾ùÊýÏàµÈ C£®¸÷×鯽¾ùÊýÓëÆä×éÖÐÖµÏàµÈ D£®¸÷×é×éÖÐÖµÏàµÈ 6¡¢Èç¹ûÒ»×é±äÁ¿ÖµÖÐÓÐÒ»ÏîΪÁ㣬Ôò²»ÄܼÆË㣨B £©¡£
A£®ËãÊõƽ¾ùÊý B£®µ÷ºÍƽ¾ùÊý C£®ÖÚÊý D£®ÖÐλÊý
7¡¢Ä³ÆóÒµÓмס¢ÒÒÁ½¸öÉú²ú³µ¼ä£¬ÒÑÖª2000Äê¼×¡¢ÒÒÁ½³µ¼ä¹¤È˵ÄÔÂÆ½¾ù¹¤×Ê·Ö±ðΪ820ÔªºÍ900Ôª£¬ÓÖÖª2001Äê¼×³µ¼ä¹¤ÈËÊýռȫ³§¹¤ÈË×ÜÊý±ÈÖØÉÏÉý£¬ÒÒ³µ¼äµÄϽµ¡£Èô2001ÄêÁ½³µ¼ä¹¤È˹¤×Êˮƽ²»±ä£¬ÔòÈ«³§¹¤ÈËÆ½¾ù¹¤×ʽ«£¨ B £©¡£ A£®Ìá¸ß B£®Ï½µ C£®²»±ä D£®Éý½µ²»¶¨
8¡¢Ä³Éú²úС×éÓÐ35Ãû¹¤ÈË£¬Ã¿ÈËÉú²úµÄ²úÆ·ÊýÁ¿Ïàͬ¡£ÆäÖÐÓÐ13ÈËÿ¼þ²úÆ·ºÄʱ8·ÖÖÓ£¬16ÈËÿ¼þ²úÆ·ºÄʱ10·ÖÖÓ£¬6ÈËÿ¼þ²úÆ·ºÄʱ5·ÖÖÓ¡£¼ÆËã¸ÃС×鹤ÈËÆ½¾ùÿ¼þ²úÆ·ºÄʱӦ²ÉÓ㨠B £©¡£
A£®¼òµ¥ËãÊõƽ¾ù·¨ B£®¼ÓȨËãÊõƽ¾ù·¨ C£®¼òµ¥µ÷ºÍƽ¾ù·¨ D£®¼ÓȨµ÷ºÍƽ¾ù·¨
9¡¢Ä³ÀÏÈËÔºÀï11λ°ÙËêÀÏÈ˵ÄÄêÁä·Ö±ðÊÇ£º101¡¢102¡¢110¡¢105¡¢102£¬¾Ý´Ë¼ÆËãµÄ½á¹ûÊÇ£¨ C £©¡£
A£®X=Me=Mo B£®Mo£¾Me£¾X C£®Me£¾X£¾Mo D£®X£¾Me£¾Mo 10¡¢ÒÑÖªÈýÖÖ²úÆ·µÄºÏ¸ñÂÊ·Ö±ðΪ85£¥¡¢90£¥ºÍ95£¥£¬ÔòÆäƽ¾ùºÏ¸ñÂÊΪ£¨ A £©¡£ A£®89.9£¥ B£®90£¥ C£®89.81£¥ D£®68.40£¥
.
