15£®ÈçͼËùʾ£¬Ë®Æ½Í­Å̰뾶Ϊr£¬ÖÃÓڴŸÐӦǿ¶ÈΪB£¬·½ÏòÊúÖ±ÏòϵÄÔÈÇ¿´Å³¡ÖУ¬Í­ÅÌÈÆͨ¹ýÔ²ÅÌÖÐÐĵÄÊúÖ±ÖáÒÔ½ÇËٶȦØ×öÔÈËÙÔ²ÖÜÔ˶¯£¬Í­Å̵ıßÔµ¼°ÖÐÐÄ´¦·Ö±ðͨ¹ýµ¼ÏßÓëÀíÏë±äѹÆ÷µÄÔ­ÏßȦÏàÁ¬£¬¸ÃÀíÏë±äѹÆ÷Ô­¡¢¸±ÏßȦµÄÔÑÊý±ÈΪn£º1£¬±äѹÆ÷µÄ¸±ÏßȦÓëµç×èΪRµÄ¸ºÔØÏàÁ¬£¬Ôò£¨¡¡¡¡£©
A£®¸ºÔØRÁ½¶ËµÄµçѹΪµÄ$\frac{B{r}^{2}¦Ø}{2n}$
B£®Ô­ÏßȦÖеĵçÁ÷Ç¿¶ÈΪͨ¹ýRµçÁ÷µÄ$\frac{1}{n}$
C£®±äѹÆ÷µÄ¸±ÏßȦ´ÅͨÁ¿Îª0
D£®Í¨¹ý¸ºÔØRµÄµçÁ÷Ç¿¶ÈΪ0

·ÖÎö Ïȸù¾Ýת¶¯Çиî´Å¸ÐÏ߸ÐÓ¦µç¶¯Êƹ«Ê½E=$\frac{1}{2}$BL2¦Ø£¬Çó³ö¸ÐÓ¦µç¶¯ÊÆ£¬ÔÙÓÉÅ·Ä·¶¨ÂÉÇó³ö±äѹÆ÷Ô­ÏßȦÁ½¶ËµÄµçѹ´óС£®
±äѹÆ÷Ö»ÄܸıäÔ­ÏßȦµÄ½»Á÷µçµÄµçѹ£¬²»ÄܸıäÖ±Á÷µçµÄµçѹ£®

½â´ð ½â£ºA¡¢Çиî´Å¸ÐÏ߸ÐÓ¦µç¶¯Êƹ«Ê½E=$\frac{1}{2}$Br2¦Ø£¬µçÊƸõçѹ¼Óµ½µç×èR1ÉÏ£¬ÓÉÓÚ±äѹÆ÷ÊÇÀíÏë±äѹÆ÷£¬ËùÒÔ±äѹÆ÷Á½¶ËµÄµçѹÊÇ0£®¹ÊA´íÎó£»
B¡¢±äѹÆ÷Ö»ÄܸıäÔ­ÏßȦµÄ½»Á÷µçµÄµçѹÓëµçÁ÷£¬²»ÄܸıäÖ±Á÷µçµÄµçѹÓëµçÁ÷£®¹Ê²»ÄÜʹÓñäѹÆ÷µÄµçÁ÷±ÈµÄ¹«Ê½¼ÆË㸱ÏßȦÖеĵçÁ÷£®¹ÊB´íÎó£»
C¡¢ËäȻͨ¹ý¸ºÔØR2µÄµçÁ÷Ç¿¶ÈΪ0£¬µ«¸±ÏßȦÖеĴÅͨÁ¿ÓëÔ­ÏßȦÖеĴÅͨÁ¿Ïàͬ£¬²»ÊÇ0£®¹ÊC´íÎó£»
D¡¢±äѹÆ÷Ö»ÄܸıäÔ­ÏßȦµÄ½»Á÷µçµÄµçѹ£¬²»ÄܸıäÖ±Á÷µçµÄµçѹ£¬Ò²²»Äܽ«Ö±Á÷µçµÄµçÄÜ´«µÝ¸ø¸±ÏßȦ£¬ËùÒÔÈôR1²»±äʱ£¬Í¨¹ý¸ºÔØR2µÄµçÁ÷Ç¿¶ÈΪ0£®¹ÊDÕýÈ·£®
¹ÊÑ¡£ºD£®

