¸ß¿¼ÊýѧһÂÖ¸´Ï° µÚ¶þÕ º¯Êý¸ÅÄîÓë»ù±¾³õµÈº¯ÊýI 2.

¡¾²½²½¸ß¡¿£¨½­ËÕרÓã©2017°æ¸ß¿¼ÊýѧһÂÖ¸´Ï° µÚ¶þÕ º¯Êý¸ÅÄî

Óë»ù±¾³õµÈº¯ÊýI 2.2 º¯ÊýµÄµ¥µ÷ÐÔÓë×îÖµ ÎÄ

1£®º¯ÊýµÄµ¥µ÷ÐÔ (1)µ¥µ÷º¯ÊýµÄ¶¨Òå

Ôöº¯Êý ¼õº¯Êý Ò»°ãµØ£¬É躯Êýy£½f(x)µÄ¶¨ÒåÓòΪA£¬Çø¼äI?A£¬Èç¹û¶ÔÓÚÇø¼äIÄÚµÄÈÎÒâÁ½¸öÖµx1£¬x2 ¶¨ Òå µ±x1f(x2)£¬ÄÇô¾Í˵º¯Êýf(x)ÔÚÇø¼äIÉÏÄÇô¾Í˵º¯Êýf(x)ÔÚÇø¼äIÉÏÊÇÔöº¯Êý ÊǼõº¯Êý 1

ͼÏóÃèÊö ×Ô×óÏòÓÒ¿´Í¼ÏóÊÇÉÏÉýµÄ (2)µ¥µ÷Çø¼äµÄ¶¨Òå ×Ô×óÏòÓÒ¿´Í¼ÏóÊÇϽµµÄ Èç¹ûº¯Êýy£½f(x)ÔÚÇø¼äIÉÏÊǵ¥µ÷Ôöº¯Êý»òµ¥µ÷¼õº¯Êý£¬ÄÇô¾Í˵º¯Êýy£½f(x)ÔÚÇø¼äIÉϾßÓе¥µ÷ÐÔ£¬Çø¼äI½Ð×öy£½f(x)µÄµ¥µ÷Çø¼ä£® 2£®º¯ÊýµÄ×îÖµ Ç°Ìá Ìõ¼þ ½áÂÛ ¡¾Ë¼¿¼±æÎö¡¿ ÅжÏÏÂÃæ½áÂÛÊÇ·ñÕýÈ·(ÇëÔÚÀ¨ºÅÖдò¡°¡Ì¡±»ò¡°¡Á¡±)

(1)ÔÚÔöº¯ÊýÓë¼õº¯ÊýµÄ¶¨ÒåÖУ¬¿ÉÒÔ°Ñ¡°ÈÎÒâÁ½¸öÖµx1£¬x2¡±¸ÄΪ¡°´æÔÚÁ½¸öÖµx1£¬

É躯Êýy£½f(x)µÄ¶¨ÒåÓòΪA£¬Èç¹û´æÔÚx0¡ÊA£¬Ê¹µÃ ¶ÔÓÚÈÎÒâµÄx¡ÊA£¬¶¼ÓÐf(x)¡Üf(x0) ¶ÔÓÚÈÎÒâµÄx¡ÊA£¬¶¼ÓÐf(x)¡Ýf(x0) f(x0)Ϊ×î´óÖµ f(x0)Ϊ×îСֵ x2¡±£®( ¡Á )

(2)¶ÔÓÚº¯Êýf(x)£¬x¡ÊD£¬Èôx1£¬x2¡ÊDÇÒ(x1£­x2)¡¤[f(x1)£­f(x2)]>0£¬Ôòº¯Êýf(x)ÔÚDÉÏÊÇÔöº¯Êý£®( ¡Ì )

(3)º¯Êýy£½f(x)ÔÚ[1£¬£«¡Þ)ÉÏÊÇÔöº¯Êý£¬Ôòº¯ÊýµÄµ¥µ÷µÝÔöÇø¼äÊÇ[1£¬£«¡Þ)£®( ¡Á ) 1

(4)º¯Êýy£½µÄµ¥µ÷µÝ¼õÇø¼äÊÇ(£­¡Þ£¬0)¡È(0£¬£«¡Þ)£®( ¡Á )

x(5)ËùÓеĵ¥µ÷º¯Êý¶¼ÓÐ×îÖµ£®( ¡Á )

(6)¶ÔÓÚº¯Êýy£½f(x)£¬Èôf(1)

