·¢²¼Ê±¼ä : 2024/6/5 8:11:06 ÐÇÆÚÈý ÎÄÕÂ(ÓŸ¨×ÊÔ´)°æËÄ´¨Ê¡¼òÑôÊиßÒ»ÏÂѧÆÚÆÚÄ©¿¼ÊÔÊýѧ(ÎÄ)ÊÔÌâWord°æº¬´ð°¸¸üÐÂÍê±Ï¿ªÊ¼ÔĶÁ2883b2bd53d380eb6294dd88d0d233d4b04e3fc8

ÓÅÖÊÎĵµ

2016¡ª2017ѧÄê¶ÈµÚ¶þѧÆÚÆÚÄ©½ÌѧÖÊÁ¿¼ì²âÊÔÌâ

¸ßÒ»Ä꼶 Êýѧ£¨ÎÄ¿Æ£©²Î¿¼´ð°¸¼°ÆÀ·Ö±ê×¼

Ò»¡¢Ñ¡ÔñÌ⣺±¾´óÌâ¹²12СÌ⣬ÿÌâ5·Ö£¬¹²60·Ö 1¡ª5.DACCB 6¡ª10.BDCBC 11¡ª12AC ¶þ¡¢Ìî¿ÕÌ⣺±¾´óÌâ¹²4СÌ⣬ÿСÌâ5·Ö£¬¹²20·Ö 13. (£­¡Þ£¬£­2)¡È(2£¬£«¡Þ) 14.

3 15. 1¡Ã24 16.2

Èý¡¢½â´ðÌ⣺±¾´óÌâ¹²6¸öСÌ⣬¹²70·Ö 17¡¢½â£º£¨1£©kAB??4,Ö±ÏßlÓÖ¹ýµãP(1£¬£­5)£¬

ÔòÖ±ÏßlµÄ·½³ÌΪ£º4x?y?1?0....................................................................................5·Ö £¨2£© ÓÉÒÑÖªÌõ¼þ¿ÉµÃkm?3£¬ÔòÉèÖ±ÏßmµÄ·½³ÌΪy?3x?b£¬

?3?b310310?ÓÖÓëµãP(?1,0)µÄ¾àÀëÊÇ£¬Ôò£¬

5510µÃµ½b?9»ò-3£¬¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­8·Ö

?Ö±ÏßmµÄ·½³ÌΪ3x?y?9?0»ò3x?y?3?0¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­..10·Ö

18¡¢½â£º(1)f(x)?cos2x?13?sin2x?1¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­..2·Ö 22?133cos2x?sin2x? 2223¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­..4·Ö

6251?º¯Êýf(x)µÄ×îСÕýÖÜÆÚÊÇ?£¬×î´óֵΪ£¬×îСֵΪ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­..6·Ö

22??21£¨2£©?f(?)?,

2610?sin(2x?)?Ôòsin?2(???321????)????

6?210?26Ôòsin(???23¼´cos??¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­.8·Ö

5ÓÖ?ΪµÚÒ»ÏóÏ޵ĽÇ

ÓÅÖÊÎĵµ

)?3 5ÓÅÖÊÎĵµ

Ôòsin??4 52(sin??cos?)42¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­..10·Ö ?cos(2??2?)cos2?sin(??)22(sin??cos?)2?22 ?2cos??sin?cos??sinx???52¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­..12·Ö 219¡¢(1)Ö¤Ã÷ Èçͼ£¬È¡BFµÄÖеãM£¬ÉèACÓëBD½»µãΪO£¬Á¬½ÓMO,ME.

//11ÓÉÌâÉèÖª£¬CE?DF,MO?DF£¬

22//¡àCE?MO£¬¹ÊËıßÐÎOCEMΪƽÐÐËıßÐΣ¬

//?EM//CO,¼´EM//AC.

