ÄÚÈÝ·¢²¼¸üÐÂʱ¼ä : 2024/10/25 15:31:18ÐÇÆÚÒ» ÏÂÃæÊÇÎÄÕµÄÈ«²¿ÄÚÈÝÇëÈÏÕæÔĶÁ¡£
2014ÄêÑîÆÖÇø¸ß¿¼Ä£Ä⣨ÈýÄ££©
ÊýѧÎÄÊÔ¾í
Ò». Ìî¿ÕÌ⣨±¾´óÌâÂú·Ö56·Ö£©±¾´óÌâ¹²ÓÐ14Ì⣬¿¼ÉúÓ¦ÔÚ´ðÌâÖ½ÉÏÏàÓ¦±àºÅµÄ¿Õ¸ñÄÚÖ±½ÓÌîд½á¹û£¬Ã¿¸ö¿Õ¸ñÌî¶ÔµÃ4·Ö£¬·ñÔòÒ»ÂɵÃÁã·Ö£®
1£® ÉèU?R,M?{x|x?2x?0}£¬ÔòCUM=
2£®£¨ÎÄ¿Æ£©´Ó8ÈËÖÐÑ¡3ÈËÕ¾³ÉÒ»ÅÅ£¬ÆäÖмײ»Õ¾ÔÚÊ×룬ÓÐ ÖÖÅÅ·¨. 3£® ¶þÏîÕ¹¿ªÊ½(x?)Öеij£ÊýÏîΪ £®£¨ÓÃÊý×Ö×÷´ð£©
4£® £¨ÎÄ¿Æ£©¿ÎÌâ×é½øÐгÇÊпÕÆøÖÊÁ¿µ÷²é£¬°´µØÓò°Ñ24¸ö³ÇÊзֳɼס¢ÒÒ¡¢±ûÈý×飬¶ÔÓ¦³ÇÊÐÊý·Ö±ðΪ4¡¢12¡¢8.ÈôÓ÷ֲã³éÑù³éÈ¡6¸ö³ÇÊУ¬Ôò±û×éÖÐÓ¦³éÈ¡µÄ³ÇÊÐÊýΪ .
5.£¨ÎÄ¿Æ£©ÒÑÖªÅ×ÎïÏßy=ax¹ýµãA(,1)£¬ÄÇôµãAµ½´ËÅ×ÎïÏߵĽ¹µãµÄ¾àÀëΪ .
221x614?m?ni?6.£¨ÎÄ¿Æ£©ÒÑÖªiÊÇÐéÊýµ¥Î»£¬m¡¢n?R£¬ÇÒm(1?i)?1?ni£¬Ôò??? .
?m?ni?7. £¨ÎÄ¿Æ£©ÒÑÖª|a|?3£¬|b|?5£¬ÇÒa?b?12£¬ÔòÏòÁ¿aÔÚÏòÁ¿bµÄ·½ÏòÉϵÄͶӰΪ_______.
8. £¨ÎÄ¿Æ£©Èç¹ûÒô²æ·¢³öµÄÉù²¨¿ÉÒÔÓú¯Êýf(x)?0.001sin420?xÃèÊö£¬ÄÇôÒô²æÉù²¨µÄƵÂÊÊÇ .
2vvvvvv?2x?y?2?0?229£®£¨ÎÄ¿Æ£©ÈôʵÊýx¡¢yÂú×ã?x?0Ôòx?yµÄ×î´óֵΪ .
?y?0?10. (ÎÄ¿Æ) °ÑµØÇò¿´×÷°ë¾¶ÎªRµÄÇò£¬µØÇòÉϵÄA¡¢BÁ½µØ¶¼ÔÚ±±Î³45ÉÏ£¬A¡¢ÇòÃæ¾àÀëΪ
?O1ABÁ½µØµÄ
O?R3£¬AÔÚ¶«¾20£¬ÔòBµãµÄλÖà λÓÚ±±Î³ ?B¶«¾ µÄλÖÃ.