2

12x1£®ÏÂÁк¯ÊýÖУ¬¢Ùy£½£­x£»¢Úy£½x£­x£»¢Ûy£½ln x£­x£»¢Üy£½e£­x£¬ÔÚÇø¼ä(0£¬£«¡Þ)ÄÚ

xµ¥µ÷µÝ¼õµÄÊÇ__________£® ´ð°¸ ¢Ù

11

½âÎö ¶ÔÓÚ¢Ù£¬y1£½ÔÚ(0£¬£«¡Þ)ÄÚÊǼõº¯Êý£¬y2£½xÔÚ(0£¬£«¡Þ)ÄÚÊÇÔöº¯Êý£¬Ôòy£½£­xxxÔÚ(0£¬£«¡Þ)ÄÚÊǼõº¯Êý£»¢Ú£¬¢Û£¬¢Üº¯ÊýÔÚ(0£¬£«¡Þ)ÉϾù²»µ¥µ÷£®

2£®Èôº¯Êýf(x)£½|2x£«a|µÄµ¥µ÷µÝÔöÇø¼äÊÇ[3£¬£«¡Þ)£¬ÔòaµÄֵΪ________£® ´ð°¸ £­6

½âÎö ÓÉͼÏóÒ×Öªº¯Êýf(x)£½|2x£«a|µÄµ¥µ÷ÔöÇø¼äÊÇ[£­£¬£«¡Þ)£¬Á£½3£¬¡àa£½£­6.

223£®É躯Êýy£½x£­2x£¬x¡Ê[£­2£¬a]£¬Èôº¯ÊýµÄ×îСֵΪg(a)£¬Ôòg(a)£½________.

??a£­2a£¬£­2¡Üa<1£¬

´ð°¸ ?

?£­1£¬a¡Ý1?

2

2

2

aa

2

½âÎö ¡ßº¯Êýy£½x£­2x£½(x£­1)£­1£¬ ¡à¶Ô³ÆÖáΪֱÏßx£½1.

µ±£­2¡Üa<1ʱ£¬º¯ÊýÔÚ[£­2£¬a]Éϵ¥µ÷µÝ¼õ£¬ Ôòµ±x£½aʱ£¬ymin£½a£­2a£»

µ±a¡Ý1ʱ£¬º¯ÊýÔÚ[£­2,1]Éϵ¥µ÷µÝ¼õ£¬ÔÚ[1£¬a]Éϵ¥µ÷µÝÔö£¬ Ôòµ±x£½1ʱ£¬ymin£½£­1.

??a£­2a£¬£­2¡Üa<1£¬×ÛÉÏ£¬g(a)£½?

?£­1£¬a¡Ý1.?

2

2

4£®(½Ì²Ä¸Ä±à)ÒÑÖªº¯Êýf(x)£½

2

£¬x¡Ê[2,6]£¬Ôòf(x)µÄ×î´óֵΪ________£¬×îСֵΪx£­1

3

________£® 2

´ð°¸ 2

5

½âÎö ¿ÉÅжϺ¯Êýf(x)£½2. 5

5£®(½Ì²Ä¸Ä±à)ÒÑÖªº¯Êýf(x)£½x£­2ax£­3ÔÚÇø¼ä[1,2]ÉϾßÓе¥µ÷ÐÔ£¬ÔòʵÊýaµÄÈ¡Öµ·¶Î§Îª________________________________________________________________________£® ´ð°¸ (£­¡Þ£¬1]¡È[2£¬£«¡Þ)

½âÎö º¯Êýf(x)£½x£­2ax£­3µÄͼÏ󿪿ÚÏòÉÏ£¬¶Ô³ÆÖáΪֱÏßx£½a£¬»­³ö²ÝͼÈçͼËùʾ£®

2

2

2

ÔÚ[2,6]ÉÏΪ¼õº¯Êý£¬ËùÒÔf(x)max£½f(2)£½2£¬f(x)min£½f(6)£½x£­1

ÓÉͼÏó¿ÉÖªº¯ÊýÔÚ(£­¡Þ£¬a]ºÍ[a£¬£«¡Þ)É϶¼¾ßÓе¥µ÷ÐÔ£¬Òò´ËҪʹº¯Êýf(x)ÔÚÇø¼ä[1,2]ÉϾßÓе¥µ÷ÐÔ£¬Ö»Ðèa¡Ü1»òa¡Ý2£¬´Ó¶øa¡Ê(£­¡Þ£¬1]¡È[2£¬£«¡Þ)£®

4

ÁªÏµ¿Í·þ£º779662525#qq.com(#Ì滻Ϊ@)