2£®ÈçͼËùʾ£¬ÔÚxOyÆ½ÃæÄÚ£¬ÔÚxÖáÉÏ·½ÓдŸÐӦǿ¶ÈΪB1´¹Ö±Æ½ÃæÏòÍâÔÈÇ¿´Å³¡£®ÔÚxÖáÏ·½³ýÁËxOAÈý½ÇÐÎÇøÓòÄÚÓÐÆ½ÐÐxÖáµÄÔÈÇ¿µç³¡£¨Í¼ÖÐδ»­³ö£©Í⣬ÆäÓàÇøÓòÓÐÓдŻóӦǿ¶ÈΪB2´¹Ö±Æ½ÃæÏòÍâµÄÔÈÇ¿´Å³¡£¬B1¡¢B2´óСĩ֪£¬µ«B1=$\frac{4}{3}$B2£¬Ò»¸ö³õËÙ¶ÈΪv0µÄ´øÕýµçµÄÁ£×Ó£¬´ÓxÖáÉϵÄPµã´¹Ö±xÖá½øÈëxOAÇøÓòµÄÔÈÇ¿µç³¡ÖУ¬Á£×Ó¾­¹ý0A±ßʱ£¬ËÙ¶È·½ÏòÊÇ´¹Ö±OA±ßµÄ£¬Ôٴξ­¹ýxÖáµÄÕý°ëÖáÉϵÄQµãʱ£¨Qµãδ»­³ö£©ËÙ¶È·½ÏòÒ²ÊÇÓëxÖá´¹Ö±£¬´øµçÁ£×ÓûÓдÓOA±ß½øÈëµç³¡£¬ÒÑÖª£º¡ÏXOA=45¡ã£¬PµãµÄ×ø±êÊÇ£¨L£¬0£©£¬´øµçÁ£×ÓµÄÖÊÁ¿Îªm£¬µçºÉÁ¿Îªq£¨²»¼Æ´øµçÁ£×ÓÖØÁ¦£©£®Çó£º
£¨1£©ÔÈÇ¿µç³¡µÄµç³¡Ç¿¶ÈµÄ·½Ïò£¿
£¨2£©ÔÈÇ¿´Å³¡µÄ´Å¸ÐӦǿ¶ÈB1µÄ´óС£¿
£¨3£©´øµçÁ£×Ó´ÓPµãÔ˶¯µ½QµãµÄʱ¼ä£¿
£¨4£©P¡¢QÁ½µã¼äµÄ¾àÀ룮

·ÖÎö £¨1£©´øµçÁ£×ÓÔÚÔÈÇ¿µç³¡ÖÐ×öÀàÆ½Å×Ô˶¯£¬¸ù¾ÝËùÊܵĵ糡Á¦·½ÏòÈ·¶¨µç³¡Ç¿¶ÈµÄ·½Ïò£¬¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂɺÍÔ˶¯Ñ§¹«Ê½Çó³ö³¡Ç¿E£»
£¨2£©¸ù¾Ý¼¸ºÎ¹ØÏµÇó³öÁ£×ÓÔÚÔÈÇ¿´Å³¡${B}_{2}^{\;}$Öеİ뾶£¬¸ù¾ÝÂåÂ××ÈÁ¦ÌṩÏòÐÄÁ¦Çó³ö${B}_{2}^{\;}$£¬ÓÉ${B}_{1}^{\;}$¡¢${B}_{2}^{\;}$µÄ¹ØÏµÇó³ö${B}_{1}^{\;}$£»
£¨3£©·Ö±ðÇó³öÁ£×ÓÀàÆ½Å×ʱ¼äºÍÔÚÔÈÇ¿´Å³¡${B}_{1}^{\;}$¡¢${B}_{2}^{\;}$ÖеÄÔÈËÙÔ²ÖÜÔ˶¯ËùÓÃʱ¼äÖ®ºÍ£¬¼´¿ÉÇó³ö´øµçÁ£×Ó´ÓPµãÔ˶¯µ½QµãµÄʱ¼ä£»
£¨4£©¸ù¾Ý¼¸ºÎ¹ØÏµÇó³öP¡¢QÁ½µã¼äµÄ¾àÀ룻

