ÌâÄ¿ÄÚÈÝ
17£®Èçͼ¼×Ϊ¡°Ñé֤ţ¶ÙµÚ¶þ¶¨ÂÉ¡±µÄʵÑé×°ÖÃʾÒâͼ£¬Å̺ÍÖØÎïµÄ×ÜÖÊÁ¿Îªm£¬Ð¡³µºÍíÀÂëµÄ×ÜÖÊÁ¿ÎªM£®ÊµÑéÖÐÓÃÅ̺ÍÖØÎï×ÜÖØÁ¦µÄ´óС×÷ΪϸÏ߶ÔС³µÀÁ¦µÄ´óС£®£¨1£©ÊµÑéÖУ¬ÎªÁËʹϸÏ߶ÔС³µµÄÀÁ¦µÈÓÚС³µËùÊܵĺÏÍâÁ¦£¬Ïȵ÷½Ú³¤Ä¾°åÒ»¶Ë¶¨»¬Âֵĸ߶ȣ¬Ê¹Ï¸ÏßÓ볤ľ°åƽÐУ®½ÓÏÂÀ´»¹ÐèÒª½øÐеÄÒ»Ïî²Ù×÷ÊÇB£¨ÌîдËùÑ¡Ñ¡ÏîµÄÐòºÅ£©£®
A£®½«³¤Ä¾°åˮƽ·ÅÖã¬ÈÃС³µÁ¬×ÅÒѾ´©¹ý´òµã¼ÆʱÆ÷µÄÖ½´ø£¬¸ø´òµã¼ÆʱÆ÷ͨµç£¬µ÷½ÚmµÄ´óС£¬Ê¹Ð¡³µÔÚÅ̺ÍÖØÎïµÄÇ£ÒýÏÂÔ˶¯£¬´Ó´ò³öµÄÖ½´øÅжÏС³µÊÇ·ñ×öÔÈËÙÔ˶¯£®
B£®½«³¤Ä¾°åµÄÓҶ˵æÆðÊʵ±µÄ¸ß¶È£¬ÈÃС³µÁ¬×ÅÒѾ´©¹ý´òµã¼ÆʱÆ÷µÄÖ½´ø£¬³·È¥Å̺ÍÖØÎ¸ø´òµã¼ÆʱÆ÷ͨµç£¬ÇáÍÆС³µ£¬´Ó´ò³öµÄÖ½´øÅжÏС³µÊÇ·ñ×öÔÈËÙÔ˶¯£®
C£®½«³¤Ä¾°åµÄÓҶ˵æÆðÊʵ±µÄ¸ß¶È£¬³·È¥Ö½´øÒÔ¼°Å̺ÍÖØÎÇáÍÆС³µ£¬¹Û²ìÅжÏС³µÊÇ·ñ×öÔÈËÙÔ˶¯£®
£¨2£©Í¼ÒÒÖÐÊÇʵÑéÖеõ½µÄÒ»ÌõÖ½´ø£¬A¡¢B¡¢C¡¢D¡¢E¡¢F¡¢GΪ7¸öÏàÁڵļÆÊýµã£¬Á¿³öÏàÁڵļÆÊýµãÖ®¼äµÄ¾àÀë·Ö±ðΪx1¡¢x2¡¢x3¡¢x4¡¢x5¡¢x6£®ÒÑÖªÏàÁڵļÆÊýµãÖ®¼äµÄʱ¼ä¼ä¸ôΪT£¬ÔòС³µµÄ¼ÓËÙ¶ÈaÊÇ$\frac{£¨{x}_{6}-{x}_{3}£©+£¨{x}_{5}-{x}_{2}£©+£¨{x}_{4}-{x}_{1}£©}{9{T}^{2}}$£®
£¨3£©ÊµÑéÖÐÒª½øÐÐÖÊÁ¿mºÍMµÄÑ¡È¡£¬ÒÔÏÂ×îºÏÀíµÄÒ»×éÊÇC£¨ÌîÑ¡Ïî×Öĸ£©£®
A£®M=20g£¬m=10g¡¢15g¡¢20g¡¢25g¡¢30g¡¢40g
B£®M=200g£¬m=20g¡¢40g¡¢60g¡¢80g¡¢100g¡¢120g
C£®M=400g£¬m=10g¡¢15g¡¢20g¡¢25g¡¢30g¡¢40g
D£®M=400g£¬m=20g¡¢40g¡¢60g¡¢80g¡¢100g¡¢120g