¾«Æ·Îĵµ
11¡¢Æ½¾ù²îÓë±ê×¼²îµÄÖ÷񻂿±ðÔÚÓÚ£¨ C £©¡£
A£®ÒâÒ岻ͬ B£®¼ÆËãÌõ¼þ²»Í¬ C£®Êýѧ´¦Àí·½·¨²»Í¬ D£®¼ÆËã½á¹û²»Í¬ 12¡¢×Ü·½²î¡¢×éÄÚ·½²îºÍ×é¼ä·½²îÈýÕßÖ®¼äµÄ¹ØÏµ¿É±íʾΪ£¨ C £©¡£
222222A£®?×Ü B£®?×Ü ??×é¼ä??×éÄÚ??×é¼ä??×éÄÚ222222C£®?×Ü D£®?×Ü ??×é¼ä??×éÄÚ??×é¼ä??×éÄÚ 13¡¢Ä³Á¬Ðø±äÁ¿×é¾àÊýÁУ¬ÆäÄ©×éΪ500ÒÔÉÏ£¬ÓÖÖªÆäÁÚ×é×éÖÐֵΪ480£¬ÔòÆäÄ©×é×éÖÐֵΪ£¨ A £©¡£
A£®520 B£®510 C£®500 D£®490 14¡¢ÔÚ±ê×¼Õý̬·Ö²¼Ìõ¼þÏ£¬ÓУ¨ A £©¡£
A£®X=Me=Mo B£®Mo£¾Me£¾X C£®Me£¾X£¾Mo D£®X£¾Me£¾Mo 15¡¢¸÷±äÁ¿ÖµÓëËãÊõƽ¾ùÊýÀë²îƽ·½µÄºÍΪ£¨C £©¡£ A£®0 B£®1 C£®×îС D£®×î´ó
16¡¢¼ÓȨËãÊõƽ¾ùÊý£¨ C £©
A£®Ö»Êܸ÷×é±äÁ¿ÖµµÄÓ°Ïì B£®Ö»Êܸ÷×鯵Êý£¨ÆµÂÊ£©µÄÓ°Ïì C£®²»ÊÜÈκÎÒòËØµÄÓ°Ïì D£®²»ÊÜÈκÎÒòËØµÄÓ°Ïì 17¡¢Èç¹ûÖÚÊý×éǰºóÁ½×éµÄƵÊýÏàͬ£¬Ôò£¨ C £©¡£ A£®ÖÚÊýµÈÓÚÖÚÊý×éÏÂÏÞ B£®ÖÚÊýµÈÓÚÖÚÊý×éÉÏÏÞ C£®ÖÚÊýµÈÓÚÖÚÊý×é×éÖÐÖµ D£®ÖÚÊýµÈÓÚÖÐλÊý 18¡¢¸ù¾Ýͬһ×ÊÁϼÆËã³öµÄX¡¢HºÍCÓУ¨ A £©¡£
A£®H¡ÜG¡ÜX B£® H¡ÜX¡ÜC C£®X¡ÜG¡ÜH D£®G¡ÜH¡ÜX 19¡¢³öÏÖ´ÎÊý×î¶àµÄ±äÁ¿Öµ³ÆÎª£¨ C £©¡£ A£®X B£®H C£®Mo D£®Me
20¡¢A¡¢BÁ½¸ö×ÜÌ壬ÈôAµÄƽ¾ùÊý´óÓÚBµÄƽ¾ùÊý£¬ÇÒAµÄ·½²îµÈÓÚBµÄ·½²î£¬Ôò£¨A £©¡£
A£®AµÄƽ¾ùÊý´ú±íÐÔ´ó B£®BµÄƽ¾ùÊý´ú±íÐÔ´ó
C£®Á½¸öƽ¾ùÊý´ú±íÐÔÏàͬ D£®²»ÄÜÅжÏÄĸöƽ¾ùÊý´ú±íÐÔ´ó
2l¡¢Óñê×¼²îϵÊý˵Ã÷ƽ¾ùÊý´ú±íÐԵĴóС£¬Ö÷ÒªÏû³ýÏÂÁÐÄÄÒ»ÒòËØµÄÓ°Ï죨D £©¡£
A£®×ÜÌå±êÖ¾×ÜÁ¿ B£®×ÜÌ嵥λ×ÜÁ¿ C£®×ÜÌå±ê×¼²î D£®×ÜÌ寽¾ùÊý 22¡¢Æ½¾ù²îµÄÖ÷ҪȱµãÊÇ£¨C £©¡£