½â´ð ½â£º£¨1£©´øµçÁ£×ÓÔÚÔÈÇ¿µç³¡ÖÐ×öÀàÆ½Å×Ô˶¯£¬¿ÉÖª´øµçÁ£×ÓÊܵ½µç³¡Á¦Æ½ÐÐxÖᣬ·½ÏòÑØxÖḺ·½Ïò£®ÓÉÓÚ´øµçÁ£×Ó´øÕýµç£¬ËùÒԵ糡ǿ¶È·½ÏòƽÐÐxÖá£¬ÑØxÖḺ·½Ïò
ÓÉÅ£¶ÙµÚ¶þ¶¨Âɵ㺴øµçÁ£×ӵļÓËÙ¶È$a=\frac{qE}{m}$
¸ù¾ÝÀàÆ½Å×Ô˶¯¹æÂɿɵãº
xÖá·½Ïò£º$x=\frac{1}{2}a{t}_{1}^{2}$£¬${v}_{x}^{\;}=a{t}_{1}^{\;}$
yÖá·½Ïò£º$y={v}_{0}^{\;}{t}_{1}^{\;}$
$tan45¡ã=\frac{{v}_{y}^{\;}}{{v}_{0}^{\;}}$
Óɼ¸ºÎ¹ØÏµ¿ÉµÃ£ºx+y=L
×ÛÉϽâµÃ£º$E=\frac{3m{v}_{0}^{2}}{2qL}$£¬${t}_{1}^{\;}=\frac{2L}{3{v}_{0}^{\;}}$£¬$y=\frac{2L}{3}$
£¨2£©´øµçÁ£×ÓÔڴų¡ÖÐÔ˶¯µÄËÙ¶È$v=\sqrt{2}{v}_{0}^{\;}$
Á£×Ó¾­¹ýOA±ßʱ£¬ËÙ¶È·½ÏòÊÇ´¹Ö±OA±ßµÄ£¬Ôٴξ­¹ýxÖáµÄÕý°ëÖáÉϵÄQµãʱ£¬ËÙ¶ÈÒ²ÊÇÓëxÖá´¹Ö±£¬ËµÃ÷´øµçÁ£×Ó¾­¹ýxÖḺ°ëÖáʱ£¬Ò²ÓëxÖá´¹Ö±£¬ËùÒÔ´øµçÁ£×ÓÔÚÔÈÇ¿´Å³¡${B}_{2}^{\;}$ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯µÄÔ²ÐľÍÊÇÔ­µãO£¬ËùÒÔÁ£×ÓÔÚÔÈÇ¿´Å³¡${B}_{2}^{\;}$ÖÐ×öÔ²ÖÜÔ˶¯µÄ°ë¾¶${r}_{2}^{\;}=\sqrt{2}y=\frac{2\sqrt{2}}{3}L$
Á£×Ó×öÔ²ÖÜÔ˶¯µÄÏòÐÄÁ¦ÓÉÂåÂ××ÈÁ¦Ìṩ
$qv{B}_{2}^{\;}=m\frac{{v}_{\;}^{2}}{{r}_{2}^{\;}}$£¬½âµÃ£º${B}_{2}^{\;}=\frac{mv}{q{r}_{2}^{\;}}=\frac{3m{v}_{0}^{\;}}{2qL}$£¬ËùÒÔ${B}_{1}^{\;}=\frac{4}{3}{B}_{2}^{\;}=\frac{2m{v}_{0}^{\;}}{qL}$
Á£×ÓÔÚÔÈÇ¿´Å³¡${B}_{2}^{\;}$ÖÐ×öÔ²ÖÜÔ˶¯µÄʱ¼ä${t}_{2}^{\;}=\frac{s}{v}=\frac{\frac{3}{4}¦Ð{r}_{2}^{\;}}{v}=\frac{¦ÐL}{2{v}_{0}^{\;}}$
£¨3£©Á£×ÓÔÚÔÈÇ¿´Å³¡${B}_{1}^{\;}$ÖÐ×öÔ²ÖÜÔ˶¯µÄÏòÐÄÁ¦ÓÉÂåÂ××ÈÁ¦Ìṩ
$qv{B}_{1}^{\;}=m\frac{{v}_{\;}^{2}}{{r}_{1}^{\;}}$£¬½âµÃ£º${r}_{1}^{\;}=\frac{mv}{q{B}_{1}^{\;}}=\frac{\sqrt{2}}{2}L$
Á£×ÓÔÚÔÈÇ¿´Å³¡${B}_{1}^{\;}$ÖÐ×öÔ²ÖÜÔ˶¯µÄʱ¼ä${t}_{3}^{\;}=\frac{s¡ä}{v}=\frac{¦Ð{r}_{1}^{\;}}{v}=\frac{¦ÐL}{2{v}_{0}^{\;}}$
ËùÒÔ´øµçÁ£×Ó´ÓPµãÔ˶¯µ½QµãµÄʱ¼ä$t={t}_{1}^{\;}+{t}_{2}^{\;}+{t}_{3}^{\;}=\frac{£¨2+3¦Ð£©L}{3{v}_{0}^{\;}}$
£¨4£©P¡¢QÁ½µã¼äµÄ¾àÀë$¡÷x=L+{r}_{2}^{\;}-2{r}_{1}^{\;}=\frac{3-\sqrt{2}}{3}L$
´ð£º£¨1£©ÔÈÇ¿µç³¡µÄµç³¡Ç¿¶ÈµÄ·½ÏòÑØxÖḺ·½Ïò£¬´óСΪ$\frac{3m{v}_{0}^{2}}{2qL}$
£¨2£©ÔÈÇ¿´Å³¡µÄ´Å¸ÐӦǿ¶ÈB1µÄ´óС$\frac{2m{v}_{0}^{\;}}{2qL}$
£¨3£©´øµçÁ£×Ó´ÓPµãÔ˶¯µ½QµãµÄʱ¼ä$\frac{£¨2+3¦Ð£©L}{3{v}_{0}^{\;}}$
£¨4£©P¡¢QÁ½µã¼äµÄ¾àÀë$\frac{3-\sqrt{2}}{3}L$

