ÌâÄ¿ÄÚÈÝ
£¨1£©¡°ÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨Ôò¡±µÄʵÑéÇé¿öÈçͼ¼×Ëùʾ£¬ÆäÖÐAΪ¹Ì¶¨ÏðƤ½îµÄͼ¶¤£¬OΪÏðƤ½îÓëϸÏߵĽáµã£¬OBºÍOCΪϸÏߣ®Í¼ÒÒÊÇÔÚ°×Ö½Éϸù¾ÝʵÑé½á¹û»³öÁ¦µÄͼʾ£®
£¨a£©×öºÃʵÑé×¼±¸ºó£¬ÏÈÓÃÁ½¸öµ¯»É³Ó°ÑÏðƤÌõµÄ½áµãÀµ½Ä³Ò»Î»ÖÃO£¬´ËʱÐèÒª¼Ç¼µÄÊÇOµãλÖ㬠£¬ £®
£¨b£©Ä³Í¬Ñ§ÒÑ×÷³öF1¡¢F2ºÍʵÑé²âÁ¿ÖµF¡äµÄͼʾ£¬ÇëÔÚͼÒÒÖÐ×÷³öF1¡¢F2ºÏÁ¦ÀíÂÛÖµFµÄͼʾ£®
£¨c£©Í¼ÒÒÖеÄFÓëF¡¯Á½Á¦ÖУ¬·½ÏòÒ»¶¨ÑØAO·½ÏòµÄÊÇ £®
£¨d£©±¾ÊµÑé²ÉÓõĿÆѧ·½·¨ÊÇ £®
A£®ÀíÏëʵÑé·¨ B£®µÈЧÌæ´ú·¨ C£®¿ØÖƱäÁ¿·¨ D£®½¨Á¢ÎïÀíÄ£ÐÍ·¨
£¨2£©ÔÚÑéÖ¤»úеÄÜÊغ㶨ÂÉʵÑéÖУº
¢Ù¹ØÓÚ±¾ÊµÑéµÄÐðÊöÖУ¬ÕýÈ·µÄÓÐ
A£®ÐèÓÃÌìƽ²â³öÖØ´¸µÄÖÊÁ¿
B£®ÑéÖ¤»úеÄÜÊÇ·ñÊغã±ØÐëÏÈÈ·¶¨ÖØÁ¦ÊÆÄܵIJο¼Æ½Ãæ
C£®´òµã¼ÆʱÆ÷ÓÃËĽڸɵç³Ø´®Áª¶ø³ÉµÄµç³Ø×é×÷ΪµçÔ´
D£®´òµã¼ÆʱÆ÷°²×°Ê±ÒªÊ¹Á½ÏÞ¿×λÓÚͬһÊúÖ±ÏßÉϲ¢°²×°Îȶ¨£¬ÒÔ¼õÉÙÖ½´øÏÂÂä¹ý³ÌÖеÄ×èÁ¦
¢ÚÑéÖ¤»úеÄÜÊÇ·ñÊغãʱ£¬ÊµÑéÖмÆËãijһµãµÄËٶȣ¬¼×ͬѧÓÃv=gtÀ´¼ÆË㣬ÒÒͬѧÓÃv n=
À´¼ÆË㣮ÆäÖРͬѧµÄ¼ÆËã·½·¨¸ü·ûºÏʵÑéÒªÇó£®
¢Û±¾ÊµÑéÖÐÒýÆðÎó²îµÄÖ÷ÒªÔÒòÊÇ £®
¢Ü±ûͬѧ°´ÕÕÕýÈ·µÄ²Ù×÷£¬Ö½´øÈçͼ£®ÆäÖÐOÊÇÆðʼµã£¬A¡¢B¡¢CÊÇ´òµã¼ÆʱÆ÷Á¬Ðø´òϵÄ3¸öµã£®¸ÃͬѧÓúÁÃ׿̶ȳ߲âÁ¿Oµ½A¡¢B¡¢C¸÷µãµÄ¾àÀ룬²¢¼Ç¼ÔÚͼÖУ¨µ¥Î»£ºcm£©£®
