ÓÅÖÊÎĵµ
¸ß¶þÊýѧÎĿƴ𰸠һ¡¢Ñ¡ÔñÌâ ÌâºÅ ´ð°¸ 1 B 2 C 3 A 4 D 5 A 6 D 7 B 8 B 9 D 10 B 11 C 12 A ¶þ¡¢Ìî¿ÕÌâ
ÌâºÅ ´ð°¸ 13 -2 214 £1 15 16 ¢Ú y??3x3 17.£¨1£©m?1£¬f?x??x; ¡¡¡¡5·Ö
£¨2£©ÓÉ£¨¢ñ£©Öªg?x??log2?x2?2x?3£¬ÓÉ?x?2x?3?0µÃ?3?x?1£¬ËùÒÔg(x)2??µÄ¶¨ÒåÓòΪ(?3,1)¡£¡¡¡¡9·Ö
Éèt??x?2x?3,x?(?3,1)£¬Ôòt??0,?4£¬´Ëʱg?x?µÄÖµÓò£¬¾ÍÊǺ¯Êý
2y?log2t,t??0,4?µÄÖµÓò.y?log2tÔÚÇø¼ä?0,4?ÉÏÊÇÔöº¯Êý£¬ËùÒÔy????,2?£»
ËùÒÔº¯Êýg?x?µÄÖµÓòΪ???,2?.¡¡¡¡12·Ö.
18£®½âÎö£º£¨¢ñ£©(1)ÓÉ·Ö²ã³éÑùÖªÔÚÊеÚÒ»Ò½Ôº³öÉúµÄ±¦±¦ÓÐ7?4?4¸ö,ÆäÖÐÒ»º¢±¦±¦ÓÐ72¸ö. (2) ÔÚ³éÈ¡7¸ö±¦±¦ÖÐ,ÊÐÒ»Ôº³öÉúµÄÒ»º¢±¦±¦2ÈË,·Ö±ð¼ÇΪA1,B1,¶þº¢±¦±¦2ÈË,·Ö±ð¼ÇΪa1,b1,¸¾Ó×±£½¡Ôº³öÉúµÄÒ»º¢±¦±¦2ÈË,·Ö±ð¼ÇΪA2,B2,¶þº¢±¦±¦1ÈË,¼ÇΪa2,´Ó7ÈËÖгéÈ¡2È˵ÄÒ»ÇпÉÄܽá¹ûËù×é³ÉµÄ»ù±¾Ê¼þ¿Õ¼äΪ¡ 5ÓÃA±íʾ£º¡°Á½¸ö±¦±¦Ç¡³öÉú²»Í¬Ò½ÔºÇÒ¾ùÊô¶þº¢¡±£¬ÔòA?{(a1,a2),(b1,a2)}
?P(A)?2¡¡¡¡ 6·Ö
21
µÚÒ»Ò½Ôº ¸¾Ó×±£½¡Ôº ºÏ ¼Æ 40 30 70 Ò»º¢ 20 20 ¶þº¢ 20 10 ºÏ¼Æ 40 30 ±í
£¨¢ò£©2?2ÁÐÁª
ÓÅÖÊÎĵµ
ÓÅÖÊÎĵµ
¡¡¡¡ 8·Ö
70??20?10?20?20?70K???1.944?2.072£¬¹ÊûÓÐ85£¥µÄ°ÑÎÕÈÏΪһº¢¡¢
40?30?40?303622¶þº¢±¦±¦µÄ³öÉúÓëÒ½ÔºÓйØ. ¡¡¡¡ 12·Ö 19£®½âÎö£º£¨1£©ÓÉÒÑÖª£¬AF?BF£¬AD?BF,ÇÒAF?AD?A£¬¹Ê
BF?Æ½ÃæADF£¬ËùÒÔÆ½ÃæADF?Æ½ÃæCBF. ¡¡¡¡ 5·Ö
£¨2£©ÒòAD´¹Ö±ÓÚµ×Ãæ£¬ÈôDFÓëµ×ÃæËù³É½ÇΪ
??£¬Ôò?AFD?£¬¹ÊAF?1, 44ÔòËÄÀâ×¶F?ABCDµÄ¸ßΪ
3133£¬ÓÖSABCD?2£¬VF?ABCD??£»ÈýÀâ?2?2323×¶C?BEFµÄ¸ßΪ1£¬¶ø?BEFÖУ¬BE?BF?1£¬?BEF?120o£¬ËùÒÔSBEF?3£¬4ÔòVC?BEF?53133£¬ËùÒÔ¼¸ºÎÌåEF?ABCDµÄÌå»ýΪ. ¡¡¡12·Ö ?1??123412f?(x)?1?lnx?2ax£¬
20£®£¨1£©½â£º¶Ôf(x)Çóµ¼£¬µÃµÃ
2f?(1)?1?2a??1£¬
a??1£¬ f(x)?xlnx?x?1. ¡¡¡¡¡¡¡5·Ö
x2£¨2£©Ö¤Ã÷£º¡°º¯Êýy?f(x)?xe?xµÄͼÏóÔÚÖ±Ïßy??x?1µÄÏ·½¡±µÈ¼ÛÓÚ¼´ÒªÖ¤
xlnx?ex?1?0£¬ ËùÒÔÖ»ÒªÖ¤. h(x)?lnx?e?1£¬ h?(x)?1?ex £¬xÇ÷ÓÚ0ʱ£¬x1x0 µÈ¼ÛÓÚ