µãÆÀ ¿¼²é´øµçÁ£×Ó×öÔÈËÙÔ²ÖÜÔ˶¯ÓëÀàÆ½Å×Ô˶¯ÖУ¬ÓÃÅ£¶ÙµÚ¶þ¶¨ÂÉÓëÔ˶¯Ñ§¹«Ê½£¬²¢½áºÏ¼¸ºÎ¹ØÏµÀ´´¦ÀíÕâÁ½ÖÖÔ˶¯£¬Ç¿µ÷Ô˶¯µÄ·Ö½â£¬²¢Í»³ö׼ȷµÄÔ˶¯¹ì¼£Í¼£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ

10£®ÈçͼËùʾ£¬Ë®Æ½Ï¸¸ËÉÏÌ×һϸ»·A¡¢»·AÓëÇòB¼äÓÃÒ»ÇáÖÊÉþÏàÁ¬£¬ÖÊÁ¿·Ö±ðΪmA¡¢mB£¬ÓÉÓÚBÇòÊܵ½Ë®Æ½ºãÁ¦FµÄ×÷Óã¬A»·ÓëBÇòÒ»ÆðÏòÓÒÔÈËÙÔ˶¯£¬ÉþÓëÊúÖ±·½ÏòµÄ¼Ð½ÇΪ¦È£¬ÔòÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®BÇòÊܵ½µÄºãÁ¦FСΪmAg+tan¦È
B£®Éþ¶ÔBÇòµÄÀ­Á¦Îª$\frac{{m}_{B}g}{sin¦È}$
C£®¸Ë¶ÔA»·µÄµ¯Á¦Îª£¨mA+mB£©g
D£®A»·Óë¸ËµÄ¶¯Ä¦²ÁÒòÊýΪ$\frac{{m}_{B}}{{m}_{A}+{m}_{B}}$tan¦È

