ÒÑÖªÊýÁÐ{an}ÊǵȲîÊýÁУ¬ÊýÁÐ{bn}ÊǵȱÈÊýÁУ¬ÇÒ¶ÔÈÎÒâµÄn¡ÊN*£¬¶¼ÓÐa1b1£«a2b2£«a3b3£«¡¤¡¤¡¤£«anbn£½n¡¤2n+3£®
£¨1£©Èô{bn}µÄÊ×ÏîΪ4£¬¹«±ÈΪ2£¬ÇóÊýÁÐ{an£«bn}µÄÇ°nÏîºÍSn£»
£¨2£©Èôa1£½8£®
¢ÙÇóÊýÁÐ{an}Óë{bn}µÄͨÏʽ£»
¢ÚÊÔ̽¾¿£ºÊýÁÐ{bn}ÖÐÊÇ·ñ´æÔÚijһÏËü¿ÉÒÔ±íʾΪ¸ÃÊýÁÐÖÐÆäËür£¨r¡ÊN£¬r¡Ý2£©ÏîµÄºÍ£¿Èô´æÔÚ£¬ÇëÇó³ö¸ÃÏÈô²»´æÔÚ£¬Çë˵Ã÷ÀíÓÉ£®
£¨1£©Sn£½2n+2£«n2£«3n£­4£¨2£©¢Ùan£½4n£«4£¬bn£½2£¬¢Ú²»´æÔÚ

ÊÔÌâ·ÖÎö£º£¨1£©Ìõ¼þ¡°a1b1£«a2b2£«a3b3£«¡¤¡¤¡¤£«anbn¡±ÊµÖÊΪÊýÁÐÇ°nÏîµÄºÍ£¬ËùÒÔ°´ÒÑÖªÇó·½·¨½øÐл¯¼ò.¡ßa1b1£«a2b2£«a3b3£«¡¤¡¤¡¤£«anbn£½n¡¤2n+3¡àa1b1£«a2b2£«a3b3£«¡¤¡¤¡¤£«an£­1bn£­1£½(n£­1)¡¤2n+2 (n¡Ý2) Á½Ê½Ïà¼õµÃ£ºanbn£½n¡¤2n+3£­(n£­1)¡¤2n+2£½(n£«1)¡¤2n+2 (n¡Ý2) ¶øµ±n£½1ʱ£¬a1b1£½24ÊʺÏÉÏʽ£¬¡àanbn£½(n£«1)¡¤2n+2 (n¡ÊN*)¡ß{bn}ÊÇÊ×ÏîΪ4¡¢¹«±ÈΪ2µÄµÈ±ÈÊýÁÐ ¡àbn£½2n+1¡àan£½2n£«2£¬¡à{an£«bn}µÄÇ°nÏîºÍSn£½£«£½2n+2£«n2£«3n£­4£¨2£©¢ÙÓÉ£¨1£©ÓÐanbn£½(n£«1)¡¤2n+2£¬Éèan£½kn£«b£¬Ôòbn£½¡àbn£­1£½ (n¡Ý2) Éè{bn}µÄ¹«±ÈΪq£¬Ôò£½£½q¶ÔÈÎÒâµÄn¡Ý2ºã³ÉÁ¢£¬¼´k(2£­q)n2£«b(2£­q)n£«2(b£­k)£½0¶ÔÈÎÒâµÄn¡Ý2ºã³ÉÁ¢£¬¡àÓÖ¡ßa1£½8£¬¡àk£«b£½8¡àk£½b£½4£¬¡àan£½4n£«4£¬bn£½2n¢Ú´æÔÚÐÔÎÊÌ⣬һ°ã´Ó¼ÙÉè´æÔÚ³ö·¢£¬Óнâ¾Í´æÔÚ£¬ÎÞ½â¾Í²»´æÔÚ.±¾Ìâ´Ó·¶Î§½Ç¶È˵Ã÷½â²»´æÔÚ.
½â£º£¨1£©¡ßa1b1£«a2b2£«a3b3£«¡¤¡¤¡¤£«anbn£½n¡¤2n+3
¡àa1b1£«a2b2£«a3b3£«¡¤¡¤¡¤£«an£­1bn£­1£½(n£­1)¡¤2n+2 (n¡Ý2)
Á½Ê½Ïà¼õµÃ£ºanbn£½n¡¤2n+3£­(n£­1)¡¤2n+2£½(n£«1)¡¤2n+2 (n¡Ý2)
¶øµ±n£½1ʱ£¬a1b1£½24ÊʺÏÉÏʽ£¬¡àanbn£½(n£«1)¡¤2n+2 (n¡ÊN*)
¡ß{bn}ÊÇÊ×ÏîΪ4¡¢¹«±ÈΪ2µÄµÈ±ÈÊýÁÐ ¡àbn£½2n+1
¡àan£½2n£«2£¬¡à{an£«bn}µÄÇ°nÏîºÍSn£½£«£½2n+2£«n2£«3n£­4
£¨2£©¢ÙÉèan£½kn£«b£¬Ôòbn£½£¬¡àbn£­1£½ (n¡Ý2)
Éè{bn}µÄ¹«±ÈΪq£¬Ôò£½£½q¶ÔÈÎÒâµÄn¡Ý2ºã³ÉÁ¢£¬
¼´k(2£­q)n2£«b(2£­q)n£«2(b£­k)£½0¶ÔÈÎÒâµÄn¡Ý2ºã³ÉÁ¢£¬
¡à ¡à ÓÖ¡ßa1£½8£¬¡àk£«b£½8¡àk£½b£½4£¬¡àan£½4n£«4£¬bn£½2n
¢Ú¼ÙÉèÊýÁÐ{bn}ÖеÚkÏî¿ÉÒÔ±íʾΪ¸ÃÊýÁÐÖÐÆäËürÏîµÄºÍ£¬¼´£¬´Ó¶ø£¬Ò×Öªk¡Ýtr£«1 

