ÌâÄ¿ÄÚÈÝ
3£®£¨1£©ÊµÑéǰ£¬±ØÐ뽫ÖòÑæºÍ¹âÆÁµÄÖÐÐÄλÓÚ͹͸¾µµÄÖ÷¹âÖáÉÏ£¬²ÅÄÜʹÏñ³ÊÏÖÔÚ¹âÆÁÖÐÑ룻µ±ÖòÑæÕýºÃÔÚ¹âÆÁÉϳɵ¹Á¢¡¢µÈ´óµÄÇåÎúµÄÏñʱ£¬·¢ÏÖÀ¯ÖòºÍ¹âÆÁÖ®¼äµÄ¾àÀëÊÇ40cm£¬Ôò¸Ã͹͸¾µµÄ½¹¾àÊÇ10cm£®
£¨2£©ÊµÑéÖй̶¨ºÃ͸¾µºÍÀ¯Öòºó£¬·¢ÏÖÎÞÂÛÈçºÎÒÆ¶¯¹âÆÁ£¬¹âÆÁÖ»ÓÐÒ»¸öÓë͸¾µ´óС¼¸ºõÏàͬµÄ¹â°ß£¬ÆäÔÒò¿ÉÄÜÊǽ«À¯ÖòÖÃÓÚ½¹µã´¦ÁË£®
£¨3£©µ±À¯Öò¡¢Í¹Í¸¾µºÍ¹âÆÁ´¦ÓÚͼÖеÄλÖÃʱ£¬¹âÆÁÉϳÊÏÖµÄÏñÊÇÄ£ºýµÄ£®
¢Ù½«¹âÆÁÏò¿¿½ü͹͸¾µµÄ·½ÏòÒÆ¶¯Êʵ±¾àÀëºó£¬¹âÆÁÉϳöÏÖÇåÎúµÄÏñ£¬´ËʱµÄÏñÊǵ¹Á¢¡¢ËõС£¨Ñ¡Ìî¡°·Å´ó¡±¡¢¡°ËõС¡±»ò¡°µÈ´ó¡±£©µÄʵÏñ£»
¢ÚÈç¹û±£³ÖͼÖÐÀ¯Öò¡¢Í¹Í¸¾µºÍ¹âÆÁµÄλÖò»±ä£¬ÔÚ͹͸¾µÇ°·ÅÖÃÒ»¸ö¶ÈÊýºÏÊʵĽüÊÓ £¨Ñ¡Ìî¡°½üÊÓ¡±»ò¡°Ô¶ÊÓ¡±£© ÑÛ¾µÆ¬£¬Ò²¿ÉÒÔÔÚ¹âÆÁÉÏ»ñµÃÇåÎúµÄÏñ£®
£¨4£©°´ÒªÇó½øÐй۲ìºÍ²âÁ¿£¬²¢½«¹Û²âÇé¿ö¼Ç¼ÔÚ±íÖУ®
| ʵÑéÐòºÅ | Îï¾àu/cm | Ïñ¾àv/cm | ÏñµÄÐÔÖÊ |
| 1 | 30 | 15 | µ¹Á¢¡¢ËõСµÄʵÏñ |
| 2 | 25 | 16.7 | |
| 3 | 20 | 20 | µ¹Á¢¡¢µÈ´óµÄʵÏñ |
| 4 | 15 | µ¹Á¢¡¢·Å´óµÄʵÏñ | |
| 5 | 5 | ÕýÁ¢¡¢·Å´óµÄÐéÏñ |
·ÖÎö £¨1£©ÔÚʵÑéÖУ¬ÎªÊ¹ÏñÄܳÉÔÚ¹âÆÁµÄÖÐÐÄ£¬Ó¦µ÷ÕûÖòÑæ¡¢Í¹Í¸¾µºÍ¹âÆÁµÄ¸ß¶È£¬Ê¹ËüÃǵÄÖÐÐÄ´óÖÂÔÚͬһ¸ß¶È£®Í¬Ê±¸÷ÖÐÐÄÒªÔÚͬһֱÏßÉÏ£»
£¨2£©Óɽ¹µã·¢³öµÄ¹â£¬¾Í¹Í¸¾µÆ½ÐÐÖ÷¹âÖáÉä³ö£»
£¨3£©¹âÆÁÉϵÄÏñÊÇÎïÌå·¢³öµÄ¹âÏߵĻá¾Ûµã£¬Ô¶ÊÓÑÛ¾µÆ¬ÊÇ͹͸¾µ£¬·ÅÉÏ͹͸¾µºó£¬ÓÉÓÚ͹͸¾µ¶Ô¹âÏßÓлá¾Û×÷Óã¬ËùÒÔÔÀ´»á¾ÛÔÚ¹âÆÁÉϵĹâÏß»á¾ÛÔÚÁ˹âÆÁµÄǰ·½£¬¸ù¾Ý°¼Í¸¾µ¶Ô¹âÏßµÄ×÷ÓýøÐзÖÎö£»
£¨4£©¸ù¾Ý͹͸¾µ³ÉÏñµÄËÄÖÖÇé¿öºÍÓ¦ÓýøÐÐÅжϣº
u£¾2f£¬³Éµ¹Á¢¡¢ËõСµÄʵÏñ£¬Ó¦ÓÃÓÚÕÕÏà»úºÍÉãÏñ»ú£®
u=2f£¬³Éµ¹Á¢¡¢µÈ´óµÄʵÏñ£¬Ò»°ãÓÃÀ´²âÁ¿Í¹Í¸¾µµÄ½¹¾à£®
2f£¾u£¾f£¬³Éµ¹Á¢¡¢·Å´óµÄʵÏñ£¬Ó¦ÓÃÓڻõƻúºÍͶӰÒÇ£®
