4£®ÈçͼËùʾ£¬Ò»Êøµç×Ó´Ó¾²Ö¹¿ªÊ¼¾­µçѹΪU1µÄµç³¡¼ÓËÙºó£¬ÒÔˮƽËÙ¶ÈÉäÈëˮƽ·ÅÖõÄÁ½Æ½ÐнðÊô°åÖм䣮½ðÊô¼«°å³¤Îªl£¬Á½¼«°å¼äµÄ¾àÀëΪd£¬ÊúÖ±·ÅÖõÄÓ«¹âÆÁµ½½ðÊô¼«°åÓҶ˵ľàÀëΪL£®µ±ÔÚÁ½½ðÊô¼«°å¼ä¼ÓÉϵçѹU2ʱ£¬¹âµãÆ«ÀëÖÐÏß´òÔÚÓ«¹âÆÁÉϵÄPµã£®ÒÑÖªµç×ӵĵçºÉÁ¿Îªe¡¢ÖÊÁ¿Îªm£¬ºöÂÔÖØÁ¦ºÍ¿ÕÆø×èÁ¦µÄÓ°Ï죮Çó£º
£¨1£©µç×Ó±»¼ÓËÙºóµÄËٶȴóСv0£»
£¨2£©µç×ÓÉä³öµç³¡Ê±µÄƫת½Ç¶È¦ÈµÄÕýÇÐÖµtan¦È£»
£¨3£©Pµãµ½OµãµÄ¾àÀë$\overline{OP}$£®

·ÖÎö £¨1£©¶ÔÖ±Ïß¼ÓËÙ¹ý³Ì¸ù¾Ý¶¯Äܶ¨ÀíÇóµç×ÓÔÚ¼ÓËÙ³¡ÖлñµÃµÄËٶȣ»
£¨2£©¸ù¾ÝÀàƽÅ×Ô˶¯µÄ·ÖÔ˶¯¹æÂÉÇóÔÚƫת³¡ÖеÄÊúֱλÒƺÍËÙ¶Èƫת½ÇµÄÕýÇÐÖµ£»
£¨3£©¸ù¾Ý·ÖλÒƹ«Ê½Çó³öÉä³öµç³¡ºóÊúÖ±·½ÏòµÄλÒÆ£®

½â´ð ½â£º£¨1£©µç×ÓÔڵ糡ÖмÓËÙ£º
eU1=$\frac{1}{2}$mv02
½âµÃ£º
${v}_{0}=\sqrt{\frac{2e{U}_{1}}{m}}$
£¨2£©µç×ÓÔڵ糡ÖÐ×öÀàƽÅ×Ô˶¯£º
ÔÚˮƽ·½Ïò£º
l=v0t
ÔÚÊúÖ±·½Ïò£º
a=$\frac{e{U}_{2}}{m}$
Éä³öµç³¡Ê±£º
vy=at
ƫת½Ç¦È£º
tan¦È=$\frac{{v}_{y}}{{v}_{0}}$=$\frac{e{U}_{2}l}{dm{v}_{0}^{2}}$
£¨3£©Æ«ÒÆ£º
$\overline{OP}$=£¨L+$\frac{1}{2}$l£©tan¦È
ÓÉÉÏÊöµÃ£º
$\overline{OP}$=£¨$\frac{1}{2}$l+L£©$\frac{{U}_{2}l}{2{U}_{1}d}$
´ð£º£¨1£©µç×Ó±»¼ÓËÙºóµÄËٶȴóСΪ$\sqrt{\frac{2e{U}_{1}}{m}}$£»
£¨2£©µç×ÓÉä³öµç³¡Ê±µÄƫת½Ç¶È¦ÈµÄÕýÇÐÖµtan¦ÈΪ$\frac{e{U}_{2}l}{dm{v}_{0}^{2}}$£»
£¨3£©Pµãµ½OµãµÄ¾àÀë$\overline{OP}$Ϊ£¨$\frac{1}{2}$l+L£©$\frac{{U}_{2}l}{2{U}_{1}d}$£®