ÕâÈý¸öÊý¾ÝÖв»·ûºÏ¶ÁÊýÒªÇóµÄÊÇ £¬Ó¦¼Ç×÷ cm£®ÖØ´¸ÏÂÂä¹ý³ÌÖеÄʵ¼Ê¼ÓËÙ¶Èa= m/s2£®£¨½á¹û±£Áô¶þλÓÐЧÊý×Ö£©
£¨a£©×öºÃʵÑé×¼±¸ºó£¬ÏÈÓÃÁ½¸öµ¯»É³Ó°ÑÏðƤÌõµÄ½áµãÀµ½Ä³Ò»Î»ÖÃO£¬´ËʱÐèÒª¼Ç¼µÄÊÇOµãλÖã¬
£¨b£©Ä³Í¬Ñ§ÒÑ×÷³öF1¡¢F2ºÍʵÑé²âÁ¿ÖµF¡äµÄͼʾ£¬ÇëÔÚͼÒÒÖÐ×÷³öF1¡¢F2ºÏÁ¦ÀíÂÛÖµFµÄͼʾ£®
£¨c£©Í¼ÒÒÖеÄFÓëF¡¯Á½Á¦ÖУ¬·½ÏòÒ»¶¨ÑØAO·½ÏòµÄÊÇ
£¨d£©±¾ÊµÑé²ÉÓõĿÆѧ·½·¨ÊÇ
A£®ÀíÏëʵÑé·¨ B£®µÈЧÌæ´ú·¨ C£®¿ØÖƱäÁ¿·¨ D£®½¨Á¢ÎïÀíÄ£ÐÍ·¨
£¨2£©ÔÚÑéÖ¤»úеÄÜÊغ㶨ÂÉʵÑéÖУº
¢Ù¹ØÓÚ±¾ÊµÑéµÄÐðÊöÖУ¬ÕýÈ·µÄÓÐ
A£®ÐèÓÃÌìƽ²â³öÖØ´¸µÄÖÊÁ¿
B£®ÑéÖ¤»úеÄÜÊÇ·ñÊغã±ØÐëÏÈÈ·¶¨ÖØÁ¦ÊÆÄܵIJο¼Æ½Ãæ
C£®´òµã¼ÆʱÆ÷ÓÃËĽڸɵç³Ø´®Áª¶ø³ÉµÄµç³Ø×é×÷ΪµçÔ´
D£®´òµã¼ÆʱÆ÷°²×°Ê±ÒªÊ¹Á½ÏÞ¿×λÓÚͬһÊúÖ±ÏßÉϲ¢°²×°Îȶ¨£¬ÒÔ¼õÉÙÖ½´øÏÂÂä¹ý³ÌÖеÄ×èÁ¦
¢ÚÑéÖ¤»úеÄÜÊÇ·ñÊغãʱ£¬ÊµÑéÖмÆËãijһµãµÄËٶȣ¬¼×ͬѧÓÃv=gtÀ´¼ÆË㣬ÒÒͬѧÓÃv n=
(sn+sn+1) | 2T |
¢Û±¾ÊµÑéÖÐÒýÆðÎó²îµÄÖ÷ÒªÔÒòÊÇ
¢Ü±ûͬѧ°´ÕÕÕýÈ·µÄ²Ù×÷£¬Ö½´øÈçͼ£®ÆäÖÐOÊÇÆðʼµã£¬A¡¢B¡¢CÊÇ´òµã¼ÆʱÆ÷Á¬Ðø´òϵÄ3¸öµã£®¸ÃͬѧÓúÁÃ׿̶ȳ߲âÁ¿Oµ½A¡¢B¡¢C¸÷µãµÄ¾àÀ룬²¢¼Ç¼ÔÚͼÖУ¨µ¥Î»£ºcm£©£®
ÕâÈý¸öÊý¾ÝÖв»·ûºÏ¶ÁÊýÒªÇóµÄÊÇ
·ÖÎö£º£¨1£©±¾ÊµÑéµÄÄ¿µÄÊÇÒªÑé֤ƽÐÐËıßÐζ¨Ôò£¬¹ÊӦͨ¹ýƽÐÐËıßÐεóöºÏÁ¦ÔÙÓëÕæʵµÄºÏÁ¦½øÐбȽϣ»Àí½âʵÑéµÄÔÀí¼´¿É½â´ð±¾Ì⣮
