ÌâÄ¿ÄÚÈÝ
9£®ÎÒ¹ú̽Ô¹¤³ÌÒѹ滮ÖÁæ϶ðËĺţ¬²¢¼Æ»®ÔÚ2017Ä꽫æ϶ðËĺÅ̽ÔÂÎÀÐÇ·¢ÉäÉý¿Õ£¬µ½Ê±½«ÊµÏÖÔÚÔÂÇòÉÏ×Ô¶¯Ñ²ÊÓ»úÆ÷ÈË¿±²â£®ÒÑÖªµØÇò±íÃæµÄÖØÁ¦¼ÓËٶȴóСΪg£¬µØÇò°ë¾¶ÎªR1£¬ÔÂÇò°ë¾¶ÎªR2£¬Èôæ϶ðËĺÅ̽ÔÂÎÀÐÇÔÚµØÇò±íÃæµÄÖØÁ¦´óСΪG1£¬ÔÚÔÂÇò±íÃæµÄÖØÁ¦´óСΪG2£¬Ç󣺣¨1£©ÔÂÇòµÄÖÊÁ¿ÓëµØÇòµÄÖÊÁ¿Ö®±È£»
£¨2£©æ϶ðËĺÅÔÚ½üÔÂÇò±íÃæ¹ìµÀÉÏ×öÔÈËÙÔ²ÖÜÔ˶¯µÄÖÜÆÚ£»
£¨3£©ÔÂÇòµÄµÚÒ»ÓîÖæËÙ¶ÈÓëµØÇòµÄµÚÒ»ÓîÖæËÙ¶ÈÖ®±È£®
·ÖÎö £¨1£©¸ù¾ÝÖØÁ¦µÈÓÚÍòÓÐÒýÁ¦¼´¿É·Ö±ðÇó³öµØÇòºÍÔÂÇòµÄÖÊÁ¿£»
£¨2£©ÓÉÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦¼´¿ÉÇó³öÖÜÆÚ£»
£¨3£©¸ù¾ÝÖØÁ¦ÌṩÏòÐÄÁ¦¼´¿É·Ö±ðÇó³öÁ½ÖÖµÚÒ»ÓîÖæËٶȣ»
½â´ð ½â£º£¨1£©ÉèÎÀÐǵÄÖÊÁ¿Îªm£¬G±íʾÍòÓÐÒýÁ¦³£Á¿£¬ÔÚµØÇò±íÃ棺$mg=\frac{G{M}_{µØ}m}{{R}_{1}^{2}}$ ¢Ù
ËùÒÔ£ºMµØ=$\frac{g{R}_{1}^{2}}{G}$ ¢Ú
ÔÚµØÇò±íÃ棺mg=G1 ¢Û
ÔÚÔÂÇò±íÃ棺mgÔÂ=G2 ¢Ü
ÁªÁ¢¢Û¢ÜµÃ£º${g}_{ÔÂ}=\frac{{G}_{2}}{{G}_{1}}•g$ ¢Ý
ÉèÔÂÇòÖÊÁ¿Îª${M}_{ÔÂ}^{\;}$£¬¸ù¾ÝÖØÁ¦µÈÓÚÍòÓÐÒýÁ¦£º$m{g}_{ÔÂ}=\frac{G{M}_{ÔÂ}m}{{R}_{2}^{2}}$ ¢Þ
½âµÃ£º${M}_{ÔÂ}=\frac{{g}_{ÔÂ}{R}_{2}^{2}}{G}$=$\frac{{G}_{2}{R}_{2}^{2}g}{{G}_{1}G}$ ¢ß
ÁªÁ¢µÃ£º$\frac{{M}_{ÔÂ}}{{M}_{µØ}}$=$\frac{{G}_{2}{R}_{2}^{2}}{{G}_{1}{R}_{1}^{2}}$
£¨2£©¸ù¾ÝÔÂÇò±íÃæÖØÁ¦ÌṩÏòÐÄÁ¦£¬ÓУº$m{g}_{ÔÂ}=\frac{m•4{¦Ð}^{2}{R}_{2}}{{T}^{2}}$ ¢à
ËùÒÔ£ºT=$\sqrt{\frac{4{¦Ð}^{2}{R}_{2}}{{g}_{ÔÂ}}}$=$2¦Ð\sqrt{\frac{{R}_{2}{G}_{1}}{{G}_{2}g}}$
£¨3£©¸ù¾ÝµØÇò±íÃæÖØÁ¦ÌṩÏòÐÄÁ¦£¬ÓУº$mg=\frac{m{v}_{1}^{2}}{{R}_{1}}$¢á
ËùÒÔ£º${v}_{1}=\sqrt{g{R}_{1}}$
¸ù¾ÝÔÂÇò±íÃæÖØÁ¦ÌṩÏòÐÄÁ¦£¬ÓУº$m{g}_{ÔÂ}=\frac{m{v}_{2}^{2}}{{R}_{2}}$
ËùÒÔ£º${v}_{2}=\sqrt{{g}_{ÔÂ}{R}_{2}}$=$\sqrt{\frac{{G}_{2}}{{G}_{1}}•g{R}_{2}}$
ËùÒÔ£º$\frac{{v}_{2}}{{v}_{1}}=\sqrt{\frac{{G}_{2}{R}_{2}}{{G}_{1}{R}_{1}}}$