xh?(x)?0£¬´æÔÚÒ»¸ö¼«Öµx0?(0,1) ʹµÃe0?h(x)?lnx0?1?1(0?x0?1) ËùÒÔh(x)?0 x0 ¹Êº¯Êýy?f(x)?xex?x2µÄͼÏóÔÚÖ±Ïßy??x?1µÄÏ·½. ¡¡¡¡¡¡¡12
x2?y2?1 21 £¨1£©4£¨¢ò£©½â·¨Ò»£º¼ÙÉè´æÔÚ.ÉèP(x0,y0) M(4,m) N(4,n) ÓÉ
ÒÑ
Öª
¿É
µÃ
A(0,B1?) £¬ËùÒÔAPµÄÖ±Ïß·½³ÌΪ
ÓÅÖÊÎĵµ
ÓÅÖÊÎĵµ
y?y0?1x?1£¬ ¡¡¡¡¡¡¡¡¡.6·Ö x0BPµÄÖ±Ïß·½³ÌΪy?y0?14(y0?1)x?1£¬Áîx?4£¬·Ö±ð¿ÉµÃm??1£¬x0x0n?4(y0?1)?1£¬ ¡¡¡¡¡¡¡¡¡.8·Ö x0 MN?m?n?2?8£¬ ¡¡¡¡¡¡¡¡¡.9·Ö x04y0)£¬ ÈôÒÔMNΪֱ¾¶µÄÔ²¾¹ýµã(2,0)Ôòx0 ÏßMNµÄÖеã(4,(4?2)2?(4y04?0)2?(1?)2, ¡¡¡¡¡¡¡¡¡.10 x0x08x02µãPÔÚÍÖÔ²ÉÏ£¬ËùÒÔ?y02?1£¬´úÈ뻯¼òµÃ1??0£¬¡¡¡¡¡.11
x04ËùÒÔx0?8¶øx0???2£¬2?ì¶ÜËùÒÔÕâÑùµÄµãP²»´æÔÚ. ¡¡¡¡¡¡¡¡¡.12
0). ÉèP(x,y) M(4,m) N(4,n) ½â·¨¶þ£º¼ÙÉè´æÔÚ£¬¼ÇD(2£¬00ÓÉ
ÒÑ
Öª
¿É
µÃ
A(0,B1?) £¬ËùÒÔAPµÄÖ±Ïß·½³ÌΪ
y?y0?1x?1£¬ ¡¡¡¡¡¡¡¡¡.6·Ö x0y0?14(y0?1)x?1£¬Áîx?4£¬·Ö±ð¿ÉµÃm??1£¬x0x0BPµÄÖ±Ïß·½³ÌΪy?n?Òò
4(y0?1)?1£¬ ¡¡¡¡.8·ÖËùÒÔ x0Ϊ
M(4,4(y?1)4(y0?1)?1)?1),N(4£¬0x0x0¾¶
£¬
Ëù
MNΪֱÒÔ
DM?DM?0 ¡¡¡¡¡¡¡¡¡.9·Ö
Ëù
ÒÔ
DM?DN?(2,4(y0?1)4(y0?1)?1)?(2,?1)?0x0x0ËùÒÔ
ÓÅÖÊÎĵµ
ÓÅÖÊÎĵµ
16y02?(4?x0)2DM?DN?4??0 ¡¡¡¡¡¡¡¡¡.10
x02x02ÒòΪµãPÔÚÍÖÔ²ÉÏ£¬ËùÒÔ?y02?1£¬ ¡¡¡¡¡¡¡¡¡.
4?4x02?8x0?x´úÈëµÃµ½DM?DN?4?x02208x?0x?x0220?0 ËùÒÔ x0?8£¬Õâ
x0?[?2,2] ²»´æÔÚ¡¡¡¡¡¡¡¡¡.12 ì¶Ü
23.½âÎö£º£¨¢ñ£©µ±??µ±???2ʱ£¬Ö±ÏßlµÄÆÕͨ·½³ÌΪx??1£»
?2ʱ£¬Ö±ÏßlµÄÆÕͨ·½³ÌΪy?(x?1)tan?. ¡¡¡¡ 2·Ö
x2+y2=2x£¬¼´ÎªÇúÏßCµÄÖ±½Ç×ø±ê·½³Ì. ¡¡¡¡ 4·Ö
£¨¢ò£© µ±Ö±ÏßlµÄÆÕͨ·½³ÌΪx??1£¬²»·ûºÏ
2tana1?tan2a?1 ?33?tana? ¡¡¡¡ 10·Ö 3324£®½âÎö£º£¨¢ñ£©a?2ʱ£¬f(x)?1¾ÍÊÇx?3?x?2?1.
×ÛÉÏ¿ÉÖª£¬²»µÈʽf(x)?1µÄ½â¼¯ÊÇ(0£¬??). ¡¡¡¡5·Ö (¢ò) ÒòΪf(x)?x?3?x?a¡Ü(x?3)?(x?a)?a?3£¬
ËùÒÔf(x)µÄ×î´óֵΪa?3.¶ÔÓÚÈÎÒâʵÊýx£¬ºãÓÐf(x)¡Ü2a³ÉÁ¢µÈ¼ÛÓÚa?3¡Ü2a. µ±a¡Ý?3ʱ£¬a?3¡Ü2a£¬µÃa¡Ý3£»µ±a??3ʱ£¬?a?3¡Ü2a£¬a¡Ý?1£¬²»³ÉÁ¢. ×ÛÉÏ£¬ËùÇóaµÄȡֵ·¶Î§ÊÇ[3£¬??). ¡¡¡¡ 10·Ö
ÓÅÖÊÎĵµ