ÌâÄ¿ÄÚÈÝ
11£®Ð¡Ã÷ͬѧÀûÓÃÈçÏÂÆ÷²Ä²âÁ¿ºÏ½ð¿éµÄÃܶȣºÍÐÅÌÌìÆ½¡¢ÒçË®±¡¢ÉÕ±¡¢ºÏ½ð¿é¡¢×ãÁ¿µÄË®£®ÊµÑé²½ÖèÈçÏ£º£¨1£©°ÑÍÐÅÌÌìÆ½·ÅÔÚˮƽ×ÀÃæÉÏ£¬½«ÓÎÂëÖÃÓÚ±ê³ßµÄÁã¿Ì¶È´¦£¬·¢ÏÖºáÁº×ó¶ËµÍ¡¢ÓҶ˸ߣ¬Ó¦½«Æ½ºâÂÝĸÏòÓÒÒÆ¶¯£¨Ñ¡Ìî¡°×ó¡±»ò¡°ÓÒ¡±£©£¬Ê¹ÌìÆ½Æ½ºâ£®
£¨2£©°ÑºÏ½ð¿é·ÅÈëÌìÆ½×óÅÌ£¬ÔÚÓÒÅÌÄÚÔö¡¢¼õíÀÂ룬²¢µ÷½ÚÓÎÂ룬ÌìÆ½Æ½ºâºó£¬ÓÒÅÌÖÐËù·ÅíÀÂë¼°ÓÎÂëÔÚ±ê³ßÉϵÄλÖÃÈçͼ1Ëùʾ£¬ÔòºÏ½ð¿éµÄÖÊÁ¿Îª81g£®½Ó×ÅËûÓÖ²â³öÁË¿ÕÉÕ±µÄÖÊÁ¿Îª100g£®
£¨3£©½«ÊÊÁ¿µÄË®µ¹ÈëÒçË®±ÖУ¬ÈÃË®ÃæÓëÒçË®¿ÚÏàÆ½£¬ÔÙ½«ºÏ½ð¿éÇáÇá·ÅÈëÒçË®±ÖУ¬½þûˮÖкóµÄºÏ½ð¿éËùÅÅ¿ªµÄˮȫ²¿Ê¢ÓÚ¿ÕÉÕ±ÖУ¬Èçͼ2Ëùʾ£®ÓÃÌìÆ½²âµÃ´ËʱÉÕ±ºÍË®µÄÖÊÁ¿Îª127g£¬ÔòºÏ½ð¿éµÄÌå»ýΪ27cm3£®Í¨¹ý¼ÆËã¿ÉµÃºÏ½ð¿éµÄÃܶÈΪ3g/cm3£®
·ÖÎö £¨1£©µ÷½ÚÌìÆ½ºáÁºÆ½ºâʱ£¬×óÆ«ÓÒµ÷£¬ÓÒÆ«×óµ÷£¬ÏÈ¿ìºóÂý£»
£¨2£©ÎïÌåÖÊÁ¿ÎªíÀÂëÖÊÁ¿¼ÓÓÎÂë¶ÔÓ¦µÄ¿Ì¶ÈÖµ£»
£¨3£©ÎïÌå½þûÔÚË®ÖÐʱ£¬ÎïÌåµÄÌå»ýµÈÓÚÎïÌåÅÅ¿ªË®µÄÌå»ý£¬
ÏÈÇó³öÅÅ¿ªË®µÄÖÊÁ¿£¬ÖªµÀË®µÄÃܶȣ¬¸ù¾ÝÃܶȹ«Ê½Çó³öÎïÌåÅÅ¿ªË®µÄÌå»ý£¬¼´ÎïÌåµÄÌå»ý£¬
¸ù¾ÝÃܶȹ«Ê½¦Ñ=$\frac{m}{V}$Çó³öÎïÌåµÄÃܶȣ®
½â´ð ½â£º£¨1£©ºáÁº×ó¶ËµÍ¡¢ÓҶ˸ߣ¬ËµÃ÷Ö¸Õë×óÆ«£¬×óƫӦ½«Æ½ºâÂÝĸÏòÓÒÒÆ¶¯£®
£¨2£©ÓÉͼ1¿ÉÖª£¬íÀÂëµÄÖÊÁ¿Îª60g+20g+10g=80g£¬
³ÆÁ¿±ê³ßµÄ·Ö¶ÈֵΪ0.2g£¬ÓÎÂëÔÚ³ÆÁ¿±ê³ßÉ϶ÔÓ¦µÄ¿Ì¶ÈֵΪ1g£¬
ÔòºÏ½ð¿éµÄÖÊÁ¿m=80g+1g=81g£®
£¨3£©¿ÕÉÕ±µÄÖÊÁ¿m±=100g£¬ÉÕ±ºÍË®µÄÖÊÁ¿m×Ü=127g£¬