£¨2£©ÊµÑéÖÐÈôÖ½´øÔȱäËÙÖ±ÏßÔ˶¯£¬²âµÃÖ½´øÉϵĵã¼ä¾à£¬ÀûÓÃÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ£¬¿É¼ÆËã³ö´ò³öijµãʱֽ´øÔ˶¯µÄ¼ÓËٶȣ®´Ó¹¦ÄܹØϵµÄ½Ç¶ÈÖªµÀʵÑé´æÔÚµÄÎó²î£®
£¨2£©ÊµÑéÖÐÈôÖ½´øÔȱäËÙÖ±ÏßÔ˶¯£¬²âµÃÖ½´øÉϵĵã¼ä¾à£¬ÀûÓÃÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ£¬¿É¼ÆËã³ö´ò³öijµãʱֽ´øÔ˶¯µÄ¼ÓËٶȣ®´Ó¹¦ÄܹØϵµÄ½Ç¶ÈÖªµÀʵÑé´æÔÚµÄÎó²î£®
½â´ð£º½â£º£¨1£©£¨a£©×öºÃʵÑé×¼±¸ºó£¬ÏÈÓÃÁ½¸öµ¯»É³Ó°ÑÏðƤÌõµÄ½áµãÀµ½Ä³Ò»Î»ÖÃO£¬´ËʱÐèÒª¼Ç¼µÄÊÇOµãλÖã¬Á½µ¯»ÉµÄ¶ÁÊý£¬Á½Ï¸ÉþÌ׵ķ½Ïò£®
£¨b£©Ä³Í¬Ñ§ÒÑ×÷³öF1¡¢F2ºÍʵÑé²âÁ¿ÖµF¡äµÄͼʾ£¬Í¼ÒÒÖÐ×÷³öF1¡¢F2ºÏÁ¦ÀíÂÛÖµFµÄͼʾΪ£º
£¨c£©F1ÓëF2ºÏÁ¦µÄʵÑéÖµÊÇָͨ¹ýʵÑéµÃµ½Öµ£¬¼´ÓÃÒ»¸öµ¯»ÉÀÉþÌ×ʱ²âµÃµÄÁ¦µÄ´óСºÍ·½Ïò£¬¶øÀíÂÛÖµ£¨Êµ¼ÊÖµ£©ÊÇָͨ¹ýƽÐÐËıßÐεóöµÄÖµ£¬¹ÊF¡äÊÇÁ¦F1ÓëF2ºÏÁ¦µÄʵÑéÖµ£¬Æä·½ÏòÒ»¶¨ÑØAO·½Ïò£®
£¨d£©±¾ÊµÑé²ÉÓõĿÆѧ·½·¨ÊǵÈЧÌæ´ú·¨£¬¹ÊÑ¡B£®
£¨2£©¢ÙA¡¢ÒòΪÎÒÃÇÊDZȽÏmgh¡¢
mv2µÄ´óС¹Øϵ£¬¹Êm¿ÉԼȥ±È½Ï£¬²»ÐèÒªÓÃÌìƽ£®¹ÊA´íÎó£®
B¡¢ÑéÖ¤»úеÄÜÊغ㲻ÐèÒªÏÈÈ·¶¨ÖØÁ¦ÊÆÄܵIJο¼Æ½Ã棬¹ÊB´íÎó
C¡¢´òµã¼ÆʱÆ÷ʹÓý»Á÷µçÔ´£¬¹ÊC´íÎó
D¡¢´òµã¼ÆʱÆ÷°²×°Ê±ÒªÊ¹Á½ÏÞ¿×λÓÚͬһÊúÖ±ÏßÉϲ¢°²×°Îȶ¨£¬ÒÔ¼õÉÙÖ½´øÏÂÂä¹ý³ÌÖеÄ×èÁ¦£¬¹ÊDÕýÈ·
¹ÊÑ¡D£®