´ð£º£¨1£©ÔÂÇòµÄÖÊÁ¿ÓëµØÇòµÄÖÊÁ¿Ö®±ÈÊÇ$\frac{{G}_{2}{R}_{2}^{2}}{{G}_{1}{R}_{1}^{2}}$£»
£¨2£©æ϶ðËĺÅÔÚ½üÔÂÇò±íÃæ¹ìµÀÉÏ×öÔÈËÙÔ²ÖÜÔ˶¯µÄÖÜÆÚ$2¦Ð\sqrt{\frac{{R}_{2}{G}_{1}}{{G}_{2}g}}$£»
£¨3£©ÔÂÇòµÄµÚÒ»ÓîÖæËÙ¶ÈÓëµØÇòµÄµÚÒ»ÓîÖæËÙ¶ÈÖ®±ÈÊÇ$\sqrt{\frac{{G}_{2}{R}_{2}}{{G}_{1}{R}_{1}}}$£®
µãÆÀ ½â¾ö±¾ÌâµÄ¹Ø¼üÕÆÎÕÍòÓÐÒýÁ¦¶¨ÂɵÄÁ½¸öÖØÒªÀíÂÛ£º1¡¢ÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦£¬2¡¢ÍòÓÐÒýÁ¦µÈÓÚÖØÁ¦£¬²¢ÄÜÁé»îÔËÓã®
A£® | ×Óµ¯Éä³öǹ¿ÚµÄËÙ¶ÈÊÇ800 m/s£¬ÒÔ 790 m/sµÄËٶȻ÷ÖÐÄ¿±ê£¬Ö¸µÄÊÇ˲ʱËÙ¶È | |
B£® | Æû³µ´Ó¼×Õ¾ÐÐÊ»µ½ÒÒÕ¾µÄËÙ¶ÈÊÇ40 km/h£¬Ö¸µÄÊÇ˲ʱËÙ¶È | |
C£® | Æû³µÍ¨¹ýÕ¾ÅÆʱµÄËÙ¶ÈÊÇ72 km/h£¬Ö¸µÄÊÇƽ¾ùËÙ¶È | |
D£® | СÇòµÚ3 sÄÚµÄËÙ¶ÈÊÇ6 m/s£¬Ö¸µÄÊÇƽ¾ùËÙ¶È |
A£® | ÔÚ²»ÐèÒª¿¼ÂÇÎïÌå±¾ÉíµÄ´óСºÍÐÎ״ʱ£¬ÓÃÖʵãÀ´´úÌæÎïÌåµÄ·½·¨½Ð¼ÙÉè·¨ | |
B£® | ¸ù¾ÝËٶȶ¨Òåʽv=$\frac{¡÷x}{¡÷t}$£¬µ±¡÷t·Ç³£·Ç³£Ð¡Ê±£¬$\frac{¡÷x}{¡÷t}$¾Í¿ÉÒÔ±íʾÎïÌåÔÚtʱ¿ÌµÄ˲ʱËٶȣ¬¸Ã¶¨ÒåÓ¦ÓÃÁ˼«ÏÞ˼ά·¨ | |
C£® | ²£Á§Æ¿ÄÚ×°ÂúË®£¬Óô©ÓÐ͸Ã÷ϸ¹ÜµÄÏðƤÄà·â¿Ú£®ÊÖÄó²£Á§Æ¿£¬Ï¸¹ÜÄÚÒºÃæ¸ß¶È±ä»¯£¬ËµÃ÷²£Á§Æ¿·¢ÉúÐα䣬¸ÃʵÑé²ÉÓ÷ŴóµÄ˼Ïë | |
D£® | ÔÚÍƵ¼ÔȱäËÙÔ˶¯Î»Òƹ«Ê½Ê±£¬°ÑÕû¸öÔ˶¯¹ý³Ì»®·Ö³ÉºÜ¶àС¶Î£¬Ã¿Ò»Ð¡¶Î½üËÆ¿´×÷ÔÈËÙÖ±ÏßÔ˶¯£¬È»ºó°Ñ¸÷С¶ÎµÄλÒÆÏà¼Ó£¬ÕâÀï²ÉÓÃÁË΢Ԫ·¨ | |
E£® | Å£¶ÙÌá³öÁËÍòÓÐÒýÁ¦¶¨ÂÉ£¬²¢¼ÆËã³öÁËÌ«ÑôºÍµØÇòÖ®¼äµÄÒýÁ¦ |
A£® | ÔÚµÚ1sÄ©ÎïÌåµÄλÒƸı䷽Ïò | B£® | µÚ1sÄ©ÎïÌåµÄ¼ÓËٶȸı䷽Ïò | ||
C£® | ÔÚµÚ2sÄ©ÎïÌåµÄλÒƸı䷽Ïò | D£® | ÔÚµÚ2sÄ©ÎïÌåµÄËٶȸı䷽Ïò |
A£® | µ±ab°ôÏò×óÔ˶¯Ê±£¬µçÁ÷±íµÄÖ¸Õëƫת£¬µç¶¯»úÊǸù¾ÝÕâ¸öÔÀíÖÆ×÷µÄ | |
B£® | µ±ab°ôÏò×óÔ˶¯Ê±£¬µçÁ÷±íµÄÖ¸Õëƫת£¬·¢µç»úÊǸù¾ÝÕâ¸öÔÀíÖÆ×÷µÄ | |
C£® | µ±ab°ôÑشŸÐÏß·½ÏòÔ˶¯Ê±£¬µçÁ÷±íµÄÖ¸Õëƫת£¬µç¶¯»úÊǸù¾ÝÕâ¸öÔÀíÖÆ×÷µÄ | |
D£® | µ±ab°ôÑشŸÐÏß·½ÏòÔ˶¯Ê±£¬µçÁ÷±íµÄÖ¸Õëƫת£¬·¢µç»úÊǸù¾ÝÕâ¸öÔÀíÖÆ×÷µÄ |