ÌâÄ¿ÄÚÈÝ
ÔÚ¡°Ì½¾¿¼ÓËÙ¶ÈÓëÁ¦¡¢ÖÊÁ¿µÄ¹Øϵ¡±µÄʵÑéÖУ¬²ÉÓÃÏÂͼËùʾµÄ×°Öã®
£¨1£©±¾ÊµÑéÓ¦ÓõÄʵÑé·½·¨ÊÇ
A£®¿ØÖƱäÁ¿·¨ B£® ¼ÙÉè·¨ C£® ÀíÏëʵÑé·¨
£¨2£©ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ
A£®ÔÚ̽¾¿¼ÓËÙ¶ÈÓëÖÊÁ¿µÄ¹Øϵʱ£¬Ó¦¸Ä±äÀÁ¦µÄ´óС£®
B£®ÔÚ̽¾¿¼ÓËÙ¶ÈÓëÍâÁ¦µÄ¹Øϵʱ£¬Ó¦¸Ã¸Ä±äС³µµÄÖÊÁ¿£®
C£®ÔÚ̽¾¿¼ÓËÙ¶ÈaÓëÖÊÁ¿mµÄ¹Øϵʱ£¬ÎªÁËÖ±¹ÛÅж϶þÕß¼äµÄ¹Øϵ£¬Ó¦×÷³öa-
ͼÏó£®
D£®µ±Ð¡³µµÄÖÊÁ¿Ô¶´óÓÚíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖÊÁ¿Ê±£¬²ÅÄܽüËÆÈÏΪϸÏ߶ÔС³µµÄÀÁ¦´óСµÈÓÚíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖØÁ¦´óС£®
£¨3£©Ä³Í¬Ñ§²âµÃС³µµÄ¼ÓËÙ¶ÈaºÍÀÁ¦FµÄÊý¾ÝÈçϱíËùʾ£º£¨Ð¡³µÖÊÁ¿±£³Ö²»±ä£©
¢Ù¸ù¾Ý±íÖеÄÊý¾ÝÔÚ×ø±êͼÉÏ×÷³öa-FͼÏó£®
¢ÚͼÏß²»¹ýÔµãµÄÔÒò¿ÉÄÜÊÇ
£¨1£©±¾ÊµÑéÓ¦ÓõÄʵÑé·½·¨ÊÇ
A
A
A£®¿ØÖƱäÁ¿·¨ B£® ¼ÙÉè·¨ C£® ÀíÏëʵÑé·¨
£¨2£©ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ
CD
CD
£®A£®ÔÚ̽¾¿¼ÓËÙ¶ÈÓëÖÊÁ¿µÄ¹Øϵʱ£¬Ó¦¸Ä±äÀÁ¦µÄ´óС£®
B£®ÔÚ̽¾¿¼ÓËÙ¶ÈÓëÍâÁ¦µÄ¹Øϵʱ£¬Ó¦¸Ã¸Ä±äС³µµÄÖÊÁ¿£®
C£®ÔÚ̽¾¿¼ÓËÙ¶ÈaÓëÖÊÁ¿mµÄ¹Øϵʱ£¬ÎªÁËÖ±¹ÛÅж϶þÕß¼äµÄ¹Øϵ£¬Ó¦×÷³öa-
1 |
m |
D£®µ±Ð¡³µµÄÖÊÁ¿Ô¶´óÓÚíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖÊÁ¿Ê±£¬²ÅÄܽüËÆÈÏΪϸÏ߶ÔС³µµÄÀÁ¦´óСµÈÓÚíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖØÁ¦´óС£®
£¨3£©Ä³Í¬Ñ§²âµÃС³µµÄ¼ÓËÙ¶ÈaºÍÀÁ¦FµÄÊý¾ÝÈçϱíËùʾ£º£¨Ð¡³µÖÊÁ¿±£³Ö²»±ä£©
F/N | 0.20 | 0.30 | 0.40 | 0.50 | 0.60 |
