ÌâÄ¿ÄÚÈÝ

¾«Ó¢¼Ò½ÌÍøÆøµæµ¼¹ìÊdz£ÓõÄÒ»ÖÖʵÑéÒÇÆ÷£¬ËüÊÇÀûÓÃÆø±Ãʹ´ø¿×µÄµ¼¹ìÓ뻬¿éÖ®¼äÐγÉÆøµæ£¬Ê¹»¬¿éÐü¸¡ÔÚµ¼¹ìÉÏ£¬»¬¿éÔÚµ¼¹ìÉϵÄÔ˶¯¿ÉÊÓΪûÓÐĦ²Á£®ÎÒÃÇ¿ÉÒÔÓôøÊúÖ±µ²°åCºÍDµÄÆøµæµ¼¹ìºÍ»¬¿éAºÍBÑéÖ¤¶¯Á¿Êغ㶨ÂÉ£¬ÊµÑé×°ÖÃÈçͼËùʾ£¬²ÉÓõÄʵÑé²½ÖèÈçÏ£º
a£®ËÉ¿ªÊÖµÄͬʱ£¬¼Ç¼»¬¿éA¡¢BÔ˶¯Ê±¼äµÄ¼ÆʱÆ÷¿ªÊ¼¹¤×÷£¬µ±A¡¢B»¬¿é·Ö±ðÅöײC¡¢Dµ²°åʱ¼ÆʱÆ÷½áÊø¼Æʱ£¬¼ÇÏÂA¡¢B·Ö±ðµ½´ïC¡¢DµÄÔ˶¯Ê±¼ät1ºÍt2£®
b£®ÔÚA¡¢B¼äˮƽ·ÅÈëÒ»¸öÇᵯ»É£¬ÓÃÊÖѹסA¡¢Bʹµ¯»ÉѹËõ£¬·ÅÖÃÔÚÆøµæµ¼¹ìÉÏ£¬²¢ÈÃËü¾²Ö¹ÔÚij¸öλÖã®
c£®¸øµ¼¹ìËÍÆø£¬µ÷ÕûÆøµæµ¼¹ì£¬Ê¹µ¼¹ì´¦ÓÚˮƽ£®
d£®Óÿ̶ȳ߲â³öAµÄ×ó¶ËÖÁC°åµÄ¾àÀëL1£»BµÄÓÒ¶ËÖÁD°åµÄ¾àÀëL2
£¨1£©ÊµÑé²½ÖèµÄ˳ÐòÊÇ
 

