ÌâÄ¿ÄÚÈÝ

£¨1£©ÔÚ¡°Ì½¾¿Á¦µÄƽÐÐËıßÐζ¨Ôò¡±µÄʵÑéÖУ¬ÓÃͼ¶¤°ÑÏðƤÌõµÄÒ»¶Ë¹Ì¶¨ÔÚ°åÉϵÄAµã£¬ÔÚÏðƤÌõµÄÁíÒ»¶ËË©ÉÏÁ½ÌõϸÉþ£¬Ï¸ÉþÁíÒ»¶Ëϵ×ÅÉþÌ×B¡¢C£¨ÓÃÀ´Á¬½Óµ¯»É²âÁ¦¼Æ£©£®ÆäÖÐAΪ¹Ì¶¨ÏðƤ½îµÄͼ¶¤£¬OΪÏðƤ½îÓëϸÉþµÄ½áµã£¬OBºÍOCΪϸÉþ£®
¢ÙÔÚʵÑéÖУ¬Èç¹ûÖ»½«Ï¸Éþ»»³ÉÏðƤ½î£¬ÆäËü²½ÖèûÓиı䣬ÄÇôʵÑé½á¹û
²»±ä
²»±ä
£¨Ìî¡°»á¡±»ò¡°²»»á¡±£©·¢Éú±ä»¯£®
¢Ú±¾ÊµÑé²ÉÓõĿÆѧ·½·¨ÊÇ
C
C

A£®ÀíÏëʵÑé·¨
B£®¿ØÖƱäÁ¿·¨
C£®µÈЧÌæ´ú·¨
D£®½¨Á¢ÎïÀíÄ£ÐÍ·¨
£¨2£©ÔÚ¡°ÑéÖ¤»úеÄÜÊغ㶨ÂÉ¡±µÄʵÑéÖУ¬´òµã¼ÆʱÆ÷½ÓÔÚµçѹΪU£¬ÆµÂÊΪfµÄ½»Á÷µçÔ´ÉÏ£¬´ÓʵÑéÖдò³öµÄ¼¸ÌõÖ½´øÖÐÑ¡³öÒ»ÌõÀíÏëÖ½´ø£¬ÈçͼËùʾ£¬Ñ¡È¡Ö½´øÉÏ´ò³öµÄÁ¬Ðø5¸öµãA¡¢B¡¢C¡¢D¡¢E£¬²â³öAµã¾àÆðʼµãµÄ¾àÀëΪS0£¬µãAC¼äµÄ¾àÀëΪS1£¬µãCE¼äµÄ¾àÀëΪS2£¬ÒÑÖªÖØ´¸µÄÖÊÁ¿Îªm£¬µ±µØµÄÖØÁ¦¼ÓËÙ¶ÈΪg£¬Ôò£º
¢ÙÆðʼµãOµ½´òÏÂCµãµÄ¹ý³ÌÖУ¬ÖØ´¸ÖØÁ¦ÊÆÄܵļõÉÙÁ¿Îª¡÷EP=
mg£¨s0+s1£©
mg£¨s0+s1£©
£¬ÖØ´¸¶¯ÄܵÄÔö¼ÓÁ¿Îª¡÷EK=
m(S1+S2)2f2
32
m(S1+S2)2f2
32
£»
¢Ú¸ù¾ÝÌâÖÐÌṩµÄÌõ¼þ£¬»¹¿ÉÀûÓÃÖØ´¸ÏÂÂäÇó³öµ±µØµÄÖØÁ¦¼ÓËÙ¶Èg=
(S2-S1)f2
4
(S2-S1)f2
4
£¬¾­¹ý¼ÆËã¿ÉÖª£¬²âÁ¿Öµ±Èµ±µØÖØÁ¦¼ÓËٶȵÄÕæʵֵҪС£¬ÆäÖ÷ÒªÔ­ÒòÊÇ£º