µãÆÀ ±¾Ì⿼²é´øµçÁ£×ÓÔڵ糡ÖеÄÔ˶¯£¬ÔÚ¼ÓËÙ³¡ÖÐͨ³£Óɶ¯Äܶ¨Àí½â¾öÔÚƫת³¡ÖÐͨ³£ÓÉÀàƽÅ×Ô˶¯¹æÂÉÇó½â£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

14£®»ØÐý¼ÓËÙ¶ÈÆ÷ÊÇÏÖ´ú¸ßÄÜÎïÀíÑо¿ÖÐÓÃÀ´¼ÓËÙÁ£×ӵij£ÓÃ×°Öã®Í¼1Ϊ»ØÐý¼ÓËÙÆ÷Ô­ÀíʾÒâͼ£ºÖÃÓÚ¸ßÕæ¿ÕÖеÄDÐνðÊô°ë¾¶ÎªR£¬ÔÈÇ¿´Å³¡·½ÏòÓëºÐÃæ´¹Ö±£®Á½ºÐ¼äµÄÏÁ·ìºÜС£¬´øµçÁ£×Ó´©¹ýµÄʱ¼ä¿ÉÒÔºöÂÔ²»¼Æ£®Î»ÓÚDÐκÐÖÐÐÄA´¦µÄÁ£×ÓÔ´ÄܲúÉúÖÊÁ¿Îªm¡¢µçºÉÁ¿Îª+q£¬³õËÙ¶ÈΪ0µÄÁ£×Ó£¬Á½ºÐ¼äµÄ¼ÓËÙµçѹ°´Èçͼ2ËùʾµÄÓàÏÒ¹æÂɱ仯£¬Æä×î´óֵΪUa£¬ÆµÂÊΪf£®¼ÓËÙ¹ý³ÌÖв»¿¼ÂÇÏà¶ÔÂÛЧӦºÍÖØÁ¦×÷Óã®ÒÑÖªt1=0ʱ¿Ì²úÉúµÄÁ£×Óÿ´Îͨ¹ýÏÁ·ìʱ¶¼Äܱ»¼ÓËÙ£®Çó£º

£¨1£©´Å¸ÐӦǿ¶ÈBµÄ´óС£»
£¨2£©t1=0ʱ¿Ì²úÉúµÄÁ£×ÓµÚ1´ÎºÍµÚ2´Î¾­¹ýÁ½DÐκмäÏÁ·ìºó¹ìµÀ°ë¾¶Ö®±È£»
£¨3£©t1=0Óët2=$\frac{1}{6f}$ʱ¿Ì²úÉúµÄÁ£×Óµ½´ï³ö¿Ú´¦µÄʱ¼ä²î£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

15£®ÈçͼËùʾÊÇæ϶ðÈýºÅ±¼Ô¹ý³ÌÖÐij½×¶ÎµÄÔ˶¯Ê¾Òâͼ£¬æ϶ðÈýºÅÑØÍÖÔ²¹ìµÀ¢ñÔ˶¯µ½½üÔµãP´¦±ä¹ì½øÈëÔ²¹ìµÀ¢ò£¬æ϶ðÈýºÅÔÚÔ²¹ìµÀ¢ò×öÔ²ÖÜÔ˶¯µÄ¹ìµÀ°ë¾¶Îªr£¬ÖÜÆÚΪT£¬ÒÑÖªÒýÁ¦³£Á¿ÎªG£¬ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®ÓÉÌâÖУ¨º¬Í¼ÖУ©ÐÅÏ¢¿ÉÇóµÃÔÂÇòµÄÖÊÁ¿
B£®ÓÉÌâÖУ¨º¬Í¼ÖУ©ÐÅÏ¢¿ÉÇóµÃÔÂÇòµÚÒ»ÓîÖæËÙ¶È
C£®æ϶ðÈýºÅÔÚP´¦±ä¹ìʱ±ØÐëµã»ð¼ÓËÙ
D£®æ϶ðÈýºÅÑØÍÖÔ²¹ìµÀ¢ñÔ˶¯µ½P´¦Ê±µÄ¼ÓËٶȴóÓÚÑØÔ²¹ìµÀ¢òÔ˶¯µ½P´¦Ê±µÄ¼ÓËÙ¶È

