ÌâÄ¿ÄÚÈÝ
14£®ÈçͼËùʾ£¬°Ñ²è±Ñ¹ÔÚÒ»ÕÅ°×Ö½ÉÏ£¬µÚÒ»´ÎÓÃһˮƽÁ¦Ñ¸ËÙ½«°×Ö½´Ó²è±Ï³é³ö£»µÚ¶þ´Î»ºÂýÀ¶¯°×Ö½½«°×Ö½´Ó²è±Ï³é³ö£®ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©A£® | »ºÂýÀ¶¯°×Ö½¹ý³ÌÖУ¬Ö½¸ø²è±µÄĦ²ÁÁ¦´óһЩ | |
B£® | ѸËÙÀ¶¯°×Ö½¹ý³ÌÖУ¬Ö½¸ø²è±µÄĦ²ÁÁ¦´óһЩ | |
C£® | »ºÂýÀ¶¯°×Ö½¹ý³ÌÖУ¬²è±»ñµÃµÄ¶¯Á¿´óһЩ | |
D£® | ѸËÙÀ¶¯°×Ö½¹ý³ÌÖУ¬Ö½¸ø²è±µÄ³åÁ¿´óһЩ |
·ÖÎö Ã÷È·Á½´ÎÀ¶¯Ê±¾ùΪ»¬¶¯Ä¦²ÁÁ¦£¬¸ù¾Ý»¬¶¯Ä¦²ÁÁ¦µÄÐÔÖÊ¿É·ÖÎöĦ²ÁÁ¦´óС£¬ÔÙ¸ù¾ÝÀ¶¯Ê±¼ä·ÖÎö³åÁ¿µÄ´óС£¬´Ó¶øÓɶ¯Á¿¶¨Àí¿ÉÇóµÃ¶¯Á¿´óС£®
½â´ð ½â£ºA¡¢B¡¢Á½´ÎÀ¶¯ÖУ¬²è±ºÍÖ½Ö®¼ä¾ù·¢ÉúÏàÒÔ»¬¶¯£¬Òò´ËÊܵ½µÄ¾ùΪ»¬¶¯Ä¦²ÁÁ¦£¬ÒòѹÁ¦²»±ä£¬ÔòÓÉf=¦ÌFN¿ÉÖª£¬Á½´ÎÀ¶¯Ê±Ö½¸ø²è±µÄĦ²ÁÁ¦Ïàͬ£¬¹ÊAB´íÎó£»
C¡¢»ºÂýÀ¶¯°×Ö½¹ý³ÌÖУ¬Ä¦²ÁÁ¦×÷ÓÃʱ¼ä³¤£¬Ôò²úÉúµÄ³åÁ¿½Ï´ó£¬¸ù¾Ý¶¯Á¿¶¨Àí¿ÉÖª£¬²è±»ñµÃµÄ¶¯Á¿´óһЩ£¬¹ÊCÕýÈ·£»
D¡¢Ñ¸ËÙÀ¶¯°×Ö½¹ý³ÌÖУ¬Ä¦²ÁÁ¦×÷ÓÃʱ¼ä¶Ì£¬¹ÊÖ½¸ø²è±µÄ³åÁ¿Ð¡Ò»Ð©£¬¹ÊD´íÎó£®
¹ÊÑ¡£ºC£®
µãÆÀ ±¾Ìâ¹Ø¼üÃ÷È·»¬¶¯Ä¦²ÁÁ¦µÄ¶¯Á¿´óС¹Øϵ£¬Í¬Ê±ÒªÄܹ»¸ù¾Ý¶¯Á¿¶¨Àí·ÖÎö£¬¹Ø¼ü×¢Ò⻬¶¯Ä¦²ÁÁ¦µÄÐÔÖÊ£¬ÖªµÀ»¬¶¯Ä¦²ÁÁ¦´óСֻÓëÕýѹÁ¦ºÍ½Ó´¥ÃæµÄ´Ö²Ú³Ì¶ÈÓйأ®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
6£®Èçͼ¼×Ëùʾ£¬ÔÚijһµç³¡ÖÐÓÐÒ»ÌõÖ±µç³¡Ïߣ¬Ôڵ糡ÏßÉÏÈ¡A¡¢BÁ½µã£¬½«Ò»¸öÕýµçºÉÓÉAµãÒÔijһ³õËÙ¶ÈvAÊÍ·Å£¬ËüÄÜÑØÖ±ÏßÔ˶¯µ½Bµã£¬ÇÒµ½´ïBµãʱËÙ¶ÈÇ¡ºÃΪÁ㣬Õâ¸öÕýµçºÉÔ˶¯µÄv-tͼÏóÈçͼ5ÒÒËùʾ£®ÔòÏÂÁÐÅжÏÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£® | ÕýµçºÉÔÚAµãµÄ¼ÓËÙ¶ÈÒ»¶¨Ð¡ÓÚÔÚBµãµÄ¼ÓËÙ¶È | |