¡àk£¼tr£«1£¬´ËÓëk¡Ýtr£«1ì¶Ü£¬´Ó¶øÕâÑùµÄÏî²»´æÔÚ£®Çó,µÈ²îÊýÁÐÓëµÈ±ÈÊýÁлù±¾ÐÔÖÊ
Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º²»Ïê ÌâÐÍ£º½â´ðÌâ

ÊýÁеÄÇ°ÏîºÍΪ£¬ÇÒÊǺ͵ĵȲîÖÐÏµÈ²îÊýÁÐÂú×㣬£®
£¨1£©ÇóÊýÁС¢µÄͨÏʽ£»
£¨2£©É裬ÊýÁеÄÇ°ÏîºÍΪ£¬Ö¤Ã÷£º£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º²»Ïê ÌâÐÍ£º½â´ðÌâ

ÒÑÖªÕýÏîÊýÁÐ{an}ÖÐ,a1=1,ÇÒlog3an,log3an+1ÊÇ·½³Ìx2(2n1)x+bn=0µÄÁ½¸öʵ¸ù.
£¨1£©Çóa2,b1;
£¨2£©ÇóÊýÁÐ{an}µÄͨÏʽ;
£¨3£©Èô,ÊÇÇ°ÏîºÍ, ,µ±Ê±,ÊԱȽÏÓëµÄ´óС.

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º²»Ïê ÌâÐÍ£º½â´ðÌâ

ÒÑÖªµÝÔöµÄµÈ±ÈÊýÁÐ{an}Âú×㣺a2+a3+a4=28£¬a3+2ÊÇa2Óëa4µÄµÈ²îÖÐÏ
£¨1£©ÇóÊýÁÐ{an}µÄͨÏʽ£»
£¨2£©¼ÙÉèbn=
an
(an+1)(an+1+1)
£¬ÆäÊýÁÐ{bn}µÄÇ°nÏîºÍTn£¬²¢½â²»µÈʽTn£¼
127
390
£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º²»Ïê ÌâÐÍ£º½â´ðÌâ

ÒÑÖªÊýÁеÄÇ°ÏîºÍΪ£¬ÇÒ.
£¨1£©ÇóÊýÁеÄͨÏʽ£»
£¨2£©É裬ÇóÊýÁеÄÇ°ÏîºÍ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º²»Ïê ÌâÐÍ£º½â´ðÌâ

ÊýÁеÄÊ×Ïî,
ÇóÊýÁеÄͨÏʽ£»
ÉèµÄÇ°ÏîºÍΪ,ÇóµÄ×îСֵ.

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º²»Ïê ÌâÐÍ£ºÌî¿ÕÌâ

.½«ÕýÆæÊý°´Ï±íµÄ¹æÂÉÌîÔÚ5ÁеÄÊý±íÖУ¬ÔòµÚ20ÐеÚ3ÁеÄÊý×ÖÓëµÚ20ÐеÚ2ÁÐÊý×ֵĺÍΪ________.
 
1
3
5
7
15
13
11
9
 
 
17
19
21
23
31
29
27
25
 
¡­
¡­
¡­
¡­
¡­
 

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º²»Ïê ÌâÐÍ£ºÌî¿ÕÌâ

ÓÐÏÞÊýÁУ¬ÎªÆäÇ°nÏîºÍ£¬¶¨ÒåµÄ¡°¿­É­ºÍ¡±£¬ÈôÓÐ99ÏîµÄÊýÁеġ°¿­É­ºÍ¡±Îª1000£¬ÔòÓÐ100ÏîµÄÊýÁеġ°¿­É­ºÍ¡±Îª         .

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÊýѧ À´Ô´£º²»Ïê ÌâÐÍ£ºÌî¿ÕÌâ

ÒÑÖªÊýÁÐÂú×㣬£¬ÇÒ£¬Ôò     

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