A£®Ò×Êܼ«¶ËÖµµÄÓ°Ïì B£®¼ÆËãÌ«¸´ÔÓ
C£®²»ÊʺϴúÊý·½·¨µÄÑݽø D£®Î´½«È«²¿±êÖ¾Öµ¿¼ÂǽøÀ´ 23¡¢ÏÂÁбäÒìÖ¸±êÖУ¬Ïû³ýÁËÁ¿¸ÙÓ°ÏìµÄÊÇ£¨D £©¡£
A£®È«¾à B£®Æ½¾ù²î C£®±ê×¼²î D£®ÀëɢϵÊý 24¡¢ÏÂÁбêÖ¾±äÒìÖ¸±êÖУ¬×îÒ×Êܼ«¶ËÖµÓ°ÏìµÄÊÇ£¨ A £©¡£ A£®È«¾à B£®Æ½¾ù²î C£®±ê×¼²î D£®ÀëɢϵÊý 25¡¢ÊǷDZêÖ¾±ê×¼²îµÄ×î´óֵΪ£¨A £©¡£
A£®0.5 B£®0.25 C£®1 D£®0.75 26¡¢ÏÂÁзֲ¼ÖУ¬¼¯ÖжÈ×î´óµÄÊÇ£¨ A £©¡£
.
¾«Æ·Îĵµ
27¡¢ÏÂÁзֲ¼ÖУ¬ÀëÖжÈ×î´óµÄÊÇ£¨A £©¡£ Èý¡¢¶àÑ¡Ìâ
1¡¢ÏÂÁÐÆ½¾ùÊýÖУ¬ÊôÓÚλÖÃÆ½¾ùÊýµÄÓУ¨ B £©£¨ D £©£¨ £©£¨ £©£¨ £©¡£
A£®ËãÊõƽ¾ùÊý B£®ÖÚÊý C£®µ÷ºÍƽ¾ùÊý D£®ÖÐλÊý E£®¼¸ºÎƽ¾ùÊý
2¡¢ÏÂÁÐÆ½¾ùÊýÖУ¬²»Êܼ«¶ËÖµÓ°ÏìµÄÓУ¨ B £©£¨ D £©£¨ £©£¨ £©£¨ A£®ËãÊõƽ¾ùÊý B£®ÖÚÊý C£®µ÷ºÍƽ¾ùÊý D£®ÖÐλÊý E£®¼¸ºÎƽ¾ùÊý 3¡¢ËãÊõƽ¾ùÊýµÄ¼ÆË㹫ʽ°üÀ¨£¨ A £©£¨ D £©£¨ E £©£¨ £©£¨ £©¡£
A£®?XN B£®N C£®n?X
?1XD£®?XF?F E£®?X?1?f
4¡¢ÏÂÁÐÖ¸±êÖУ¬·´Ó³×ÜÌå·Ö²¼ÀëÖÐÇ÷ÊÆµÄÓУ¨B £©£¨ C £©£¨ D £©£¨ £¨ £©¡£
A£®ÖÚÊý B£®È«¾à C£®Æ½¾ù²î D£®±ê×¼²î E£®ÖÐλÊý 5¡¢¼ÓȨËãÊõƽ¾ùÊýµÈÓÚ¼òµ¥ËãÊõƽ¾ùÊýµÄÌõ¼þÓУ¨ A £©£¨ C £©£¨ D £©£¨£¨ £©¡£
A£®¸÷×鯵ÊýÏàµÈ B. ×é±äÁ¿ÖµÏàµÈ C£®¸÷×鯵ÂÊÏàµÈ D£®ÐÐ×é´ÎÊýΪ1 E£®¸÷×鯵ÂÊΪ1 6¡¢³ÉÊýPµÄ·½²î¿É±íʾΪ£¨ B £©£¨ C £©£¨ £©£¨ £©£¨ £©¡£ A£®P B£®Pq C£®P£¨1-P£© D£®Pq E£®P(1?P)