ÉÕ±ÖÐÒç³öË®µÄÖÊÁ¿mË®=m±-mË®=127g-100g=27g£¬
ÓɦÑ=$\frac{m}{V}$µÃ£¬
Òç³öË®µÄÌå»ýΪVË®=$\frac{{m}_{Ë®}}{{¦Ñ}_{Ë®}}$=$\frac{27g}{1g/c{m}^{3}}$=27cm3£¬
ÔòºÏ½ð¿éµÄÌå»ýV=VË®=27cm3£¬
ºÏ½ð¿éµÄÖÊÁ¿ÃܶÈΪ¦Ñ=$\frac{m}{V}$=$\frac{81g}{27c{m}^{3}}$=3g/cm3£®
¹Ê´ð°¸Îª£º£¨1£©ÓÒ£»£¨2£©81£»£¨3£©27£»3£®
µãÆÀ ±¾ÌâÊǹÌÌåÃܶȵIJâÁ¿ÊµÑ飬¿¼²éÁËÌìÆ½µÄʹÓü°¶ÁÊý£¬ÃܶȵļÆËãµÈ֪ʶ£¬½â´ð±¾ÌâµÄ¹Ø¼üÔÚûÓÐÁ¿Í²£¬ÎïÌåÌå»ýÎÞ·¨Ö±½Ó²âÁ¿£¬ÍùÍùÐèÒª½èÖúÓÚµÈÌå»ýµÄË®£¬²âÁ¿ÎïÌå½þûÔÚË®ÖÐʱÅÅ¿ªË®µÄÖÊÁ¿£¬Ë®µÄÃܶÈÊÇÒÑÖªµÄ£¬Çó³öÎïÌåÅÅ¿ªË®µÄÌå»ý£¬¼´ÎïÌåµÄÌå»ý£®Ñ§Éú¶ÔһЩ²âÁ¿ÃܶȵÄÌØÌØÊâ·½·¨Òª×¢ÒâÕÆÎÕ£¬±ÈÈ磺ÔÚûÓÐÌìÆ½£¬ÎïÌåÖÊÁ¿ÎÞ·¨Ö±½Ó²âÁ¿Ê±£¬ÀûÓÃÆ¯¸¡Ìõ¼þºÍ°¢»ùÃ×µÂÔÀíÇó³öÎïÌåµÄÖÊÁ¿£®
£¨1£©ÎªÁË̽¾¿µçÁ÷ͨ¹ýµç×è²úÉúµÄÈÈÁ¿ÓëµçÁ÷µÄ¹ØÏµ£¬Ð¡Ã÷Éè¼ÆÁ˼×ͼװÖã¬ÔÚÉÕÆ¿ÄÚ°²×°Ò»¸ùµç×èË¿£¬²¢²åÈëһ֧ζȼƣ¬¸ÃʵÑéͨ¹ý±È½ÏζȼÆÊ¾Êý±ä»¯£¬À´ÅжÏÏàͬʱ¼äÄÚ²»Í¬µçÁ÷²úÉúµÄÈÈÁ¿¶àÉÙ£®ÏÂÃæµÄ̽¾¿ÊµÀýÖУ¬Ò²ÊDzÉÓÃÕâÖÖÑо¿·½·¨µÄÊÇC£®
A£®Ì½¾¿µçÁ÷Óëµçѹ¡¢µç×èµÄ¹ØÏµ
B£®ÓÃ×ܵç×è±íʾͬһ¶Îµç·Öд®ÁªµÄÁ½¸öµç×è
C£®ÔÚ̽¾¿Ó°Ï춯ÄÜ´óСÒòËØµÄʵÑéÖУ¬Ð¡³µ¶¯ÄܵĴóСͨ¹ýľ¿éÒÆ¶¯µÄ¾àÀëÀ´±È½Ï£®
ʵÑéÖÐÉÕÆ¿ÄÚÒºÌåСÃ÷Ñ¡ÔñÁËúÓͶø²»ÊÇË®£¬ÕâÑùÑ¡ÔñµÄÀíÓÉÊÇúÓ͵ıÈÈÈС£¬ÎüÊÕÏàͬµÄÈÈÁ¿£¬Î¶ȱ仯±È½Ï´ó£®
