±±¾©Ê¯ÓÍ»¯¹¤Ñ§Ôº2026ÄêÑо¿ÉúÕÐÉú½ÓÊÕµ÷¼Á¹«¸æ
²é¿´: 737  |  »Ø¸´: 5
µ±Ç°Ö÷ÌâÒѾ­´æµµ¡£
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

yongyuan734

ľ³æ (ÕýʽдÊÖ)

[½»Á÷] ¡¾Ô­´´¡¿Ê³Æ·µÄÓªÑøËØËðʧ¼°±£ÖÊÆÚµÄÏà¹Ø¼ÆË㡾ÒÑËÑÎÞÖØ¸´¡¿

×î½üÐÂѧµÄʳƷ±£²ØÔ­Àí£¬µ«ÊÇ·¢ÏÖºÜÉÙÓвο¼ÊéÉÏÓÐÏà¹ØÓªÑøËØËðʧºÍ±£ÖÊÆÚµÄÏà¹Ø¼ÆË㹫ʽ£¬ËùÒÔÎÒ¾Í×ܽáÁËһϣ¬·¢ÔÚÕâÀÓë´ó¼Ò¹²Ïí¡£

ʳƷ´¢²ØÐ§¹û¿ÉÒÔÓÃʳƷ´¢²ØºóµÄÖÊÁ¿Ë®Æ½ÓëÈ봢ʱÖÊÁ¿Ë®Æ½Ïà±È
½ÏµÄ½á¹ûÀ´ºâÁ¿¡£ÈôʳƷÈ봢ʱµÄÖÊÁ¿ÎªQ¡££¬´¢²Ø½áÊøÊ±µÄÖÊÁ¿
ΪQ¡ä£¬Ôò´¢²ØÐ§¹û£¨¦Ç£©¿ÉÓÃÏÂʽ±íʾ£º
¦Ç= Q¡ä/ Q¡££¨3-1£©
ʳƷ´¢²ØÖÐÓªÑøËØµÄËðʧ
ʳƷÔÚ´¢²ØÖÐÓªÑøËØ£¨¼´ÓªÑø³É·Ö£©µÄËðʧÇé¿ö£¬¶ÔʳƷ´¢²ØÐ§¹û
µÄºÃ»µ¾ßÓÐÖØ´óµÄÓ°Ïì¡£ÒÀʽ£¨3-1£©£¬ÈôQ¡äÔ¶µÍÓÚQ¡££¬¦ÇÖµ
С£¬Æä´¢²ØÐ§¹û¾Í²î£»·´Ö®£¬ÓªÑøËØËðʧÉÙÕߣ¬¦ÇÖµ¾Í½Ï´ó£¬´¢²Ø
Ч¹û¾Í½ÏºÃ¡£
ÓÉÓÚʳƷ³É·ÖµÄ¶àÑùÐÔÓë²»Îȶ¨ÐÔ£¬¼ÓÉÏ΢ÉúÎïµÄ»î¶¯¼°¸÷ÖÖ
»·¾³ÒòËØµÄÓ°Ï죬ʹʳƷµÄ»¯Ñ§±ä»¯Ê®·Ö¸´ÔÓ£¬¶ÔÓÚijһ·´Ó¦¶ø
ÑÔ£¬¸÷ÖÖ»·¾³ÒòËØ¶Ô·´Ó¦ËٶȵÄÓ°Ïì¾ù¼¯ÖÐÓÚ·´Ó¦Ëٶȳ£ÊýkÖµ¡£
Ê³Æ·ÓªÑøËØµÄËðʧ£¬´ó¶àÊýÊôÓÚÒ»¼¶·´Ó¦£¬¼´ËðʧËÙ¶ÈÓëÓªÑøËØµÄ
Ũ¶È³ÉÕý±È¡£Æä¶¯Á¦Ñ§·½³ÌΪ£º
-dC/dt=kC (3-2)
ʽÖУºCÎªÓªÑøËØµÄŨ¶È£»
tΪ´¢²ØÊ±¼ä£»
-dC/dtÎªÓªÑøËØÔÚ´¢²Ø¹ý³ÌÖеÄËðʧËÙ¶È£»
