ÌâÄ¿ÄÚÈÝ
10£®½ñÄê´º½ÚÇ°ºó£¬ÎÒ¹úÄÏ·½´ó²¿·ÖÊ¡ÇøÔâÓöÁ˺±¼ûµÄÑ©ÔÖ£¬´Ë´ÎÔÖº¦¹ý³ÌÔì³É17¸öÊ¡£¨Çø¡¢ÊС¢±øÍÅ£©²»Í¬³Ì¶ÈÊÜÔÖ£®ÓÈÆäÊÇÑ©ÔÖÌìÆøÔì³ÉÊäµçÏß±»ºñºñµÄ±ù²ã°ü¹ü£¬Ê¹ÏàÁÚÁ½¸öÌúËþ¼äµÄÀÁ¦´ó´óÔö¼Ó£¬µ¼ÖÂÌúËþ±»Àµ¹¡¢Ñ¹Ëú£¬µçÁ¦ÉèÊ©±»ÑÏÖØËð»Ù£¬¸øÕâЩµØ·½ÈºÖÚµÄÉú²úÉú»îÔì³ÉÁ˼«´ó²»ÀûºÍ¾Þ´óËðʧ£®µ±Èô¸ÉÏàͬÌúËþµÈ¸ß¡¢µÈ¾àʱ£¬¿É½«Ö®ÊÓΪÈçͼËùʾµÄ½á¹¹Ä£ÐÍ£®ÒÑÖªÌúËþ£¨×óÓҶԳƣ©ÖÊÁ¿Îªm£¬Ëþ»ù¿í¶ÈΪd£®ÏàÁÚÌúËþ¼äÊäµçÏߵij¤¶ÈΪL£¬Æ䵥볤¶ÈµÄÖÊÁ¿Îªm0£¬ÊäµçÏ߶¥¶ËµÄÇÐÏßÓëÊúÖ±·½Ïò³É¦È½Ç£®ÒÑÖª±ùµÄÃܶÈΪ¦Ñ£¬Éè±ù²ã¾ùÔÈ°ü¹üÔÚÊäµçÏßÉÏ£¬ÇÒ±ù²ãµÄºá½ØÃæΪԲÐΣ¬Æä°ë¾¶ÎªR£¨ÊäµçÏߵİ뾶¿ÉºöÂÔ£©£®
£¨1£©Ã¿¸öÌúËþËþ¼âËùÊܵÄѹÁ¦½«±ÈÔÀ´Ôö´ó¶àÉÙ£¿
£¨2£©±»±ù²ã°ü¹üºó£¬ÊäµçÏßÔÚ×î¸ßµã¡¢×îµÍµãËùÊܵÄÀÁ¦´óС·Ö±ðΪ¶àÉÙ£¿
£¨3£©ÈôijÌúËþÒ»²àµÄÊäµçÏßÔÚ¶¥¶Ë¶ÏÁÑ£¬¸ÃÌúËþÓÉÓÚÊÜÁ¦²»¶Ô³Æ£¬»áÔì³É¸ÃËþÒÔËþ»ùÁíÒ»²àÓëµØÃæµÄ½Ó´¥µãΪÖáÐýת·µ¹£®ÒÑÖªµØÃæ¶ÔËþ»ùµÄ×î´óÀÁ¦ÎªF£¨¸ÃÁ¦¿É¼ò»¯Îª×÷ÓõãλÓÚËþ»ùÖÐÐÄ¡¢·½ÏòÊúÖ±ÏòϵÄÀÁ¦£©£¬ÉèÌúËþ°ü¹ü±ùÇ°ºóµÄÖÊÁ¿Ö®±ÈÓëÊäµçÏß°ü¹ü±ùÇ°ºóµÄÖÊÁ¿Ö®±ÈÏàͬ£¬ÒªÊ¹ÌúËþ²»Ö·µ¹£¬ÊäµçÏßÉÏ°ü¹üµÄ±ù²ã°ë¾¶RµÄ×î´óÖµRmaxΪ¶àÉÙ£¿
·ÖÎö £¨1£©Ëþ¼âÊܵ½µÄѹÁ¦À´×ÔÓÚ×óÓÒÁ½±ßµÄ¸÷Ò»°ëµ¼ÏßÉϵÄÖØÁ¦£¬¼´ÎªÒ»¸ùµ¼ÏßÉϵÄÔö¼ÓµÄÖØÁ¦£»
