ÌâÄ¿ÄÚÈÝ
14£®ÔÚÖ½ÃæÄڹ̶¨Ò»±ß³¤ÎªLµÄµÈ±ßÈý½ÇÐοò¼Üabc£¬Ó«¹âÆÁefƽÐÐac±ß·ÅÖã¬efÓëacµÄ¾àÀëΪ$\frac{1}{10}$L£¬Õû¸ö×°Öô¦ÔÚ´¹Ö±Ö½ÃæÏòÍâ¡¢´Å¸ÐӦǿ¶È´óСΪBµÄÔÈÇ¿´Å³¡ÖУ®ÖÊÁ¿Îªm¡¢µçºÉÁ¿Îª+qµÄÁ£×Ó´ÓaµãÔÚÖ½ÃæÄÚÑØ´¹Ö±ab±ßµÄ·½ÏòÉä³ö£¬ÈçͼËùʾ£¬×îÖÕ¾cµã½øÈëacfeÇøÓò£®ÈôÁ£×ÓÓëÈý½ÇÐοò¼Üab¡¢bc±ßÅöײ£¬ÔòÔÚÅöײ¹ý³ÌÖÐÁ£×Ó²»ËðʧÄÜÁ¿ÇÒµçºÉÁ¿±£³Ö²»±ä£¬²¢ÒªÇóÅöײʱËٶȷ½ÏòÓë±»Åö±ß´¹Ö±£¬²»¼ÆÁ£×ÓµÄÖØÁ¦£®Ç󣺣¨1£©ÈôÁ£×ÓÓëab±ß·¢Éú¶à´ÎÅöײ£¬ÏàÁÚÁ½´ÎÅöײµÄʱ¼ä¼ä¸ô£»
£¨2£©Á£×Ó×öÔ²ÖÜÔ˶¯µÄ°ë¾¶£»
£¨3£©Á£×Ó´Óaµãµ½µÚÒ»´Îͨ¹ýcµã¹ý³ÌÖÐͨ¹ýµÄ·³Ì£»
£¨4£©ÈôÁ£×ÓÄܹ»´òµ½Ó«¹âÆÁefÉÏ£¬Á£×Ó´Óaµã·¢ÉäʱµÄËٶȴóС£®
·ÖÎö £¨1£©ÓÉÓÚÉä³ö·½ÏòÓë±ß¿ò´¹Ö±£¬ËùÒÔÁ£×Óÿת°ëÖܺó¾ÍÓë±ß¿òÅöײ£¬ËùÒÔʱ¼äÖ®²î¾ÍÊÇÁ£×Ó×öÔÈËÙÔ²ÖÜÔ˶¯ÖÜÆÚµÄÒ»°ë£®
£¨2£©¿¼Âǵ½Ã¿Åöײһ´ÎÏòÉÏÆ«ÒÆ2R£¬×îºóÒ»´ÎÅöײǡΪһ¸ö°ë¾¶£¬Ôò¼«°å³¤Ó¦Îª°ë¾¶µÄÆæÊý±¶£®Áгö¹Øϵ£¬´Ó¶øÇó³ö°ë¾¶µÄÖµ£¬ÏÔÈ»ÊǹØÓÚnµÄ¶à½âÐÔ£®
£¨3£©Çó×Ü·³ÌҪעÒâµÄÊÇ´Óab±ßתµ½bc±ßÕâÒ»¹ý³ÌµÄ·³ÌΪ$\frac{5}{6}¡Á2¦ÐR$£¬ÆäÓàµÚÅöײһ´ÎÊǦÐR£¬È»ºó°Ñÿ´ÎÅöײ֮ºÍÏà¼Ó£¬¾ÍÊÇ×Ü·³Ì£®
£¨4£©ÒªÊ¹Á£×Ó´òµ½Ó«¹âÆÁÉÏ£¬Ôò¿¼Âǹ켣ÓëefÏàÇеÄÇé¿ö£®Óɼ¸ºÎ¹Øϵȷ¶¨Á£×ÓÖ»ÄÜÊÇ´Óa³ö·¢Ö±½Óµ½´ïcµã£¬²Å·ûºÏ´ËÒªÇó£¬ÓÚÊǰ뾶ֻÄÜÊÇL£¬´Ó¶øÇó³ö´ËÖÖÇé¿öϵÄËٶȣ®
½â´ð ½â£º£¨1£©ÏàÁÚÁ½´ÎÅöײʱ¼ä¼ä¸ô£º$t=\frac{T}{2}$
ÓÉ$qvB=m\frac{{v}^{2}}{R}$ $T=\frac{2¦ÐR}{v}$