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

12£®ÈçͼËùʾ£¬Ò»Çᵯ»ÉÒ»¶ËÓëµ²°å¹Ì¶¨£¬ÁíÒ»¶Ë×ÔÓÉÉ쳤ʱλÓÚOµã£¬µ±ÁíÒ»¶ËºÍÎï¿éÏàÁ¬Ê±£¬A¡¢BÊÇÎï¿éÄܱ£³Ö¾²Ö¹µÄλÖÃÖÐÀëµ²°å×î½üºÍ×îÔ¶µÄµã£®A¡¢BÁ½µãÀëµ²°åµÄ¾àÀë·Ö±ðΪx1¡¢x2£®Îï¿éÓëбÃæµÄ×î´ó¾²Ä¦²ÁÁ¦Îªf£¬Ôòµ¯»ÉµÄ¾¢¶ÈϵÊýΪ£¨¡¡¡¡£©
A£®$\frac{f}{{x}_{2}+{x}_{1}}$B£®$\frac{2f}{{x}_{2}+{x}_{1}}$C£®$\frac{f}{{x}_{2}-{x}_{1}}$D£®$\frac{2f}{{x}_{2}-{x}_{1}}$

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

19£®ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®µç´Å²¨ÔÚÕæ¿ÕÖд«²¥Ê±£¬Ã¿´¦µÄµç³¡Ç¿¶È·½ÏòºÍ´Å¸ÐӦǿ¶È·½Ïò×ÜÊÇƽÐеÄ
B£®ÅÄÉã²£Á§³÷´°ÄÚµÄÎïƷʱ£¬ÔÚ¾µÍ·Ç°¼Ó×°Ò»¸öÆ«ÕñƬÊÇΪÁËÔö¼Ó͸Éä¹âµÄÇ¿¶È
C£®Õ¾ÔÚµØÃæÉϵÄÈ˹۲ìÒ»¸ùÑØ×ÔÉí³¤¶È·½ÏòÒÔ½Ó½ü¹âËÙÔ˶¯µÄ¸Ë£¬¹Û²ìµ½µÄ³¤¶È±È¸Ë¾²Ö¹Ê±µÄ¶Ì
D£®Ä³Í¬Ñ§ÔÚ¡°Óõ¥°Ú²âÖØÁ¦¼ÓËٶȡ±µÄʵÑéÖУ¬²â°Ú³¤Ê±Â©¼ÓÁËСÇòµÄ°ë¾¶£¬Ôò²âµÃµÄÖØÁ¦¼ÓËÙ¶Èֵƫ´ó

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

9£®µ±Ò»¸ö×öÔÈËÙÔ²ÖÜÔ˶¯µÄÈËÔìÎÀÐǵĹìµÀ°ë¾¶Ôö´óµ½Ô­À´µÄ2±¶Ê±£¬ÔòÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®ÎÀÐǵÄÏßËÙ¶ÈÒ²Ôö´óµ½Ô­À´µÄ2±¶
B£®ÎÀÐÇËùÐèÏòÐÄÁ¦¼õСµ½Ô­À´µÄ$\frac{1}{2}$±¶
C£®ÎÀÐǵÄÏßËٶȼõСµ½Ô­À´µÄ$\frac{\sqrt{2}}{2}$±¶
D£®ÎÀÐǵÄÏòÐļÓËٶȼõСµ½Ô­À´µÄ$\frac{1}{2}$±¶

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

16£®¶Ô¾²µç³¡¼°´¦ÓÚ¾²µç³¡ÖеĵçºÉ£¬ÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®µçºÉ·ÅÔÚµçÊÆÔ½¸ßµÄµØ·½£¬ÆäµçÊÆÄܾÍÔ½´ó
B£®ÎÞÂÛÕýµçºÉ»¹ÊǸºµçºÉ£¬Ö»ÒªËü¿Ë·þµç³¡Á¦×ö¹¦£¬ËüµÄµçÊÆÄܶ¼Ôö´ó
C£®ÕýµçºÉÔڵ糡ÖÐijµãµÄµçÊÆÄÜ£¬Ò»¶¨´óÓÚµÈÁ¿¸ºµçºÉÔڸõã¾ßÓеĵçÊÆÄÜ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