£¨2£©ÊµÑéÖл¹ÐèÒªµÄ²âÁ¿ÒÇÆ÷ÊÇ
 

»¹ÐèÒª²âÁ¿µÄÎïÀíÁ¿ÊÇ
 

£¨3£©ÀûÓÃÉÏÊö²âÁ¿µÄʵÑéÊý¾Ý£¬ÑéÖ¤¶¯Á¿Êغ㶨Âɵıí´ïʽÊÇ
 

£¨4£©ÊµÑéÖе¯»ÉÓëA¡¢B»¬¿éÊÇÕ³Á¬ºÃ»¹ÊDz»Õ³Á¬ºÃ£¿
 

ÀíÓÉÊÇ
 
£®
·ÖÎö£º¸ù¾ÝʵÑéµÄÔ­ÀíÈ·¶¨²âÁ¿µÄÎïÀíÁ¿£¬ÒÔ¼°²âÁ¿µÄ²½Ö裬¸ù¾ÝÔ­ÀíÁгö¶¯Á¿Êغ㶨Âɵıí´ïʽ£®
½â´ð£º½â£º£¨1£©ÊµÑé²Ù×÷µÄ˳ÐòÊÇc¡¢b¡¢d¡¢a£»
£¨2¡¢3£©»¬¿éÔÚÆøµæµ¼¹ìÉÏ×öÔÈËÙÖ±ÏßÔ˶¯£¬¸ù¾ÝA¡¢BÔËÐеľàÀëºÍʱ¼ä¿ÉÒÔÇó³ö·Ö¿ªÊ±µÄËٶȣ¬¸ù¾Ý¶¯Á¿Êغ㶨Âɵã¬mAvA=mBvB£¬ÓÖvA=
L1
t1
£¬vB=
L2
t2
£¬ÔòmA
L1
t 1
=mB
L2
t2
£®Öª»¹ÐèÒª²âÁ¿A¡¢BµÄÖÊÁ¿mA¡¢mB£¬ËùÐèµÄÆ÷²ÄÊÇÌìƽ£®
£¨4£©Ö»ÓëA¡¢BÖеÄijһ¸öÕ³Á¬ºÃ£¬ÕâÑù°Ñµ¯»ÉµÄÖÊÁ¿¿¼ÂǽøÈ¥£¬»á¼õСϵͳÎó²î£®²»Õ³Á¬ºÃ£¬·ñÔòA¡¢B¿ÉÄÜÅö²»µ½C¡¢D£¬Ê¹¼ÆʱÎó²î´ó£®£¨´ð°¸¾ßÓпª·ÅÐÔ£©£®
¹Ê´ð°¸Îª£»£¨1£©c¡¢b¡¢d¡¢a£»     £¨2£©Ììƽ£¬»¬¿éA¡¢BµÄÖÊÁ¿mA¡¢mB£»
£¨3£©mA
L1
t 1
=mB
L2
t2

