ÓÖËùµÃÖùÌåµÄ¸ßEG£½6£­2x£¬

8?

ËùÒÔV£½S?EG£½(£­23)(£­x3£«3x2) £¬ÆäÖÐ0£¼x£¼3. ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­

3

10·Ö

Áîf(x)£½£­x3£«3x2£¬x¡Ê(0£¬3)£¬ÔòÓÉf?(x)£½£­3x2£«6x£½£­3x(x£­2)£½0£¬ ½âµÃx£½2£® ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­12·Ö

ÁбíÈçÏ£º (0£¬2) (2£¬3) x 2 f?(x) 0 £« £­ f(x) ¨J ¼«´óÖµ ¨K ËùÒÔµ±x£½2ʱ£¬f(x)È¡µÃ×î´óÖµ. ´ð£ºµ±BEµÄ³¤Îª2·ÖÃ×ʱ£¬ÕÛ¾í³ÉµÄ°ü×°ºÐµÄÈÝ»ý×î´ó. ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­14·Ö

32 33

18£®½â£º£¨1£©ÓÉN(3£¬)£¬Q(£¬0)£¬µÃÖ±ÏßNQµÄ·½³ÌΪy£½x£­3£®¡­¡­¡­¡­¡­¡­¡­¡­

232

2·Ö

Áîx£½0£¬µÃµãBµÄ×ø±êΪ(0£¬£­3)£®

x2y2

ËùÒÔÍÖÔ²µÄ·½³ÌΪ£«£½

a23

1 £®¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­ 4·Ö

3()2223(3)

½«µãNµÄ×ø±ê(3£¬)´úÈ룬µÃ2£«£½1£¬½âµÃa2£½4£®

2a3

x2y2

ËùÒÔÍÖÔ²CµÄ±ê×¼·½³ÌΪ£«£½

43

1£®¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­ 8·Ö

£¨2£©·½·¨Ò»£ºÉèÖ±ÏßBMµÄбÂÊΪk(k£¾0)£¬ÔòÖ±ÏßBMµÄ·½³ÌΪy£½kx£­3£®

33

ÔÚy£½kx£­3ÖУ¬Áîy£½0£¬µÃxP£½£¬¶øµãQÊÇÏ߶ÎOPµÄÖе㣬ËùÒÔxQ£½£®

k2k0£­(£­3)

ËùÒÔÖ±ÏßBNµÄбÂÊkBN£½kBQ£½£½2k£®¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­

3 £­02k

10·Ö

kx£­3£¬??y£½8 3k

ÁªÁ¢?x2y2£¬ÏûÈ¥y£¬µÃ(3£«4k2)x2£­83kx£½0£¬½âµÃxM£½2 £® 3£«4k £«£½1??43

16 3k

ÓÃ2k´úk£¬µÃxN£½ £®¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­

3£«16k2

12·Ö

¡ú¡úÓÖDN£½2NM£¬ËùÒÔxN£½2(xM£­xN)£¬µÃ2xM£½3xN£®¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­ 14·Ö

8 3k16 3k6¹Ê2?£½3?£¬ÓÖk£¾0£¬½âµÃk£½£®

23£«4k23£«16k2

¸ßÈýÊýѧÊÔÌâµÚ9Ò³£¨¹²4Ò³£©

ËùÒÔÖ±ÏßBMµÄ·½³ÌΪy£½

6x£­3£® ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­2

16·Ö

·½·¨¶þ£ºÉèµãM£¬NµÄ×ø±ê·Ö±ðΪ(x1£¬y1)£¬(x2£¬y2)£®

y1£«3

ÓÉB(0£¬£­3)£¬µÃÖ±ÏßBMµÄ·½³ÌΪy£½ x£­3£¬

x1

3x1

Áîy£½0£¬µÃxP£½£®

y1£«33x2

ͬÀí£¬µÃxQ£½£®

y2£«3

3x13x2

¶øµãQÊÇÏ߶ÎOPµÄÖе㣬ËùÒÔxP£½2xQ£¬¹Ê£½2?£® ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­

y1£«3y2£«3

10·Ö

4

¡ú¡ú321ÓÖDN£½2NM£¬ËùÒÔx2£½2(x1£­x2)£¬µÃx2£½x1£¾0£¬´Ó¶ø£½£¬

3y1£«3y2£«3

4

½âµÃy2£½y1£«

3

3

£®¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­12·Ö 3

2x2£½x1£¬

3x12(4y1£«3)2

½«´úÈëµ½ÍÖÔ²CµÄ·½³ÌÖУ¬µÃ£«£½1£®

92743

y2£½y1£«£¬

33

y12

4(1£­)23(4y1£«3)2y12

ÓÖx1£½4(1£­)£¬ËùÒÔ£«£½

3927

1£¬¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­14·Ö

¼´3y12£«2y1£­3£½0£¬

34 23

½âµÃy1£½£­3£¨Éᣩ»òy1£½£®ÓÖx1£¾0£¬ËùÒÔµãMµÄ×ø±êΪM(£¬)£®

333

6

¹ÊÖ±ÏßBMµÄ·½³ÌΪy£½x£­

2

3£®¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­ 16·Ö 19£®½â£º£¨1£©ÓÉÌâÒ⣬¿ÉµÃan2£½(an£«d)(an£­d)£«?d2£¬

