ÌâÄ¿ÄÚÈÝ
8£®Ä³Ñо¿Ð¡×éÉè¼ÆÁËÒ»ÖÖ¡°ÓÃÒ»°Ñ³ß×Ӳⶨ¶¯Ä¦²ÁÒòÊý¡±µÄʵÑé·½°¸£¬ÈçͼËùʾ£¬AÊǿɹ̶¨ÓÚˮƽ×ÀÃæÉÏÈÎÒâλÖõĻ¬²Û£¨»¬²ÛÄ©¶ËÓë×ÀÃæÏàÇУ©£¬BÊÇÖÊÁ¿ÎªmµÄ»¬¿é£¨¿ÉÊÓΪÖʵ㣩£®µÚÒ»´ÎʵÑ飬Èçͼ£¨a£©Ëùʾ£¬½«»¬²ÛÄ©¶ËÓë×ÀÃæÓÒ¶ËM¶ÔÆë²¢¹Ì¶¨£¬Èû¬¿é´Ó»¬²Û×î¸ßµãÓɾ²Ö¹»¬Ï£¬×îÖÕÂäÔÚˮƽµØÃæÉϵÄPµã£¬²â³ö»¬²Û×î¸ßµã¾àÀë×ÀÃæµÄ¸ß¶Èh¡¢M¾àÀëµØÃæµÄ¸ß¶ÈH¡¢MÓëP¼äµÄˮƽ¾àÀëx1£»
µÚ¶þ´ÎʵÑ飬Èçͼ£¨b£©Ëùʾ£¬½«»¬²ÛÑØ×ÀÃæÏò×óÒƶ¯Ò»¶Î¾àÀë²¢¹Ì¶¨£¬Èû¬¿éBÔٴδӻ¬²Û×î¸ßµãÓɾ²Ö¹»¬Ï£¬×îÖÕÂäÔÚˮƽµØÃæÉϵÄP¡äµã£¬²â³ö»¬²ÛÄ©¶ËÓë×ÀÃæÓÒ¶ËMµÄ¾àÀëL¡¢MÓëP¡ä¼äµÄˮƽ¾àÀëx2£®
£¨1£©ÔÚµÚ¶þ´ÎʵÑéÖУ¬»¬¿éÔÚ»¬²ÛÄ©¶ËʱµÄËٶȴóСΪ${x}_{2}\sqrt{\frac{g}{2H}}$£®£¨ÓÃʵÑéÖÐËù²âÎïÀíÁ¿µÄ·ûºÅ±íʾ£¬ÒÑÖªÖØÁ¦¼ÓËÙ¶ÈΪg£©£®
£¨2£©Í¨¹ýÉÏÊö²âÁ¿ºÍ½øÒ»²½µÄ¼ÆË㣬¿ÉÇó³ö»¬¿éÓë×ÀÃæ¼äµÄ¶¯Ä¦²ÁÒòÊý¦Ì£¬ÏÂÁÐÄÜÒýÆðʵÑéÎó²îµÄÊÇBCD
A£®hµÄ²âÁ¿ B£®HµÄ²âÁ¿ C£®LµÄ²âÁ¿ D£®x2µÄ²âÁ¿
£¨3£©ÈôʵÑéÖвâµÃh=15cm¡¢H=25cm¡¢x1=30cm¡¢L=10cm¡¢x2=20cm£¬Ôò»¬¿éÓë×ÀÃæ¼äµÄ¶¯Ä¦²ÁÒòÊý¦Ì=0.5£®£¨½á¹û±£Áô1λÓÐЧÊý×Ö£©
·ÖÎö £¨1£©ÓÉƽÅ×Ô˶¯µÄ֪ʶÇóµÃËٶȵĴóС£®
£¨2£©·²Ó°Ïìµ½ËٶȴóСµÄÇó½âµÄÁ¿¾ù»áÒýÆðʵÑéÎó²î£®
£¨3£©ÏÈÁгö¦ÌµÄ±í´ïʽ£¬´úÈëÊý¾Ý¼ÆËã¼´¿É
½â´ð ½â£º£¨1£©»¬¿éÔÚ»¬²ÛÄ©¶ËʱµÄËٶȴóСΪ£ºv1=$\frac{{x}_{1}}{t}$
${v}_{2}=\frac{{x}_{2}}{t}$
ÓÉÊúÖ±·½ÏòÓУº$H=\frac{1}{2}g{t}^{2}$
Á¢½âµÃv2=${x}_{2}\sqrt{\frac{g}{2H}}$