£¨4£©¸ÃʵÑéС×éÒÔ²âµÃµÄ¼ÓËÙ¶ÈaΪ×ÝÖᣬÅ̺ÍÖØÎïµÄ×ÜÖØÁ¦ÎªFΪºáÖᣬ×÷³öµÄͼÏóÈç±ûͼÖÐͼÏß1Ëùʾ£¬·¢ÏÖͼÏó²»¹ýԵ㣬»³ÒÉÔÚ²âÁ¿Á¦Ê±²»×¼È·£¬ËûÃǽ«ÊµÑé½øÐÐÁ˸Ä×°£¬½«Ò»¸öÁ¦´«¸ÐÆ÷°²×°ÔÚС³µÉÏ£¬Ö±½Ó²âÁ¿Ï¸ÏßÀС³µµÄÁ¦F¡ä£¬×÷a-F¡äͼÈç±ûͼÖÐͼÏß2Ëùʾ£¬ÔòͼÏó²»¹ýÔµãµÄÔÒòÊÇδƽºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»×㣬¶ÔÓÚͼÏóÉÏÏàͬµÄÁ¦£¬Óô«¸ÐÆ÷²âµÃµÄ¼ÓËÙ¶ÈÆ«´ó£¬ÆäÔÒòÊǹ³ÂëµÄÖÊÁ¿Î´Ô¶Ð¡ÓÚС³µµÄÖÊÁ¿£®
·ÖÎö £¨1£©Ð¡³µÏ»¬Ê±Êܵ½ÖØÁ¦¡¢Ï¸ÏßµÄÀÁ¦¡¢Ö§³ÖÁ¦ºÍĦ²ÁÁ¦£¬ÒªÊ¹ÀÁ¦µÈÓÚºÏÁ¦£¬ÔòӦƽºâĦ²ÁÁ¦£»
£¨2£©¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2¿ÉÒÔÇó³ö¼ÓËٶȵĴóС£»
£¨3£©µ±É³ºÍɳͰ×ÜÖÊÁ¿Ô¶Ô¶Ð¡ÓÚС³µºÍíÀÂëµÄ×ÜÖÊÁ¿£¬¼´m£¼£¼Mʱ²Å¿ÉÒÔÈÏΪÉþ¶ÔС³µµÄÀÁ¦´óСµÈÓÚɳºÍɳͰµÄÖØÁ¦£»
£¨4£©¸ù¾ÝF²»µÈÓÚÁ㣬¼ÓËÙ¶ÈÈÔȻΪÁ㣬·ÖÎöͼÏó²»¹ýÔµãµÄÔÒò£®
½â´ð ½â£º£¨1£©Ð¡³µÏ»¬Ê±Êܵ½ÖØÁ¦¡¢Ï¸ÏßµÄÀÁ¦¡¢Ö§³ÖÁ¦ºÍĦ²ÁÁ¦£¬ÒªÊ¹ÀÁ¦µÈÓÚºÏÁ¦£¬ÔòÓ¦¸ÃÓÃÖØÁ¦µÄÏ»¬·ÖÁ¿À´Æ½ºâĦ²ÁÁ¦£¬¿ÉÒÔ½«³¤Ä¾°åµÄÒ»¶Îµæ¸ß£¬³·È¥É°ºÍÉ°Í°£¬ÇáÍÆС³µ£¬´Ó´ò³öµÄÖ½´øÅжÏС³µÊÇ·ñ×öÔÈËÙÔ˶¯£¬¹ÊBÕýÈ·£»
¹ÊÑ¡£ºB
£¨2£©¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2£¬½áºÏ×÷²î·¨µÃ£º
a=$\frac{£¨{x}_{6}-{x}_{3}£©+£¨{x}_{5}-{x}_{2}£©+£¨{x}_{4}-{x}_{1}£©}{9{T}^{2}}$£»
£¨3£©ÖØÎï¼ÓËÙÏ»¬£¬´¦ÓÚʧÖØ״̬£¬Æä¶ÔϸÏßµÄÀÁ¦Ð¡ÓÚÖØÁ¦£¬ÉèÀÁ¦ÎªT£¬¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂÉ£¬ÓÐ
¶ÔÖØÎÓÐ mg-T=ma
¶ÔС³µ£¬ÓÐ T=Ma
½âµÃ£ºT=$\frac{M}{M+m}$g£¬¹Êµ±M£¾£¾mʱ£¬ÓÐT¡Ömg
¹ÊC·ûºÏÒªÇó
¹ÊÑ¡£ºC
£¨4£©ÓÉͼÏß¿ÉÖª£¬F²»µÈÓÚÁãʱ£¬aÈÔȻΪÁ㣬¿É֪ͼÏß²»¹ýÔµãµÄÔÒòÊÇδƽºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»×㣮
