3£®·ÉÐÐʱ¼äÖÊÆ×ÒÇ¿ÉÒÔ¸ù¾Ý´øµçÁ£×ӵķÉÐÐʱ¼ä¶ÔÆøÌå·Ö×Ó½øÐзÖÎö£®ÈçͼËùʾ£¬ÔÚÕæ¿Õ״̬Ï£¬×ÔÂö³å·§PÅç³ö΢Á¿ÆøÌ壬¾­¼¤¹âÕÕÉä²úÉú²»Í¬ÕýÀë×Ó£¬×Ôa°åС¿×½øÈëa¡¢b¼äµÄ¼ÓËٵ糡£¬´Ób°åС¿×Éä³ö£¬ÑØÖÐÏß·½Ïò½øÈëM¡¢N°å¼äµÄ·½ÐÎÇøÓò£¬È»ºóµ½´ï½ô¿¿ÔÚÆäÓÒ²àµÄ̽²âÆ÷£®ÒÑÖª¼«°åa¡¢b¼äµÄµçѹΪU0£¬¼ä¾àΪd£¬¼«°åM¡¢NµÄ³¤¶ÈºÍ¼ä¾à¾ùΪL£®²»¼ÆÀë×ÓÖØÁ¦¼°¾­¹ýa°åʱµÄ³õËٶȣ®
£¨1£©ÈôM¡¢N°å¼äÎ޵糡£¬ÇëÍƵ¼³öÀë×Ó´Óa°åµ½Ì½²âÆ÷µÄ·ÉÐÐʱ¼ätÓë±ÈºÉk£¨k=$\frac{q}{m}$£¬qºÍm·Ö±ðΪÀë×ӵĵçºÉÁ¿ºÍÖÊÁ¿£©µÄ¹Øϵʽ£®
£¨2£©ÈôÔÚM¡¢N¼äÖ»¼ÓÉÏƫתµçѹU1£¬ÇëÂÛ֤˵Ã÷²»Í¬ÕýÀë×ӵĹ켣ÊÇ·ñÖغϣ®
£¨3£©Îª±£Ö¤Àë×Ó²»´òÔÚ¼«°åÉÏ£¬ÊÔÇóU0ÓëU1µÄ¹Øϵ£®

·ÖÎö £¨1£©·ÖÎö´øµçÀë×ÓÔÚƽÐаåa¡¢bÖ®¼äºÍM¡¢NÖ®¼äµÄÔ˶¯Çé¿ö£¬ÔËÓÃÅ£¶ÙµÚ¶þ¶¨ÂɺÍÔ˶¯Ñ§¹«Ê½Çó½â£®
£¨2£©´øµçÀë×ÓÔÚƽÐаåM¡¢NÖ®¼ä×öÀàƽÅ×Ô˶¯£¬Çó³ö¹ì¼£·½³ÌÅжϣ®
£¨3£©À뿪ƫתµç³¡Ê±x=L£¬ÇÒÂú×ãy£¼$\frac{L}{2}$ʱÀë×Ó²»´òÔÚ¼«°åÉÏ£¬´Ó¶øÇó³öU0ÓëU1µÄ¹Øϵ£®

½â´ð ½â£º£¨1£©´øµçÀë×ÓÔÚƽÐаåa¡¢b¼äÔ˶¯Ê±£¬¸ù¾Ý¶¯Äܶ¨ÀíµÃ£º$q{U}_{0}=\frac{1}{2}m{v}^{2}-0$£¬
½âµÃ£ºv=$\sqrt{\frac{2q{U}_{0}}{m}}$£¬¼´£ºv=$\sqrt{2k{U}_{0}}$£®
´øµçÀë×ÓÔÚƽÐаåa¡¢b¼äµÄ¼ÓËÙ¶È${a}_{1}=\frac{q{U}_{0}}{md}$£¬¼´£º${a}_{1}=\frac{k{U}_{0}}{d}$£®
ËùÒÔ£¬´øµçÀë×ÓÔÚƽÐаåa¡¢b¼äÔ˶¯µÄʱ¼äΪ¡°${t}_{1}=\frac{v}{{a}_{1}}=\frac{d\sqrt{2k{U}_{0}}}{k{U}_{0}}$£®
´øµçÀë×ÓÔÚƽÐаåM¡¢N¼äÔ˶¯µÄʱ¼äΪ£º${t}_{2}=\frac{L}{v}=\frac{L}{\sqrt{2k{U}_{0}}}$£®
ËùÒÔ£¬´øµçÀë×ÓµÄÈ«²¿·ÉÐÐʱ¼äΪ£ºt=t1+t2=$\frac{2d+L}{\sqrt{2k{U}_{0}}}$£®
£¨2£©ÕýÀë×ÓÔÚƽÐаåM¡¢N¼äˮƽ·½ÏòÔ˶¯Î»ÒÆΪxʱ£¬ÔÚÊúÖ±·½ÏòÔ˶¯µÄλÒÆΪy£¬
ˮƽ·½ÏòÂú×ãx=vt¡­¢Ù
ÊúÖ±·½ÏòÂú×ãy=$\frac{1}{2}{a}_{2}{t}^{2}$¡­¢Ú
¼ÓËٶȣº${a}_{2}=\frac{{U}_{1}k}{L}$¡­¢Û
ÓÉÉÏÊö¢Ù¢Ú¢ÛµÃ£ºy=$\frac{{U}_{1}{x}^{2}}{4L{U}_{0}}$¡­¢Ü
¢ÜʽÊÇÕýÀë×ӵĹ켣·½³Ì£¬ÓëÕýÀë×ÓµÄÖÊÁ¿ºÍµçºÉÁ¿¾ùÎ޹أ¬ËùÒÔ£¬²»Í¬ÕýÀë×ӵĹ켣ÊÇÖغϵģ®
£¨3£©À뿪ƫתµç³¡Ê±x=L£¬ÇÒÂú×ãy£¼$\frac{L}{2}$ʱÀë×Ó²»´òÔÚ¼«°åÉÏ£®ÁÙ½çÇé¿öÏÂÓÐvx=vy
¸ù¾ÝµçÊÆÄÜת»¯ÎªÁ£×Ó¶¯ÄÜ£¬ÓÐ$\frac{1}{2}m{{v}_{x}}^{2}=q{U}_{0}=\frac{1}{2}m{{v}_{y}}^{2}=\frac{1}{2}q{U}_{1}$
´Ó¶ø¿ÉÖªU1£¼2U0ʱ£¬Àë×Ó²»´òÔÚ¼«°åÉÏ£®
´ð£º£¨1£©Àë×Ó´Óa°åµ½Ì½²âÆ÷µÄ·ÉÐÐʱ¼äΪ$\frac{2d+L}{\sqrt{2k{U}_{0}}}$£®
£¨2£©Ö¤Ã÷ÈçÉÏËùʾ£®
£¨3£©U1£¼2U0ʱ£¬Àë×Ó²»´òÔÚ¼«°åÉÏ£®