11.(ÎÄ¿Æ£©ÊýÁÐ{an}µÄÇ°nÏîºÍΪSn£¬Èôµã(n,Sn)£¨n?N£©ÔÚº¯Êýy?log2(x?1)µÄ·´º¯ÊýµÄͼÏñÉÏ£¬Ôòan=________.
12£®£¨ÎÄ¿Æ£©¶ÔÈÎÒâÒ»¸ö·ÇÁ㸴Êýz£¬¶¨Ò弯ºÏAz?*????zn,n?N?£¬Éè?ÊÇ·½³Ìx2?1?0µÄÒ»¸ö¸ù£¬
?ÈôÔÚA?ÖÐÈÎÈ¡Á½¸öÊý£¬ÔòÆäºÍΪÁãµÄ¸ÅÂÊΪ .
13£®ÒÑÖªº¯Êýf(x)ÊǶ¨ÒåÔÚRÉϵÄÆ溯Êý.µ±x?0ʱ£¬f(x)?x?6£¬Ôòx?0ʱ£¬ ²»µÈʽf(x)?xµÄ½â¼¯Îª £®
214£®£¨ÎÄ¿Æ£©ÔÚ¡÷ABCÖУ¬
sinA3cosB?£®Èç¹ûb?2,Ôò¡÷ABCÃæ»ýµÄ×î´óÖµ £® ab¶þ. Ñ¡ÔñÌ⣨±¾´óÌâÂú·Ö20·Ö£©±¾´óÌâ¹²ÓÐ4Ì⣬ÿÌâÖ»ÓÐÒ»¸öÕýÈ·´ð°¸,Ñ¡¶ÔµÃ5·Ö£¬´ð°¸´úºÅ±ØÐëÌîÔÚ´ðÌâÖ½ÉÏ£®×¢ÒâÊÔÌâÌâºÅÓë´ðÌâÖ½ÉÏÏàÓ¦±àºÅÒ»Ò»¶ÔÓ¦,²»ÄÜ´íλ. 15£®£¨ÎÄ¿Æ£©Ä³ËÄÀâ׶µÄÈýÊÓͼÈçͼËùʾ£¬ Ôò×µÄÒ»Ìõ²àÀⳤ¶ÈΪ( )
£¨A£©2 £¨B£©3 £¨C£©5 £¨D£©6
16£® ΪÁ˵õ½º¯Êýy?sin(2x?)µÄͼÏó£¬Ö»Ðè°Ñº¯Êýy?sin2xµÄͼÏó
( ) £¨A£©Ïò×óƽÒÆ
1 1 Ö÷ÊÓ1 1 ×óÊÓ?3??¸öµ¥Î»³¤¶È £¨B£©ÏòÓÒƽÒƸöµ¥Î»³¤¶È 33??¸öµ¥Î»³¤¶È £¨D£©ÏòÓÒƽÒƸöµ¥Î»³¤¶È 66¸©ÊÓ£¨C£©Ïò×óƽÒÆ
17£®µÈ²îÊýÁÐ?an?ÖУ¬¹«²îd?2£¬ÇÒa1,a3,a4³ÉµÈ±ÈÊýÁУ¬Ôòa2? £¨ £© £¨A£©£®?4
£¨B£©£®?6
£¨C£©£®?8
£¨D£©£®?10
?1,x?0,?218£®£¨ÎÄ¿Æ£©ÒÑÖª·ûºÅº¯Êýsgn(x)??0,x?0,Ôòº¯Êýf(x)?sgn(lnx)?lnxµÄÁãµã¸öÊýΪ( B )
??1,x?0,? £¨A£©1 £¨B£©2 £¨C£©3 £¨D£©4
Èý¡¢½â´ðÌâ 19£®£¨±¾ÌâÂú·Ö12·Ö£©±¾Ìâ¹²ÓÐ2¸öСÌ⣬ÿСÌâÂú·Ö¸÷6·Ö£®