£¨4£©£¨´ð°¸ÊÇ¿ª·ÅµÄ£¬²Î¿¼´ð°¸ÓУºÖ»ÓëA¡¢BÖеÄijһ¸öÕ³Á¬ºÃ£¬ÕâÑù°Ñµ¯»ÉµÄÖÊÁ¿¿¼ÂǽøÈ¥£¬»á¼õСϵͳÎó²î£®²»Õ³Á¬ºÃ£¬·ñÔòA¡¢B¿ÉÄÜÅö²»µ½C¡¢D£¬Ê¹¼ÆʱÎó²î´ó£®µÈµÈ£©
µãÆÀ£º½â¾ö±¾ÌâµÄ¹Ø¼üÖªµÀÑéÖ¤¶¯Á¿Êغ㶨ÂɵÄʵÑéÔ­Àí£¬ÖªµÀA¡¢B×é³ÉµÄϵͳ¶¯Á¿Êغ㣮
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
£¨2011?ÐËÄþÇøÄ£Ä⣩Æøµæµ¼¹ìÊdz£ÓõÄÒ»ÖÖʵÑéÒÇÆ÷£®ËüÊÇÀûÓÃÆø±Ãʹ´ø¿×µÄµ¼¹ìÓ뻬¿éÖ®¼äÐγÉÆøµæ£¬Ê¹»¬¿éÐü¸¡ÔÚµ¼¹ìÉÏ£¬»¬¿éÔÚµ¼¹ìÉϵÄÔ˶¯¿ÉÊÓΪûÓÐĦ²Á£®ÎÒÃÇ¿ÉÒÔÓôøÊúÖ±µ²°åCºÍDµÄÆøµæµ¼¹ìÒÔ¼°»¬¿éAºÍBÀ´ÑéÖ¤¶¯Á¿Êغ㶨ÂÉ£¬ÊµÑé×°ÖÃÈçͼËùʾ£¨µ¯»ÉµÄ³¤¶ÈºöÂÔ²»¼Æ£©£¬²ÉÓõÄʵÑé²½ÖèÈçÏ£º
a£®ÓÃÌìƽ·Ö±ð²â³ö»¬¿éA¡¢BµÄÖÊÁ¿mA¡¢mB£®
b£®µ÷ÕûÆøµæµ¼¹ì£¬Ê¹µ¼¹ì´¦ÓÚˮƽ£®
c£®ÔÚAºÍB¼ä·ÅÈëÒ»¸ö±»Ñ¹ËõµÄÇᵯ»É£¬Óõ綯¿¨ÏúËø¶¨£¬¾²Ö¹·ÅÖÃÔÚÆøµæµ¼¹ìÉÏ£®
d£®Óÿ̶ȳ߲â³öAµÄ×ó¶ËÖÁC°åµÄ¾àÀëL1£®
e£®°´ÏµçÅ¥·Å¿ª¿¨Ïú£¬Í¬Ê±Ê¹¼Ç¼»¬¿éA¡¢BÔ˶¯Ê±¼äµÄ¼ÆʱÆ÷¿ªÊ¼¹¤×÷£®µ±A¡¢B»¬¿é·Ö±ðÅöײC¡¢Dµ²°åʱֹͣ¼Æʱ£¬¼ÇÏÂA¡¢B·Ö±ðµ½´ïC¡¢DµÄÔ˶¯Ê±¼ät1ºÍt2£®
£¨1£©ÊµÑéÖл¹Ó¦²âÁ¿µÄÎïÀíÁ¿ÊÇ
BµÄÓÒ¶ËÖÁD°åµÄ¾àÀëL2
BµÄÓÒ¶ËÖÁD°åµÄ¾àÀëL2
£®
£¨2£©ÀûÓÃÉÏÊö²âÁ¿µÄʵÑéÊý¾Ý£¬ÑéÖ¤¶¯Á¿Êغ㶨Âɵıí´ïʽÊÇ
mA
L1
t1
-mB
L2
t2
=0
mA
L1
t1
-mB
L2
t2
=0
£®
£¨3£©ÀûÓÃÉÏÊöʵÑéÊý¾ÝÄÜ·ñ²â³ö±»Ñ¹Ëõµ¯»ÉµÄµ¯ÐÔÊÆÄܵĴóС£¿
ÄÜ
ÄÜ
£®ÈçÄÜ£¬Çëд³ö±í´ïʽ
EP=
1
2
mA
L12
t12
+
1
2
mB
L22
t22
EP=
1
2
mA
L12
t12
+
1
2
mB
L22
t22
£®
Æøµæµ¼¹ìÊdz£ÓõÄÒ»ÖÖʵÑéÒÇÆ÷£¬ËüÊÇÀûÓÃÆø±Ãʹ´ø¿×µÄµ¼¹ìÓ뻬¿éÖ®¼äÐγÉÆøµæ£¬Ê¹»¬¿éÐü¸¡ÔÚµ¼¹ìÉÏ£¬»¬¿éÔÚµ¼¹ìÉϵÄÔ˶¯¿ÉÊÓΪûÓÐĦ²Á£®ÎÒÃÇ¿ÉÒÔÓôøÊúÖ±µ²°åCºÍDµÄÆøµæµ¼¹ìÒÔ¼°»¬¿éAºÍBÀ´Ì½¾¿ÅöײÖеIJ»±äÁ¿£¬ÊµÑé×°ÖÃÈçͼËùʾ£¨µ¯»ÉµÄ³¤¶ÈºöÂÔ²»¼Æ£©£¬²ÉÓõÄʵÑé²½ÖèÈçÏ£º
a£®ÓÃÌìƽ·Ö±ð²â³ö»¬¿éA¡¢BµÄÖÊÁ¿mA¡¢mB£®
b£®µ÷ÕûÆøµæµ¼¹ì£¬Ê¹µ¼¹ì´¦ÓÚˮƽ£®
c£®ÔÚAºÍB¼ä·ÅÈëÒ»¸ö±»Ñ¹ËõµÄÇᵯ»É£¬Óõ綯¿¨ÏúËø¶¨£¬¾²Ö¹µØ·ÅÖÃÔÚÆøµæµ¼¹ìÉÏ£®