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¼ÆËãÌâ

11£®ÈçͼËùʾ£¬Ð±ÃæÇã½Ç¦È£¬Ð±Ãæµ×¶ËÓÐÒ»ÖÊÁ¿ÎªmµÄÎïÌ壬ÎïÌåÓëÐ±Ãæ¼äµÄ»¬¶¯Ä¦²ÁϵÊý¦Ì£¬½ñÓÃһˮƽÁ¦FʹÎïÌåÏòÉÏÔ˶¯£¬ÇóÎïÌåµÄ¼ÓËÙ¶È£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¼ÆËãÌâ

8£®´Óijһ¸ß¶È×ÔÓÉÏÂÂäµ½µØÃæµÄÎïÌ壬ÔÚÏÂÂäÈ«¹ý³Ìʱ¼äµÄÕýÖмä1sÄÚͨ¹ýµÄ·³ÌΪ20m£¬gÈ¡10m/s2£¬ÊÔÇó£º
£¨1£©ÎïÌå¸ÕÏÂÂäµÄ¸ß¶È£»
£¨2£©ÎïÌåͨ¹ýÈ«³Ì¸ß¶ÈÕýÖмäµÄ20mÄÚËùÐèµÄʱ¼ä£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¼ÆËãÌâ

15£®¼×¡¢ÒÒÁ½³µÔÚÒ»Ö±ÏßÉÏͬÏòÐÐÊ»£¬¼×³µÔÚºó×öÔÈËÙÖ±ÏßÔ˶¯£¬ÆäËÙ¶ÈΪv0=18m/s£¬ÒÒ³µÔڼ׳µÇ°100m´¦£¬Óɾ²Ö¹¿ª×öÔȼÓËÙÖ±ÏßÔ˶¯£¬¼ÓËÙ¶Èa=2m/s2£®Ôò£º
£¨1£©¼×³µÄÜ·ñ×·ÉÏÒÒ³µ£¿
£¨2£©Èô¼×³µÄÜ×·ÉÏÒÒ³µ£¬Çó¼×³µ×·ÉÏÒÒ³µÊ±¼×³µµÄÎ»ÒÆ´óС£¿Èô¼×³µ×·²»ÉÏÒÒ³µ£¬Çó¼×¡¢ÒÒÁ½³µµÄ×îС¾àÀ룿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

7£®Èçͼ1Ëùʾ£¬ÔÚÓòåÕë·¨²âÉÏϱíÃæÆ½ÐеIJ£Á§×©ÕÛÉäÂʵÄʵÑéÖУ¬ÒÑÈ·¶¨ºÃÈëÉä·½ÏòAO£¬²åÁËÁ½Ã¶´óÍ·ÕëP1ºÍP2£¬1¡¢2¡¢3·Ö±ðÊÇÈýÌõÖ±Ïߣ®

£¨1£©¹ØÓÚÒÔºó²Ù×÷µÄ˵·¨ÖУ¬ÄãÈÏΪÕýÈ·µÄÊÇB£®
A£®ÔÚbb¡ä²àµ÷Õû¹Û²ìÊÓÏߣ¬ÁíÁ½Ã¶´óÍ·ÕëP3ºÍP4¿ÉÄܲåÔÚ3ÏßÉÏ
B£®ÔÚbb¡ä²àµ÷Õû¹Û²ìÊÓÏߣ¬ÁíÁ½Ã¶´óÍ·ÕëP3ºÍP4¿ÉÄܲåÔÚ2ÏßÉÏ
C£®±£³ÖOµã²»¶¯£¬¼õСÈëÉä½Ç£¬ÔÚbb¡ä²àµ÷Õû¹Û²ìÊÓÏߣ¬ÁíÁ½Ã¶´óÍ·ÕëP3ºÍP4¿ÉÄܲåÔÚ1ÏßÉÏ
D£®±£³ÖOµã²»¶¯£¬Ôö´óÈëÉä½Ç£¬ÔÚbb¡ä²àµ÷Õû¹Û²ìÊÓÏߣ¬½«¿´²»ÇåP1ºÍP2µÄÏñ£¬Õâ¿ÉÄÜÊǹâÔÚbb¡ä²àÃæ·¢ÉúÁËÈ«·´Éä
£¨2£©ÔÚÓòåÕë·¨²â¶¨²£Á§×©ÕÛÉäÂʵÄʵÑéÖУ¬¼×¡¢ÒÒÁ½Î»Í¬Ñ§ÔÚÖ½ÉÏ»­³öµÄ½çÃæab¡¢cdÓë²£Á§×©Î»ÖõĹØÏµ·Ö±ðÈçͼ2¡¢3Ëùʾ£¬ÆäÖм×ͬѧÓõÄÊǾØÐβ£Á§×©£¬ÒÒͬѧÓõÄÊÇÌÝÐβ£Á§×©£®ËûÃÇµÄÆäËû²Ù×÷¾ùÕýÈ·£¬ÇÒ¾ùÒÔab¡¢cdΪ½çÃæ»­¹â·ͼ£®Ôò¼×ͬѧ²âµÃµÄÕÛÉäÂÊÓëÕæÊµÖµÏà±ÈƫС£»ÒÒͬѧ²âµÃµÄÕÛÉäÂÊÓëÕæÊµÖµÏà±È²»±ä£®£¨Ìî¡°Æ«´ó¡±¡¢¡°Æ«Ð¡¡±»ò¡°²»±ä¡±£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