ÓÉÓÚÖ½´øÓëÏÞλ¿×Ö®¼äĦ²ÁÁ¦×÷Óá¢ÖØÎïÊܵ½¿ÕÆø×èÁ¦µÈÓ°Ïì
ÓÉÓÚÖ½´øÓëÏÞλ¿×Ö®¼äĦ²ÁÁ¦×÷Óá¢ÖØÎïÊܵ½¿ÕÆø×èÁ¦µÈÓ°Ïì
£®
·ÖÎö£º£¨1£©¢ÙÈç¹ûÖ»½«Ï¸Éþ»»³ÉÏðƤ½î£¬ÆäËü²½ÖèûÓиı䣬ÄÇô»»ÉϵÄÏðƤ½îÆðµ½µÄЧ¹ûÓëÔ­À´Ï¸ÉþµÄЧ¹ûÏàͬ£»¢Ú±¾ÊµÑé²ÉÓá°µÈЧ·¨¡±£¬¼´ÒªÇóÁ½´ÎÀ­ÏðƤ½îµÄЧ¹ûÏàͬ£¬¶ÔÓÚÁ½µ¯»ÉÀ­Á¦´óСÒÔ¼°¼Ð½Ç´óСûÓоßÌåÒªÇó£¬Ö»Òª±ãÓÚ×÷ͼÒÔ¼°¼õСÎó²î¼´¿É£®
£¨2£©¢Ù¸ù¾ÝÖØÁ¦ÊÆÄܱ仯Á¿¡÷EP=mgh£¬È·¶¨¸ß¶ÈhÇó½â£®ÓÉÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¿ÉÒÔÇó³öCµãËٶȣ¬ÔÙÇó¶¯ÄܵÄÔö¼ÓÁ¿Îª¡÷Ek£»¢ÚÓÉ¡÷x=aT2Çó½â¼ÓËٶȣ®ÊµÑéÖдæÔÚ¸÷ÖÖ×èÁ¦£¬Ê¹ÊµÑé²úÉúÎó²î£®
½â´ð£º½â£º£¨1£©¢ÙϸÉþµÄ×÷Óãº×öʵÑéµÄ¹ý³ÌÖÐÓÃǦ±ÊÔÚϸÉþµÄÕýÏ·½ÃèÉÏÁ½µã£¬ÔÚ×÷ͼ¹ý³ÌÖн«Á½µãÁ¬³ÉÖ±Ïß¼´±íʾÁ¦µÄ·½Ïò£¬Èç¹ûÖ»½«Ï¸Éþ»»³ÉÏðƤ½î£¬ÆäËü²½ÖèûÓиı䣬ÄÇô»»ÉϵÄÏðƤ½îÆðµ½µÄЧ¹ûÓëÔ­À´Ï¸ÉþµÄЧ¹ûÏàͬ£¬ËùÒÔʵÑé½á¹û²»»á·¢Éú±ä»¯£®
¢Ú±¾ÊµÑé²ÉÓá°µÈЧ·¨¡±£¬¼´ÒªÇóÁ½´ÎÀ­ÏðƤ½îµÄЧ¹ûÏàͬ£¬¹ÊÑ¡C£®
¹Ê´ð°¸Îª£º¢Ù²»»á£¬¢ÚC£®   
£¨2£©¢ÙÖØ´¸ÖØÁ¦ÊÆÄܵļõÉÙÁ¿Îª¡÷EP=mg£¨s0+s1£©£®
´òCµãÖØ´¸µÄËÙ¶ÈvC=
S1+S2
2T
£¬T=
2
f

