ÌâÄ¿ÄÚÈÝ
9£®Ä³Í¬Ñ§ÓÃÈçͼ¼×ËùʾµÄʵÑé×°ÖòâÁ¿Îï¿éÑØ³¤Ä¾°å»¬¶¯µÄ¼ÓËٶȼ°Îï¿éÓ볤ľ°å¼äµÄ¶¯Ä¦²ÁÒòÊý£¬³¤Ä¾°åÒ»¶Ë¹Ì¶¨ÔÚÌú¼Ų̈ÉϵÄAµã£¬ÁíÒ»¶ËBÖ§ÔڵضøÉÏ£¬ÇÒÔÚB¶Ë×°ÓвâÁ¿Îï¿éÏ»¬Ê±µÄ˲ʱËٶȵÄËÙ¶È´«¸ÐÆ÷¼°¶ÔÓ¦µÄÎï¿éµ½B¶Ë¾àÀëµÄ¾àÀë´«¸ÐÆ÷£®£¨1£©ÊµÑéʱ£¬´ò¿ª´«¸ÐÆ÷£¬ÈÃÎï¿é´Ó³¤Ä¾°åÉÏij´¦Óɾ²Ö¹ÏÂÂ䣬´«¸ÐÆ÷½«½ÓÊÕµ½µÄ˲ʱËٶȼ°Ïà¶ÔÓ¦µÄÎï¿éÀëBµãµÄ¾àÀëÐÅÏ¢´«¸ø¼ÆËã»ú£¬¼ÆËã»ú½«»ñµÃµÄÊý¾ÝÄâºÏ³öͼÒÒËùʾµÄͼÏó£¬ÓÉͼÒÒÉϵÄÊý¾Ý¿ÉÒԵõ½Îï¿éÏ»¬µÄ¼ÓËÙ¶È´óСa=$\frac{b}{2{x}_{0}}$£»
£¨2£©Òª²âÁ¿Îï¿éÓ볤ľ°å¼äµÄ¶¯Ä¦²ÁÒòÊý£¬³ýÁ˲âµÃµÄ¼ÓËÙ¶Èa£¬»¹ÐèÒª²âÁ¿Ò»Ð©ÎïÀíÁ¿£¬Ð´³öÐèÒª²âÁ¿µÄÎïÀíÁ¿¼°Æä·ûºÅ£º³¤Ä¾°åAB¼äµÄ¾àÀëL¼°Aµ½Ë®ÃæµÄ¾àÀëh£¬¸ù¾Ý²âµÃµÄÎïÀíÁ¿±íʾÎï¿éÓ볤ľ°åÎʶ¯Ä¦²ÁÒòÊýµÄ±í´ïʽ¦Ì=$\frac{gh-aL}{g\sqrt{{L}^{2}-{h}^{2}}}$£®
·ÖÎö £¨1£©¸ù¾Ýv2-xÅжϳöÎïÌåÏ»¬µÄ¼ÓËÙ¶È´óС£»
£¨2£©¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨Âɱíʾ³öĦ²ÁÒòÊý£¬¼´¿ÉÅжÏËùÐè²âÁ¿µÄÎïÀíÁ¿£¬´úÈë¼´¿ÉÇóµÃĦ²ÁÒòÊý´óС
½â´ð ½â£º£¨1£©ÔÚÒÒͼÏóÖУ¬¸ù¾ÝËÙ¶ÈÎ»ÒÆ¹«Ê½¿ÉÖªv2=2ax¿ÉÖª£ºa=$\frac{b}{2{x}_{0}}$
£¨2£©¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂÉ¿ÉÖª£ºmgsin¦È-¦Ìmgcos¦È=ma
½âµÃ£º$¦Ì=\frac{a-gsin¦È}{gcos¦È}$
¹ÊÒªÇóµÄĦ²ÁÒòÊý£¬ÐèÒªÖªµÀÐ±ÃæÓëË®Æ½ÃæµÄ¼Ð½Ç£¬¹ÊÐè²âÁ¿³¤Ä¾°åAB¼äµÄ¾àÀëL¼°Aµ½Ë®ÃæµÄ¾àÀëh£¬´úÈëÊý¾Ý½âµÃ£º¦Ì=$\frac{gh-aL}{g\sqrt{{L}^{2}-{h}^{2}}}$
¹Ê´ð°¸Îª£º£¨1£©$\frac{b}{2{x}_{0}}$£»£¨2£©³¤Ä¾°åAB¼äµÄ¾àÀëL¼°Aµ½Ë®ÃæµÄ¾àÀëh£¬$\frac{gh-aL}{g\sqrt{{L}^{2}-{h}^{2}}}$
µãÆÀ ±¾ÌâÖ÷Òª¿¼²éÁËÀûÓÃÅ£¶ÙµÚ¶þ¶¨ÂÉÇóµÃĦ²ÁÒòÊýµÄ·½·¨£¬¹Ø¼üÊÇץסʵÑéµÄÔÀí£¬ÖªµÀÐèÒª²âÁ¿µÄÎïÀíÁ¿¼´¿É
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
14£®
ÈçͼËùʾ£¬Ò»¸ùÂÁ¹ÜÊúÖ±·ÅÖ㬰ÑÒ»¿éÖ±¾¶±ÈÂÁ¹ÜÄÚ¾¶ÂÔСµÄÔ²ÖùÐÎÇ¿´ÅÌú´ÓÂÁ¹ÜÉ϶ËÓɾ²Ö¹ÊÍ·Å£¬¿ÉÒԹ۲쵽£¬Ïà±È´ÅÌú×ÔÓÉÏÂÂ䣬´ÅÌúÔÚÂÁ¹ÜÖеÄÏÂÂä»áÑÓ»ºÐí¶à£®¹ØÓÚ´ÅÌúÔÚÂÁ¹ÜÖÐÏÂÂäµÄ¹ý³Ì£¬ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©