a/m?s-2 | 0.10 | 0.20 | 0.28 | 0.40 | 0.52 |
¢ÚͼÏß²»¹ýÔµãµÄÔÒò¿ÉÄÜÊÇ
δƽºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»¹»
δƽºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»¹»
£®·ÖÎö£º½â¾öʵÑéÎÊÌâÊ×ÏÈÒªÕÆÎÕ¸ÃʵÑéÔÀí£¬Á˽âʵÑéµÄ²Ù×÷²½ÖèºÍÊý¾Ý´¦ÀíÒÔ¼°×¢ÒâÊÂÏ
¸ÃʵÑé²ÉÓõÄÊÇ¿ØÖƱäÁ¿·¨Ñо¿£¬ÆäÖмÓËٶȡ¢ÖÊÁ¿¡¢ºÏÁ¦ÈýÕߵIJâÁ¿ºÜÖØÒª£®
ÆäÖжÔÓÚÁ¦µÄ²âÁ¿£¬ÎÒÃÇÒªÇå³þ£º1¡¢µ±Ð¡³µµÄÖÊÁ¿Ô¶´óÓÚíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖÊÁ¿Ê±£¬²ÅÄܽüËÆÈÏΪϸÏ߶ÔС³µµÄÀÁ¦´óСµÈÓÚíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖØÁ¦´óС£®2¡¢Æ½ºâĦ²ÁÁ¦£¬Ê¹µÃϸÏ߶ÔС³µµÄÀÁ¦µÈÓÚС³µµÄºÏÁ¦£®
ͨ¹ýÃèµã·¨×÷³ö±äÁ¿Ö®¼äµÄͼÏó¹Øϵ£¬½áºÏÎïÀí¹æÂÉ·ÖÎöͼÏß²»¹ýÔµãµÄÔÒò£®
¸ÃʵÑé²ÉÓõÄÊÇ¿ØÖƱäÁ¿·¨Ñо¿£¬ÆäÖмÓËٶȡ¢ÖÊÁ¿¡¢ºÏÁ¦ÈýÕߵIJâÁ¿ºÜÖØÒª£®
ÆäÖжÔÓÚÁ¦µÄ²âÁ¿£¬ÎÒÃÇÒªÇå³þ£º1¡¢µ±Ð¡³µµÄÖÊÁ¿Ô¶´óÓÚíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖÊÁ¿Ê±£¬²ÅÄܽüËÆÈÏΪϸÏ߶ÔС³µµÄÀÁ¦´óСµÈÓÚíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖØÁ¦´óС£®2¡¢Æ½ºâĦ²ÁÁ¦£¬Ê¹µÃϸÏ߶ÔС³µµÄÀÁ¦µÈÓÚС³µµÄºÏÁ¦£®
ͨ¹ýÃèµã·¨×÷³ö±äÁ¿Ö®¼äµÄͼÏó¹Øϵ£¬½áºÏÎïÀí¹æÂÉ·ÖÎöͼÏß²»¹ýÔµãµÄÔÒò£®
½â´ð£º½â£º£¨1£©¸ÃʵÑéÊÇ̽¾¿¼ÓËÙ¶ÈÓëÁ¦¡¢ÖÊÁ¿µÄÈýÕß¹Øϵ£¬Ñо¿ÈýÕß¹Øϵ±ØÐëÔËÓÿØÖƱäÁ¿·¨£®¹ÊÑ¡A£®
£¨2£©A¡¢¸ÃʵÑé²ÉÓõÄÊÇ¿ØÖƱäÁ¿·¨Ñо¿£¬¼´±£³ÖÒ»¸öÁ¿²»±ä£¬Ñо¿ÆäËûÁ½¸öÁ¿Ö®¼äµÄ¹Øϵ£®ÔÚ̽¾¿¼ÓËÙ¶ÈÓëÖÊÁ¿µÄ¹Øϵʱ£¬Ó¦±£³ÖÀÁ¦µÄ´óС²»±ä£®¹ÊA´íÎó£®