»¯¼òµÃ(?£­1)d2£½0£¬ÓÖd¡Ù0£¬ËùÒÔ?£½1. ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­4·Ö

£¨2£©½«a1£½1£¬a2£½2£¬a3£½4´úÈëÌõ¼þ£¬¿ÉµÃ4£½1?4£«?£¬½âµÃ?£½0£¬

£­

ËùÒÔan2£½an£«1an£­1£¬ËùÒÔÊýÁÐ{an}ÊÇÊ×ÏîΪ1£¬¹«±Èq£½2µÄµÈ±ÈÊýÁУ¬ËùÒÔan£½2n

1. ¡­¡­¡­6·Ö

£­£­

Óû´æÔÚr¡Ê[3£¬7]£¬Ê¹µÃm?2n1¡Ýn£­r£¬¼´r¡Ýn£­m?2n1¶ÔÈÎÒân¡ÊN*¶¼³ÉÁ¢£¬

n£­7£­1

Ôò7¡Ýn£­m?2n£¬ËùÒÔm¡Ýn£­1 ¶ÔÈÎÒân¡ÊN*¶¼³É

2

Á¢. ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­8·Ö

???

¸ßÈýÊýѧÊÔÌâµÚ10Ò³£¨¹²4Ò³£©

n£­7n£­6n£­78£­n

Áîbn£½n£­1£¬Ôòbn£«1£­bn£½n£­n£­1£½n£¬

2222

ËùÒÔµ±n£¾8ʱ£¬bn£«1£¼bn£»µ±n£½8ʱ£¬b9£½b8£»µ±n£¼8ʱ£¬bn£«1£¾bn£®

1

ËùÒÔbnµÄ×î´óֵΪb9£½b8£½ £¬ËùÒÔmµÄ×îСֵΪ

1281

.¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­10·Ö 128

£¨3£©ÒòΪÊýÁÐ{an}²»Êdz£ÊýÁУ¬ËùÒÔT¡Ý2£®

?a22£½a12£«?(a2£­a1)2£¬

¢ÙÈôT£½2£¬Ôòan£«1£½anºã³ÉÁ¢£¬´Ó¶øa3£½a1£¬a4£½a2£¬ËùÒÔ?2

?a1£½a22£«?(a2£­a1)2£¬

ËùÒÔ?(a2£­a1)2£½0£¬ÓÖ?¡Ù0£¬ËùÒÔa2£½a1£¬¿ÉµÃ{an}Êdz£ÊýÁУ¬ÕâÓëÒÑÖªÌõ¼þì¶Ü£¬ ËùÒÔT£½2²»ºÏÌâÒâ. ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­12·Ö

??1£¬n£½3k£­2£¬

¢ÚÈôT£½3£¬È¡an£½?2£¬n£½3k£­1£¬(k¡ÊN*)£¨*£©£¬Âú×ãan£«3£½anºã³ÉÁ¢£®¡­¡­¡­¡­¡­¡­¡­¡­

??£­3£¬n£½3k£¬

14·Ö

ÓÉa22£½a1a3£«?(a2£­a1)2£¬¿ÉµÃ´Ëʱ?£½7£® ÔòÌõ¼þʽ±äΪan2£½an£«1an£­1£«7£®

ÓÉ22£½1?3£«7£¬Öªa3k£­12£½a3k£­2a3k£«?(a2£­a1)2£» ÓÉ(£­3)2£½2?1£«7£¬Öªa3k2£½a3k£­1a3k£«1£«?(a2£­a1)2£» ÓÉ12£½(£­3)?2£«7£¬Öªa3k£«12£½a3ka3k£«2£«?(a2£­a1)2£» ËùÒÔ£¬ÊýÁУ¨*£©ÊʺÏÌâÒ⣮ ËùÒÔTµÄ×îСֵΪ3. ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­16·Ö

£¨×¢£ºÐ´Ò»¸öÊýÁÐ{an}ʱ£¬ÐèÂú×ãa1£«a2£«a3£½0£¬ÇÒa1¡Ùa2£®£©

1

20£®½â£º£¨1£©ÓÉf(x)£½lnx£¬µÃf(1)£½0£¬ÓÖf?(x)£½£¬ËùÒÔf?(1)£½1£®

x

bb

µ±c£½0ʱ£¬g(x)£½ax£« £¬ËùÒÔg?(x)£½a£­2 £¬ËùÒÔg?(1)£½a£­b£®¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­