B£® | Bµã³¡Ç¿Ò»¶¨Ð¡ÓÚAµã³¡Ç¿ | |
C£® | BµãµÄµçÊÆÒ»¶¨¸ßÓÚAµãµÄµçÊÆ | |
D£® | ¸Ãµç³¡¿ÉÄÜÊÇÕýµãµçºÉ²úÉúµÄ |
5£®ÈçͼËùʾ£¬ÔÚˮƽ¹â»¬Ï¸¸ËÉÏ´©×ÅA¡¢BÁ½¸ö¿ÉÊÓΪÖʵãµÄ¸ÕÐÔСÇò£¬Á½Çò¼ä¾àÀëΪL£¬ÓÃÁ½¸ù³¤¶ÈͬΪLµÄ²»¿ÉÉ쳤µÄÇáÉþÓëCÇòÁ¬½Ó£¬ÒÑÖªA¡¢B¡¢CÈýÇòÖÊÁ¿ÏàµÈ£¬¿ªÊ¼Ê±ÈýÇò¾²Ö¹Á½ÉþÉìÖ±£¬È»ºóͬʱÊÍ·ÅÈýÇò£¬ÔÚA¡¢BÁ½Çò·¢ÉúÅöײ֮ǰµÄ¹ý³ÌÖУ¬ÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£® | ϵͳ»úеÄÜÊغã | |
B£® | A¡¢B¶þÇò·¢ÉúÅöײǰ˲¼äCÇòËÙ¶ÈΪÁã | |
C£® | A¡¢B¶þÇòËٶȴóСʼÖÕÏàµÈ | |
D£® | A¡¢B¡¢CÈýÇò¶¯Á¿Êغã |
9£®ÈçͼËùʾ£¬¹â»¬¾øԵбÃæµÄÇã½ÇΪ¦È£¬ÔÚбÃæÉÏ·ÅÖÃÒ»¸ö¾ØÐÎÏß¿òabcd£¬ab±ßµÄ±ß³¤Îªl1£¬bcµÄ±ß³¤Îªl2£¬Ïß¿òµÄÖÊÁ¿m£¬×ܵç×èΪR£¬Ïß¿òͨ¹ýϸÏßÓëÖØÎïÏàÁ¬£¨Ï¸ÏßÓëбÃæƽÐУ©£®ÖØÎïÖÊÁ¿ÎªM£¬Ð±ÃæÉÏefÏߣ¨efƽÐÐÓÚghÇÒƽÐÐÓڵױߣ©µÄÉÏ·½Óд¹Ö±ÓÚбÃæÏòÉϵÄÔÈÇ¿´Å³¡£¨fhÔ¶´óÓÚl2£©£¬Èç¹ûÏß¿ò´Ó¾²Ö¹¿ªÊ¼Ô˶¯£¬ÇÒ½øÈë´Å³¡µÄ×î³õÒ»¶Îʱ¼äÊÇ×öÔÈËÙÔ˶¯£¬¼ÙÉèбÃæ×ã¹»³¤£¬Ô˶¯¹ý³Ì×Üab±ßʼÖÕÓëefƽÐУ¬Ôò£¨¡¡¡¡£©
A£® | Ïß¿òabcd½øÈë´Å³¡Ç°Ô˶¯µÄ¼ÓËÙ¶ÈΪ$\frac{Mg-mgsin¦È}{m}$ | |
B£® | Ïß¿òÔÚ½øÈë´Å³¡¹ý³ÌÖеÄÔ˶¯ËÙ¶Èv=$\frac{£¨Mg-mgsin¦È£©R}{{B}^{2}{l}_{1}^{2}}$ | |
C£® | Ïß¿ò×öÔÈËÙÔ˶¯µÄʱ¼äΪ$\frac{{B}^{2}{l}_{1}^{2}{l}_{2}}{£¨Mg-mgsin¦È£©R}$ | |
D£® | Ïß¿ò½øÈë´Å³¡¹ý³ÌÖвúÉúµÄ½¹¶úÈÈQ=£¨Mg-mgsin¦È£©l1 |
19£®ÈçͼËùʾ£¬ÊµÏßÊÇÒ»´øµçÁ£×Ó½öÔڵ糡Á¦×÷ÓÃÏÂÓÉaµãÔ˶¯µ½bµãµÄÔ˶¯¹ì¼££¬ÐéÏßÊǵ糡Ïߣ¬Ôò£¨¡¡¡¡£©
A£® | Á£×ÓÔÚaµãµÄ¼ÓËÙ¶ÈÒ»¶¨Ð¡ÓÚÔÚbµãµÄ¼ÓËÙ¶È | |