µÃ£ºt=$\frac{¦Ðm}{qB}$
£¨2£©ÓÉÌâÒâ¿ÉÖª£ºL=£¨2n+1£©R £¨n=0¡¢1¡¢2¡¢3¡¢¡£©
µÃ£ºR=$\frac{L}{2n+1}$ £¨n=0¡¢1¡¢2¡¢3¡¢¡£©
£¨3£©Á£×Ó×öÔÈËÙÔ²ÖÜÔ˶¯¹ý³ÌÖÐÒ»¸öÖÜÆÚͨ¹ýµÄ·³ÌS0=2¦ÐR=$\frac{2¦ÐL}{2n+1}$ £¨n=0¡¢1¡¢2¡¢3¡¢¡£©
Á£×Ó´ÓaµãÉä³öºó£¬µÚÒ»´Îͨ¹ýcµã¹ý³ÌÖÐͨ¹ýµÄ·³Ì£ºSoc=$£¨n+\frac{5}{6}£©{S}_{0}$ £¨n=0¡¢1¡¢2¡¢3¡¢¡£©
µÃ£ºSoc=$\frac{¦ÐL£¨6n+5£©}{3£¨2n+1£©}$ £¨n=0¡¢1¡¢2¡¢3¡¢¡£©
£¨4£©ÈçͼËùʾ£¬ÓÉÌâÒâ¿ÉÖª£º¦È=30¡ã
¼ÙÉèÁ£×ÓÇ¡ºÃÓëefÏàÇУ¬Âú×㣺$R¡äcos30¡ã=R¡ä-\frac{1}{10}L$
µÃ£º$R¡ä=\frac{2+\sqrt{3}}{5}L$£¼L ´úÈëR=$\frac{L}{2n+1}$ £¨n=0¡¢1¡¢2¡¢3¡¢¡£©µÃ£º$n=\frac{9-5\sqrt{3}}{2}=0.17$
ÈôÁ£×ÓÄܹ»´òµ½Ó«¹âÆÁefÉÏ£¬Ö»ÓÐn=0Âú×ãÌõ¼þ£®
´Ëʱ£¬Á£×Ó´Óaµã·¢ÉäʱµÄËÙ¶ÈΪv£¬ÓÉR=L=$\frac{mv}{qB}$ µÃ£ºv=$\frac{qBL}{m}$
´ð£º£¨1£©ÈôÁ£×ÓÓëab±ß·¢Éú¶à´ÎÅöײ£¬ÏàÁÚÁ½´ÎÅöײµÄʱ¼ä¼ä¸ôΪ$\frac{¦Ðm}{qB}$£®
£¨2£©Á£×Ó×öÔ²ÖÜÔ˶¯µÄ°ë¾¶Îª$\frac{L}{2n+1}$ £¨n=0¡¢1¡¢2¡¢3¡¢¡£©£®
£¨3£©Á£×Ó´Óaµãµ½µÚÒ»´Îͨ¹ýcµã¹ý³ÌÖÐͨ¹ýµÄ·³ÌΪ$\frac{¦ÐL£¨6n+5£©}{3£¨2n+1£©}$ £¨n=0¡¢1¡¢2¡¢3¡¢¡£©£®
£¨4£©ÈôÁ£×ÓÄܹ»´òµ½Ó«¹âÆÁefÉÏ£¬Á£×Ó´Óaµã·¢ÉäʱµÄËٶȴóСΪ$\frac{qBL}{m}$£®
µãÆÀ ±¾ÌâµÄö¦µãÓУº¢ÙÁ£×Ó×öÔÈËÙÔ²ÖÜÔ˶¯µÄ¶à½âÐÔ£¬ÓÉÓÚûÓиæËߴŸÐӦǿ¶È´óС£¬Ò²²»¸æËßÅöײµÄ´ÎÊý£¬ËùÒÔÒªÉèÏëÅöײn´Î£¬Ð´³ö±ß³¤Óë°ë¾¶µÄ¹Øϵ£®¢ÚÒªÄܹ»´òµ½Ó«¹âÆÁÉÏÊÇÒ»¸ö¸üº¬ÐîµÄ½áÂÛ£¬Ñ¡Ð´³ö·ûºÏ´ËÌõ¼þµÄ°ë¾¶Âú×ãµÄ¼¸ºÎ¹Øϵ£¬½«Ç°Ò»Îʵİ뾶ʽ½øÐбȽϣ¬´Ó¶øÇó³öÅöײ´ÎÊý£¬ÓÚÊÇÇó³öÁËËٶȣ®
