²é¿´: 929  |  »Ø¸´: 7
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

·ÆÄã²»°®

Òø³æ (³õÈëÎÄ̳)

[ÇóÖú] Ö¤Ã÷²»µÈʽ

ÒÑÖªab+bc+ac=1,Ö¤Ã÷²»µÈʽÇÐa,b,c¾ù´óÓÚµÈÓÚ0£¬ÇóÖ¤1/(a+b)+1/(b+c)+1/(a+c)´óÓÚµÈÓÚ2.5.
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

acmuser

Òø³æ (СÓÐÃûÆø)

Apparently when a=b=1, c=0, the inequality takes value 2.5, which suggests that a,b,c are not symmetric in the problem.


5Â¥2012-05-13 22:19:53
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 8 ¸ö»Ø´ð

Jackie2011

ľ³æ (ÕýʽдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
ͨ·ÖºóÀûÓÃÌõ¼þ,»¯³Éa+b+cµÄ¶þ´Î·½³Ì,ÔÙÓÃÅб𷨿ÉÖ¤!
ѧºÃÍâÓ²»ÍüÊýѧ£¡
2Â¥2012-05-13 20:46:39
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

·ÆÄã²»°®

Òø³æ (³õÈëÎÄ̳)

ÒýÓûØÌû:
2Â¥: Originally posted by Jackie2011 at 2012-05-13 20:46:39:
ͨ·ÖºóÀûÓÃÌõ¼þ,»¯³Éa+b+cµÄ¶þ´Î·½³Ì,ÔÙÓÃÅб𷨿ÉÖ¤!

ÏêϸµãÄØ
3Â¥2012-05-13 21:24:33
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

·ÆÄã²»°®

Òø³æ (³õÈëÎÄ̳)

ÒýÓûØÌû:
2Â¥: Originally posted by Jackie2011 at 2012-05-13 20:46:39:
ͨ·ÖºóÀûÓÃÌõ¼þ,»¯³Éa+b+cµÄ¶þ´Î·½³Ì,ÔÙÓÃÅб𷨿ÉÖ¤!

ÏêϸµãÄØ
4Â¥2012-05-13 21:51:19
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 291 Çóµ÷¼Á +6 »¯¹¤2026½ì±ÏÒµÉ 2026-03-21 7/350 2026-03-26 02:14 by BruceLiu320
[¿¼ÑÐ] 299Çóµ÷¼Á +4 15188958825 2026-03-25 4/200 2026-03-25 22:56 by 418490947
[¿¼ÑÐ] ×Ü·Ö293Çóµ÷¼Á +4 ¼ÓÒ»Ò»¾Å 2026-03-25 6/300 2026-03-25 22:34 by barlinike
[¿¼ÑÐ] »úеѧ˶×Ü·Ö317Çóµ÷¼Á£¡£¡£¡£¡ +4 Acaciad 2026-03-25 4/200 2026-03-25 19:59 by hanserlol
[¿¼ÑÐ] 311Çóµ÷¼Á +4 Ó¸ҵÄСÎâ 2026-03-20 4/200 2026-03-25 18:12 by xcjcqu
[¿¼ÑÐ] ¡¾2026¿¼Ñе÷¼Á¡¿ÖÆÒ©¹¤³Ì 284·Ö ÇóÏà¹Ø×¨Òµµ÷¼ÁÃû¶î +4 Ô¬Û¼Û¼ 2026-03-25 8/400 2026-03-25 14:32 by lbsjt
[¿¼ÑÐ] 085602 289·ÖÇóµ÷¼Á +7 WWWÎ÷Î÷¸¥Ë¹ 2026-03-24 7/350 2026-03-25 14:28 by 3Strings
[¿¼ÑÐ] ÉúÎïѧѧ˶Çóµ÷¼Á +7 СÑò˯×ÅÁË? 2026-03-23 10/500 2026-03-25 02:24 by Çå·ç·÷Ñï¡£ m
[¿¼ÑÐ] ²ÄÁϵ÷¼Á +6 Æ¥¿Ëi 2026-03-23 6/300 2026-03-24 21:09 by greychen00
[¿¼ÑÐ] 300·Ö£¬²ÄÁÏ£¬Çóµ÷¼Á£¬Ó¢Ò»Êý¶þ +5 ³¬ÔÞµÄ 2026-03-24 5/250 2026-03-24 21:07 by ÐÇ¿ÕÐÇÔÂ
[¿¼ÑÐ] 307Çóµ÷¼Á +5 ³¬¼¶ÒÁ°º´óÍõ 2026-03-24 5/250 2026-03-24 15:46 by ÐÇ¿ÕÐÇÔÂ
[¿¼ÑÐ] 279·ÖÇóµ÷¼Á Ò»Ö¾Ô¸211 +18 chaojifeixia 2026-03-19 20/1000 2026-03-24 10:34 by dolphin_ycj
[¿¼ÑÐ] Ò»Ö¾Ô¸070300Õã´ó»¯Ñ§358·Ö£¬Çóµ÷¼Á£¡ +4 ËÖËÖÓã.. 2026-03-21 4/200 2026-03-23 08:12 by Iveryant
[¿¼ÑÐ] 280·ÖÇóµ÷¼Á Ò»Ö¾Ô¸085802 +4 PUMPT 2026-03-22 7/350 2026-03-22 22:13 by ÐÇ¿ÕÐÇÔÂ
[¿¼ÑÐ] Ò»Ö¾Ô¸»ªÖпƼ¼´óѧ071000£¬Çóµ÷¼Á +4 ÑØ°¶Óб´¿Ç6 2026-03-21 4/200 2026-03-22 07:21 by ilovexiaobin
[¿¼ÑÐ] Çóµ÷¼Á +3 °×QF 2026-03-21 3/150 2026-03-21 13:12 by zhukairuo
[¿¼ÑÐ] Çóµ÷¼ÁÒ»Ö¾Ô¸ÄϾ©º½¿Õº½Ìì´óѧ289·Ö +3 @taotao 2026-03-19 3/150 2026-03-20 21:34 by JourneyLucky
[¿¼ÑÐ] 295¸´ÊÔµ÷¼Á +8 ¼òľChuFront 2026-03-19 8/400 2026-03-20 20:44 by zhukairuo
[¿¼ÑÐ] Çóµ÷¼Á +3 @taotao 2026-03-20 3/150 2026-03-20 19:35 by JourneyLucky
[¿¼ÑÐ] 320Çóµ÷¼Á0856 +3 ²»ÏëÆðÃû×Ö112 2026-03-19 3/150 2026-03-19 22:53 by ѧԱ8dgXkO
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û