| A£® | ´ÅÌúÏÂÂä»áÑÓ»º£¬Ö÷ÒªÊÇÒòΪ´ÅÌúÓëÂÁ¹ÜÄÚ±ÚÓÐĦ²Á | |
| B£® | ´ÅÌú×öÔȼÓËÙÔ˶¯£¬Æä¼ÓËÙ¶ÈСÓÚÖØÁ¦¼ÓËÙ¶Èg | |
| C£® | ´ÅÌú×ö¼ÓËÙÔ˶¯£¬Æä¼ÓËÙ¶ÈÖð½¥Ôö´ó | |
| D£® | ´ÅÌúºÍÂÁ¹Ü»á²úÉúÈÈÁ¿£¬ÆäÊýÖµµÈÓÚ´ÅÌú»úеÄܵļõÉÙÁ¿ |
15£®ÖÊ×Ó¡¢ÖÐ×Ӻͺ¤Ô×Ӻ˵ÄÖÊÁ¿·Ö±ðΪm1¡¢m2ºÍm3£¬µ±2¸öÖÊ×ÓºÍ2¸öÖÐ×Ó½áºÏΪһ¸öº¤Ô×ÓºËʱ£¬ÊͷŵÄÄÜÁ¿ÊÇ£®£¨c±íÊ¾Õæ¿ÕÖеĹâËÙ£©£¨¡¡¡¡£©
| A£® | £¨2m1+2m2-m3£©c | B£® | £¨2m1-2m2-m3£©c | C£® | £¨2m1+2m2-m3£©c2 | D£® | £¨2m1-2m2-m3£©c2 |
12£®
KÔÚÊܵ½¹âÕÕʱÄܹ»·¢Éä¹âµç×Ó£®Ñô¼«AÎüÊÕÒõ¼«K·¢³öµÄ¹âµç×Ó£¬ÔÚµç·ÖÐÐγɹâµçÁ÷£®Èç¹ûÓõ¥É«¹âaÕÕÉäÒõ¼«K£¬µçÁ÷±íµÄÖ¸Õë·¢Éúƫת£»Óõ¥É«¹âbÕÕÉä¹âµç¹ÜÒõ¼«Kʱ£¬µçÁ÷±íµÄÖ¸Õë²»·¢Éúƫת£®ÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
| A£® | a¹âµÄ²¨³¤Ò»¶¨´óÓÚb¹âµÄ²¨³¤ | |
| B£® | Ö»Ôö¼Óa¹âµÄÇ¿¶È¿ÉÄÜʹͨ¹ýµçÁ÷±íµÄµçÁ÷Ôö´ó | |
| C£® | Ö»Ôö¼Óa¹âµÄÇ¿¶È¿ÉʹÒݳöµÄµç×Ó×î´ó³õ¶¯Äܱä´ó | |
| D£® | Òõ¼«²ÄÁϵÄÒݳö¹¦ÓëÈëÉä¹âµÄƵÂÊÎÞ¹Ø |
14£®¹ØÓÚµçÊÆ²îµÄÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
| A£® | Ôڵ糡ÖÐa¡¢bÁ½µãµÄ¾àÀëÔ½´ó£¬ÆäµçÊÆ²î¾ÍÔ½´ó | |
| B£® | a¡¢bÁ½µãµÄµçÊÆ²îÔÚÊýÖµÉϵÈÓÚµ¥Î»ÕýµçºÉ´ÓaµãÒÆµ½bµãµç³¡Á¦Ëù×öµÄ¹¦ | |
| C£® | ÈôÒ»µçºÉÔÚa¡¢bÁ½µãµÄµçÊÆÄÜÏàµÈ£¬ÔòÕâÁ½µãÒ»¶¨´æÔÚµçÊÆ²î | |
| D£® | ÔÚÔÈÇ¿µç³¡ÖÐÓëµç³¡Ïß´¹Ö±µÄÍ¬Ò»Æ½ÃæÄÚÈÎÒâÁ½µãµÄµçÊÆ²î²»ÎªÁã |
1£®Ò»¸öÎïÌåÔÚµØÇò±íÃæÊܵ½µØÇòµÄÒýÁ¦ÎªF£¬ÔòÔÚ¾àµØÃæ¸ß¶ÈΪµØÇò°ë¾¶µÄ3±¶´¦£¬ÊܵØÇòÒýÁ¦Îª£¨¡¡¡¡£©
| A£® | $\frac{F}{3}$ | B£® | $\frac{F}{4}$ | C£® | $\frac{F}{9}$ | D£® | $\frac{F}{16}$ |
18£®Ð¡ÇòAÑØ¹â»¬Ë®Æ½ÃæÔ˶¯£¬¶ÔAÊ©¼ÓÒ»×÷ÓÃÁ¦F£¬×÷ÓÃÒ»¶Îʱ¼äºó³·È¥F£¬´Ë¹ý³ÌA¶¯Á¿±ä»¯Á¿µÄ´óСΪ6kg•m/s£¬ÔòF×÷ÓõĹý³Ì£¨¡¡¡¡£©
| A£® | AµÄ¶¯Á¿Ò»¶¨¼õС | B£® | AµÄ¶¯Á¿Ò»¶¨Ôö´ó | ||
| C£® | A¶¯Á¿´óС¿ÉÄܲ»±ä | D£® | AÊܵ½µÄºÏÁ¦³åÁ¿´óСΪ6N•s |