ÌâÄ¿ÄÚÈÝ
1£®ÓÃÀÁ¦´«¸ÐÆ÷ºÍËÙ¶È´«¸ÐÆ÷¡°Ì½¾¿¼ÓËÙ¶ÈaÓëÎïÌåÊÜÁ¦FµÄ¹ØÏµ¡±µÄʵÑé×°ÖÃʾÒâͼÈçͼ1Ëùʾ£¬ÊµÑéÖÐÓÃÀÁ¦´«¸ÐÆ÷¼Ç¼С³µËùÊÜÀÁ¦´óС£¬ÔÚ³¤Ä¾°åÉÏÏà¾àL=48.0cmµÄA¡¢BÁ½¸öλÖ÷ֱð°²×°ËÙ¶È´«¸ÐÆ÷1ºÍ2£¬ÓÃÒÔ¼Ç¼С³µµ½´ïA¡¢BÁ½Î»ÖÃʱµÄËÙÂÊ£®£¨1£©ÊµÑéÖ÷Òª²½ÖèÈçÏ£º
¢Ù½«ÀÁ¦´«¸ÐÆ÷¹Ì¶¨ÔÚС³µÉÏ£»
¢Úµ÷Õû³¤Ä¾°åµÄÇã½Ç½Ç¶È£¬ÒÔÆ½ºâС³µÊܵ½µÄĦ²ÁÁ¦£¬ÔÚ²»¹Ò¹³ÂëµÄÇé¿öÏ£¬ÇáÍÆÐ¡³µ£¬¿´Ð¡³µÊÇ·ñ×öÔÈËÙÖ±ÏßÔ˶¯£»
¢Û°ÑϸÏßµÄÒ»¶Ë¹Ì¶¨ÔÚÀÁ¦´«¸ÐÆ÷ÉÏ£¬ÁíÒ»¶Ëͨ¹ý¶¨»¬ÂÖÓë¹³ÂëÏàÁ¬£»
¢Ü½ÓͨµçÔ´ºó×ÔOµã¾²Ö¹ÊÍ·ÅС³µ£¬Ð¡³µÔÚϸÏßÀ¶¯ÏÂÔ˶¯£¬¼Ç¼ϸÏßÀÁ¦FµÄ´óС¼°Ð¡³µ·Ö±ðµ½´ïA¡¢BʱµÄËÙÂÊvA¡¢vB£»
¢Ý¸Ä±äËù¹Ò¹³ÂëµÄÊýÁ¿£¬Öظ´¢ÜµÄ²Ù×÷£®
£¨2£©±íÖмǼÁËʵÑé²âµÃµÄ¼¸×éÊý¾Ý£¬£¨vB2-vA2£©ÊÇÁ½¸öËÙ¶È´«¸ÐÆ÷¼Ç¼ËÙÂÊµÄÆ½·½²î£¬Óñ¾ÌâÖÐÉ趨µÄÎïÀíÁ¿±íÊö¼ÓËÙ¶È£¬Æä±í´ïʽa=$\frac{{{v}_{B}}^{2}-{{v}_{A}}^{2}}{2L}$£®
| ´ÎÊý | F£¨N£© | £¨vB2-vA2£©£¨m2/s2£© | a£¨m/s2£© |
| 1 | 0.60 | 0.77 | 0.80 |
| 2 | 1.04 | 1.61 | 1.68 |
| 3 | 1.42 | 2.34 | 2.44 |
| 4 | 2.62 | 4.65 | 4.84 |
| 5 | 3.00 | 5.49 | 5.72 |
£¨4£©´ÓÀíÂÛÉÏÀ´¿´¡°a-F¡±Í¼ÏóÊǹýÔµãµÄÒ»ÌõÖ±Ïߣ¬±¾´ÎʵÑéµÃµ½µÄͼÏßÈ´²»¹ý×ø±êԵ㣬ÆäÖÐÔÒòÊÇûÓÐÍêȫƽºâĦ²ÁÁ¦»òÀÁ¦´«¸ÐÆ÷¶ÁÊýÆ«´ó£®
·ÖÎö £¨1£©¢Ú×¢ÒâÆ½ºâĦ²ÁÁ¦µÄÔÀí£¬ÀûÓÃÖØÁ¦ÑØÐ±ÃæµÄ·ÖÁ¦À´Æ½ºâĦ²ÁÁ¦£¬ÈôÎïÌåÄÜÔÈËÙÔ˶¯Ôò˵Ã÷Ç¡ºÃƽºâÁËĦ²ÁÁ¦£®
£¨2£©¸ù¾ÝÎ»ÒÆÓëËٶȵĹØÏµ${{v}_{t}}^{2}-{{v}_{0}}^{2}$=2as¿ÉÇó³öÎïÌåµÄ¼ÓËٶȱí´ïʽ£¬¸ù¾Ý±í´ïʽ¼´¿ÉÇó³öµÚÈý´ÎÎïÌå¼ÓËÙ¶È£»
£¨3£©ÔÚͼÖÐÃè»æ³ö±íÖи÷µã£¬È»ºóÓÃÆ½»¬Ö±Ïß½«¸÷µãÁ¬½Ó¼´¿É£®
£¨4£©¶Ô±Èʵ¼ÊÓëÀíÂÛͼÏó¿ÉÖª£¬ÓÐÍâÁ¦Ê±»¹Ã»ÓмÓËÙ¶È£¬Óɴ˿ɵóö²úÉúÆ«²îÔÒò£®
½â´ð ½â£¨1£©Ö»ÒªÐ¡³µ×öÔÈËÙÖ±ÏßÔ˶¯£¬ÄÇôС³µÑØÐ±ÃæÖØÁ¦µÄ·ÖÁ¦¾ÍºÍĦ²ÁÁ¦µÈ´ó·´Ïò£®