7¡¢Ò»°ãƽ¾ùÊý£¨¾²Ì¬Æ½¾ùÊý£©°üÀ¨£¨ A £©£¨ B £©£¨ C £©£¨D £©£¨ E A£®ËãÊõƽ¾ùÊý B£®µ÷ºÍƽ¾ùÊý C£®¼¸ºÎƽ¾ùÊý D£®ÖÚÊý E£®ÖÐλÊý 8¡¢±äÁ¿ÊýÁзÖÎöµÄ×÷ÓðüÀ¨£¨ A £©£¨ B £©£¨ C £©£¨ D £©£¨ £©¡£ A£®ÈÏʶ×÷Óà B£®±È½Ï×÷Óà C£®ÊýÁ¿±ê×¼×÷Óà D£®ÍƶÏ×÷Óà E£®Í¬¶ÈÁ¿×÷ÓÃ
9¡¢¸ù¾Ý×é¾àÊýÁмÆËãÖÚÊýµÄ·½·¨°üÀ¨£¨ A £©£¨ C £©£¨ E £©£¨ £©£¨ A£®½ðÊϲåÖµ·¨ B£®Ë®Æ½·¨ C£®Çв®²åÖµ·¨ D£®ÀۼƷ¨ E£®Æ¤¶ûÑ·¾Ñé·¨ 10¡¢±äÁ¿Öµ·½²îµÄ¼ÆË㹫ʽ°üÀ¨£¨ A £©£¨ C £©£¨ D £©£¨ E £©£¨ £©¡£A£®?(X?X)2N B£®?|X?X| C£®?(X?X)2f?f
.
£©¡£ £© £©£©¡£ ¡£ £©
¾«Æ·Îĵµ
D£®?(X?X)2f E£®X2?(X)2 ?f11¡¢Æ½¾ùÖ¸±êµÄ×÷ÓðüÀ¨£¨ B £©£¨D £©£¨ E £©£¨ £©£¨ £©¡£
A£®·´Ó³×ÜÌåµÄ×ÛºÏÌØÕ÷ B£®·´Ó³±äÁ¿Öµ·ÖÎöµÄ¼¯ÖÐÇ÷ÊÆ C£®·´Ó³±äÁ¿Öµ·Ö²¼µÄÀëÖÐÇ÷ÊÆ
D£®¿É·´Ó³ÏÖÏóÔÚͬһʱ¼ä²»Í¬¿Õ¼äµÄÒ»°ãˮƽ E£®¿É·´Ó³ÏÖÏóÔÚͬһ¿Õ¼ä²»Í¬Ê±¼äµÄÒ»°ãˮƽ 12¡¢ÏÂÁÐÊôÓÚÊýÖµ£¨¼ÆË㣩ƽ¾ùÊýµÄÓУ¨A £©£¨ B £©£¨ C £©£¨ £©£¨ £©¡£ A£®ËãÊõƽ¾ùÊý B£®µ÷ºÍƽ¾ùÊý C. ¼¸ºÎƽ¾ùÊý D£®ÖÚÊý E£®ÖÐλÊý
13¡¢ËãÊõƽ¾ùÊýµÄ»ù±¾¹«Ê½Öаüº¬ÓУ¨A £©£¨ C £©£¨D £©£¨ £©£¨ £©¡£ A£®·Ö×ÓÓë·ÖĸÊôÓÚͬһ×ÜÌå B£®·Ö×ÓÓë·ÖĸµÄ¼ÆÁ¿µ¥Î»Ïàͬ C£®·ÖĸÊÇ·Ö×ӵijе£Õß D£®·Ö×Ó¸½Êô·Öĸ E£®·Ö×ÓÓë·Öĸ¶¼ÊÇ×ÜÌå±êÖ¾×ÜÁ¿ 14¡¢¼ÓȨËãÊõƽ¾ùÊýµÄȨÊýÓ¦¾ß±¸µÄÌõ¼þÓУ¨ A £©£¨ B £©£¨ C £©£¨ £©£¨ £©¡£ A£®È¨ÊýÓë±êÖ¾ÖµµÄ³Ë»ýµÈÓÚ±êÖ¾×ÜÁ¿ B£®È¨ÊýÒ»°ãΪ±êÖ¾ÖµµÄ³Ðµ£Õß C£®È¨ÊýÓë±êÖ¾ÖµµÄ³Ë»ýÓо¼ÃÒâÒå D£®È¨ÊýÒ»¶¨ÊÇ×ÜÌ嵥λÊý E£®È¨ÊýÒ»¶¨Êǵ¥Î»Êý±ÈÖØ
a15¡¢ÈôC?£¬ÔòÓУ¨ A £©£¨ B £©£¨ E £©£¨ £©£¨ £©¡£
b?a?cbA£®ÈôÒÑÖªcºÍa£¬ÔòC? B£®ÈôÒÑÖªcºÍb£¬ÔòC?