d£®Óÿ̶ȳ߲â³öAµÄ×ó¶ËÖÁC°åµÄ¾àÀëL1£®
e£®°´ÏµçÅ¥·Å¿ª¿¨Ïú£¬Í¬Ê±Ê¹·Ö±ð¼Ç¼»¬¿éA¡¢BÔ˶¯Ê±¼äµÄ¼ÆʱÆ÷¿ªÊ¼¹¤×÷£®µ±A¡¢B»¬¿é·Ö±ðÅöײC¡¢Dµ²°åʱֹͣ¼Æʱ£¬¼ÇÏÂA¡¢B·Ö±ðµ½´ïC¡¢DµÄÔ˶¯Ê±¼ät1ºÍt2£®
£¨1£©ÊµÑéÖл¹Ó¦²âÁ¿µÄÎïÀíÁ¿ÊÇ
BµÄÓÒ¶ËÖÁD°åµÄ¾àÀëL2
BµÄÓÒ¶ËÖÁD°åµÄ¾àÀëL2
£®
£¨2£©ÀûÓÃÉÏÊö²âÁ¿µÄʵÑéÊý¾Ý£¬µÃ³ö¹Øϵʽ
mA
L1
t1
-mB
L2
t2
=0
mA
L1
t1
-mB
L2
t2
=0
³ÉÁ¢£¬¼´¿ÉµÃ³öÅöײÖÐÊغãµÄÁ¿ÊÇmvµÄʸÁ¿ºÍ£¬ÉÏʽÖÐËãµÃµÄA¡¢BÁ½»¬¿éµÄ¶¯Á¿´óС²¢²»ÍêÈ«ÏàµÈ£¬²úÉúÎó²îµÄÔ­ÒòÊÇ
²âÁ¿mA¡¢mB¡¢L1¡¢L2¡¢t1¡¢t2ʱ´øÀ´µÄÎó²î£»Æøµæµ¼¹ì²»Ë®Æ½£»»¬¿éÓëÆøµæµ¼¹ì¼äÓÐĦ²Á
²âÁ¿mA¡¢mB¡¢L1¡¢L2¡¢t1¡¢t2ʱ´øÀ´µÄÎó²î£»Æøµæµ¼¹ì²»Ë®Æ½£»»¬¿éÓëÆøµæµ¼¹ì¼äÓÐĦ²Á
£®
Ïñ´òµã¼ÆʱÆ÷Ò»Ñù£¬¹âµç¼ÆʱÆ÷Ò²ÊÇÒ»ÖÖÑо¿ÎïÌåÔ˶¯Çé¿öµÄ³£ÓüÆʱÒÇÆ÷£¬Æä½á¹¹Èçͼ1Ëùʾ£¬a¡¢b·Ö±ðÊǹâµçÃŵļ¤¹â·¢ÉäºÍ½ÓÊÕ×°Ö㬵±ÓÐÎïÌå´Óa¡¢b¼äͨ¹ýʱ£¬¹âµç¼ÆʱÆ÷¾Í¿ÉÒÔÏÔʾÎïÌåµÄµ²¹âʱ¼ä£®Æøµæµ¼¹ìÊdz£ÓõÄÒ»ÖÖʵÑéÒÇÆ÷£®ËüÊÇÀûÓÃÆø±Ãʹ´ø¿×µÄµ¼¹ìÓ뻬¿éÖ®¼äÐγÉÆøµæ£¬Ê¹»¬¿éÐü¸¡ÔÚµ¼¹ìÉÏ£¬»¬¿éÔÚµ¼¹ìÉϵÄÔ˶¯¿ÉÊÓΪûÓÐĦ²Á£®
ÎÒÃÇ¿ÉÒÔÓôø¹âµçÃÅE¡¢FµÄÆøµæµ¼¹ìÒÔ¼°ÐÎ×´Ïàͬ¡¢ÖÊÁ¿²»µÈµÄ»¬¿éAºÍBÀ´ÑéÖ¤¶¯Á¿Êغ㶨ÂÉ£¬ÊµÑé×°ÖÃÈçͼ2Ëùʾ£¬²ÉÓõÄʵÑé²½ÖèÈçÏ£º
a£®ÓÃÓα꿨³ß²âÁ¿Ð¡»¬¿éµÄ¿í¶Èd£¬¿¨³ßʾÊýÈçͼ3Ëùʾ£®¶Á³ö»¬¿éµÄ¿í¶Èd=
1.015
1.015
cm£®
b£®µ÷ÕûÆøµæµ¼¹ì£¬Ê¹µ¼¹ì´¦ÓÚˮƽ£®
c£®ÔÚAºÍB¼ä·ÅÈëÒ»¸ö±»Ñ¹ËõµÄÇᵯ»É£¬Óõ綯¿¨ÏúËø¶¨£¬¾²Ö¹·ÅÖÃÔÚÆøµæµ¼¹ìÉÏ£®
d£®°´ÏµçÅ¥·Å¿ª¿¨Ïú£¬¹âµçÃÅE¡¢F¸÷×ÔÁ¬½ÓµÄ¼ÆʱÆ÷ÏÔʾµÄµ²¹âʱ¼ä·Ö±ðΪ5.0¡Á10-3sºÍ3.4¡Á10-3s£®»¬¿éͨ¹ý¹âµçÃÅEµÄËÙ¶Èv1=
2.0
2.0
 m/s£¬»¬¿éͨ¹ý¹âµçÃÅFµÄËٶȣ»v2=
3.0
3.0
 m/s£¨½á¹û±£ÁôÁ½Î»ÓÐЧÊý×Ö£©
e£®¹Ø±ÕµçÔ´£¬Í£Ö¹ÊµÑ飮
£¨1£©Íê³ÉÒÔÉϲ½ÖèÖеÄÌî¿Õ£»
£¨2£©ÒÔÉϲ½ÖèÖÐȱÉٵıØÒª²½ÖèÊÇ
ÓÃÌìƽ·Ö±ð²â³ö»¬¿éA¡¢BµÄÖÊÁ¿mA¡¢mB£®
ÓÃÌìƽ·Ö±ð²â³ö»¬¿éA¡¢BµÄÖÊÁ¿mA¡¢mB£®