£¨ÎÄ¿Æ£©Èçͼ£¬»¡AECÊǰ뾶ΪrµÄ°ëÔ²£¬ACΪֱ¾¶£¬µãEΪ»¡ACµÄÖе㣬µãBºÍµãCΪÏ߶ÎADµÄÈýµÈ·Öµã£¬Ï߶ÎED Ó뻡EC½»ÓÚµãG£¬ÇÒcos?CBG?Ò»µãFÂú×ãFC?ƽÃæBED,FC?2r¡£ ¢Å ÇóÒìÃæÖ±ÏßEDÓëFCËù³É½ÇµÄ´óС£»
¢Æ ½«?FCG£¨¼°ÆäÄÚ²¿£©ÈÆFCËùÔÚÖ±ÏßÐýתһÖÜÐγÉÒ»¼¸ºÎÌ壬Çó¸Ã¼¸ºÎÌåµÄÌå»ý¡£
4£¬Æ½ÃæAECÍâ520. £¨±¾ÌâÂú·Ö14·Ö£©±¾Ìâ¹²ÓÐ2¸öСÌ⣬µÚ1СÌâÂú·Ö6·Ö£¬µÚ2СÌâÂú·Ö8·Ö £® £¨ÎÄ¿Æ£©Èçͼ£¬Î§½¨Ò»¸öÃæ»ýΪ360mµÄ¾ØÐγ¡µØ£¬ÒªÇó¾ØÐγ¡µØµÄÒ»ÃæÀûÓþÉǽ£¨ÀûÓþÉǽÐèάÐÞ£©,ÆäËüÈýÃæΧǽҪн¨£¬ÔÚ¾ÉǽµÄ¶ÔÃæµÄÐÂǽÉÏÒªÁôÒ»¸ö¿í¶ÈΪ2mµÄÒ»ÉÈÃÅ,ÒÑÖª¾ÉǽµÄάÐÞ·ÑÓÃΪ45Ôª/m,ÐÂǽµÄÔì¼ÛΪ180Ôª/m,Ò»ÉÈÃŵÄÔì¼ÛΪ600Ôª£¬ÉèÀûÓõľÉǽµÄ³¤¶ÈΪxm£¬×ÜÔì¼ÛΪyÔª.
£¨1£©½«y±íʾΪxµÄº¯Êý£»
£¨2£©ÊÔÈ·¶¨x,ʹÐÞ½¨´Ë¾ØÐγ¡µØΧǽµÄ×Ü·ÑÓÃ×îС£¬²¢Çó³ö×îС×Ü·ÑÓÃ.
21£® £¨±¾ÌâÂú·Ö14·Ö£©±¾Ìâ¹²ÓÐ2¸öСÌ⣬µÚ1СÌâÂú·Ö6·Ö£¬µÚ2СÌâÂú·Ö8·Ö £®
x2y2£¨ÎÄ¿Æ£©ÒÑ֪˫ÇúÏßC£º2?2?1?a?0,b?0?£¬ÉèPÊÇË«ÇúÏßCÉÏÈÎÒâÒ»µã, OΪ×ø±êԵ㣬ÉèFΪ˫Çú
abÏßÓÒ½¹µã.
£¨1£©ÈôË«ÇúÏßCÂú×㣺ÎÞÂÛµãPÔÚÓÒÖ§µÄºÎ´¦£¬×ÜÓÐPO?PF£¬ÇóË«ÇúÏßCÔÚµÚÒ»¡¢ÈýÏóÏÞµÄÄÇÌõ½¥½ü
ÏßµÄÇãб½ÇµÄÈ¡Öµ·¶Î§£»
£¨2£©¹ýÓÒ½¹µãFµÄ¶¯Ö±Ïßl½»Ë«ÇúÏßÓÚA¡¢BÁ½µã£¬ÊÇ·ñ´æÔÚÕâÑùµÄa£¬bµÄÖµ£¬Ê¹µÃ¡÷OABΪµÈ±ßÈý½Ç
ÐÎ.Èô´æÔÚ£¬Çó³öËùÓÐÂú×ãÌõ¼þµÄa£¬bµÄÖµ£»Èô²»´æÔÚ£¬ËµÃ÷ÀíÓÉ.
2