µãÆÀ ±¾Ìâ¹Ø¼üÒªÄܽ«Í­ÅÌ¿´³ÉÓÉÎÞÊý·ùÌõ×é³ÉµÄ£¬ÓÉת¶¯Çиî´Å¸ÐÏ߸ÐÓ¦µç¶¯Êƹ«Ê½E=$\frac{1}{2}$BL2¦Ø£®
±äѹÆ÷Ö»ÄܸıäÔ­ÏßȦµÄ½»Á÷µçµÄµçѹ£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

9£®2004Äê8ÔÂ12ÈÕÏÂÎ磬ÉϺ£Ä³ÖÐÐĹ㳡ÐÐÈËÓµ¼·£¬Í»È»ÓÐÈ˸ߺ°¡°Â¥Òªµ¹ÁË£¡¡±ÆäËûÈËÃÍȻ̧ͷÏòÉÏ¿´¸Ð¾õÂ¥ÔÚÂýÂýÇãµ¹£¬ÈçͼËùʾ£®ÓÚÊÇ´ó¼Ò±ã·×·×¿ñ±¼ÌÓÉú£¬½á¹ûÒýÆðÁ˽»Í¨»ìÂÒ£®µ«¹ýÁ˺þ㬸ßÂ¥²¢Ã»Óе¹Ëú£¬ÈËÃÇÔÙ×Ðϸ¹Û²ìʱ£¬¸ßÂ¥ÒÀÈ»ÎÈÎȵش£Á¢ÔÚÄÇÀ¹ØÓÚÈËÃǸоõÂ¥ÒªÇãµ¹µÄÔ­Òò£¬ÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®Â¥ÔÚÇãµ¹B£®ÈËÔÚÔ˶¯
C£®Ñ¡ÔñÁËÅԱ߸ü¸ßµÄ¥Ϊ²Î¿¼ÏµD£®Ñ¡ÔñÁ˸߿ÕÔ˶¯µÄÔÆΪ²Î¿¼Ïµ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

6£®ÒÑ֪ͭµÄĦ¶ûÖÊÁ¿M=63.5g£¬Í­µÄÃܶȦÑ=8.9g/cm3£¬ÒÑÖªNA=6.02¡Á1023mol-1£¬ÊÔ¹ÀË㣺
¢ÙÍ­Ô­×ÓµÄÖÊÁ¿£»
¢ÚÍ­Ô­×ÓµÄÌå»ý£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

3£®¾²µç³¡ÔÚxÖáÉϵij¡Ç¿EËæxµÄ±ä»¯¹ØϵÈçͼËùʾ£¬A¡¢B¡¢C¡¢DΪxÖáÉϵÄËĸöµã£¬ÏàÁÚÁ½¸öµãÖ®¼äµÄ¾àÀëÏàµÈ£¬xÖáÕýÏòΪ³¡Ç¿Õý·½Ïò£¬ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®A¡¢B¡¢C¡¢DËĸöµãÖÐAµÄµçÊÆ×î¸ß
B£®B¡¢CÁ½µã¼äµÄµçÊƲîСÓÚC¡¢DÁ½µã¼äµÄµçÊƲî
C£®½«Ò»¸ºµãµçºÉ´ÓAÑØxÖáÒƵ½DµãµÄ¹ý³ÌÖе糡Á¦Ò»Ö±×ö¸º¹¦
D£®½«Ò»¸ºµãµçºÉ´ÓAÑØxÖáÒƵ½DµãµÄ¹ý³ÌÖУ¬¸ÃµãµçºÉµÄµçÊÆÄÜÏÈÔö´óºó¼õÉÙ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ

10£®ÔÚÇã½ÇΪ¦ÈµÄ¹â»¬¹Ì¶¨Ð±ÃæÉÏÓÐÁ½¸öÓÃÇᵯ»ÉÁ¬½ÓµÄÎï¿éAºÍB£¬ËüÃǵÄÖÊÁ¿·Ö±ðΪmºÍ2m£¬µ¯»ÉµÄ¾¢¶ÈϵÊýΪk£¬CΪһ¹Ì¶¨µ²°å£¬ÏµÍ³´¦ÓÚ¾²Ö¹×´Ì¬£®ÏÖÓÃÒ»ÑØбÃæ·½ÏòµÄºãÁ¦À­Îï¿éAʹ֮ÑØбÃæÏòÉÏÔ˶¯£¬µ±B¸ÕÀ뿪Cʱ£¬AµÄËÙ¶ÈΪv£¬¼ÓËÙ¶ÈΪa£¬ÇÒ·½ÏòÑØбÃæÏòÉÏ£®É赯»ÉʼÖÕ´¦ÓÚµ¯ÐÔÏÞ¶ÈÄÚ£¬ÖØÁ¦¼ÓËÙ¶ÈΪg£¬Ôò£¨¡¡¡¡£©
A£®µ±B¸ÕÀ뿪Cʱ£¬A·¢ÉúµÄλÒÆ´óСΪ$\frac{3mgsin¦È}{k}$
B£®´Ó¾²Ö¹µ½B¸ÕÀ뿪CµÄ¹ý³ÌÖУ¬Îï¿éA¿Ë·þÖØÁ¦×ö¹¦Îª$\frac{3{m}^{2}{g}^{2}sin¦È}{k}$
C£®B¸ÕÀ뿪Cʱ£¬ºãÁ¦¶ÔA×ö¹¦µÄ¹¦ÂÊΪ£¨2mgsin¦È+ma£©v
D£®µ±AµÄËٶȴﵽ×î´óʱ£¬BµÄ¼ÓËٶȴóСΪ$\frac{a}{2}$

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

20£®ÈçͼΪÓÃÀ­Á¦´«¸ÐÆ÷ºÍËٶȴ«¸ÐÆ÷̽¾¿¡°¼ÓËÙ¶ÈÓëÎïÌåÊÜÁ¦µÄ¹Øϵ¡±ÊµÑé×°Öã®ÓÃÀ­Á¦´«¸ÐÆ÷¼Ç¼С³µÊܵ½À­Á¦µÄ´óС£¬ÔÚ³¤Ä¾°åÉÏÏà¾àΪL=48.0cmµÄA¡¢BÁ½µã¸÷°²×°Ò»¸öËٶȴ«¸ÐÆ÷£¬·Ö±ð¼Ç¼ϸÏßÀ­Á¦ºÍС³µµ½´ïA¡¢BʱµÄËÙÂÊ£®
£¨1£©±¾ÊµÑéÓйصÄ˵·¨ÕýÈ·µÄÊÇ£ºABE
A£®Á½Ëٶȴ«¸ÐÆ÷Ö®¼äµÄ¾àÀëÓ¦Êʵ±Ô¶Ð©
B£®Òªµ÷Õû³¤Ä¾°åµÄÇãб½Ç¶È£¬Æ½ºâС³µÊܵ½µÄĦ²ÁÁ¦
C£®Ó¦ÏÈÊÍ·ÅС³µ£¬ÔÙ½ÓͨËٶȴ«¸ÐÆ÷µÄµçÔ´
D£®¸Ä±äËù¹Ò¹³ÂëµÄÊýÁ¿Ê±£¬ÒªÊ¹Ëù¹Ò¹³ÂëµÄÖÊÁ¿Ô¶Ð¡ÓÚС³µÖÊÁ¿
E£®²»±ØÓÃÌìƽ²â³öС³µºÍ³µÉϵÄÀ­Á¦´«¸ÐÆ÷µÄ×ÜÖÊÁ¿
£¨2£©Ä³Í¬Ñ§ÔÚ±íÖмǼÁËʵÑé²âµÃµÄ¼¸×éÊý¾Ý£¬vB2-vA2ÊÇÁ½¸öËٶȴ«¸ÐÆ÷¼Ç¼ËÙÂʵÄƽ·½²î£¬Ôò¼ÓËٶȵıí´ïʽΪa=$\frac{{{v}_{B}^{2}-v}_{A}^{2}}{2L}$£¬±íÖеÚ3´ÎʵÑéȱʧµÄÊý¾ÝÊÇ2.44m/s2£¨½á¹û±£ÁôÈýλÓÐЧÊý×Ö£©£»
´ÎÊýF£¨N£©vB2-vA2£¨m2/s2£©a£¨m/s2£©
10.600.770.80
21.041.611.68
31.422.342.44
42.003.483.63
52.624.654.84
63.005.495.72
£¨3£©±íÖÐaÓëF²¢²»³ÉÕý±È£¬ÕâÊÇÓÉÓÚƽºâĦ²ÁÁ¦²»×㣨Ìîд¡°Æ½ºâĦ²ÁÁ¦²»×㡱»ò¡°Æ½ºâĦ²ÁÁ¦¹ý¶È¡±£©Ôì³ÉµÄ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

