3£®ÈçͼËùʾ£¬ÖÊÁ¿ÎªmµÄСÎï¿éAÒÔˮƽËÙ¶Èv0»¬ÉÏÔ­À´¾²Ö¹Ôڹ⻬ˮƽÃæÉÏÖÊÁ¿ÎªMµÄС³µBÉÏ£¬Îï¿éÓëС³µ¼äµÄ¶¯Ä¦²ÁÒòÊýΪ¦Ì£¬Ð¡³µ×ã¹»³¤£®ÒÔÏÂ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®AµÄËÙ¶È×îСʱ£¬BµÄËٶȴï×î´ó
B£®A¡¢BµÄËÙ¶ÈÏàµÈʱµÄËÙ¶ÈΪ$\frac{m}{M}$v0
C£®A¶ÔBµÄĦ²ÁÁ¦Ëù×öµÄ¹¦£¬µÈÓÚB¶ÔAµÄĦ²ÁÁ¦Ëù×öµÄ¹¦
D£®ÒªÊ¹A²»»¬³öС³µB£¬Ð¡³µ³¤¶ÈÖÁÉÙΪ$\frac{M{{v}_{0}}^{2}}{2¦Ì£¨M+m£©g}$

·ÖÎö ¸ù¾ÝºÏÍâÁ¦Çé¿öµÃµ½Ô˶¯Çé¿ö£¬½ø¶øµÃµ½Á½ÎïÌåµÄËÙ¶ÈÇé¿ö¼°¹²Í¬Ëٶȣ»È»ºó¸ù¾ÝÏà¶ÔλÒƵõ½×ö¹¦Çé¿ö£¬Óɶ¯Äܶ¨ÀíÇóµÃÏà¶ÔλÒÆ£®

½â´ð ½â£ºA¡¢A»¬ÉÏBºó£¬ÔÚĦ²ÁÁ¦f=¦ÌmgµÄ×÷ÓÃÏ£¬A×öÔȼõËÙÔ˶¯£¬B×öÔȼÓËÙÔ˶¯£¬ÈôÄÜ´ïµ½¹²Í¬Ëٶȣ¬ÔòÒ»ÆðÏòÓÒ×öÔÈËÙÖ±ÏßÔ˶¯£»
¹ÊAµÄËÙ¶È×îСʱ£¬BµÄËٶȴï×î´ó£¬¹ÊAÕýÈ·£»
B¡¢AB×÷Ϊһ¸öÕûÌ壬ÄÇôºÏÍâÁ¦ÎªÁ㣬ËùÒÔ£¬¶¯Á¿Êغ㣬¹ÊÓÐA¡¢BµÄËÙ¶ÈÏàµÈʱµÄËÙ¶ÈΪ$v=\frac{m}{M+m}{v}_{0}$£¬¹ÊB´íÎó£»
C¡¢A¶ÔBµÄĦ²ÁÁ¦ºÍB¶ÔAµÄĦ²ÁÁ¦´óСÏàµÈ£¬·½ÏòÏà·´£»ÇÒAµÄλÒÆ´óÓÚBµÄλÒÆ£¬¹ÊA¶ÔBµÄĦ²ÁÁ¦Ëù×öµÄ¹¦£¨ÎªÕý¹¦£©£¬Ð¡ÓÚB¶ÔAµÄĦ²ÁÁ¦Ëù×öµÄ¹¦£¨Îª¸º¹¦£©£¬¹ÊC´íÎó¡®
D¡¢ÒªÊ¹A²»»¬³öС³µB£¬ÄÇôС³µ³¤¶ÈÖÁÉÙΪ´ïµ½¹²Í¬ËÙ¶ÈÇ°AÔÚBÉÏ»¬¶¯µÄ¾àÀ룬¹ÊÓɶ¯Äܶ¨Àí¿ÉµÃ¾àÀëΪ$\frac{\frac{1}{2}m{{v}_{0}}^{2}-\frac{1}{2}£¨M+m£©{v}^{2}}{¦Ìmg}=\frac{\frac{1}{2}m{{v}_{0}}^{2}£¨1-\frac{m}{M+m}£©}{¦Ìmg}$=$\frac{M{{v}_{0}}^{2}}{2¦Ì£¨M+m£©g}$£¬¹ÊDÕýÈ·£»
¹ÊÑ¡£ºAD£®