xx

2·Ö

ÒòΪº¯Êýf(x)Óëg(x)µÄͼÏóÔÚx£½1´¦ÓÐÏàͬµÄÇÐÏߣ¬

?f?(1)£½g?(1)£¬?a£­b£½1£¬??ËùÒÔ¼´½âµÃ?f(1)£½g(1)£¬?a£«b£½0£¬

1a£½£¬2

1 ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­4·Ö b£½£­£®2

£¨2£©·½·¨Ò»£ºµ±x0£¾1ʱ£¬Ôòf(x0)£¾0£¬ÓÖb£½3£­a£¬Éèt£½f(x0)£¬

3£­a

ÔòÌâÒâ¿Éת»¯Îª·½³Ìax£«£­c£½t(t£¾0) ÔÚ(0£¬£«¡Þ)ÉÏÓÐÏàÒìÁ½Êµ¸ùx1£¬

x

x2£¬ ¡­¡­¡­¡­¡­6·Ö

¼´¹ØÓÚxµÄ·½³Ìax2£­(c£«t)x£«(3£­a)£½0(t£¾0)ÔÚ(0£¬£«¡Þ)ÉÏÓÐÏàÒìÁ½Êµ¸ùx1£¬x2£®

???

¸ßÈýÊýѧÊÔÌâµÚ11Ò³£¨¹²4Ò³£©

0£¼a£¼3£¬

¡÷£½(c£«t)2£­4a(3£­a)£¾0£¬

3£¬??0£¼a£¼c£«t

ËùÒÔx1£«x2£½µÃ?(c£«t)2£¾4a(3£­a)£¬ £¾0£¬

a

??c£«t£¾0£®

3£­ax1x2£½£¾0£®

a

ËùÒÔc£¾2a(3£­a)£­t ¶ÔÈÎÒât¡Ê(0£¬£«¡Þ)ºã³ÉÁ¢£®¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­ 8·Ö

a£«3£­a3

ÒòΪ0£¼a£¼3£¬ËùÒÔ2a(3£­a)¡Ü2?£½3(µ±ÇÒ½öµ±a£½Ê±È¡µÈºÅ)£®

22

ÓÖ£­t£¼0£¬ËùÒÔ2a(3£­a)£­tµÄÈ¡Öµ·¶Î§ÊÇ(£­¡Þ£¬3)£¬ËùÒÔc¡Ý3£® ¹ÊcµÄ×îСֵΪ3. ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­10·Ö

3£­aax2£­(3£­a)3£­a

·½·¨¶þ£ºÓÉb£½3£­a£¬ÇÒ0 £¼a£¼3£¬µÃg?(x)£½a£­2£½£½0£¬µÃ x£½

xx2a

3£­a

»òx£½£­(Éá)£¬

a

3£­a3£­a

Ôòº¯Êýg(x)ÔÚ(0£¬)Éϵݼõ£»ÔÚ(£¬£«¡Þ)ÉϵÝÔö£®

aa

ÓÖ¶ÔÈÎÒâx0£¾1£¬f(x0)Ϊ(0£¬£«¡Þ)ÉϵÄÈÎÒâÒ»¸öÖµ£¬Èô´æÔÚ²»ÏàµÈµÄÕýʵÊýx1£¬x2£¬ ʹµÃg(x1)£½g(x2)£½f(x0)£¬Ôòg(x)µÄ×îСֵСÓÚ»òµÈÓÚ0.

3£­a

¼´g()£½2a(3£­a)£­c¡Ü0£¬ ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­

a

6·Ö

¼´c¡Ý2a(3£­a)¶ÔÈÎÒâ a¡Ê(0£¬3)ºã³ÉÁ¢£®

ÓÖ2a(3£­a)¡Üa£«(3£­a)£½3£¬ËùÒÔc¡Ý3£®¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­ 8·Ö

µ±c£½3£¬¶ÔÈÎÒâa¡Ê(0£¬3)£¬x0¡Ê(1£¬£«¡Þ)£¬·½³Ìg(x)£­f(x0)£½0»¯Îª

3£­aax£«£­3£­f(x0)£½0£¬¼´ax2£­[3£«f(x0)]x£«(3£­a)£½0£¨*£©

x

¹ØÓÚxµÄ·½³Ì£¨*£©µÄ¡÷£½[3£«f(x0)]2£­4a(3£­a)

a£«3£­a?2

¡Ý[3£«f(x0)]2£­4?

2??

£½[3£«f(x0)]2£­9,

ÒòΪx0£¾1£¬ËùÒÔf(x0)£½lnx0£¾0£¬ËùÒÔ¡÷£¾0£¬

f(x0)£«33£­a

ËùÒÔ·½³Ì£¨*£©ÓÐÁ½¸ö²»ÏàµÈµÄʵÊý½âx1£¬x2£¬ÓÖx1£«x2£½£¾0£¬x1x2£½£¾0£¬

aa

ËùÒÔx1£¬x2ΪÁ½¸öÕýʵÊý½â£® ËùÒÔcµÄ×îСֵΪ3. ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­10·Ö £¨3£©µ±a£½1ʱ£¬ÒòΪº¯Êýf(x)Óëg(x)µÄͼÏó½»ÓÚA£¬BÁ½µã£¬

?????

¸ßÈýÊýѧÊÔÌâµÚ12Ò³£¨¹²4Ò³£©