13£®ÑéÖ¤»úеÄÜÊغãµÄʵÑéÖУ¬ÓÉÓÚ×èÁ¦²»¿É±ÜÃâ»á´øÀ´ÊµÑéÎó²î£¬Òò´ËÎÒÃǵõ½µÄ½á¹û×ÜÊǶ¯ÄܵÄÔö¼ÓÁ¿ÂÔСÓÚ ÖØÁ¦ÊÆÄܵļõÉÙÁ¿£¨Ìî¡°´óÓÚ¡±¡¢¡°Ð¡ÓÚ¡±»ò¡°µÈÓÚ¡±£©£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

14£®ÔڲⶨµçÔ´µç¶¯ÊƺÍÄÚ×èµÄʵÑéÖУ¬ÊµÑéÊÒ½öÌṩÏÂÁÐʵÑéÆ÷²Ä£º
A£®¸Éµç³ØÁ½½Ú£¬Ã¿½Úµç¶¯ÊÆԼΪ1.5V£¬ÄÚ×èÔ¼¼¸Å·Ä·
B£®Ö±Á÷µçѹ±íV1¡¢V2£¬Öó̾ùΪ0¡«3V£¬ÄÚ×èԼΪ3k¦¸
C£®µçÁ÷±í£¬Á¿³Ì0.6A£¬ÄÚ×èСÓÚ1¦¸
D£®¶¨Öµµç×èR0£¬×èֵΪ5¦¸
E£®»¬¶¯±ä×èÆ÷R£¬×î´ó×èÖµ50¦¸
F£®µ¼ÏߺͿª¹ØÈô¸É£®

£¨1£©Èçͼ¼×ËùʾµÄµç·ÊÇʵÑéÊҲⶨµçÔ´µÄµç¶¯ÊƺÍÄÚ×èµÄµç·ͼ£¬°´¸Ãµç·ͼ×éװʵÑéÆ÷²Ä½øÐÐʵÑ飬²âµÃ¶à×éU¡¢IÊý¾Ý£¬²¢»­³öU-IͼÏó£¬Çó³öµç¶¯ÊƺÍÄÚµç×裮µç¶¯ÊƺÍÄÚ×èµÄ²âÁ¿Öµ¾ùƫС£¬²úÉú¸ÃÎó²îµÄÔ­ÒòÊǵçѹ±íµÄ·ÖÁ÷×÷Óã¬ÕâÖÖÎó²îÊôÓÚϵͳÎó²î£®£¨ÌϵͳÎó²î¡±»ò¡°Å¼È»Îó²î¡±£©
£¨2£©ÊµÑé¹ý³ÌÖУ¬µçÁ÷±í·¢ÉúÁ˹ÊÕÏ£¬Ä³Í¬Ñ§ÓÖÉè¼ÆÁËͼÒÒËùʾµÄµç·²â¶¨µçÔ´µÄµç¶¯ÊƺÍÄÚ×裬Á¬½ÓµÄ²¿·ÖʵÎïµç·Èçͼ±ûËùʾ£¬ÆäÖл¹ÓÐÒ»¸ùµ¼ÏßûÓÐÁ¬½Ó£¬ÇëÄã²¹ÉÏÕâ¸ùµ¼Ïߣ®
£¨3£©ÊµÑéÖÐÒƶ¯»¬¶¯±ä×èÆ÷´¥Í·£¬¶Á³öµçѹ±íV1ºÍV2µÄ¶à×éÊý¾ÝU1¡¢U2£¬Ãè»æ³öU1-U2ͼÏóÈçͼ¶¡Ëùʾ£¬Í¼ÏßбÂÊΪk£¬ÓëºáÖáµÄ½Ø¾àΪa£¬ÔòµçÔ´µÄµç¶¯ÊÆE=$\frac{ak}{k-1}$£¬ÄÚ×èr=$\frac{R_0}{k-1}$ £¨ÓÃk¡¢a¡¢R0±íʾ£©£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