£¨3£©ÀûÓÃÉÏÊö²âÁ¿µÄÎïÀíÁ¿£¬Ð´³öÑéÖ¤¶¯Á¿Êغ㶨Âɵıí´ïʽÊÇ
ÔòÓÐmAv1+mB£¨-v2£©=0£®
ÔòÓÐmAv1+mB£¨-v2£©=0£®
£®
£¨2010?Ìì½òÄ£Ä⣩£¨1£©Ä³Í¬Ñ§×ö¡°Ë«·ì¸ÉÉæ²â¹âµÄ²¨³¤¡±ÊµÑéʱ£¬ÏàÁÚÁ½ÌõÁÁÎƼäµÄ¾àÀëÓôøÓÐÂÝÐý²â΢Æ÷µÄ²âÁ¿Í·²â³ö£¬ÈçͼËùʾ£®²âÁ¿Í·µÄ·Ö»®°åÖÐÐÄ¿ÌÏßÓëijÁÁÎÆÖÐÐĶÔÆëʱÂÝÐý²â΢Æ÷µÄʾÊýΪ
4.946
4.946
mm£®
£¨2£©Æøµæµ¼¹ìÊdz£ÓõÄÒ»ÖÖʵÑéÒÇÆ÷£®ËüÊÇÀûÓÃÆø±Ãʹ´ø¿×µÄµ¼¹ìÓ뻬¿éÖ®¼äÐγÉÆøµæ£¬Ê¹»¬¿éÐü¸¡ÔÚµ¼¹ìÉÏ£¬»¬¿éÔÚµ¼¹ìÉϵÄÔ˶¯¿ÉÊÓΪûÓÐĦ²Á£®ÎÒÃÇ¿ÉÒÔÓôøÊúÖ±µ²°åCºÍDµÄÆøµæµ¼¹ìÒÔ¼°»¬¿éAºÍBÀ´ÑéÖ¤¶¯Á¿Êغ㶨ÂÉ£¬ÊµÑé×°ÖÃÈçͼËùʾ£¨µ¯»ÉµÄ³¤¶ÈºöÂÔ²»¼Æ£©£¬²ÉÓõÄʵÑé²½ÖèÈçÏ£º
a£®ÓÃÌìƽ·Ö±ð²â³ö»¬¿éA¡¢BµÄÖÊÁ¿mA¡¢mB
b£®µ÷ÕûÆøµæµ¼¹ì£¬Ê¹µ¼¹ì´¦ÓÚˮƽ
C£®ÔÚAºÍB¼ä·ÅÈëÒ»¸ö±»Ñ¹ËõµÄÇᵯ»É£¬Óõ綯¿¨ÏúËø¶¨£¬¾²Ö¹·ÅÖÃÔÚÆøµæµ¼¹ìÉÏ
d£®Óÿ̶ȳ߲â³öAµÄ×ó¶ËÖÁC°åµÄ¾àÀëL1£¬
e£®°´ÏµçÅ¥·Å¿ª¿¨Ïú£¬Í¬Ê±Ê¹·Ö±ð¼Ç¼»¬¿éA¡¢BÔ˶¯Ê±¼äµÄ¼ÆʱÆ÷¿ªÊ¼¹¤×÷£®µ±A¡¢B»¬¿é·Ö±ðÅöײC¡¢Dµ²°åʱֹͣ¼Æʱ£¬¼ÇÏÂA¡¢B·Ö±ðµ½´ïC¡¢DµÄÔ˶¯Ê±¼ät1ºÍt2
¢ÙʵÑéÖл¹Ó¦²âÁ¿µÄÎïÀíÁ¿ÊÇ
BµÄÓÒ¶ËÖÁD°åµÄ¾àÀëL2
BµÄÓÒ¶ËÖÁD°åµÄ¾àÀëL2
£®
¢ÚÀûÓÃÉÏÊö²âÁ¿µÄʵÑéÊý¾Ý£¬ÑéÖ¤¶¯Á¿Êغ㶨Âɵıí´ïʽÊÇ
mA
L1
t1
-mB
L2
t2
=0
mA
L1
t1
-mB
L2
t2
=0
£®
¢ÛÀûÓÃÉÏÊöʵÑéÊý¾Ý»¹¿ÉÒÔÇó³ö±»Ñ¹Ëõµ¯»ÉµÄµ¯ÐÔÊÆÄܵĴóС£¬Çëд³öµ¯ÐÔÊÆÄܱí´ïʽΪ
EP=
1
2
mA£¨
L1
t1
£©2+
1
2
mB£¨
L2
t2
£©2£¬
EP=
1
2
mA£¨
L1
t1
£©2+
1
2
mB£¨
L2
t2
£©2£¬

