ÌâÄ¿ÄÚÈÝ
2£®ÎÞÂÛÊǵç´Å»¹Êǵç»ð´òµã¼ÆÊ±Æ÷¹¤×÷ʱʹÓý»Á÷£¨Ñ¡¡°½»Á÷¡±»ò¡°Ö±Á÷¡±£©µçÔ´£¬µ±µçÔ´µÄƵÂÊÊÇ50Hzʱ£¬Ã¿¸ô0.02s´òÒ»´Îµã£®Æä¹¤×÷ʱµÄ»ù±¾²½ÖèÈçÏ£ºA£®µ±Ö½´øÍêȫͨ¹ýµç»ð»¨¼ÆÊ±Æ÷ºó£¬¼°Ê±¹Ø±Õµç»ð»¨¼ÆÊ±Æ÷
B£®½«µç»ð»¨¼ÆÊ±Æ÷²åÍ·²åÈëÏàÓ¦µÄµçÔ´²å×ù
C£®½«Ö½´ø´ÓÄ«·ÛÖ½ÅÌÏÂÃæ´©¹ý´òµã¼ÆÊ±Æ÷
D£®½Óͨ¿ª¹Ø£¬Ìýµ½·ÅµçÉù£¬Á¢¼´Í϶¯Ö½´øÔ˶¯
ÉÏÊö²½ÖèÕýÈ·µÄ˳ÐòÊÇCBDA £¨°´Ë³ÐòÌîд²½Öè±àºÅ£©£®ÈçͼÊÇij´ÎʵÑéµÄÖ½´ø£¬ÉáÈ¥Ç°Ãæ±È½ÏÃܵĵ㣬´Ó0µã¿ªÊ¼£¬Ã¿5¸öÁ¬ÐøµãÈ¡1¸ö¼ÆÊýµã£¬±êÒÔ1¡¢2¡¢3¡ÄÇôÏàÁÚÁ½¸ö¼ÆÊýµãÖ®¼äµÄʱ¼ä¼ä¸ôΪ0.1s£¬¸÷¼ÆÊýµãÓë0¼ÆÊýµãÖ®¼äµÄ¾àÀëÒÀ´ÎΪx1=3.0cm¡¢x2=7.5cm¡¢x3=13.5cm£¬ÔòÎïÌåͨ¹ý1¼ÆÊýµãµÄËÙ¶Èv1=0.375m/s£¬Í¨¹ý2¼ÆÊýµãµÄËÙ¶Èv2=0.525m/s£¬Ô˶¯µÄ¼ÓËÙ¶ÈΪ1.5m/s2£®
·ÖÎö Á˽â´òµã¼ÆÊ±Æ÷µÄ¹¹Ôì¡¢¹¤×÷ÔÀí¡¢¹¤×÷ÌØµãµÈ£¬±ÈÈ繤×÷µçѹ¡¢´òµãÖÜÆÚµÈ£¬ÕÆÎÕ»ù±¾ÒÇÆ÷µÄʹÓã¬Äܹ»ÕýÈ·µÄʹÓôòµã¼ÆÊ±Æ÷£»
¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2¿ÉÒÔÇó³ö¼ÓËٶȵĴóС£¬¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯ÖÐʱ¼äÖеãµÄËٶȵÈÓڸùý³ÌÖÐµÄÆ½¾ùËÙ¶È£¬¿ÉÒÔÇó³ö´òÖ½´øÉϸ÷µãʱС³µµÄ˲ʱËÙ¶È´óС£®
½â´ð ½â£ºÎÞÂÛÊǵç´Å»¹Êǵç»ð´òµã¼ÆÊ±Æ÷¹¤×÷ʱ¶¼Ê¹Óý»Á÷µçÔ´£¬µ±µçÔ´µÄƵÂÊΪ50Hzʱ£¬Ëüÿ¸ô0.02s´òÒ»´Îµã£¬
ʵÑé²½ÖèÒª×ñÑÏȰ²×°Æ÷²Äºó½øÐÐʵÑéµÄÔÔò½øÐУ¬×¢ÒâʵÑéÖÐΪÁËʹ´òµãÎȶ¨ºóÔÙ½øÐÐʵÑ飬ͬʱΪÁËÌá¸ßÖ½´øµÄÀûÓÃÂÊ£¬¾¡Á¿½«Ö½´øÉÏ´òÂúµã£¬ÒªÏȽÓͨµçÔ´ºóÊÍ·ÅÖ½´ø£®Òª·ûºÏÊÂÎï·¢Õ¹¹æÂÉ£¬¹ÊÕýÈ·µÄ²Ù×÷²½ÖèΪCBDA£»
ʵÑéʱ£¬´òµã¼ÆÊ±Æ÷Ó¦½ÓµÍѹ½»Á÷µçÔ´£¬Ã¿¸ô0.02s´òÒ»´Îµã£®
ÿ5¸öÁ¬ÐøµãÈ¡1¸ö¼ÆÊýµã£¬ËùÒÔÏàÁڵļÆÊýµã¼äµÄʱ¼ä¼ä¸ôT=0.1s£¬
¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯ÖÐʱ¼äÖеãµÄËٶȵÈÓڸùý³ÌÖÐµÄÆ½¾ùËÙ¶È£¬
v1=$\frac{0.075}{2¡Á0.1}$=0.375 m/s£¬
v2=$\frac{0.135-0.03}{2¡Á0.1}$=0.525 m/s£¬
¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2¿ÉÒÔÇó³ö¼ÓËٶȵĴóС£¬
µÃ£ºa=$\frac{0.075-0.03-0.03}{0£®{1}^{2}}$=1.5m/s2£¬
¹Ê´ð°¸Îª£º½»Á÷£» 0.02£»CBDA£»0.1£» 0.375£» 0.525£»1.5£®
µãÆÀ ¶ÔÓÚ»ù±¾ÒÇÆ÷µÄʹÓú͹¤×÷ÔÀí£¬ÎÒÃDz»½ö´ÓÀíÂÛÉÏѧϰËü£¬»¹Òª´Óʵ¼ùÉÏÈ¥Á˽âËü£¬×Ô¼º¶¯ÊÖÈ¥×ö×ö£¬ÒÔ¼ÓÇ¿»ù±¾ÒÇÆ÷µÄÁ˽âºÍʹÓã»
ÒªÌá¸ßÓ¦ÓÃÔȱäËÙÖ±ÏߵĹæÂÉÒÔ¼°ÍÆÂÛ½â´ðʵÑéÎÊÌâµÄÄÜÁ¦£¬ÔÚÆ½Ê±Á·Ï°ÖÐÒª¼ÓÇ¿»ù´¡ÖªÊ¶µÄÀí½âÓëÓ¦Óã®
| A£® | ÎïÌåÔÚ1s¡¢3s¡¢5sʱµÄËÙ¶ÈÖ®±ÈΪ1£º3£º5 | |
| B£® | ÎïÌåÔÚ1s¡¢3s¡¢5sÄÚµÄÎ»ÒÆÖ®±ÈΪ1£º9£º25 | |
| C£® | ÎïÌå¾¹ý1m¡¢3m¡¢5mËùÓÃʱ¼äÖ®±ÈΪ1£º3£º5 | |
| D£® | ÎïÌå¾¹ý1m¡¢3m¡¢5mʱµÄËÙ¶ÈÖ®±ÈΪ$\sqrt{1}$£º$\sqrt{3}$£º$\sqrt{5}$ |
| A£® | ÎïÌåÑØÖ±ÏßÏòijһ·½ÏòÔ˶¯£¬Í¨¹ýµÄ·³Ì¾ÍÊÇÎ»ÒÆ | |
| B£® | ÎïÌåͨ¹ýµÄ·³Ì²»Í¬£¬µ«Î»ÒÆ¿ÉÄÜÏàͬ | |
| C£® | ÎïÌåµÄÎ»ÒÆÎªÁ㣬˵Ã÷ÎïÌåûÓÐÔ˶¯ | |
| D£® | ÎïÌåͨ¹ýµÄ·³Ì¾ÍÊÇÎ»ÒÆµÄ´óС |
| A£® | ¼ÓËÙ¶È´ó£¬Ëٶȱ仯һ¶¨´ó | |
| B£® | Ëٶȱ仯Խ¿ì£¬¼ÓËÙ¶ÈÔ½´óÇÒ¼ÓËٶȵķ½ÏòÓëËٶȸıäÁ¿µÄ·½ÏòÏàͬ | |
| C£® | µ±¼ÓËÙ¶ÈÓëËÙ¶È·½ÏòÏàͬÇÒ¼õСʱ£¬ÎïÌå×ö¼õËÙÔ˶¯ | |
| D£® | ¼ÓËÙ¶È·½Ïò±£³Ö²»±ä£¬ËÙ¶È·½ÏòÒ²Ò»¶¨±£³Ö²»±ä |
| A£® | ÖñÅÅ£¬Çàɽ | B£® | ½Ë®£¬ÖñÅÅ | C£® | Çàɽ£¬ÖñÅÅ | D£® | ÖñÅÅ£¬Á½°¶ |
| A£® | f1=$\frac{F}{2}$£¬f2=$\frac{F}{2}$ | B£® | f1=$\frac{F}{2}$£¬f2=F | ||
| C£® | f1=0£¬f2=F | D£® | Ìõ¼þ²»×㣬ÎÞ·¨ÅÐ¶Ï |
£¨1£©ÍùíÀÂëÅÌÖмÓÈëһСíÀÂ룬ÔÚÊÍ·ÅС³µÇ°£¨Ñ¡Ìǰ¡±»ò¡°ºó¡±£©½Óͨ´òµã¼ÆÊ±Æ÷µÄµç£¬ÔÚÖ½´øÉÏ´ò³öһϵÁеĵ㣮
£¨2£©´ÓÖ½´øÉÏѡȡÈô¸É¼ÆÊýµã½øÐвâÁ¿£¬µÃ³ö¸÷¼ÆÊýµãµÄʱ¼ätÓëËÙ¶ÈvµÄÊý¾ÝÈçÉÏ±í£º
Çë¸ù¾ÝʵÑéÊý¾Ý×÷³öС³µµÄv-tͼÏóÒÒ£®
| ʱ¼ät/s | 0 | 0.50 | 1.00 | 1.50 | 2.00 | 2.50 |
| ËÙ¶Èv£¨m/s£© | 0.12 | 0.19 | 0.23 | 0.26 | 0.28 | 0.29 |