¢ÚÔÚÑéÖ¤»úеÄÜÊغãµÄʵÑéÖУ¬ÓÉÓÚ´æÔÚ×èÁ¦ÎïÌåʵ¼ÊÏÂÂäµÄ¼ÓËÙ¶ÈСÓÚÖØÁ¦¼ÓËٶȣ¬ËùÒÔ²»Ó¦µ±ÓÃÖØÁ¦¼ÓËÙ¶ÈgÀ´±íʾijλÖõÄËٶȣ¬¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯ÖÐʱ¼äÖеãµÄËٶȵÈÓڸùý³ÌÖеÄƽ¾ùËٶȣ¬¿ÉÒÔÇó³ö´òÖ½´øÉϵãʱС³µµÄ˲ʱËٶȴóС£¬ËùÒÔÒÒͬѧµÄ¼ÆËã·½·¨¸ü·ûºÏʵÑéÒªÇó
¢Û±¾ÊµÑéÖÐÒýÆðÎó²îµÄÖ÷ÒªÔÒòÊÇÖØ´¸ÏÂÂä¹ý³ÌÖдæÔÚ×Å×èÁ¦×÷Óã®
¢ÜºÁÃ׿̶ȳ߲âÁ¿³¤¶È£¬ÒªÇó¹À¶Á¼´¶Áµ½×îС¿Ì¶ÈµÄÏÂһλ£®ÕâÈý¸öÊý¾ÝÖв»·ûºÏÓÐЧÊý×Ö¶ÁÊýÒªÇóµÄÊÇ15.7£¬Ó¦¼Ç×÷15.70cm
¸ù¾Ý¡÷h=gT2
½«¡÷h=£¨15.70-12.42£©-£¨12.42-9.51£©£¬
T=0.04s£¬´øÈë½âµÃ£ºg=9.3m/s2£®
¹Ê´ð°¸Îª£º£¨1£©£¨a£©Á½µ¯»ÉµÄ¶ÁÊý£»Á½Ï¸ÉþÌ׵ķ½Ïò
£¨b£©Èçͼ £¨c£© F¡ä
£¨d£©B
£¨2£©¢ÙD ¢ÚÒÒ
¢ÛÖØ´¸ÏÂÂä¹ý³ÌÖдæÔÚ×Å×èÁ¦×÷ÓÃ
¢Ü15.7£»15.70£¬9.3m/s2
£¨b£©Ä³Í¬Ñ§ÒÑ×÷³öF1¡¢F2ºÍʵÑé²âÁ¿ÖµF¡äµÄͼʾ£¬Í¼ÒÒÖÐ×÷³öF1¡¢F2ºÏÁ¦ÀíÂÛÖµFµÄͼʾΪ£º
£¨c£©F1ÓëF2ºÏÁ¦µÄʵÑéÖµÊÇָͨ¹ýʵÑéµÃµ½Öµ£¬¼´ÓÃÒ»¸öµ¯»ÉÀÉþÌ×ʱ²âµÃµÄÁ¦µÄ´óСºÍ·½Ïò£¬¶øÀíÂÛÖµ£¨Êµ¼ÊÖµ£©ÊÇָͨ¹ýƽÐÐËıßÐεóöµÄÖµ£¬¹ÊF¡äÊÇÁ¦F1ÓëF2ºÏÁ¦µÄʵÑéÖµ£¬Æä·½ÏòÒ»¶¨ÑØAO·½Ïò£®
£¨d£©±¾ÊµÑé²ÉÓõĿÆѧ·½·¨ÊǵÈЧÌæ´ú·¨£¬¹ÊÑ¡B£®
£¨2£©¢ÙA¡¢ÒòΪÎÒÃÇÊDZȽÏmgh¡¢
1 |
2 |
B¡¢ÑéÖ¤»úеÄÜÊغ㲻ÐèÒªÏÈÈ·¶¨ÖØÁ¦ÊÆÄܵIJο¼Æ½Ã棬¹ÊB´íÎó
C¡¢´òµã¼ÆʱÆ÷ʹÓý»Á÷µçÔ´£¬¹ÊC´íÎó