Á¦´«¸ÐÆ÷¿ÉÒÔÖ±½ÓµÃ³öÉþ×ÓÀÁ¦µÄ´óС£¬Óù³ÂëµÄÖØÁ¦±íʾÉþ×ÓµÄÀÁ¦£¬±ØÐëÂú×ã¹³ÂëµÄÖÊÁ¿Ô¶Ð¡ÓÚС³µµÄÖÊÁ¿£¬·ñÔòÉþ×ÓµÄÀÁ¦Êµ¼ÊÉÏСÓÚ¹³ÂëµÄÖØÁ¦£®ËùÒÔ¶ÔÓÚͼÏßÉÏÏàͬµÄÁ¦£¬Óô«¸ÐÆ÷²âµÃµÄ¼ÓËÙ¶ÈÆ«´ó£¬ÔÒòÊǹ³ÂëµÄÖÊÁ¿Î´Ô¶Ð¡ÓÚС³µµÄÖÊÁ¿£®
¹Ê´ð°¸Îª£º£¨1£©B£»£¨2£©$\frac{£¨{x}_{6}-{x}_{3}£©+£¨{x}_{5}-{x}_{2}£©+£¨{x}_{4}-{x}_{1}£©}{9{T}^{2}}$£»£¨3£©C£»£¨4£©Î´Æ½ºâĦ²ÁÁ¦»òƽºâĦ²ÁÁ¦²»×㣬¹³ÂëµÄÖÊÁ¿Î´Ô¶Ð¡ÓÚС³µµÄÖÊÁ¿
µãÆÀ ÒªÌá¸ßÓ¦ÓÃÔȱäËÙÖ±ÏߵĹæÂÉÒÔ¼°ÍÆÂÛ½â´ðʵÑéÎÊÌâµÄÄÜÁ¦£¬Ö»ÒªÕæÕýÕÆÎÕÁËʵÑéÔÀí¾ÍÄÜ˳Àû½â¾ö´ËÀàʵÑéÌâÄ¿£¬¶øʵÑé²½Ö裬ʵÑéÊý¾ÝµÄ´¦Àí¶¼ÓëʵÑéÔÀíÓйأ¬¹ÊÒª¼ÓÇ¿¶ÔʵÑéÔÀíµÄѧϰºÍÕÆÎÕ£®
A£® | ΪÁ˼ÆË㶯ÄܺÍÊÆÄÜ£¬ÒªÓÃÌìƽ²âÁ¿ÎïÌåµÄÖÊÁ¿ | |
B£® | ΪÁ˼õС³¤¶È²âÁ¿µÄÎó²î£¬Òª´Ó¼£µã¼ä¾à´óÓÚ4mm¿ªÊ¼Ñ¡È¡¼ÇÊýµã | |
C£® | ΪÁ˱£Ö¤³õËÙΪÁ㣬ҪѡȡµÚÒ»¡¢¶þÁ½µã¼äµÄ¾àÀë½Ó½ü2mmµÄÖ½´ø½øÐвâÁ¿ | |
D£® | ΪÁ˼õС³¤¶È²âÁ¿µÄÎó²î£¬Òª´Ó¼£µã¼ä¾à´óÓÚ4mmijµã¿ªÊ¼²âÁ¿h |
A£® | ΢Á£×öÍù¸´Ô˶¯ | |
B£® | ΢Á£½«ÑØ×ÅÒ»ÌõÖ±ÏßÔ˶¯ | |
C£® | ΢Á£ÔÚµÚ1 sÄÚµÄλÒÆÓëµÚ3 sÄÚµÄλÒÆÏàͬ | |
D£® | ΢Á£ÔÚ0¡«1 sÄڵļÓËÙ¶ÈÓë1¡«2 sÄڵļÓËÙ¶ÈÏàͬ |
A£® | ²âÁ¿µç×èÇ°Òª°Ñºì¡¢ºÚ±í±ÊÏà½Ó£¬µ÷Õûµ÷ÁãÐýÅ¥£¬Ê¹Ö¸ÕëÖ¸ÔÚµç×è¿Ì¶ÈµÄÁãλÉÏ | |
B£® | ²âÁ¿µç×èʱ£¬Èç¹ûÖ¸ÕëÆ«½Ç¹ýС£¬Ó¦»»Óø߱¶Âʵµ | |
C£® | ²âÁ¿µç×èʱ£¬±íÕëƫת½Ç¶ÈÔ½´ó£¬ËµÃ÷±»²âµç×èµÄ×èÖµÔ½´ó | |
D£® | ²âÁ¿µç×èʱ£¬Ã¿´Î¸ü»»±¶Âʺ󣬲»ÐèÒªÖØе÷Áã |
A£® | E=$\frac{F}{q}$Öеij¡Ç¿EÊǵçºÉq²úÉúµÄ | B£® | E=$\frac{U}{d}$ÖеÄd±íʾÁ½µã¼äµÄ¾àÀë | ||
C£® | E=$\frac{kQ}{{r}^{2}}$Öеij¡Ç¿EÊǵçºÉQ²úÉúµÄ | D£® | E=$\frac{F}{q}$ºÍE=$\frac{kQ}{{r}^{2}}$¶¼Ö»¶ÔµãµçºÉÊÊÓà |