ÖØ´¸¶¯ÄܵÄÔö¼ÓÁ¿Îª¡÷Ek=
m(S1+S2)2f2
32

¢ÚÓÉÖð²î·¨¡÷x=aT2µÃ£º
 g=
(S2-S1)f2
4

ÓÉÓÚÖ½´øÓëÏÞλ¿×Ö®¼äĦ²ÁÁ¦×÷Óá¢ÖØÎïÊܵ½¿ÕÆø×èÁ¦µÈÓ°Ï죮
¹Ê´ð°¸Îª£º¢Ùmg£¨s0+s1£©£¬
m(S1+S2)2f2
32
£¬¢Ú
(S2-S1)f2
4
£¬ÓÉÓÚÖ½´øÓëÏÞλ¿×Ö®¼äĦ²ÁÁ¦×÷Óá¢ÖØÎïÊܵ½¿ÕÆø×èÁ¦µÈÓ°Ï죮
µãÆÀ£º£¨1£©ÌâÖ÷Òª¿¼²é¶ÔÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨ÔòµÄÔ­ÀíÀí½â£¬ËùÒÔʵÑéÖÐÒ»¶¨ÒªÍ¨¹ýʵÑéµÄÔ­ÀíÈ¥ÕÆÎÕʵÑ飬ÍÑÀ뿪ԭÀíÊÇÎÞ·¨ÕýÈ·½â¾öʵÑéÎÊÌâµÄ£»
£¨2£©½â¾ö±¾ÌâµÄ¹Ø¼üÕÆÎÕ ¸÷¸öʵÑéµÄʵÑéÔ­Àí£¬ÒÔ¼°ÕÆÎÕÖ½´øµÄ´¦Àí·½·¨£¬»á¸ù¾ÝÖ½´øÇó½â˲ʱËٶȺÍÒÔ¼°¶¯ÄÜÊÆÄܵĸñäÁ¿£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
IijͬѧÔÚÑо¿Æ½Å×Ô˶¯µÄʵÑéÖУ¬ÔÚС·½¸ñÖ½ÉÏ»­³öСÇò×öƽÅ×Ô˶¯µÄ¹ì¼£ºó£¬ÓÖÔڹ켣ÉÏÈ¡³öa¡¢b¡¢c¡¢dËĸöµã£¨¹ì¼£ÒѲÁÈ¥£©£¬ÒÑ֪С·½¸ñÖ½µÄ±ß³¤L=2.5cm£¬gÈ¡10m/s2£¬ÇëÄã¸ù¾ÝС·½¸ñÖ½ÉϵÄÐÅÏ¢£¬Í¨¹ý·ÖÎö¼ÆËãÍê³ÉÏÂÃ漸¸öÎÊÌ⣺
£¨1£©Ð¡Çò´Óa¡úb£¬b¡úc£¬c¡údËù¾­ÀúµÄʱ¼äÊÇ
 
s£»
£¨2£©Ð¡ÇòƽÅ×Ô˶¯µÄ³õËÙ¶Èv0=
 
m/s£®
II£¨6·Ö£©Ò»Í¬Ñ§ÓÃÈçͼ2ËùʾµÄ×°ÖÃ×ö¡°Ì½¾¿¼ÓËÙ¶ÈÓëÁ¦µÄ¹Øϵ¡±µÄʵÑ飺С³µ¸éÖÃÔÚˮƽ·ÅÖõij¤Ä¾°åÉÏ£¬Ö½´øÁ¬½Ó³µÎ²²¢´©¹ý´òµã¼ÆʱÆ÷£¬ÓÃÀ´²â¶¨Ð¡³µµÄ¼ÓËÙ¶Èa£¬Ð¡Í°Í¨¹ýϸÏ߶ÔС³µÊ©À­Á¦F£®ÔÚ±£³ÖС³µÖÊÁ¿²»±äµÄÇé¿öÏ£¬¸Ä±ä¶ÔС³µÀ­Á¦FµÄ´óС£¬²âµÃС³µËùÊÜÀ­Á¦FºÍ¼ÓËÙ¶ÈaµÄÊý¾ÝÈçÏÂ±í£º
 F/N  0.21  0.30  0.40  0.49  0.60
 a£¨ms-2£©  0.10  0.21  0.29  0.41  0.49
£¨1£©¸ù¾Ý²âµÃµÄÊý¾Ý£¬ÔÚͼÖÐ×÷³öa-FͼÏó£®
¾«Ó¢¼Ò½ÌÍø
£¨2£©ÓÉͼÏó¿ÉÖª£¬Ð¡³µÓ볤ľ°åÖ®¼äµÄ×î´ó¾²Ä¦²ÁÁ¦´óСΪ
 
N£®
£¨3£©ÈôҪʹ×÷³öµÄa-FͼÏß¹ý×ø±êÔ­µã£¬ÐèÒªµ÷ÕûʵÑé×°Ö㬿ɲÉÈ¡ÒÔÏ´ëÊ©ÖеÄ
 

A£®Ôö¼ÓС³µµÄÖÊÁ¿
B£®¼õСС³µµÄÖÊÁ¿
C£®Êʵ±µæ¸ß³¤Ä¾°åµÄÓÒ¶Ë
D£®Êʵ±Ôö¼ÓСͰÄÚíÀÂëÖÊÁ¿£®

I .×ö¡°Á·Ï°Ê¹Óôòµã¼ÆʱÆ÷¡±µÄʵÑéʱ£¬½»Á÷µçµÄÖÜÆÚΪT¡£ÉÏͼÊÇij´ÎʵÑéµÄÖ½´ø£¬ÉáȥǰÃæ±È½ÏÃܼ¯µÄµã£¬´Ó0µã¿ªÊ¼£¬ÒÀ´ÎµÄ¼ÆÊýµã±êÒÔ1¡¢2¡¢3¡­¡£1¡¢2¼ÆÊýµãÓë0¼ÆÊýµãÖ®¼äµÄ¾àÀëÒÀ´ÎΪx1¡¢x2 £¬ÔòÎïÌåͨ¹ý1¼ÆÊýµãµÄËÙ¶Èv1£½_________£¬Ô˶¯µÄ¼ÓËÙ¶ÈΪ________ 2¡¢3Á½¼ÆÊýµãÖ®¼äµÄ¾àÀëΪ_________.£¨ÓÃT¡¢x1¡¢x2 ±íʾ£©