£¨2£©·Ö±ð¶Ôµ¼Ïß×î¸ßµã¼°×îµÍµãÊÜÁ¦·ÖÎö£¬Óɹ²µãÁ¦µÄƽºâ¿ÉµÃ³öµ¼ÏßÊܵ½µÄÀÁ¦£¬×¢ÒâÔÚ×î¸ßµãʱѡȡÕû¸ùµ¼Ïß·ÖÎö£¬¶ø×îµÍµãʱֻѡȡһ°ëµ¼Ïß½øÐзÖÎö£»
£¨3£©¸ù¾ÝÁ¦¾ØƽºâÌõ¼þÁÐʽÇó½â¼´¿É£®
½â´ð ½â£º£¨1£©ÊäµçÏßÏß±ù²ãµÄÌå»ýV±ù=¦ÐR2L
ÓɶԳƹØϵ¿ÉÖª£¬Ëþ¼âËùÊÜѹÁ¦µÄÔö¼ÓÖµµÈÓÚÒ»¸ùµ¼ÏßÉϱù²ãµÄÖØÁ¦£¬¼´
¡÷N=¦ÑV±ùg=¦Ð¦ÑR2Lg
£¨2£©ÊäµçÏßÓë±ù²ãµÄ×ÜÖÊÁ¿M'=m0L+¦Ð¦ÑR2Lg£¬ÊäµçÏßÊÜÁ¦Èçͼ¼×Ëùʾ£®
Óɹ²µãÁ¦µÄƽºâÌõ¼þ£¬µÃ2F1cos¦È=m0Lg+¦Ð¦ÑR2Lg
ÊäµçÏßÔÚ×î¸ßµãËùÊܵÄÀÁ¦${F_1}=\frac{{{m_0}+¦Ð¦Ñ{R^2}}}{2cos¦È}Lg$
°ë¸ùÊäµçÏßµÄÊÜÁ¦ÈçͼÒÒËùʾ£®
Óɹ²µãÁ¦µÄƽºâÌõ¼þ£¬µÃF2=F1sin¦È
ÊäµçÏßÔÚ×îµÍµãËùÊܵÄÀÁ¦${F_2}=\frac{{{m_0}+¦Ð¦Ñ{R^2}}}{2}Lgtan¦È$
£¨3£©ÉèÌúËþ±»±ù°ü¹üºóµÄÖÊÁ¿Îªm'£¬Ôò$m'=\frac{{{m_0}+¦Ð¦Ñ{R^2}}}{m_0}m$
ÌúËþ¼´½«·µ¹Ê±ÊÜÁ¦Èçͼ±ûËùʾ£®
ÒÔËþ»ùµÄ×îÓÒ¶ËΪתÖᣬRÈ¡×î´óֵʱ£º$£¨m'g+F£©•\frac{d}{2}={F_1}'sin¦È•H$
ÓÖF1'=F1£¬ÁªÁ¢¸÷ʽ£¬µÃ${R_{max}}=\sqrt{\frac{{£¨mg+F£©d-{m_0}LgHtan¦È}}{{¦Ð¦Ñg£¨LHtan¦È-\frac{md}{m_0}£©}}}$
´ð£º£¨1£©Ã¿¸öÌúËþËþ¼âËùÊܵÄѹÁ¦½«±ÈÔÀ´Ôö´ó¦Ð¦ÑR2Lg£»
£¨2£©±ù²ã°ü¹üºó£¬ÊäµçÏßÔÚ×î¸ßµãµÄÀÁ¦${F}_{1}=\frac{{m}_{0}+¦Ð¦Ñ{R}^{2}}{2cos¦È}Lg$¡¢×îµÍµãËùÊܵÄÀÁ¦${F}_{2}=\frac{{m}_{0}+¦Ð¦Ñ{R}^{2}}{2}Lgtan¦È$£»