D¡¢´òµã¼ÆʱÆ÷°²×°Ê±ÒªÊ¹Á½ÏÞ¿×λÓÚͬһÊúÖ±ÏßÉϲ¢°²×°Îȶ¨£¬ÒÔ¼õÉÙÖ½´øÏÂÂä¹ý³ÌÖеÄ×èÁ¦£¬¹ÊDÕýÈ·
¹ÊÑ¡D£®
¢ÚÔÚÑéÖ¤»úеÄÜÊغãµÄʵÑéÖУ¬ÓÉÓÚ´æÔÚ×èÁ¦ÎïÌåʵ¼ÊÏÂÂäµÄ¼ÓËÙ¶ÈСÓÚÖØÁ¦¼ÓËٶȣ¬ËùÒÔ²»Ó¦µ±ÓÃÖØÁ¦¼ÓËÙ¶ÈgÀ´±íʾijλÖõÄËٶȣ¬¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯ÖÐʱ¼äÖеãµÄËٶȵÈÓڸùý³ÌÖеÄƽ¾ùËٶȣ¬¿ÉÒÔÇó³ö´òÖ½´øÉϵãʱС³µµÄ˲ʱËٶȴóС£¬ËùÒÔÒÒͬѧµÄ¼ÆËã·½·¨¸ü·ûºÏʵÑéÒªÇó
¢Û±¾ÊµÑéÖÐÒýÆðÎó²îµÄÖ÷ÒªÔÒòÊÇÖØ´¸ÏÂÂä¹ý³ÌÖдæÔÚ×Å×èÁ¦×÷Óã®
¢ÜºÁÃ׿̶ȳ߲âÁ¿³¤¶È£¬ÒªÇó¹À¶Á¼´¶Áµ½×îС¿Ì¶ÈµÄÏÂһλ£®ÕâÈý¸öÊý¾ÝÖв»·ûºÏÓÐЧÊý×Ö¶ÁÊýÒªÇóµÄÊÇ15.7£¬Ó¦¼Ç×÷15.70cm
¸ù¾Ý¡÷h=gT2
½«¡÷h=£¨15.70-12.42£©-£¨12.42-9.51£©£¬
T=0.04s£¬´øÈë½âµÃ£ºg=9.3m/s2£®
¹Ê´ð°¸Îª£º£¨1£©£¨a£©Á½µ¯»ÉµÄ¶ÁÊý£»Á½Ï¸ÉþÌ׵ķ½Ïò
£¨b£©Èçͼ £¨c£© F¡ä
£¨d£©B
£¨2£©¢ÙD ¢ÚÒÒ
¢ÛÖØ´¸ÏÂÂä¹ý³ÌÖдæÔÚ×Å×èÁ¦×÷ÓÃ
¢Ü15.7£»15.70£¬9.3m/s2
µãÆÀ£º£¨1£©±¾ÌâÊôÓÚ¶ÔʵÑéÔÀíµÄÖ±½Ó¿¼²é£¬Ó¦×¼È·ÕÆÎÕʵÑéµÄÄ¿µÄ¼°ÊµÑéÔÀí·ÖÎöÐèÒª¼Ç¼µÄÄÚÈÝ£¬ÔÚѧϰ¾ø²»ÄÜËÀ¼ÇÓ²±³£®£¨2£©Ö½´øÎÊÌâµÄ´¦ÀíʱÁ¦Ñ§ÊµÑéÖг£¼ûµÄÎÊÌ⣬ÈôÖ½´øÔȱäËÙÖ±ÏßÔ˶¯£¬²âµÃÖ½´øÉϵĵã¼ä¾àÀûÓÃÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ£¬¿É¼ÆËã³ö´ò³öijµãʱֽ´øÔ˶¯µÄ¼ÓËٶȣ®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