A£® | µÚ¹Èͨ¹ý¶ÔÌìÌåÔ˶¯µÄ³¤Æڹ۲죬·¢ÏÖÁËÐÐÐÇÔ˶¯Èý¶¨ÂÉ | |
B£® | °²Åà¸ù¾ÝͨµçÂÝÏ߹ܵĴų¡ºÍÌõÐδÅÌúµÄ´Å³¡µÄÏàËÆÐÔ£¬Ìá³öÁË·Ö×ÓµçÁ÷¼Ù˵ | |
C£® | ·¨ÀµÚ·¢ÏÖÁ˵ç´Å¸ÐÓ¦ÏÖÏ󣬲¢ÖÆ×÷ÁËÊÀ½çÉϵÚһ̨·¢µç»ú | |
D£® | ÔÚÍƵ¼ÔȱäËÙÖ±ÏßÔ˶¯Î»Òƹ«Ê½Ê±£¬°ÑÕû¸öÔ˶¯¹ý³Ì·Ö³ÉºÜ¶àС¶Î£¬Ã¿Ò»Ð¡¶Î½üËÆ¿´×÷ÔÈËÙÖ±ÏßÔ˶¯£¬Ôò¸÷С¶ÎλÒÆÖ®ºÍΪÎïÌåµÄλÒÆ£¬ÕâÀï²ÉÓÃÁË΢Ԫ·¨ |
A£® | ÈôƤ´øÂÖÄæʱÕë·½Ïòת¶¯£¬ÇÒv1=v0£¬ÔòA²»ÊÜĦ²ÁÁ¦ | |
B£® | ÈôƤ´øÂÖÄæʱÕë·½Ïòת¶¯£¬A½«Êܵ½Æ½ÐÐƤ´øÏòϵÄĦ²ÁÁ¦×÷Óà | |
C£® | ÈôƤ´øÂÖ˳ʱÕë·½Ïòת¶¯£¬ÇÒv1£¾v0£¬ÔòAÊܵ½Æ½ÐÐƤ´øÏòÉϵÄĦ²ÁÁ¦ | |
D£® | ÈôƤ´øÂÖ˳ʱÕë·½Ïòת¶¯£¬ÇÒv1£¼v0£¬A½«¼õËÙÔ˶¯£¬×îÖÕºÍƤ´øÒ»ÆðÔÈËÙÔ˶¯µ½¶¥¶Ë |
A£® | ÍÆÁ¦F±ä´ó | B£® | бÃæ¶ÔBµÄµ¯Á¦²»±ä | ||
C£® | ǽÃæ¶ÔAµÄµ¯Á¦±äС | D£® | Á½ÇòÖ®¼äµÄ¾àÀë±ä´ó |
A£® | ÓԱÔÚÌ«¿ÕÖÐÐÐ×ßʱûÓйßÐÔ | |
B£® | Ìø¸ßÔ˶¯Ô±ÖúÅÜÆðÌøÊÇΪÁËÔö´ó¹ßÐÔ | |
C£® | Ìß³öÈ¥µÄ×ãÇòÄܼÌÐøÔ˶¯ÊÇÒòΪÊܵ½ÏòÇ°µÄ¹ßÐÔÁ¦×÷Óà | |
D£® | »ð³µµÄÆô¶¯ºÍɲ³µ¶¼ºÜÀ§ÄÑ£¬ÊÇÒòΪËüµÄÖÊÁ¿´ó£¬¹ßÐÔ´ó |
A£® | µç´Å´òµã¼ÆʱÆ÷ʹÓõÄÊÇ6VÒÔϵÄÖ±Á÷µçÔ´ | |
B£® | ÔÚ²âÁ¿ÎïÌåËÙ¶Èʱ£¬ÏȽÓͨ´òµã¼ÆʱÆ÷µÄµçÔ´£¬ºóÈÃÎïÌåÔ˶¯ | |
C£® | ʹÓõĵçԴƵÂÊÔ½¸ß£¬´òµãµÄʱ¼ä¼ä¸ô¾ÍÔ½´ó | |
D£® | Ö½´øÉÏ´òµÄµãÔ½ÃÜ£¬ËµÃ÷ÎïÌåÔ˶¯µÄÔ½¿ì |