£¨2£©¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÎ»ÒÆÓëËٶȹ«Ê½${{v}_{t}}^{2}-{{v}_{0}}^{2}$=2as¿ÉÇó³ö£ºa=$\frac{{{v}_{B}}^{2}-{{v}_{A}}^{2}}{2L}$£®
£¨3£©¸ù¾Ý±íÖÐÊý¾Ý£¬µÃ³öͼÏóÈçͼËùÊÜ£®![]()
£¨4£©¶Ô±ÈͼÏó¿ÉÖª£¬Êµ¼ÊͼÏóûÓйýÔµã¶øÊǺͺá×ø±êÓн»µã£¬Ôì³ÉÔÒòΪûÓÐÍêȫƽºâĦ²ÁÁ¦»òÀÁ¦´«¸ÐÆ÷¶ÁÊýÆ«´ó£®
¹Ê´ð°¸Îª£º£¨1£©ÔÈËÙÖ±Ïߣ»£¨2£©$\frac{{{v}_{B}}^{2}-{{v}_{A}}^{2}}{2L}$£¨3£©ÈçͼËùʾ£»£¨4£©Ã»ÓÐÍêȫƽºâĦ²ÁÁ¦»òÀÁ¦´«¸ÐÆ÷¶ÁÊýÆ«´ó£®
µãÆÀ Ã÷ȷʵÑéÔÀí£¬ÕýÈ·½øÐÐÎó²î·ÖÎöºÍÊý¾Ý´¦ÀíÊǶÔѧÉúѧϰʵÑéµÄ»ù±¾ÒªÇó£¬Òª¼ÓÇ¿Õâ·½ÃæµÄѵÁ·£®
| A£® | С²¿¼þ½«ÍÑÀëÔ¹ìµÀÏòµØÇòÔ˶¯ | |
| B£® | С²¿¼þµÄ¹ìµÀ°ë¾¶½«±ä´ó | |
| C£® | ÎÀÐǺÍС²¿¼þ¶¼ÔÚÔ¹ìµÀÉϼÌÐø×öÔÈËÙÔ²ÖÜÔ˶¯ | |
| D£® | ÎÀÐǽ«ÔÚ¹ìµÀ°ë¾¶½Ï´óµÄÔ²¹ìµÀÉÏÔ˶¯ |
| A£® | µ¥Î»¡°Ãס¢Ç§¿Ë¡¢Ã롱¶¼Êǹú¼Êµ¥Î»ÖÆÖеĻù±¾µ¥Î» | |
| B£® | µ¥Î»¡°Å£¶Ù¡±Êǹú¼Êµ¥Î»ÖÆÖеĻù±¾µ¥Î» | |
| C£® | Î»ÒÆÊÇÀíÏ뻯ģÐÍ | |
| D£® | Å£¶ÙµÚÒ»¶¨ÂÉ¿ÉÒÔͨ¹ýʵÑé½øÐÐÑéÖ¤ |
| A£® | ÔÚ½éÖÊÖв¨³¤´ó£¬ÏàÓ¦µÄ²¨ÐÎͼÏßÊÇb | |
| B£® | ÔÚ¿ÕÆøÖв¨³¤´ó£¬ÏàÓ¦µÄ²¨ÐÎͼÏßÊÇb | |
| C£® | ½éÖÊÖÐÖʵãµÄÕñ¶¯ÆµÂʸߣ¬ÏàÓ¦µÄ²¨ÐÎͼÏß a | |
| D£® | ¿ÕÆøÖÐÖʵãµÄÕñ¶¯ÆµÂʸߣ¬ÏàÓ¦µÄ²¨ÐÎͼÏß a |
| A£® | ÔÚt1ʱ¿Ìͨ¹ýÏßÈ¦Æ½ÃæµÄ´ÅͨÁ¿ÎªÁã | |
| B£® | ÔÚt2ʱ¿Ìͨ¹ýÏßÈ¦Æ½ÃæµÄ´ÅͨÁ¿µÄÖµ×î´ó | |
| C£® | ÔÚt3ʱ¿Ìͨ¹ýÏßȦµÄ´ÅͨÁ¿µÄ±ä»¯Âʵľø¶ÔÖµ×î´ó | |
| D£® | ÔÚt1ºÍt3ʱ¿ÌÏßÈ¦Æ½ÃæÓëÖÐÐÔÃæÖØºÏ |
| A£® | ¿¨ÎĵÏÐíͨ¹ýŤ³ÓʵÑé²â³öÁ˾²µçÁ¦³£Á¿ | |
| B£® | µçÁ÷µÄ´ÅЧӦÊÇ·¨ÀµÚ·¢ÏÖµÄ | |
| C£® | Ħ²ÁÆðµçÊÇÔÚĦ²ÁµÄ¹ý³ÌÖд´ÔìÁ˵çºÉ | |
| D£® | E=$\frac{F}{q}$ÊÇͨ¹ý±ÈÖµ·¨À´¶¨ÒåÎïÀíÁ¿ |