B¡¢ÔÚ̽¾¿¼ÓËÙ¶ÈÓëÍâÁ¦µÄ¹Øϵʱ£¬Ó¦¸Ã±£³ÖС³µµÄÖÊÁ¿²»±ä£®¹ÊB´íÎó£®
C¡¢ÒªÖ±¹ÛµÄ·´Ó³Á½¸öÁ¿Ö®¼äµÄ¹Øϵ£¬¿ÉÒÔͨ¹ý×÷ͼÀ´½â¾ö£®µ«ÊÇÖ»ÓÐ×÷³öÒ»ÌõÖ±Ïߣ¬²Å¿ÉÒÔÖ±¹ÛµÄ·´Ó³Á½¸ö±äÁ¿Ö®¼äµÄ¹Øϵ£®ÔÚ̽¾¿¼ÓËÙ¶ÈaÓëÖÊÁ¿mµÄ¹Øϵʱ£¬ÎªÁËÖ±¹ÛÅж϶þÕß¼äµÄ¹Øϵ£¬Ó¦×÷³öa-
ͼÏó£®¹ÊCÕýÈ·£®
D¡¢ÉèС³µµÄÖÊÁ¿ÎªM£¬íÀÂëÅ̺ÍíÀÂëµÄÖÊÁ¿Îªm£¬¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨Âɵãº
¶Ôm£ºmg-FÀ=ma
¶ÔM£ºFÀ=Ma
½âµÃ£ºFÀ=
=
µ±m£¼£¼Mʱ£¬¼´µ±íÀÂëÅ̺ÍíÀÂëµÄ×ÜÖØÁ¦ÒªÔ¶Ð¡ÓÚС³µµÄÖØÁ¦£¬Éþ×ÓµÄÀÁ¦½üËƵÈÓÚíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖØÁ¦£®¹ÊDÕýÈ·£®
¹ÊÑ¡CD£®
£¨3£©Èçͼ£º
´ÓÉÏͼÖз¢ÏÖÖ±Ïßû¹ýԵ㣬µ±F¡Ù0ʱ£¬a=0£®Ò²¾ÍÊÇ˵µ±Éþ×ÓÉÏÓÐÀÁ¦Ê±Ð¡³µµÄ¼ÓËٶȻ¹Îª0£¬ËµÃ÷С³µµÄĦ²ÁÁ¦ÓëÉþ×ÓµÄÀÁ¦µÖÏûÄØ£®¸ÃͬѧʵÑé²Ù×÷ÖÐÒÅ©ÁËδƽºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»¹»£®
ËùÒÔÔÒòÊÇʵÑéǰδƽºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»¹»
¹Ê´ð°¸Îª£º£¨1£©A
£¨2£©CD
£¨3£©¢Ù¼ûÉÏͼ ¢ÚδƽºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»¹»
£¨2£©A¡¢¸ÃʵÑé²ÉÓõÄÊÇ¿ØÖƱäÁ¿·¨Ñо¿£¬¼´±£³ÖÒ»¸öÁ¿²»±ä£¬Ñо¿ÆäËûÁ½¸öÁ¿Ö®¼äµÄ¹Øϵ£®ÔÚ̽¾¿¼ÓËÙ¶ÈÓëÖÊÁ¿µÄ¹Øϵʱ£¬Ó¦±£³ÖÀÁ¦µÄ´óС²»±ä£®¹ÊA´íÎó£®
B¡¢ÔÚ̽¾¿¼ÓËÙ¶ÈÓëÍâÁ¦µÄ¹Øϵʱ£¬Ó¦¸Ã±£³ÖС³µµÄÖÊÁ¿²»±ä£®¹ÊB´íÎó£®
C¡¢ÒªÖ±¹ÛµÄ·´Ó³Á½¸öÁ¿Ö®¼äµÄ¹Øϵ£¬¿ÉÒÔͨ¹ý×÷ͼÀ´½â¾ö£®µ«ÊÇÖ»ÓÐ×÷³öÒ»ÌõÖ±Ïߣ¬²Å¿ÉÒÔÖ±¹ÛµÄ·´Ó³Á½¸ö±äÁ¿Ö®¼äµÄ¹Øϵ£®ÔÚ̽¾¿¼ÓËÙ¶ÈaÓëÖÊÁ¿mµÄ¹Øϵʱ£¬ÎªÁËÖ±¹ÛÅж϶þÕß¼äµÄ¹Øϵ£¬Ó¦×÷³öa-
1 |
m |