kΪ·´Ó¦Ëٶȳ£Êý¡£
Éèt=0ʱ£¬C=C¡££¬Ôòʽ£¨3-2£©»ý·Ö£¬¾­ÕûÀí¿ÉµÃ£º
ln C/ C¡£=-kt (3-3)
ʽ3-3±íÃ÷£ºÓªÑøËر£´æ°Ù·ÖÂÊ£¨C/ C¡££©µÄ×ÔÈ»¶ÔÊý¶Ôʱ¼ä×÷ͼ£¬
ÊÇбÂÊΪ-kµÄÒ»ÌõÖ±Ïߣ¨¼ûͼ3-1£©¡£ÏÔÈ»£¬´¢²ØµÄʱ¼äÔ½³¤£¬ÓªÑø
ËØµÄ±£´æÂʾÍÔ½µÍ¡£ÓÉʽ3-3¿ÉµÃ£º
C=C¡£¡¤e-kt (3-4)
¸ù¾Ýʽ£¨3-4£©£¬¿É×÷³ö´¢²Ø¹ý³ÌÖÐÓªÑøËØÅ¨¶ÈÓëʱ¼äµÄ¹ØÏµÍ¼
£¨¼ûͼ3£­2£©¡£ÓÉC=1/2C¡£´úÈëʽ£¨3-4£©¾Í¿ÉÇóµÃÓªÑøËØËðʧһ
°ëµÄʱ¼ä¡ª¡ª°ëË¥ÆÚ£¨t1/2£©£º
t1/2£½ln2/k£½0.693/k (3-5)
Èç¹ûÓªÑøËØµÄËðʧËÙ¶ÈÓëÆäŨ¶ÈÎ޹أ¬ÔòÊÇÊôÓÚÁã¼¶·´Ó¦£¬¼´£º
-dC/dt=k (3-6)
µ±t£½0ʱ£¬C£½C¡££¬Ê½(3-6)»ý·Ö£¬¿ÉµÃµ½ÓªÑøËØÅ¨¶ÈÓëʱ¼äµÄ
¹ØÏµ£º
C= C¡£-kt (3-7)
ÓÉC=1/2C¡£´úÈëʽ£¨3-6£©¾Í¿ÉÇóµÃÓªÑøËØµÄ°ëË¥ÆÚ£º
t1/2£½C¡£/2k (3-8)
ʳƷµÄ´¢²ØÆÚÏÞÊÇָʳƷ´Ó¿ªÊ¼´¢²ØÖÁÆäʧȥÉÌÆ·¼ÛÖµµÄʱ
¼ä£¬Ò²³ÆÎªÊ³Æ·µÄ´¢²ØÊÙÃü¡£
ʳƷµÄÖÖÀà·±¶à£¬´¢²ØÌõ¼þÓÖ²»Ò»Ñù£¬ÆäÖÊÁ¿ÔÚ´¢²ØÖеı仯
ÊǸ´Ôӵġ£µ«¾Í±ä»¯µÄÇ÷ÊÆÀ´¿´£¬³ýÁ˸߶ȾƵÈСÊýʳƷÔÚ´¢²ØÆÚ
¼äÆäÖÊÁ¿ÊÇÖð½¥Ìá¸ßÍ⣬¾ø´ó¶àÊýʳƷÔÚ´¢²Ø¹ý³ÌÖУ¬ÆäÆ·ÖÊÊÇÖð
½¥Ï½µµÄ¡£Éè´¢²Ø¿ªÊ¼Ê±Ê³Æ·µÄÆ·ÖÊΪQ¡££¬¾­¹ýʱ¼äts£¬ Æ·ÖÊÏÂ
½µµ½Ot£¬Èç¹ûÆ·ÖʵÍÓÚOt£¬Ê³Æ·¾ÍʧȥÉÌÆ·¼ÛÖµ£¨ÈçÉ«ÔóºÍÍâ¹Û¶ñ
»¯£¬ÄÚ²¿³ÊÏÖÒì³£µÄ¿ÚζºÍÆøÎ¶µÈ£©£¬Ôò³ÆÁËtsΪʳƷµÄ´¢²ØÆÚÏÞ