µãÆÀ ¾­µäÁ¦Ñ§ÎÊÌâÒ»°ãÏȶÔÎïÌå½øÐÐÊÜÁ¦·ÖÎö£¬ÇóµÃºÏÍâÁ¦¼°Ô˶¯¹ý³Ì×ö¹¦Çé¿ö£¬È»ºó¸ù¾ÝÅ£¶Ù¶¨ÂÉ¡¢¶¯Äܶ¨Àí¼°¼¸ºÎ¹ØϵÇó½â£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¼ÆËãÌâ

1£®±±¾©Ó®µÃÁË2022ÄêµÚ¶þÊ®ËĽ춬¼¾°ÂÁÖÆ¥¿ËÔ˶¯»áµÄ¾Ù°ìȨ£¬ÒýµÃÔ½À´Ô½¶àµÄÌåÓý°®ºÃÕ߲μӻ¬Ñ©Ô˶¯£®ÈçͼËùʾ£¬Ä³»¬Ñ©³¡µÄÑ©µÀÓÉÇãб²¿·ÖAB¶ÎºÍˮƽ²¿·ÖBC¶Î×é³É£¬ÆäÖÐÇãбѩµÀABµÄ³¤L=25m£¬¶¥¶Ë¸ßH=15m£¬»¬Ñ©°åÓëÑ©µÀ¼äµÄ¶¯Ä¦²ÁÒòÊý¦Ì=0.25£®»¬Ñ©°®ºÃÕßÿ´ÎÁ·Ï°Ê±¾ùÔÚÇãбѩµÀµÄ¶¥¶ËA´¦ÒÔˮƽËٶȷɳö£¬Â䵽ѩµÀʱËû¿¿¸Ä±ä×ËÊƽøÐлº³å£¬Ç¡ºÃ¿ÉÒÔʹ×Ô¼ºÔÚÂ䵽ѩµÀÇ°ºóÑØÑ©µÀ·½ÏòµÄËÙ¶ÈÏàͬ£®²»¼Æ¿ÕÆø×èÁ¦Ó°Ï죬ȡÖØÁ¦¼ÓËÙ¶Èg=10m/s2£®

£¨1£©µÚÒ»´Î»¬Ñ©°®ºÃÕßˮƽ·É³öºó¾­t1=1.5sÂ䵽ѩµÀÉϵÄD´¦£¨Í¼ÖÐδ±ê³ö£©£¬Çóˮƽ³õËÙ¶Èv1¼°A¡¢DÖ®¼äµÄˮƽλÒÆx1£®
£¨2£©µÚ¶þ´Î¸Ã°®ºÃÕßµ÷Õûˮƽ³õËٶȣ¬Â䵽ѩµÀÉϵÄE´¦£¨Í¼ÖÐδ±ê³ö£©£¬ÒÑÖªA¡¢EÖ®¼äµÄˮƽλÒÆΪx2£¬ÇÒ${x_1}£º{x_2}=1£º\sqrt{3}$£¬Çó¸Ã°®ºÃÕßÂ䵽ѩµÀÉϵÄE´¦Ö®ºóµÄ»¬ÐоàÀës£®
£¨3£©¸Ã°®ºÃÕßÔÚËæºóµÄ¼¸´ÎÁ·Ï°Öж¼ÂäÔÚÑ©µÀµÄAB¶Î£¬Ëû¸ù¾Ý¾­ÑéµÃ³öÈçϽáÂÛ£ºÔÚA´¦Ë®Æ½ËÙ¶ÈÔ½´ó£¬Â䵽ѩµÀǰ˲ʱµÄËÙ¶ÈÔ½´ó£¬Ëٶȷ½ÏòÓëÑ©µÀµÄ¼Ð½ÇÒ²Ô½´ó£®ËûµÄ¹ÛµãÊÇ·ñÕýÈ·£¬ÇëÄãÅжϲ¢ËµÃ÷ÀíÓÉ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ

2£®ÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®²¨¿ÉÒÔÈƹýÕÏ°­Îï¼ÌÐø´«²¥µÄÏÖÏó½Ð×ö²¨µÄ¸ÉÉæ
B£®²¨Ô´Óë¹Û²ìÕßÏ໥¿¿½üʱ£¬¹Û²ìÕß½ÓÊÕµ½µÄ²¨µÄƵÂÊ»á±äС
C£®×ÔÈ»¹â¾­¹ýÆ«ÕñƬºó»á±ä³ÉÆ«Õñ¹â£¬ËµÃ÷¹âÊÇÒ»ÖֺᲨ
D£®º¬ÓжàÖÖÑÕÉ«µÄ¹â±»·Ö½âΪµ¥É«¹âµÄÏÖÏó½Ð×ö¹âµÄÉ«É¢

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ

19£®ÒÔÏÂËĸöÎïÀíʵÑéÇé¾°ÖУ¬ÓÐÉø͸¡°·Å´ó¡±Ë¼Ïë·½·¨µÄÊÇ£¨¡¡¡¡£©
A£®
ÏÔʾ×ÀÃæÊÜÁ¦Ðαä
B£®
ÏÔʾ²£Á§Æ¿ÊÜÁ¦Ðαä
C£®
²â¶¨ÒýÁ¦³£Êý
D£®
̽¾¿·ÖÁ¦ºÏÁ¦µÄ¹Øϵ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

6£®$\left.\begin{array}{l}{24}\\{11}\end{array}\right.$NaÊÇÈ˹¤²úÉúµÄ·ÅÉäÐÔÔªËØ£¬$\left.\begin{array}{l}{24}\\{11}\end{array}\right.$Na²úÉúºó»á×Ô·¢µÄË¥±ä³É$\left.\begin{array}{l}{24}\\{12}\end{array}\right.$Mg£®¹ØÓÚ$\left.\begin{array}{l}{24}\\{11}\end{array}\right.$NaË¥±ä³É$\left.\begin{array}{l}{24}\\{12}\end{array}\right.$Mg£¬ÏÂÁÐÃèÊöÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®ÉÏÊöºË·´Ó¦ÊôÓÚ¦ÁË¥±ä
B£®ÉÏÊöºË·´Ó¦ÊôÓÚ¦ÂË¥±ä
C£®$\left.\begin{array}{l}{24}\\{11}\end{array}\right.$NaµÄ°ëË¥ÆÚËæ×ÅÊýÁ¿µÄ¼õÉÙ¶øÔö´ó
D£®$\left.\begin{array}{l}{24}\\{11}\end{array}\right.$NaµÄ°ëË¥ÆÚËæζÈÉý¸ß¡¢Ñ¹Ç¿Ôö´ó¶ø±äС

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

8£®ÈçͼËùʾ£¬×ÔÓÉÏÂÂäµÄСÇò£¬´Ó½Ó´¥ÊúÖ±·ÅÖõÄÇáÖʵ¯»É¿ªÊ¼£¬µ½Ñ¹Ëõµ¯»Éµ½×î´óÐαäµÄ¹ý³ÌÖУ¬ÒÔÏÂ˵·¨ÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®Ð¡ÇòµÄËÙ¶ÈÖð½¥¼õС
B£®Ð¡ÇòµÄÖØÁ¦ÊÆÄÜÖð½¥¼õС
C£®µ¯»ÉµÄµ¯ÐÔÊÆÄÜÏÈÖð½¥Ôö´óÔÙÖð½¥¼õС
D£®Ð¡ÇòµÄ¼ÓËÙ¶ÈÖð½¥Ôö´ó