µãÆÀ ±¾Ì⿼²éÁ˵çºÉµÄ¼ÓËÙÓëµçºÉµÄƫת£¬¹Ø¼ü½«µçºÉµÄƫת½øÐзֽ⣬֪µÀÔÚˮƽ·½ÏòºÍÊúÖ±·½ÏòÉϵÄÔ˶¯¹æÂÉ£®½â¾ö¸ÃÌâ¹Ø¼üÒª°Ñ¶¯Äܶ¨Àí¡¢ÀàƽÅ×Ô˶¯¹æÂÉ¡¢Å£¶ÙÔ˶¯¶¨Âɼ°ÆäÏà¹Ø½áºÏ½â´ð£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

13£®ÈçͼËùʾ£¬M¡¢NÁ½½ðÊô°åÖ®¼äÓÐÏòÓҵļÓËٵ糡£¬Á½°åÖ®¼äµçѹΪU1£»P¡¢QÁ½°åµÄ¼ä¾àΪL1£¬Á½°åÖ®¼äÓÐÒ»´Å¸ÐӦǿ¶È´óСΪB¡¢·½ÏòˮƽÏòÐеÄÔÈÇ¿´Å³¡£¬Á½°åÕýÖÐÑëÓÐÒ»¿éÓëˮƽÖÐÐÄÖáÏß³É45¡ã½ÇµÄÓ²ÖÊËÜÁÏÏÁ³¤±¡°å£»ÔÚQ°åÓҲ೤¶ÈΪL2¡¢¿í¶ÈΪDµÄ¾ØÐÎÇøÓòÄÚ£¨¼ûͼÖÐÐéÏß¾ØÐÎabcdÇøÓò£©ÓÐÒ»µç³¡Ç¿¶È´óСΪE¡¢·½ÏòÊúÖ±ÏòϵÄÔÈÇ¿µç³¡£®Ò»ÖÊÁ¿Îªm¡¢µçÁ¿ÎªqµÄ´øµçÁ£×Ó´ÓM°åµÄС¿×´¦ÒÔ¼«Ð¡µÄ³õËÙ¶ÈÑØ×ÅÖÐÐÄÖáÏß½øÈë¼ÓËٵ糡£¬¾­¼ÓËÙºó´ÓN°åµÄС¿×´¦ÑØ×ÅÖÐÐÄÖáÏßˮƽÏòÓÒÉä³ö£¬²¢´ÓP°åµÄС¿×´¦Ë®Æ½ÉäÈëÔÈÇ¿´Å³¡ÖУ¬Á£×ÓÔÚ;ÖÐÓëÓ²ÖÊËÜÁÏÏÁ³¤°å·¢ÉúÍêÈ«µ¯ÐÔÅöײ£®×îºóÁ£×ÓÔ˶¯µ½Q°å²¢´ÓQ°åµÄС¿×ÖÐˮƽÉä³ö¶ø½øÈëQ°åÓÒ²àµÄµç³¡ÇøÓòÄÚ£®²»¼ÆÁ£×ÓËùÊÜÖØÁ¦¡¢¿ÕÆø×èÁ¦¼°Åöײʱ¼û£¬ÊÔÇó£º
£¨1£©Á£×Ó´ÓN°åÉä³öʱ¿ÌµÄËÙÂÊ£»
£¨2£©Á£×Ó´ÓP°åС¿×Ô˶¯µ½Q°åС¿×¾­ÀúµÄʱ¼ä£»
£¨3£©Á£×ÓÔÚQ°åÓÒ²à¾ØÐÎabcdÇøÓòµç³¡ÖеÄÔ˶¯Ê±¼ä£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