»ò´¢²ØÊÙÃü¡£
ÔÚʳƷµÄ´¢²ØÆÚÏÞÄÚ£¬Ê³Æ·ÖÊÁ¿µÄƽ¾ùϽµËÙ¶È£¨V£©¿ÉÓÃÏÂʽ±í
ʾ£º
V= (Q¡£-Ot)/ ts ts=(Q¡£-Ot)/ V (3-9)
ʳƷµÄ´¢²ØÊÙÃüÓë´¢²ØÐ§¹ûÊÇÁ½¸ö²»Í¬µÄ¸ÅÄî¡£tsÓët¡äÒ²ÊÇÁ½¸ö¸÷
¾ßÓв»Í¬ÒâÒåµÄÊýÖµ£¬ts¿ÉÄÜ´óÓÚ¡¢Ð¡ÓÚ»òµÈÓÚt¡ä¡£µ«´¢²ØÊÙÃüÓë
´¢²ØÐ§¹ûÓÖÓÐÃÜÇеĹØÏµ£¬Ê³Æ·ÔÚ²»Í¬µÄ»·¾³Ìõ¼þÏ´¢²Ø£¬´¢²ØÐ§
¹ûºÃµÄ£¬Æä´¢²ØÊÙÃü±ØÈ»½Ï³¤£»´¢²ØÐ§¹û²îµÄ£¬Æä´¢²ØÊÙÃü±ØÈ»½Ï
¶Ì¡£Òò´ËÔÚʵ¼ùÖУ¬³£³£ÓÃÔÚ²»Í¬»·¾³Ìõ¼þÏ´¢²ØÊÙÃüµÄ³¤¶ÌÀ´ÅÐ
¶Ï²»Í¬Ìõ¼þÏÂʳƷ´¢²ØÐ§¹ûµÄÓÅÁÓ¡£
¶þ¡¢Ê³Æ·´¢²ØÊÙÃüµÄ¼ÆËã
´ó¶àÊýʳƷÔÚ´¢²ØÆÚ¼ä£¬ÒÔQ¡£µÄÖÊÁ¿Îª×î¸ß£¬O¦ÓµÄÖÊÁ¿×îµÍ£¬
ÉèQ¡££½1£¬O¦Ó=0£¬Ôòʽ£¨3-9£©¿ÉдΪ£º
ts£½1/V (3-10)
ÏÔÈ»£¬Ê³Æ·ÖÊÁ¿Ï½µµÄËÙ¶ÈÓë´¢²ØÎ¶ȵĹØÏµ×îΪÃÜÇУ¬Î¶ÈÔ½
¸ß£¬Ï½µµÄËÙ¶ÈÔ½´ó¡£ÓÉÓÚʳƷµÄÖÖÀ಻ͬ£¬Æä×éÖ¯½á¹¹¡¢»¯Ñ§³É·Ö
µÈ¸÷ÖÖÓ°ÏìÒòËØ²»Í¬£¬ÆäÖÊÁ¿Ï½µµÄËÙ¶ÈÓëζȵĹØÏµ²¢²»Íêȫһ
Ñù¡£¾ÍͬһÖÖʳƷ¶øÑÔ£¬ÆäÖÊÁ¿Ò²ÊÇÓÉ¶à·½ÃæµÄÄÚÈÝ×é³ÉµÄ£¬²»Í¬ÖÊ
Á¿£¨ÈçÉ«Ô󡢯øÎ¶¡¢×Ìζ¡¢Î¬ÉúËØº¬Á¿µÈ£©µÄ±ä»¯ËÙ¶ÈÓëζȵĹØÏµ
Ò²²»Ò»Ñù¡£ËüÃÇÖ®¼äµÄ¹ØÏµ£¬¿ÉÒÔͨ¹ý¾ßÌåµÄ´¢²ØÊÔÑé»òÀûÓÃʵ¼Ê´¢
²ØÖеÄÓйØÊý¾Ý£¬¸ù¾Ý²»Í¬Î¶ÈÌõ¼þÏ£¬Ê³Æ·ÖÊÁ¿µÄϽµËÙ¶È£¬ÒÔËÙ
¶È¶ÔζÈ×÷ͼÀ´È·¶¨¡£ËÙ¶ÈÓëζȵĹØÏµÊ½ÓÐÏÂÁм¸ÖÖÀàÐÍ£º
V=m+KT
V£½m¡¤TK
V£½m¡¤Ke