u£¼f£¬³ÉÕýÁ¢¡¢·Å´óµÄÐéÏñ£¬Ó¦ÓÃÓڷŴ󾵺ÍÀÏ»¨¾µ£®
½â´ð ½â£º
£¨1£©ÔÚʵÑéǰҪµ÷½ÚÖòÑæ¡¢Í¹Í¸¾µºÍ¹âÆÁ£¬Ê¹ËüÃǵÄÖÐÐÄ´óÖÂÔÚͬһ¸ß¶È£¬²¢ÔÚͬһֱÏßÉÏ£»
Îï¾àµÈÓÚ¶þ±¶½¹¾àʱ£¬³Éµ¹Á¢¡¢µÈ´ó¡¢ÊµÏñ£»¹Ê4f=40cm£¬f=10cm£»
£¨2£©ÊµÑéÖй̶¨ºÃ͸¾µºÍÀ¯Öòºó£¬·¢ÏÖÎÞÂÛÈçºÎÒÆ¶¯¹âÆÁ£¬¹âÆÁÖ»ÓÐÒ»¸öÓë͸¾µ´óС¼¸ºõÏàͬµÄ¹â°ß£¬ËµÃ÷¹âƽÐÐÖ÷¹âÖáÉä³ö£¬Ôò¿ÉÄܽ«À¯ÖòÖÃÓÚ½¹µã´¦ÁË£»
£¨3£©¢Ù͹͸¾µ½¹¾àΪ10cm£¬´Ëʱ½«ÖòÑæ·ÅÔÚ¾àÀë͹͸¾µ40cm´¦£¬Îï¾à´óÓÚ2±¶½¹¾à£¬´Ëʱ³Éµ¹Á¢ËõСµÄʵÏñ£»
¢ÚÈç¹û±£³ÖͼÖÐÀ¯Öò¡¢Í¹Í¸¾µºÍ¹âÆÁµÄλÖò»±ä£¬ÒªÔÚ¹âÆÁÉÏ»ñµÃÇåÎúµÄÏñ£¬Ó¦Ê¹ÏñÏòÓÒÒÆ¶¯£¬ÔòÐèÔÚ͹͸¾µºÍÀ¯ÖòÖ®¼ä·ÅÖÃÊʵ±µÄ°¼Í¸¾µ£¨½üÊÓ¾µ£©£»
£¨4£©ÊµÑé2£¬u£¾2f£¬³Éµ¹Á¢¡¢ËõСµÄʵÏñ£»
ʵÑé1ÖУ¬Îï¾àΪ30cmʱÏñ¾àΪ15cm£¬¸ù¾Ý¹âµÄÕÛÉäÖйâ·ÊÇ¿ÉÄæµÄ£¬ËùÒÔʵÑé4ÖУ¬Îï¾àÊÇ15cm£¬Ïñ¾àÊÇ30cm£®
¹Ê´ð°¸Îª£º£¨1£©¹âÆÁ£»10£»£¨2£©½«À¯ÖòÖÃÓÚ½¹µã´¦ÁË£»£¨3£©¢ÙËõС£»¢Ú½üÊÓ£»£¨4£©µ¹Á¢¡¢ËõСµÄʵÏñ£»30£®
µãÆÀ ´ËÌâÊÇ̽¾¿Í¹Í¸¾µ³ÉÏñµÄ¹æÂÉ£¬¿¼²éÁË´ÖÂÔ²âÁ¿Í¹Í¸¾µ½¹¾àµÄ·½·¨£¬¹Ø¼üÊÇÕÆÎÕ½¹µãºÍ½¹¾àµÄ¸ÅÄͬʱ¿¼²éÁË͹͸¾µ¡¢ÖòÑæ¡¢¹âÆÁµÄ¸ß¶ÈÒªÇó£¬ÒªÊ¹ËüÃǵÄÖÐÐÄ´óÖÂÔÚͬһˮƽÏßÉÏ£®Í¬Ê±¿¼²éÁË͹͸¾µ³ÉÏñÌØµãÓëÎï¾àÖ®¼äµÄ¹ØÏµ£®
| A£® | ËÕ±þÌíÈ«³ÌµÄƽ¾ùËÙ¶ÈԼΪ8m/s | |
| B£® | ³å´Ìʱ£¬ÒÔÇ°ÃæµÄ¸ÇÒÁΪ²ÎÕÕÎËÕ±þÌí¸Ð¾õ×Ô¼ºÊÇǰ½øµÄ | |
| C£® | ÈôÌýµ½Ç¹Éù²Å¿ªÊ¼¼ÆÊ±£¬Ô˶¯Ô±µÄ³É¼¨»áÌá¸ß3.4Ãë | |
| D£® | ͨ¹ýʱ¼ä±È½ÏÔ˶¯¿ìÂýÒª¿ØÖÆÔ˶¯Â·³ÌÏàͬ |
| A£® | ¼×µÆ¸üÁÁ | B£® | ÒҵƸüÁÁ | C£® | Ò»ÑùÁÁ | D£® | ¶¼ÓпÉÄÜ |
| A£® | ͼ¼×ËùʾµÄ×ö·¨£¬Ö»ÐèÒ»´Î²âÁ¿ | B£® | ͼÒÒËùʾµÄ×ö·¨£¬ÐèÒª¶à´Î²âÁ¿ | ||
| C£® | ͼ¼×ËùʾµÄ×ö·¨£¬ÐèÒª¶à´Î²âÁ¿ | D£® | ͼÒÒËùʾµÄ×ö·¨£¬Ö»ÐèÒ»´Î²âÁ¿ |