B£® | Á£×ÓÔÚaµãµÄ¶¯ÄÜ´óÓÚbµãµÄ¶¯ÄÜ | |
C£® | Á£×ÓÔÚaµãµÄµçÊÆÄÜ´óÓÚbµãµÄµçÊÆÄÜ | |
D£® | aµãµÄµçÊÆÒ»¶¨¸ßÓÚbµãµÄµçÊÆ |
6£®ÈçͼËùʾΪһƤ´ø´«¶¯×°Öã¬ÓÒÂְ뾶Ϊ2r£¬aÊÇËü±ßÔµÉϵÄÒ»µã£®×ó²àÊÇÒ»ÂÖÖᣬ´óÂֵİ뾶Ϊ4r£¬Ð¡Âֵİ뾶Ϊ2r£®bµãÔÚСÂÖÉÏ£¬µ½ÂÖÖÐÐĵľàÀëΪr£®cµãºÍdµã·Ö±ðλÓÚСÂֺʹóÂֵıßÔµÉÏ£®Èô´«¶¯¹ý³ÌÖÐƤ´ø²»´ò»¬£¬Ôò£¨¡¡¡¡£©
A£® | aµãÓëbµãµÄÏßËٶȴóСÏàµÈ | B£® | aµãÓëbµãµÄ½ÇËٶȴóСÏàµÈ | ||
C£® | aµãÓëcµãµÄÏßËٶȴóСÏàµÈ | D£® | aµãÓëdµãµÄÏòÐļÓËٶȴóСÏàµÈ |
1£®¹ØÓÚµç×è¡¢µç¸Ð¡¢µçÈݶԵçÁ÷×÷ÓõÄ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£® | µç¸ÐÏßȦ¶Ô½»Á÷µçµÄ×è°×÷ÓÃÊÇÓÉÓÚÏßȦ×ÔÉí´æÔÚµç×è | |
B£® | µç×è¶ÔÖ±Á÷µçºÍ½»Á÷µçµÄ×è°×÷ÓÃÏàͬ | |
C£® | ¸Ð¿¹¡¢ÈÝ¿¹ºÍµç×èÒ»Ñù£¬µçÁ÷ͨ¹ýËüÃÇ×ö¹¦Ê±¶¼ÊǵçÄÜת»¯ÎªÄÚÄÜ | |
D£® | ½»±äµçÁ÷µÄƵÂÊÔö¼Óʱ£¬µç×è¡¢µç¸ÐÏßȦ¡¢µçÈÝÆ÷¶ÔµçÁ÷µÄ×è°×÷Óö¼ÔöÇ¿ |
1£®ÈçͼAÖÐˮƽ·ÅÖõÄUÐι⻬½ðÊôµ¼¹ìNMPQ£¬MN½ÓÓеç¼üK£¬µ¼¹ì¿í¶ÈΪL£¬Æäµç×è²»¼Æ£¬ÔÚ×ó²à±ß³¤ÎªLµÄÕý·½ÐÎÇøÓò´æÔÚ·½ÏòÊúÖ±ÏòÉϴų¡B£¬Æä±ä»¯¹æÂÉÈçͼBËùʾ£¬ÖмäÒ»¶ÎûÓдų¡£¬ÓÒ²àÒ»¶ÎÇøÓò´æÔÚ·½ÏòÊúÖ±ÏòϵÄÔÈÇ¿´Å³¡£¬Æä´Å¸ÐӦǿ¶ÈΪB0£¬Ôڸöε¼¹ìÖ®¼ä·ÅÓÐÖÊÁ¿Îªm¡¢µç×èΪR¡¢³¤ÎªLµÄ½ðÊô°ôab£¬ÈôÔÚͼBËùʾµÄ$\frac{{t}_{0}}{2}$ʱ¿Ì¹Ø±Õµç¼üK£¬ÔòÔÚÕâһ˲¼ä£¨¡¡¡¡£©
A£® | ½ðÊô°ôabÖеĵçÁ÷·½ÏòΪÓÉaÁ÷Ïòb | |
B£® | ½ðÊô°ôabÖеĵçÁ÷´óСΪ$\frac{L{B}_{0}}{{t}_{0}R}$ | |
C£® | ½ðÊô°ôabËùÊÜ°²ÅàÁ¦·½ÏòˮƽÏòÓÒ | |
D£® | ½ðÊô°ôabµÄ¼ÓËٶȴóСΪ$\frac{{L}^{3}{B}_{0}^{2}}{m{t}_{0}R}$ |