V£½m¡¤e£­K/T
V£½m/£¨K-c£©
ÉÏʽÖУºTºÍC¾ù´ú±íζȣ¬TµÄµ¥Î»ÊǾø¶Ôζȣ¨K£©£¬CµÄµ¥
λÊÇÉãÊÏζȣ¨¡æ£©£»VÊÇÔÚ²»Í¬Î¶ÈÏÂʳƷÖÊÁ¿µÄ±ä»¯ËÙ¶È£»m
ºÍKÊÇ´ý¶¨³£Êý£¬¿ÉÒÔͨ¹ýʵÑéÊýÖµ£¬ÓÃ×îС¶þ³Ë·¨È·¶¨¡£
ÉÏʽ·Ö±ð´úÈëʽ£¨3-10£©£¬¾Í¿ÉµÃµ½Ê³Æ·´¢²ØÊÙÃüÓë´¢²ØÎ¶ÈÖ®
¼äµÄ¹ØÏµ£º
ts=1/£¨m+KT£©
ts=1/m¡¤T-K
ts=1/m¡¤K-e
ts=1/m¡¤eK/T
ts=K/m-1/m¡¤ C
ΪÁ˰Ѵ¢²ØÊÙÃüÓëζȵĹØÏµ±íʾΪֱÏß¹ØÏµ£¬ÉÏʽ·Ö±ð¸ÄдΪ£º
1/ts=m+KT
lgts=lg1/m-KlgT
lgts=lg1/m-(lgK) ¡¤C
lnts=ln1/m+K/T
ÈâÖÆÆ·µÄ´¢²ØÊÙÃü¦ÓsÓëζÈCÖ®¼äÓÐÈçϹØÏµ£º
ts=A¡¤10-0.05C (3-11)
ʽÖÐζÈCµÄ·¶Î§Îª-6¡æ¡«-20¡æ£»AΪʵÑéϵÊý£¬Å£Èâ¡¢ÑòÈ⣺
A=2.15£¬ÖíÈ⣺A=1.78£¬¼¦£ºA=1.58£¬¶ì¡¢¼ÒÍãºA=1.26¡£
Á½±ßÈ¡¶ÔÊý£¬¿ÉµÃ£º
lgts=lgA-0.05C (3-12)
ÒÔlgts¶ÔC×÷ͼ¾ÍÊÇÅ£ÈâµÄ´¢²ØÊÙÃü£¨ts£©Ó루C£©µÄ¹ØÏµÍ¼£¬¼ò³Æ
Ϊt-Cͼ¡£
t-CͼÖеÄÖ±Ïß³ÆÎªÊ³Æ·ÖÊÁ¿µÈÖµÏߣ¬¼´Ê³Æ·ÔÚÖ±ÏßÉÏÈÎÒâÒ»
µã¶ÔÓ¦µÄ´¢²ØÌõ¼þ£¨Î¶ȺÍʱ¼ä£©Ï±£²Ø£¬Ê³Æ·µÄÖÊÁ¿ÊÇÏàͬ
µÄ¡£
¸ù¾ÝʳƷµÄt-c¹ØÏµÍ¼£¬¿ÉÒÔÔ¤²âʳƷÔÚÒ»¶¨Î¶ÈÏ£¬ËùÄÜÔÊÐí
µÄ´¢²ØÆÚÏÞ£»Ò²¿ÉÒÔ¸ù¾ÝʳƷÐèÒª´¢²ØµÄʱ¼ä£¬Ñ¡ÔñºÏÊʶø°²È«µÄ
´¢²ØÎ¶ȡ£
ʳƷÔÚÖÊÁ¿µÈÖµÏßÏ·½¸÷µãËùʾµÄζȡ¢Ê±¼äÌõ¼þÏ´¢´æ£¬½«
Êǰ²È«µÄ£»ÈôÔÚµÈÖµÏßÉÏ·½µÄÌõ¼þÏ´¢´æ£¬ÔòÊDz»°²È«µÄ
[search]±£ÖÊÆÚ¼ÆËã[/search]