7£®ÈçͼËùʾ£¬ÖÊÁ¿ÎªMµÄÎïÌåA´©ÔÚÀëÐÄ»úµÄˮƽ¹â»¬¸ËÉÏ£¬AÓÃÉþ×ÓÓëÁíÒ»ÖÊÁ¿ÎªmµÄÎïÌåBÏàÁ¬£®µ±ÀëÐÄ»úÒÔ½ÇËٶȦØÈÆÊúÖ±ÖáÐýתʱ£¬AÀëתÖáÖáÐĵľàÀëÊÇR£»µ±¦ØÔö´óµ½Ô­À´µÄ2±¶Ê±£¬µ÷ÕûAÀëתÖáµÄ¾àÀ룬ʹ֮´ïµ½ÐµÄÎȶ¨×´Ì¬£®Ôò£¨¡¡¡¡£©
A£®ÎïÌåAÊܵ½µÄÏòÐÄÁ¦Ôö´óB£®ÎïÌåAµÄÏßËٶȴóС²»±ä
C£®ÎïÌåAÀëתÖáµÄ¾àÀëÊÇ$\frac{r}{2}$D£®ÎïÌåAÀëתÖáµÄ¾àÀëÊÇ$\frac{r}{4}$

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

4£®ºË·´Ó¦Ö÷ÒªÉæ¼°ËÄÖÖÏ໥×÷ÓÃÖеÄÇ¿Ï໥×÷Óã»îéµÄ°ëË¥ÆÚΪ5Ì죬20gµÄîé¾­¹ý20Ì컹ʣÏÂ1.25gûÓÐË¥±ä£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

5£®×ö¡°Ì½¾¿¹¦ÓëÎïÌåËٶȱ仯µÄ¹Øϵ¡±ÊµÑé×°ÖÃÈçͼËùʾ£®¸ÃʵÑéÊÇÀûÓÃÏðƤ½îµ¯Á¦¶ÔС³µ×ö¹¦£¬¼ÇΪw£¬È»ºó¸ù¾Ý´òµã¼ÆʱÆ÷´ò³öµÄÖ½´ø²â³öС³µ»ñµÃµÄËٶȣ¬¼ÇΪv£¬¶à´ÎʵÑéºóµÄÊý¾Ý½á¹û±íÃ÷wÓëv2µÄ¹ØϵͼÏóÊÇÒ»ÌõÖ±Ïߣ®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