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

15£®ÖÊÁ¿ÎªmµÄÎïÌå´ÓµØÃæÉÏ·½H¸ß´¦ÎÞ³õËÙ¶ÈÊÍ·Å£¬ÂäÔÚµØÃæºó³öÏÖÒ»¸öÉî¶ÈΪhµÄ¿Ó£¬ºöÂÔ¿ÕÆø×èÁ¦£¬ÈçͼËùʾ£¬Ôڴ˹ý³ÌÖУ¨¡¡¡¡£©
A£®ÖØÁ¦¶ÔÎïÌå×ö¹¦ÎªmgHB£®ÎïÌåµÄ»úеÄܼõÉÙÁËmg£¨H+h£©
C£®ÎïÌå¿Ë·þ×èÁ¦×ö¹¦ÎªmghD£®ÎïÌåµÄ×î´ó¶¯ÄܵÈÓÚmg£¨H+h£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÊµÑéÌâ

12£®Ä³Í¬Ñ§Éè¼ÆÁËÒ»¸öÓôòµã¼ÆʱÆ÷ÑéÖ¤¶¯Á¿Êغ㶨ÂɵÄʵÑ飬ÍÆһϳ¤Ä¾°åÉϵÄС³µa£¨×ó¶ËÕ³ÓÐÏðƤÄࣩ£¬Ê¹Ëü×öÖ±ÏßÔ˶¯£¬È»ºóÓëÔ­À´¾²Ö¹µÄС³µbÏàÅö²¢Õ³ÔÚÒ»Æð¼ÌÐø×öÖ±ÏßÔ˶¯£®ÔÚС³µaµÄºóÃæÁ¬×ÅÖ½´ø²¢´©¹ý´òµã¼ÆʱÆ÷£¬´òµã¼ÆʱÆ÷½Ó50HzµÄ½»±äµçÁ÷£¬Èçͼ¼×Ëùʾ£®                                                 
£¨1£©Èô³¤Ä¾°åÓÒ¶ËÏ·½Êʵ±µæЩСľƬ£¬ÊÇΪÁËƽºâĦ²ÁÁ¦£»
£¨2£©ÈôÒѵõ½´òµãÖ½´øÈçͼÒÒËùʾ£¬²¢²âµÃ¸÷¼ÆÊýµã¼ä¾à£¬AΪÔ˶¯Æðµã£¬ÔòÓ¦¸ÃÑ¡ÔñBC¶ÎÀ´¼ÆËãaµÄÅöÇ°µÄËٶȣ¬Ó¦Ñ¡ÔñDE¶ÎÀ´¼ÆËãaºÍbÅöºóµÄ¹²Í¬Ëٶȣ¨ÒÔÉÏ¿Õ¸ñÑ¡Ìî¡°AB¡±¡°BC¡±¡°CD¡±»ò¡°DE£©£®
£¨3£©ÒѲâµÃС³µaµÄÖÊÁ¿m1=0.40kg£¬Ð¡³µbµÄÖÊÁ¿m2=0.20kg£¬ÓÉÒÔÉϲâÁ¿½á¹û¿ÉµÃÅöÇ°m1v0=0.420kg•m/s£»Åöºó£¨m1+m2£©v=0.416kg•m/s£¨½á¹û¾ù±£ÁôÈýλÓÐЧÊý×Ö£©£®ÊµÑéÎó²î²úÉúµÄÔ­Òò¿ÉÄÜÊÇÖ½´øÓëÏÞλ¿×¼ä´æÔÚĦ²ÁÁ¦£¨ÌîдһÌõ¼´¿É£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

13£®ÈçͼËùʾ£¬Á½¸öÄöºÏת¶¯µÄ³ÝÂÖ£¬ÆäÖÐС³ÝÂְ뾶Ϊ10cm£¬´ó³ÝÂְ뾶Ϊ20cm£¬A¡¢BÁ½µã·Ö±ðΪÁ½¸ö³ÝÂÖ±ßÔµÉϵĵ㣮ÔòA¡¢BÁ½µãµÄ£¨¡¡¡¡£©
A£®ÏßËÙ¶ÈÖ®±ÈÊÇ1£º2B£®½ÇËÙ¶ÈÖ®±ÈÊÇ2£º1
C£®ÏòÐļÓËÙ¶ÈÖ®±ÈÊÇ1£º1D£®×ª¶¯ÖÜÆÚÖ®±ÈÊÇ1£º1

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