II£®¹ØÓÚÁ¦Ñ§ÖеÄÓйØʵÑ飬ÒÔÏÂ˵·¨£¬ÕýÈ·µÄÊÇ£¨   £©
A.ÔÚÑо¿ÔȱäËÙÖ±ÏßÔ˶¯µÄʵÑéÖУ¬Ð¡³µÓ¦´ÓÔ¶Àë´òµã¼ÆʱÆ÷ÊÍ·Å£»
B.ÔÚÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨ÔòµÄʵÑéÖУ¬²»ÐèҪʹÁ½¸öϸÉþ¼äµÄ¼Ð½Ç¾¡Á¿´ó£»
C.ÔÚÑо¿Æ½Å×Ô˶¯µÄ¹æÂÉʵÑéÖУ¬Ð±²Û¹ìµÀ±ØÐëÊǹ⻬µÄ£»
D.ÔÚÑé֤ţ¶ÙµÚ¶þ¶¨ÂɵÄʵÑéÖУ¬Òª±£Ö¤¹³ÂëµÄÖÊÁ¿ÒªÔ¶´óÓÚС³µµÄÖÊÁ¿
III. ÈçͼËùʾ£¬Ä³Ñ§Ï°Ð¡×éÔÚ×ö̽¾¿ºÏÁ¦µÄ¹¦ºÍÎïÌåËٶȱ仯¹ØϵµÄʵÑ飬

£¨1£©Í¼ÖеÄʵÑéÆ÷²Ä£¬Æ÷²Ä¢ÙÃû³ÆÊÇ£º_________;Æ÷²Ä¢ÚµÄÃû³ÆÊÇ£º____  
¢Æ£®ÒÔϹØÓÚ¸ÃʵÑéµÄ˵·¨ÖУ¬ÕýÈ·µÄ£¨ £©£¨ ´ð°¸²»Ö¹Ò»¸ö £©
A£®±ØÐëÑ¡ÓÃͬÑùµÄÏðƤ½î£¬²¢ÔÚÿ´ÎʵÑéÖÐʹÏðƤ½îÀ­ÉìµÄ³¤¶È±£³ÖÒ»ÖÂ
B£®Ð¡³µÔÚÔ˶¯ÖлáÊܵ½×èÁ¦£¬¿ÉÒÔʹľ°åÊʵ±Çãб£¬ÒÔƽºâ×èÁ¦
C£®ÏȽÓͨµçÔ´£¬ÔÙÈÃС³µÔÚÏðƤ½îµÄ×÷ÓÃϵ¯³ö
D£®Ã¿´ÎʵÑé±ØÐëÉè·¨Ëã³öÏðƤ½î¶ÔС³µ×ö¹¦µÄ¾ßÌåÊýÖµ
E. Èç¹ûÍü¼ÇƽºâĦ²ÁÁ¦£¬Ö½´øÉϵĵãÊÇÁ½Í·Ê裬ÖмäÃÜ
F. ÀûÓÃÖ½´øÉϵĵÚÒ»¸öµãµ½×îºóÒ»¸öµãµÄƽ¾ùËٶȱíʾС³µ»ñµÃµÄËÙ¶È
G.´¦ÀíÊý¾Ýʱ£¬Ó¦¸Ã×÷³ö¹¦ÓëËٶȵÄͼÏñ£¬¹Û²ìËüÊÇ·ñΪһÌõÅ×ÎïÏßÈý ·ÖÎöÓë¼ÆË㣨9x4=36·Ö£¬±ØÐëд³ö½âÌâ¹ý³Ì£¬Ö»Ð´×îºó½á¹û²»µÃ·Ö£©