[ Last edited by kidy008 on 2009-3-31 at 22:37 ]
»Ø¸´´ËÂ¥
ÊÀ¼ä×ÔÓй«µÀ£¬¡¡¸¶³öÖÕÓлر¨¡£¡¡¡¡Ëµµ½²»Èç×öµ½£¬¡¡¡¡¡¡Òª×ö¾Í×ö×îºÃ¡£
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

whywsp

½ð³æ (³õÈëÎÄ̳)

ÎÒÏëÖªµÀÈçºÎ²ÅÄÜ׬µ½½ð±ÒA

[ Last edited by kidy008 on 2009-3-31 at 22:41 ]
5Â¥2008-03-19 13:14:58
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 6 ¸ö»Ø´ð

woshiyoudong

Í­³æ (СÓÐÃûÆø)

very good!

[ Last edited by kidy008 on 2009-3-31 at 22:38 ]
2Â¥2008-02-01 19:50:22
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ö§³Ö
3Â¥2008-02-04 09:18:56
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

whywsp

½ð³æ (³õÈëÎÄ̳)

×ÊÁϺܲ»´í°¡£¬·Ç³£¸Ðл¥Ö÷µÄ·ÖÏí

[ Last edited by kidy008 on 2009-3-31 at 22:40 ]
4Â¥2008-03-19 13:13:58
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] ÉúÎïѧ327£¬Çóµ÷¼Á +5 ÊéÉϵÄ÷×Ó 2026-04-01 6/300 2026-04-02 06:47 by ilovexiaobin
[¿¼ÑÐ] 279Çóµ÷¼Á +7 Īxiao 2026-04-01 7/350 2026-04-01 22:05 by ¿Í¶ûÃÀµÂ
[¿¼ÑÐ] 266·Ö£¬Ò»Ö¾Ô¸µçÆø¹¤³Ì£¬±¾¿Æ²ÄÁÏ£¬Çó²ÄÁÏרҵµ÷¼Á +8 ÍÛºôºßºôºß 2026-04-01 8/400 2026-04-01 21:41 by cal0306
[¿¼ÑÐ] »·¾³¹¤³Ì297·ÖÇóµ÷¼ÁÒ»Ö¾Ô¸º¼¸ßÔº +10 GENJIOW 2026-03-31 11/550 2026-04-01 21:38 by GENJIOW
[¿¼ÑÐ] µ÷¼Á +3 ºÃºÃ¶ÁÊé¡£ 2026-04-01 3/150 2026-04-01 17:06 by zhouyuwinner
[¿¼ÑÐ] 311Çóµ÷¼Á +11 À¶ÔÂÁÁÁÁ 2026-03-30 11/550 2026-04-01 16:33 by Æß¶È²»ÐÅÈÎ
[¿¼ÑÐ] 0856³õÊÔ324·ÖÇóµ÷¼Á +5 ÏëÉÏѧÇóµ÷ 2026-04-01 5/250 2026-04-01 15:28 by ¿¼ÑÐÉϰ¶Ñ½Ò»¶¨Ò
[¿¼ÑÐ] 0855»úе³õÊÔ280Çóµ÷¼Á +3 kazenotori 2026-03-31 3/150 2026-04-01 10:08 by JourneyLucky
[¿¼ÑÐ] 0710ÉúÎïѧÇóµ÷¼Á£¡ +6 ÐðÊöÎÄ 2026-03-31 6/300 2026-04-01 09:39 by JourneyLucky
[¿¼ÑÐ] ¿¼ÑвÄÁϹ¤³Ì351·Öµ÷¼Á +5 Õû¸öºÃµÄ 2026-03-31 5/250 2026-04-01 09:36 by topgun2009
[¿¼ÑÐ] 318Ò»Ö¾Ô¸¼ªÁÖ´óѧÉúÎïÓëÒ½Ò© Çóµ÷¼Á +6 óÆÐÐÖÂÔ¶. 2026-03-28 6/300 2026-04-01 09:28 by oooqiao
[¿¼ÑÐ] ÍÁľ304Çóµ÷¼Á +5 ¶¥¼¶²Á²Á 2026-03-31 5/250 2026-04-01 08:15 by fdcxdystjk£¤
[¿¼²©] 26É격 +4 ¼ÓÓͳ尡£¡ 2026-03-26 4/200 2026-03-31 22:42 by greychen00
[¿¼ÑÐ] Ò»Ö¾Ô¸Î÷½»´ó080500²ÄÁÏѧ˶349 +6 jqx1258 2026-03-31 7/350 2026-03-31 21:08 by yuq
[¿¼ÑÐ] 375Çóµ÷¼Á +7 ÓêÏÄÕûÒ¹ 2026-03-29 7/350 2026-03-31 18:52 by xhai2011
[¿¼ÑÐ] 336²ÄÁÏÇóµ÷¼Á +10 ³ÂäÞÓ¨ 2026-03-26 12/600 2026-03-31 17:59 by jp9609
[¿¼ÑÐ] ¿¼Ñе÷¼ÁÇóÖú +7 13287130938 2026-03-31 7/350 2026-03-31 16:39 by 690616278
[¿¼²©] ²ÄÁÏרҵÉ격 +5 ¶ÅÓêæÃdyt 2026-03-29 5/250 2026-03-31 11:19 by oooqiao
[¿¼ÑÐ] 0703»¯Ñ§321·ÖÇóµ÷¼Á +10 Èýdd. 2026-03-30 11/550 2026-03-30 19:24 by markhwc
[¿¼ÑÐ] 085602»¯Ñ§¹¤³ÌÇóµ÷¼Á¡£ +4 ƽÀÖÀÖÀÖ 2026-03-26 4/200 2026-03-26 17:57 by fmesaito
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û