14£®ÈçͼËùʾ£¬ÊúÖ±·ÅÖõÄÍäÇú¹ÜA¶Ë¿ª¿Ú£¬B¶Ë·â±Õ£¬ÃܶÈΪ¦ÑµÄÒºÌ彫Á½¶Î¿ÕÆø·â±ÕÔÚ¹ÜÄÚ£®Èô´óÆøѹǿΪP0£¬¹ÜÄÚÒºÃæ¸ß¶ÈΪh1¡¢h2¡¢h3£¬ÔòB¶ËÆøÌåµÄѹǿΪ£¨¡¡¡¡£©
A£®P0-¦Ñg£¨h1+h2-h3£©B£®P0-¦Ñg£¨h1+h3£©C£®P0-¦Ñg£¨h1-h2+h3£©D£®P0-¦Ñg£¨h1+h2£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

11£®ÓÐÒ»²¨Ô´£¬Ëü×öÖÜÆÚΪT£¬Õñ·ùΪAµÄ¼òгÔ˶¯£¬ÔÚ½éÖÊÖÐÐγɲ¨ËÙΪvµÄ¼òгºá²¨£¬²¨ÔÚ$\frac{1}{4}$Tʱ¼äÄÚ´«²¥µÄ¾àÀëΪ$\frac{1}{4}vT$£¬½éÖÊÖеÄÖʵãÔÚ$\frac{1}{3}$Tʱ¼äÄÚͨ¹ýµÄ×î´ó·³ÌΪ$\sqrt{3}A$£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

18£®Á½¸öµãµçºÉQ1¡¢Q2¹Ì¶¨ÓÚxÖáÉÏ£¬½«Ò»´øÕýµçµÄÊÔ̽µçºÉ´Ó×ã¹»Ô¶´¦ÑØxÖḺ·½ÏòÒƽüQ2£¨Î»ÓÚ×ø±êÔ­µã£©µÄ¹ý³ÌÖУ¬ÊÔ̽µçºÉµÄµçÊÆÄÜEpËæλÖñ仯µÄ¹ØϵÈçͼËùʾ£¬ÔòÏÂÁÐÅжÏÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®MµãµçÊÆΪÁ㣬Nµã³¡Ç¿ÎªÁã
B£®Mµã³¡Ç¿ÎªÁ㣬NµãµçÊÆΪÁã
C£®Q1´ø¸ºµç£¬Q2´øÕýµç£¬ÇÒQ2µçºÉÁ¿½Ï´ó
D£®Q1´øÕýµç£¬Q2´ø¸ºµç£¬ÇÒQ2µçºÉÁ¿½Ï´ó

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

8£®µç×ӵĵçºÉÁ¿µÄ¾ø¶ÔֵΪe£¬ÖÊÁ¿Îªm£¬ÒÔËÙ¶Èv0Ñص糡Ïߵķ½ÏòÉäÈ볡ǿΪEµÄÔÈÇ¿µç³¡ÖУ¬ÈçͼËùʾ£¬µç×Ó´ÓAµãÉäÈ룬µ½BµãµÄËٶȱäΪÁ㣮
£¨1£©A£¬BÁ½µã¼äµÄµçÊƲîÊǶà´ó£¿
£¨2£©A£¬BÁ½µã¼äµÄ¾àÀëÊǶà´ó£¿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

15£®ÈôСÇò°Úµ½×îµÍµãʱÉþ×Ó¶ÏÁÑ£¬Ð¡Çòˮƽ·É³öʱµÄÀëµØ¸ß¶ÈΪH£¬Ôò£º
£¨1£©´Ó·É³öµ½ÂäµØµÄʱ¼ä£¿
£¨2£©Ð¡ÇòÂäµØʱµÄËٶȶà´ó£¿
£¨3£©ÂäµØµÄËٶȷ½Ïò£¿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ

12£®ÈçͼÊÇijÖʵãµÄv-tͼÏó£¬Ôò£¨¡¡¡¡£©
A£®ÔÚ1sµ½3sʱ¼äÄÚÖʵ㾲ֹ
B£®Ç°1sÖʵã×ö¼ÓËÙÔ˶¯£¬×îºó1sÖʵã×ö¼õËÙÔ˶¯
C£®Ç°1sºÍ×îºó1sÖʵãµÄ¼ÓËٶȴóС¾ùΪ3m/s2
D£®µÚ4sÄÚÖʵãµÄ¼ÓËÙ¶ÈΪ0

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÌî¿ÕÌâ

13£®¾²µç³¡ÊǾ²Ö¹µçºÉÖÜΧ¿Õ¼ä´æÔÚµÄÒ»ÖÖÎïÖÊ£»Í¨³£ÓõçÊÆÀ´ÃèÊöµç³¡µÄÄܵÄÐÔÖÊ£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