14£®ÈçͼËùʾµç·ÖеÆÅÝA¡¢B¾ù²»ÁÁ£¬µ«µç·ÖÐÖ»ÓÐÒ»´¦¶Ï¿ª£¬ÏÖ×÷µçѹ±í²âµÃUab=0¡¢Uac=0¡¢Ubd=3V¡¢Ucd=3V£¬Ôò¿É·ÖÎö³ö£¨¡¡¡¡£©
A£®BµÆ¶Ï¿ªB£®AµÆ¶Ï¿ªC£®µçÔ´¶Ï¿ªD£®R¶Ï¿ª

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¼ÆËãÌâ

11£®ÈçͼËùʾ£¬Æ½ÐнðÊô°åA¡¢B¼ä´æÔÚ¼ÓËÙµçѹ£¬Ò»¸ö²»¼ÆÖØÁ¦¡¢´øÕýµçºÉµÄÁ£×Ó´ÓA°å¸½½üÓɾ²Ö¹¿ªÊ¼±»¼ÓËÙ£¬Ç¡ºÃ´ÓB°åС¿×P·É³ö£¬B°åÉÏ·½·Ö²¼Óг¡Ç¿ÎªEµÄÔÈÇ¿µç³¡£¬µ±³¡Ç¿·½ÏòÊúÖ±ÏòÏÂʱ£¬Á£×Ó´ÓС¿×P´òÈëµç³¡£¬ÄÜÔڵ糡ÖÐÉÏÉýµÄ×î´ó¸ß¶ÈΪL£®¿Õ¼äÖÐÁ½µãM¡¢NÁ¬ÏßÓëB°å³É45¡ã½Ç£®
£¨1£©ÇóA¡¢B°å¼äµÄ¼ÓËÙµçѹU£®
£¨2£©Èô½«ÔÈÇ¿µç³¡·½Ïòµ÷ÕûΪˮƽÏòÓÒ£¬ÔòͬÑù´ÓP¿×´ò³öÏàͬÁ£×Ó½øÈëµç³¡£¬Á£×ÓÇ¡ºÃ´¹Ö±MNÏß·½Ïòͨ¹ýQµã£¨QµãͼÖÐδ»­³ö£©£¬ÇóÁ£×Ó¾­¹ýMNÏßµÄλÖÃQ¾àMµãµÄ¾àÀëlMQ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ

12£®½«Ð¡ÇòÒÔ3m/sµÄËÙ¶ÈˮƽÅ׳ö£¬ËüÂ䵨ËÙ¶ÈΪ5m/s£¬ÒÔvx¡¢vy·Ö±ð±íʾˮƽ¡¢ÊúÖ±·ÖËÙ¶È£¬ÒÔay±íʾÊúÖ±·Ö¼ÓËÙ¶È£¬È¡g=10m/s2£¬ÔòͼÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®B£®
C£®D£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