Question

£¨18·Ö£©Èçͼ¼×Ëùʾ£¬Á½¸öÍêÈ«ÏàͬµÄƽÐаåµçÈÝÆ÷PQºÍMN£¬°å¼ä¾àÀëΪd£¬¼«°å³¤ÎªL£¬¼«°åºñ¶È²»¼Æ¡£½«ËüÃÇÖÃÓÚͼʾ·½Ïò×ã¹»´óµÄÔÈÇ¿´Å³¡ÖУ¬´Å¸ÐӦǿ¶ÈΪB₀£¬Á½µçÈÝÆ÷¼«°åµÄ×ó¶ËºÍÓҶ˷ֱð¶ÔÆ룬Á½µçÈÝÆ÷¼«°åËù¼ÓµçѹֵÏàͬ¡£Ò»ÖÊÁ¿Îªm¡¢µçºÉÁ¿Îª+q¡¢ÖØÁ¦²»¼ÆµÄÁ£×Ó´Ó¼«°åP¡¢Q¼äµÄÖÐÖáÏßO₁O₂×ó±ßÔµµÄO₁µã£¬ÒÔËÙ¶Èv₀ÑØO₁O₂ÔÈËÙ´©¹ýµçÈÝÆ÷PQ£¬¾­¹ý´Å³¡Æ«×ªºóÑؼ«°åM¡¢NµÄÖÐÖáÏßO₃O₄×öÔÈËÙÖ±ÏßÔ˶¯£¬ÓÖ¾­¹ý´Å³¡»Øµ½O₁µã£¬Èç´ËÑ­»·Íù¸´¡£²»¼ÆµçÈÝÆ÷Ö®ÍâµÄµç³¡¶ÔÁ£×ÓÔ˶¯µÄÓ°Ïì¡£Çó

£¨1£©¼«°åP¡¢Q£¬M¡¢N¼äËù¼ÓµçѹµÄÊýÖµU¡£
£¨2£©Q°åºÍM°å¼äµÄ¾àÀëx¡£
£¨3£©Á£×Ó´ÓO₁µã¿ªÊ¼Ô˶¯µ½Ôٴλص½O₁µãËùÓõÄʱ¼ä¡£
£¨4£©Èô³·È¥µçÈÝÆ÷ÉÏËù¼ÓµÄµçѹ£¬½«Ô­´Å³¡»»×÷°´Í¼ÒÒ¹æÂɱ仯µÄ´Å³¡£¬È¡´¹Ö±Ö½ÃæÏòÀïΪ´Å³¡µÄÕý·½Ïò¡£Á£×ÓÈÔ´ÓO₁µãÑØO₁O₂ÔÚ0ʱ¿ÌÒÔËÙ¶Èv₀½øÈëµçÈÝÆ÷PQ£¬ÔÚʱ¿ÌÇ¡ºÃ´ÓP°åÓÒ±ßԵˮƽÉä³ö£¨ÎªÎ´ÖªÁ¿£©¡£ÔòB₁Ϊ¶àÉÙ£¿

Answer 1

£¨1£©U=B₀v₀d£¨2£©£¨3£©+£¨4£©

ÊÔÌâ·ÖÎö£º£¨1£©ÕýµçºÉÊܵ½µÄµç³¡Á¦ÓëÊܵ½µÄ´Å³¡Á¦Æ½ºâqE=qv₀B₁  £¨1·Ö£©
ÔÈÇ¿µç³¡ÖР £¨1·Ö£©
ÔòU=B₀v₀d   £¨1·Ö£©
£¨2£©µçºÉÔڴų¡ÖеÄÔ˶¯  £¨1·Ö£©
ÔòÕýµçºÉ×öÔ²ÖÜÔ˶¯µÄ°ë¾¶Îª
x=2r-d  £¨2·Ö£©
Ôò  £¨1·Ö£©
£¨3£©Óɹ«Ê½T=  
µÃT=  £¨2·Ö£©
Á£×ÓÔڴų¡ÖÐÔ˶¯µÄ×Üʱ¼äΪt₁= T=  £¨1·Ö£©
Á£×ÓÔÚÁ½Æ½Ðаå¼äÔ˶¯µÄ×Üʱ¼äΪ£º t₂=2  £¨1·Ö£©
Á£×ÓÔ˶¯µÄ×Üʱ¼äΪt= t₁+ t₂=+  £¨1·Ö£©
£¨4£©Óɼ¸ºÎ֪ʶ¿ÉÖª£º  £¨3·Ö£©
ÓÖ  £¨1·Ö£©
  £¨2·Ö£©