ÓÖAC?ƽÃæBEF,EM?ƽÃæBEF£¬

¡àAC//ƽÃæBEF.........................................................4·Ö

(2)½â ¡ßƽÃæCDFE¡ÍƽÃæABCD£¬Æ½ÃæCDFE¡ÉƽÃæABCD£½DC£¬BC¡ÍDC£¬ ¡àBC¡ÍƽÃæDEF. ¡àÈýÀâ׶D?BEFµÄÌå»ýΪ

1114VD?BEF?VB?DEF?S?DEF?BC???2?2?2?........................8·Ö

3323£¨3£©¡ßƽÃæCDFE¡ÍƽÃæABCD£¬Æ½ÃæCDFE¡ÉƽÃæABCD£½DC£¬ÓÖFD?CD

?FD?ƽÃæABCD,ÓÖAC?ƽÃæABCD,

?AC?DF

ÓÖÔÚÕý·½ÐÎABCDÖÐ

AC?BD,BD?DF?D

?AC?ƽÃæBDF

Á¬½áFO,?AFÓëƽÃæBDFËù³É½ÇΪ?AFO,

ÓÖAB?AD?DF?2£¬

?AO?2£¬FO?6£¬?tan?AFO?AO23 ??FO36ÓÅÖÊÎĵµ

ÓÅÖÊÎĵµ

??AFO??6

?AFÓëƽÃæBDFËù³É½ÇΪ..........................................12·Ö

620¡¢½â£º£¨1£©?bcosC?ccosB?2asinA£¬?sinBcosC?sinCcosB?2sin2A, ¼´sin(B?C)?2sinA,¼´sinA?2sinA

22??sinA?1 2ÓÖ?a?b?c£¬?0?A??3£¬?A??6¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­.6·Ö

£¨2£©ÓÉa?b¼°£¨1£©£¬ÖªA?B??6

?C?2? 3ÔÚ?AMCÖУ¬ÓÉÓàÏÒ¶¨ÀíAC2?MC2?2AC?MCcosC?AM2 µÃa2?()2?2a??S?ABCa2??cos?(7)2£¬½âµÃa?2¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­10·Ö 2312??a2sin?3¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­.12·Ö 23a221¡¢½â£º£¨1£©P?(32Q?3)?150%?x?50%?(32Q?3)?x¡­¡­¡­¡­¡­¡­¡­¡­..3·Ö

x32????49.5(x?0)¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­6·Ö

2xx32£¨2£©P??(?)?49.5??2?4?49.5?41.5£¬¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­.10·Ö

2xx32µ±ÇÒ½öµ±?ʱ£¬¼´x?8ʱ£¬PÓÐ×î´óÖµ41.5ÍòÔª¡£

2x´ð£ºµ±Äê¹ã¸æ·ÑͶÈë8ÍòԪʱ£¬ÆóÒµÄêÀûÈó×î´ó£¬×î´óֵΪ41.5ÍòÔª¡­¡­¡­¡­¡­¡­12·Ö

n?1?22¡¢½â£º£¨1£©ÔÚ2Sn?an?1?2?1,n?NÖÐ

Áîn?1£¬µÃ2S1?a2?2?1,¼´a2?2a1?3£¬¢Ù

3Áîn?2£¬µÃ2S2?a3?2?1,¼´a3?6a1?13£¬¢Ú

2ÓÖ2(a2?5)?a1?a3£¬¢Û

ÔòÓÉ¢Ù¢Ú¢Û½âµÃa1?1¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­...4·Ö

n?1??2Sn?an?1?2?1n£¨2£©µ±n?2ʱ£¬ÓÉ?£¬µÃµ½2an?an?1?an?2,

n??2Sn?1?an?2?1ÓÅÖÊÎĵµ

ÓÅÖÊÎĵµ

Ôò

an?13an?1?(?1)¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­.6·Ö

22n2n?1a23a1?1?(1?1) 2222ÓÉ£¨1£©µÃa2?5£¬Ôò

33?a?ÊÇÒÔΪÊ×ÏΪ¹«±ÈµÄµÈ±ÈÊýÁУ¬ ?ÊýÁÐ?n?1?n22?2??an33n?1nn?1??()a?3?2£¬¼´...................................8·Ö nn222nn£¨3£©?bn?log3(an?2)£¬Ôòbn?log33?n¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­..9·Ö

ÔòTn?1111111111???........??1?????..........?? 1?22?33?4n?(n?1)2233nn?11............................................................11·Ö n?1?1??Tn?1................................................................12·Ö

ÓÅÖÊÎĵµ