I .×ö¡°Á·Ï°Ê¹Óôòµã¼ÆʱÆ÷¡±µÄʵÑéʱ£¬½»Á÷µçµÄÖÜÆÚΪT¡£ÉÏͼÊÇij´ÎʵÑéµÄÖ½´ø£¬ÉáȥǰÃæ±È½ÏÃܼ¯µÄµã£¬´Ó0µã¿ªÊ¼£¬ÒÀ´ÎµÄ¼ÆÊýµã±êÒÔ1¡¢2¡¢3¡­¡£1¡¢2¼ÆÊýµãÓë0¼ÆÊýµãÖ®¼äµÄ¾àÀëÒÀ´ÎΪx1¡¢x2 £¬ÔòÎïÌåͨ¹ý1¼ÆÊýµãµÄËÙ¶Èv1£½_________£¬Ô˶¯µÄ¼ÓËÙ¶ÈΪ________ 2¡¢3Á½¼ÆÊýµãÖ®¼äµÄ¾àÀëΪ_________.£¨ÓÃT¡¢x1¡¢x2 ±íʾ£©

II£®¹ØÓÚÁ¦Ñ§ÖеÄÓйØʵÑ飬ÒÔÏÂ˵·¨£¬ÕýÈ·µÄÊÇ£¨   £©

A.ÔÚÑо¿ÔȱäËÙÖ±ÏßÔ˶¯µÄʵÑéÖУ¬Ð¡³µÓ¦´ÓÔ¶Àë´òµã¼ÆʱÆ÷ÊÍ·Å£»

B.ÔÚÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨ÔòµÄʵÑéÖУ¬²»ÐèҪʹÁ½¸öϸÉþ¼äµÄ¼Ð½Ç¾¡Á¿´ó£»

C.ÔÚÑо¿Æ½Å×Ô˶¯µÄ¹æÂÉʵÑéÖУ¬Ð±²Û¹ìµÀ±ØÐëÊǹ⻬µÄ£»

D.ÔÚÑé֤ţ¶ÙµÚ¶þ¶¨ÂɵÄʵÑéÖУ¬Òª±£Ö¤¹³ÂëµÄÖÊÁ¿ÒªÔ¶´óÓÚС³µµÄÖÊÁ¿

III. ÈçͼËùʾ£¬Ä³Ñ§Ï°Ð¡×éÔÚ×ö̽¾¿ºÏÁ¦µÄ¹¦ºÍÎïÌåËٶȱ仯¹ØϵµÄʵÑ飬

£¨1£©Í¼ÖеÄʵÑéÆ÷²Ä£¬Æ÷²Ä¢ÙÃû³ÆÊÇ£º_________;Æ÷²Ä¢ÚµÄÃû³ÆÊÇ£º____  

¢Æ£®ÒÔϹØÓÚ¸ÃʵÑéµÄ˵·¨ÖУ¬ÕýÈ·µÄ£¨ £©£¨ ´ð°¸²»Ö¹Ò»¸ö £©

A£®±ØÐëÑ¡ÓÃͬÑùµÄÏðƤ½î£¬²¢ÔÚÿ´ÎʵÑéÖÐʹÏðƤ½îÀ­ÉìµÄ³¤¶È±£³ÖÒ»ÖÂ

B£®Ð¡³µÔÚÔ˶¯ÖлáÊܵ½×èÁ¦£¬¿ÉÒÔʹľ°åÊʵ±Çãб£¬ÒÔƽºâ×èÁ¦

C£®ÏȽÓͨµçÔ´£¬ÔÙÈÃС³µÔÚÏðƤ½îµÄ×÷ÓÃϵ¯³ö

D£®Ã¿´ÎʵÑé±ØÐëÉè·¨Ëã³öÏðƤ½î¶ÔС³µ×ö¹¦µÄ¾ßÌåÊýÖµ

E. Èç¹ûÍü¼ÇƽºâĦ²ÁÁ¦£¬Ö½´øÉϵĵãÊÇÁ½Í·Ê裬ÖмäÃÜ

F. ÀûÓÃÖ½´øÉϵĵÚÒ»¸öµãµ½×îºóÒ»¸öµãµÄƽ¾ùËٶȱíʾС³µ»ñµÃµÄËÙ¶È

G.´¦ÀíÊý¾Ýʱ£¬Ó¦¸Ã×÷³ö¹¦ÓëËٶȵÄͼÏñ£¬¹Û²ìËüÊÇ·ñΪһÌõÅ×ÎïÏßÈý ·ÖÎöÓë¼ÆË㣨9x4=36·Ö£¬±ØÐëд³ö½âÌâ¹ý³Ì£¬Ö»Ð´×îºó½á¹û²»µÃ·Ö£©