a?b?c?b?caC£®ÈôÒÑÖªcºÍa£¬ÔòC? D£®ÈôÒÑÖªcºÍb£¬ÔòC?
b?a?bcE£®ÈôÖ»Öªc£¬ÔòC?n?c
16¡¢¼¸ºÎƽ¾ù·¨Ö÷ÒªÊÊÓüÆË㣨 B £©£¨ D £©£¨ E £©£¨ £©£¨ £©¡£ A£®¾ßÓÐµÈ²î¹ØÏµµÄÊýÁÐ B£®¾ßÓеȱȹØÏµµÄÊýÁÐ
C£®±äÁ¿ÖµµÄ´úÊýºÍµÈÓÚ×ÜËٶȵÄÏÖÏó D£®±äÁ¿ÖµµÄÁ¬³Ë»ýµÈÓÚ×ܱÈÂʵÄÏÖÏó
E£®±äÁ¿ÖµµÄÁ¬³Ë»ýµÈÓÚ×ÜËٶȵÄÏÖ 17¡¢ÖÐλÊýµÄÌØÕ÷°üÀ¨£¨ A £©£¨ C £©£¨ E £©£¨ £©£¨ £©¡£ A£®¾ÓÓÚÊýÁÐÖмäλÖà B£®¸ù¾ÝÈ«²¿±äÁ¿Öµ¼ÆËã C£®²»Êܼ«¶ËÖµµÄÓ°Ïì D£®Ò×Êܼ«¶ËÖµµÄÓ°Ïì E£®ÔÚ×é¾àÊýÁÐÖв»ÊÜ¿ª¿Ú×éÓ°Ïì
18¡¢ÔÚÆ«Ð±ÊʶÈʱ£¬X¡¢MoºÍMeÖ®¼äÓУ¨A £©£¨ D £©£¨ £©£¨ £©£¨ £©¡£ A£®X¡¢MoºÍMe¼äÓÐÒ»¶¨µÄÊýÁ¿¹ØÏµ B£®X¡¢MoºÍMe¼ä²»´æÔÚÈκÎÁªÏµ
C£®X=Mo=Me D£®Mo=3Me-2X E£®Me=3Mo-2X 19¡¢Ó¦ÓÃÆ½¾ùÖ¸±êʱӦעÒ⣨ A £©£¨ B £©£¨C £©£¨ D £©£¨ E £©¡£ A£®×ÜÌåµÄͬÖÊÐÔ B£®¼«¶ËÖµµÄÓ°Ïì
C£®ÓÃ×鯽¾ùÊý²¹³ä˵Ã÷×ÜÆ½¾ùÊý D£®Ó÷ÖÅäÊýÁв¹³ä˵Ã÷×ÜÆ½¾ùÊý E£®½«Æ½¾ùÊýÓëµäÐÍÊÂÀýÏà½áºÏ
20¡¢±êÖ¾±äÒìÖ¸±êµÄ×÷ÓðüÀ¨£¨ A £©£¨ B £©£¨ D £©£¨ E £©£¨ £©¡£
.