D¡¢ÉèС³µµÄÖÊÁ¿ÎªM£¬íÀÂëÅ̺ÍíÀÂëµÄÖÊÁ¿Îªm£¬¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨Âɵãº
¶Ôm£ºmg-FÀ=ma
¶ÔM£ºFÀ=Ma
½âµÃ£ºFÀ=
mMg |
m+M |
mg | ||
1+
|
µ±m£¼£¼Mʱ£¬¼´µ±íÀÂëÅ̺ÍíÀÂëµÄ×ÜÖØÁ¦ÒªÔ¶Ð¡ÓÚС³µµÄÖØÁ¦£¬Éþ×ÓµÄÀÁ¦½üËƵÈÓÚíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖØÁ¦£®¹ÊDÕýÈ·£®
¹ÊÑ¡CD£®
£¨3£©Èçͼ£º
´ÓÉÏͼÖз¢ÏÖÖ±Ïßû¹ýԵ㣬µ±F¡Ù0ʱ£¬a=0£®Ò²¾ÍÊÇ˵µ±Éþ×ÓÉÏÓÐÀÁ¦Ê±Ð¡³µµÄ¼ÓËٶȻ¹Îª0£¬ËµÃ÷С³µµÄĦ²ÁÁ¦ÓëÉþ×ÓµÄÀÁ¦µÖÏûÄØ£®¸ÃͬѧʵÑé²Ù×÷ÖÐÒÅ©ÁËδƽºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»¹»£®
ËùÒÔÔÒòÊÇʵÑéǰδƽºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»¹»
¹Ê´ð°¸Îª£º£¨1£©A
£¨2£©CD
£¨3£©¢Ù¼ûÉÏͼ ¢ÚδƽºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»¹»
µãÆÀ£º¸ÃʵÑéÊÇ̽¾¿¼ÓËÙ¶ÈÓëÁ¦¡¢ÖÊÁ¿µÄÈýÕß¹Øϵ£¬Ñо¿ÈýÕß¹Øϵ±ØÐëÔËÓÿØÖƱäÁ¿·¨£®
ʵÑéÎÊÌâÐèÒª½áºÏÎïÀí¹æÂÉÈ¥½â¾ö£®¶ÔÓÚʵÑéÎÒÃÇÒªÇå³þÿһÏî²Ù×÷´æÔÚµÄÀíÓÉ£®±ÈÈçΪʲôҪƽºâĦ²ÁÁ¦£¬ÎªÊ²Ã´ÒªÏȽÓͨµçÔ´ºóÊÍ·ÅÖ½´øµÈ£®½â¾öʵÑéÎÊÌâÊ×ÏÈÒªÕÆÎÕ¸ÃʵÑéÔÀí£¬Á˽âʵÑéµÄ²Ù×÷²½ÖèºÍÊý¾Ý´¦ÀíÒÔ¼°×¢ÒâÊÂÏÆäÖÐƽºâĦ²ÁÁ¦µÄÔÒòÒÔ¼°×ö·¨ÔÚʵÑéÖÐÓ¦µ±Çå³þ£®
ʵÑéÎÊÌâÐèÒª½áºÏÎïÀí¹æÂÉÈ¥½â¾ö£®¶ÔÓÚʵÑéÎÒÃÇÒªÇå³þÿһÏî²Ù×÷´æÔÚµÄÀíÓÉ£®±ÈÈçΪʲôҪƽºâĦ²ÁÁ¦£¬ÎªÊ²Ã´ÒªÏȽÓͨµçÔ´ºóÊÍ·ÅÖ½´øµÈ£®½â¾öʵÑéÎÊÌâÊ×ÏÈÒªÕÆÎÕ¸ÃʵÑéÔÀí£¬Á˽âʵÑéµÄ²Ù×÷²½ÖèºÍÊý¾Ý´¦ÀíÒÔ¼°×¢ÒâÊÂÏÆäÖÐƽºâĦ²ÁÁ¦µÄÔÒòÒÔ¼°×ö·¨ÔÚʵÑéÖÐÓ¦µ±Çå³þ£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