${v}_{1}={x}_{1}\sqrt{\frac{g}{2H}}$
£¨2£©µÚÒ»´Î²âµÄËÙ¶ÈΪ£º${v}_{1}={x}_{1}\sqrt{\frac{g}{2H}}$
ÎïÌåÔÚˮƽ×ÀÃæÉÏÔ˶¯£¬Óɶ¯Äܶ¨Àí£º$-¦ÌmgL=\frac{1}{2}{mv}_{2}^{2}-\frac{1}{2}{mv}_{1}^{2}$
ÁªÁ¢½âµÃ£º¦Ì=$\frac{{x}_{1}^{2}{-x}_{2}^{2}}{4HL}$ Óɱí´ïʽ¿ÉÖª»áÒýÆðÎó²îµÄÊÇBCD£®
¹ÊÑ¡£ºBCD
£¨3£©¸ù¾Ý£¨2£©¿É֪Ħ²ÁÒòÊýΪ¦Ì=$\frac{{x}_{1}^{2}{-x}_{2}^{2}}{4HL}$
H=25cm=0.25m¡¢x1=30cm=0.30m¡¢L=10cm=0.10m¡¢x2=20cm=0.20m
´úÈëÊý¾Ý½âµÃ£º¦Ì=$\frac{{x}_{1}^{2}{-x}_{2}^{2}}{4HL}$=$\frac{0£®{3}^{2}-0£®{2}^{2}}{4¡Á0.25¡Á0.1}$=0.5
¹Ê´ð°¸Îª£º£¨1£©${x}_{2}\sqrt{\frac{g}{2H}}$£»£¨2£©BCD£»£¨3£©0.5
µãÆÀ ¸ÃʵÑéÓÐÒ»¶¨µÄ´´ÐÂÐÔ£¬ÆäʵºÜ¶à¸´ÔÓµÄʵÑéÆäʵÑéÔÀí¶¼ÊÇÀ´×ÔÎÒÃÇËùѧµÄ»ù±¾¹æÂÉ£¬ÕâµãÒªÔÚƽʱѵÁ·ÖÐÈ¥Ìå»á
A£® | ÎÀÐǾàÀëµØÃæµÄ¸ß¶ÈºÍÆäÔËÐеÄÖÜÆÚ | |
B£® | ÔÂÇò×ÔתµÄÖÜÆÚºÍÔÂÇòµÄ°ë¾¶ | |
C£® | µØÇò±íÃæµÄÖØÁ¦¼ÓËٶȺ͵ØÇò°ë¾¶ | |
D£® | µØÇò¹«×ªµÄÖÜÆÚºÍÈÕµØÖ®¼äµÄ¾àÀë |
A£® | ¸ÐÓ¦µç¶¯ÊƵĴóСÓëÏßȦµÄÔÑÊýÓÐ¹Ø | |
B£® | ´©¹ýÏßȦµÄ´ÅͨÁ¿Ô½´ó£¬ÏßȦÖвúÉúµÄ¸ÐÓ¦µç¶¯ÊÆÔ½´ó | |
C£® | ´©¹ýÏßȦµÄ´ÅͨÁ¿±ä»¯Á¿Ô½´ó£¬ÏßȦÖвúÉúµÄ¸ÐÓ¦µçÁ÷Ô½´ó | |
D£® | ¸ÐÓ¦µçÁ÷²úÉúµÄ´Å³¡·½ÏòÓëԴų¡·½ÏòʼÖÕÏàͬ |
A£® | $\frac{\sqrt{3}¦ÐL}{3{v}_{0}}$ | B£® | $\frac{\sqrt{3}¦ÐL}{6{v}_{0}}$ | C£® | $\frac{\sqrt{3}¦ÐL}{9{v}_{0}}$ | D£® | $\frac{\sqrt{3}¦ÐL}{12{v}_{0}}$ |