£¨3£©ÊµÑé×ÀÉÏÓÐÏÂÁÐʵÑéÒÇÆ÷£º
A£®´ý²âµçÔ´£¨µç¶¯ÊÆÔ¼3V£¬ÄÚ×èÔ¼7¦¸£©£º
B£®Ö±Á÷µçÁ÷±í£¨Á¿³Ì0¡«0.6¡«3A£¬0.6AµµµÄÄÚ×èÔ¼0.5¦¸£¬3AµµµÄÄÚ×èÔ¼0.1¦¸£º£©
C£®Ö±Á÷µçѹ±í£¨Á¿³Ì0¡«3¡«15V£¬3VµµÄÚ×èÔ¼5k¦¸£¬15VµµÄÚ×èÔ¼25k¦¸£©£º
D£®»¬¶¯±ä×èÆ÷£¨×èÖµ·¶Î§Îª0¡«15¦¸£¬ÔÊÐí×î´óµçÁ÷Ϊ1A£©£º
E£®»¬¶¯±ä×èÆ÷£¨×èÖµ·¶Î§Îª0¡«1000¦¸£¬ÔÊÐí×î´óµçÁ÷Ϊ0.2A£©£º
F£®¿ª¹Ø¡¢µ¼ÏßÈô¸É£º
Çë½â´ðÏÂÁÐÎÊÌ⣺
¢ÙÀûÓøø³öµÄÆ÷²Ä²âÁ¿µçÔ´µÄµç¶¯ÊƺÍÄÚ×裬ҪÇó²âÁ¿Óо¡¿ÉÄܸߵľ«¶ÈÇÒ±ãÓÚµ÷½Ú£¬Ó¦Ñ¡ÔñµÄ»¬¶¯±ä×èÆ÷ÊÇ
D
D
£¨Ìî´úºÅ£©£¬Ó¦Ñ¡ÔñµÄµçÁ÷±íÁ¿³ÌÊÇ
0¡«0.6A
0¡«0.6A
£¨ÌîÁ¿³Ì£©£¬Ó¦Ñ¡ÔñµÄµçѹ±íÁ¿³ÌÊÇ
0¡«3V
0¡«3V
£¨ÌîÁ¿³Ì£©£®
¢Ú¸ù¾Ýijͬѧ²âµÃµÄÊý¾ÝµÃÖªµç¶¯ÊÆE=3V£¬ÄÚ×èr=6¦¸£¬Ä³Ð¡µÆÅݵķü°²ÌØÐÔÇúÏßÈçͼËùʾ£¬½«´ËСµÆÅÝÓëÉÏÊöµçÔ´×é³É±ÕºÏ»Ø·£¬´ËʱСµÆÅݵÄʵ¼Ê¹¦ÂÊΪ
0.375W
0.375W
W£®£¨±£Áô3λÓÐЧÊý×Ö£©

Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com

¾«Ó¢¼Ò½ÌÍø