£¨3£©ÊäµçÏßÉÏ°ü¹üµÄ±ù²ã°ë¾¶RµÄ×î´óֵΪ${R}_{max}=\sqrt{\frac{£¨mg+F£©d-{m}_{0}LgHtan¦È}{¦Ð¦Ñg£¨LHtan¦È-\frac{md}{{m}_{0}}£©}}$£®
µãÆÀ ±¾Ì⿼²éѧÉúÔÚÉú»îʵ¼ÊÖÐÓ¦ÓÃÎïÀí¹æÂɵÄÄÜÁ¦£¬±¾ÌâҪעÒâÁé»îÑ¡ÔñÑо¿¶ÔÏó½øÐÐÊÜÁ¦·ÖÎö£¬ÔÙÓ¦Óù²µãÁ¦µÄƽºâÇó½â£®
A£® | $\frac{G}{cos¦È}$ | B£® | Gcos¦È | C£® | Gcos¦È+Fsin¦È | D£® | Gcos¦È+Fcos¦È |
A£® | ×÷ÓÃÓÚͬһÎïÌåÉϵÄÁ¦¾ÍÊǹ²µãÁ¦ | |
B£® | Ö»ÓÐ×÷ÓÃÓÚͬһµãÉϵÄÁ¦²ÅÊǹ²µãÁ¦ | |
C£® | ²»¹Ü×÷ÓÃÓÚ¼¸¸öÎïÌ壬×÷ÓÃÏß½»ÓÚͬһµãµÄÁ¦¾ÍÊǹ²µãÁ¦ | |
D£® | ²»ÊÇͬһÎïÌåËùÊܵÄÁ¦Ò»¶¨²»Êǹ²µãÁ¦ |
A£® | ǽÃæ¶Ô´ÉשĦ²ÁÁ¦Îª$\sqrt{{F}^{2}+£¨mg£©^{2}}$ | B£® | ǽÃæ¶Ô´Éש¿ÉÄÜûÓÐĦ²ÁÁ¦ | ||
C£® | ǽÃæ¶Ô´ÉשµÄ×÷ÓÃÁ¦Îª0.8F | D£® | ǽÃæ¶Ô´ÉשµÄ×÷ÓÃÁ¦Îª$\sqrt{{F}^{2}+£¨mg£©^{2}}$ |
A£® | ÀÁ¦FÒ»Ö±Ôö´ó | |
B£® | ÀÁ¦FÊ©¼ÓµÄ˲¼ä£¬P¡¢Q¼äµÄµ¯Á¦´óСΪm£¨gsin¦È-a£© | |
C£® | µ±µ¯»É»Ö¸´µ½Ô³¤Ê±£¬Îï¿éQ´ïµ½ËÙ¶È×î´óÖµ | |
D£® | ´ÓÊ©¼ÓÁ¦F¿ªÊ¼µ½µ¯»ÉµÚÒ»´Î»Ö¸´µ½Ô³¤µÄ¹ý³ÌÖУ¬Á¦F×öµÄ¹¦Ð¡ÓÚÁ½Îï¿é»úеÄܵÄÔö¼ÓÁ¿ |
A£® | ÓêµÎÔÚ¿ÕÖÐÔÈËÙÏÂÂä | B£® | Æû³µÒÔ´óС²»±äµÄËÙ¶ÈתÍä | ||
C£® | ǦÇò±»ÍƳöºóµÄÔ˶¯ | D£® | ·É»ú½µÂäÔÚÅܵÀÉÏËù×öµÄ¼õËÙÔ˶¯ |
A£® | ¿Ë·þÖØÁ¦×ö¹¦2.5J | B£® | µçÊÆÄÜÔö¼Ó1 J | ||
C£® | ¶¯ÄÜÔö¼Ó2.5 J | D£® | ¿Ë·þ¿ÕÆø×èÁ¦×ö¹¦0.5 J |