£¨2£©Ð¡Ã÷ÏȲâÁ¿ÉÕÆ¿ÄÚÒºÌåµÄζȺ󣬱պϿª¹Ø£¬Í¨µç30sÔÙ²âÁ¿ÉÕÆ¿ÄÚÒºÌåµÄζȣ¬µÃµ½Î¶ȵÄÉý¸ßÁ¿ÌîÈë±íÖУ»È»ºóÒÆ¶¯»¬¶¯±ä×èÆ÷»¬Æ¬¸Ä±äµçÁ÷´óС£¬Öظ´ÉÏÊö²Ù×÷£¬»ñµÃµÚ¶þ×éÊý¾Ý£¨¼ûÏÂ±í£©£®
| ʵÑé´ÎÊý | µçÁ÷/A | ͨµçʱ¼ä/s | µç×è/¦¸ | ζÈÉý¸ßÁ¿/¡æ |
| 1 | 0.3 | 30 | 10 | 1.5 |
| 2 | 0.6 | 30 | 10 | 6.0 |
£¨3£©ÈôҪ̽¾¿µçÁ÷ͨ¹ýµç×è²úÉúÈÈÁ¿Óëµç×èµÄ¹ØÏµ£¬¿ÉÑ¡ÔñÒÒͼÖÐB£¨Ìî¡°A¡±»ò¡°B¡±£©ÉÕÆ¿Öеĵç×èÓëÖÐͼÖеÄÉÕÆ¿µç×è´®Áª£¨Ìî¡°´®Áª¡±»ò¡°²¢Áª¡±£©£®£¨±¾ÌâÖУ¬Èý¸öÉÕÆ¿ÖеÄÒºÌåÖÊÁ¿ÏàµÈ£©
£¨4£©Ð¡Ã÷ÌáÒéÀûÓÃÉÏÊöʵÑé×°ÖøÄ×ö¡°±È½ÏË®ºÍúÓͱÈÈÈÈݵĴóС¡±µÄʵÑ飬ÔòËûӦѡÔñÒÒͼÖÐA£¨Ìî¡°A¡±»ò¡°B¡±£©ÉÕÆ¿Óë¼×ͼÖеÄÉÕÆ¿²¢Áª£¬²¢½«ÆäÖÐÒ»ÉÕÆ¿ÖеÄÒºÌå»»³ÉÏàͬÖÊÁ¿µÄË®£¬Ë®ºÍúÓÍÎüÈȵĶàÉÙÊÇͨ¹ý¼ÓÈÈʱ¼ä£¨ÌζȼÆÊ¾Êý¡±»ò¡°¼ÓÈÈʱ¼ä¡±£©À´·´Ó³µÄ£®
| A£® | ÒÒͼÖÐʯ¿éÊܵ½µÄ¸¡Á¦Îª1.6N | |
| B£® | ʯ¿éÅÅ¿ªË®µÄÌå»ýÊÇ1.6¡Á10-3m3 | |
| C£® | ¸Ãʯ¿éµÄÃܶÈ2.5¡Á103kg/m3 | |
| D£® | ÓÉ´ËʵÑéÊý¾ÝµÃ³öµÄ½áÂÛÊÇ£ºF¸¡=GÅÅ |
£¨1£©ÈçͼÊÇËûʵÑéµÄµç·£¬µ«Á¬½Ó²»ÍêÕû£¬ÇëÄã°ïËûÍê³Éµç·µÄÁ¬½Ó£®
£¨2£©Á¬½Óµç·ʱ£¬¿ª¹ØÓ¦¶Ï¿ª£¬½«»¬¶¯±ä×èÆ÷µÄ»¬Æ¬ÒƵ½C¶Ë£¨Ñ¡Ìî¡°C¡±»ò¡°D¡±£©£®
£¨3£©Á¬½ÓÍêµç·ºó£¬±ÕºÏ¿ª¹Ø£¬Òƶ¯»¬Æ¬£¬·¢ÏֵƵÄÁÁ¶ÈÔڱ䣬µçÁ÷±íʾÊýÕý³£±ä»¯£¬µ«µçѹ±íʾÊýʼÖÕ²»±ä£®ÔÒòÊÇ£ºµçѹ±í²âÁ¿µÄÊǵçÔ´µçѹ£®
£¨4£©¾ÀÕýµç·Á¬½Ó´íÎóºó£¬ÊµÑéµÄÓйؼǼÓë¼ÆËãÈçÏÂ±í£º
| ʵÑé´ÎÊý | 1 | 2 | 3 |
| µçѹ£¨V£© | 1.50 | 2.20 | 2.50 |
| µçÁ÷£¨A£© | 0.16 | 0.22 | 0.24 |