ÌâÄ¿ÄÚÈÝ
15£®ÔÚ¡°²âÁ¿ÑÎË®µÄÃܶȡ±µÄ̽¾¿ÊµÑéÖУº£¨1£©Ä³Ð¡×éÉè¼ÆÁËÈçÏÂʵÑé²½Ö裺
¢Ù°ÑÌìÆ½·ÅÔÚË®Æ½Ì¨ÃæÉÏ£»
¢Ú½«ÓÎÂëÒÆÖÁÌìÆ½±ê³ß×ó¶ËµÄÁã¿Ì¶ÈÏß´¦£»
¢Û°Ñ×°ÓÐÊÊÁ¿ÑÎË®µÄÉÕ±·ÅÔÚÌìÆ½µÄ×óÅÌÖУ¬ÓÃÄ÷×ÓÏòÓÒÅÌÖÐÔö¡¢¼õíÀÂë²¢ÒÆ¶¯ÓÎÂëÖ±ÖÁÌìÆ½ºáÁºÆ½ºâ£¬¼ÇÏÂÑÎË®ºÍÉÕ±µÄÖÊÁ¿m£»
¢Ü½«Ò»²¿·ÖÑÎË®µ¹ÈëÁ¿Í²ÖУ¬¼ÇÏÂÁ¿Í²ÖÐÑÎË®µÄÌå»ýV£»
¢Ý¸ù¾Ý²âµÃµÄÊý¾Ý¼ÆËã³öÑÎË®µÄÃܶȦѣ®
£¨1£©ÒÔÉÏÉè¼ÆÔÚ¢Ú¡¢¢ÛÖ®¼äºÍ¢Ü¡¢¢ÝÖ®¼äȱÉÙÁ½¸öÖØÒª²½ÖèºÍij¸öÐèÒª²âÁ¿µÄÎïÀíÁ¿£¬ÇëÏêϸÐðÊöȱÉٵIJÙ×÷¹ý³ÌºÍÐèÒª²âÁ¿µÄÎïÀíÁ¿²¢¼Ó×¢×Öĸ£®
ÔÚ¢Ú¡¢¢ÛÖ®¼ä¼ÓÈëµÄ²½Ö裺µ÷½ÚÌìÆ½ºáÁºÁ½¶ËµÄƽºâÂÝĸÖÁÖ¸ÕëÖ¸ÔÚ·Ö¶ÈÅ̵ÄÖÐÏߣ¬Ê¹ºáÁºÆ½ºâ£»
Ôڢܡ¢¢ÝÖ®¼ä¼ÓÈëµÄ²½Ö裺ÓÃÌìÆ½²â³öÉÕ±ºÍÊ£ÓàÑÎË®µÄÖÊÁ¿m0£®
£¨2£©ÓòâµÃµÄÎïÀíÁ¿×Öĸ±íʾÑÎË®µÄÃܶȦÑ=$\frac{m-{m}_{0}}{V}$£®
£¨3£©ÇëÄã˵Ã÷²½Öè¢ÛÖеġ°ÊÊÁ¿¡±µÄÒªÇóÊÇÉÕ±ÖеÄÑÎË®²»Äܹý¶à£¬³¬³öÌìÆ½µÄÁ¿³Ì£¬µ«ÊÇÒ²²»ÄܹýÉÙ£¬·ñÔò²»ÄÜ´ïµ½µ¹ÈëÁ¿Í²ÖÐÑÎË®µÄÌå»ýÒªÇó
²½Öè¢ÜÖжԵ¹ÈëÁ¿Í²ÖÐÑÎË®µÄÌå»ý½¨ÒéÊÇΪ±ãÓÚ¼ÆËã´¦ÀíÊý¾Ý£¬µ¹ÈëÁ¿Í²µÄÑÎË®Ìå»ý×îºÃÊÇ10cm3¡¢20cm3µÈÕû¿Ì¶È£®
·ÖÎö £¨1£©ÌìÆ½Ê¹ÓÃǰµÄµ÷½Úƽºâ£º°ÑÌìÆ½·ÅÔÚˮƽ×ÀÃæÉÏ£¬°ÑÓÎÂëÒÆÖÁÌìÆ½±ê³ß×ó¶ËµÄÁã¿Ì¶ÈÏß´¦£¬µ÷½ÚºáÁºÁ½¶ËµÄƽºâÂÝĸ£¬Ê¹Ö¸ÕëÖ¸ÔÚ·Ö¶ÈÅ̵ÄÖÐÏß´¦£»
²âÁ¿ÒºÌåÃܶȲ½Ö裺Óõ÷ƽµÄÌìÆ½²âÁ¿³öÉÕ±ÓëÒºÌåµÄ×ÜÖÊÁ¿£¬½«²¿·ÖÒºÌåµ¹ÈëÁ¿Í²²âÁ¿³öÌå»ý£¬²âÁ¿Ê£ÓàÒºÌåÓëÉÕ±µÄ×ÜÖÊÁ¿£»
£¨2£©²âÁ¿³öÁËÑÎË®µÄÖÊÁ¿ºÍÌå»ý£¬ÀûÓÃÃܶȹ«Ê½ÇóÑÎË®µÄÃܶȣ»
£¨3£©¸ù¾ÝʵÑé¹ý³ÌÖÐÒºÌå¹ý¶à»ò¹ýÉÙÔì³ÉµÄÓ°Ïì·ÖÎö£»
£¨4£©ÎïÀíʵÑéÖжԿɿØÊý¾ÝÒ»°ãÉèÖÃΪÕûÊý£¬±ãÓÚºóÆÚµÄÊý¾Ý´¦Àí£®
½â´ð ½â£º
£¨1£©ÔÚÉÏÊöʵÑé²½ÖèÖУ¬Ê¹ÓÃÌìÆ½Ç°»¹Ã»Óе÷½ÚÌìÆ½Æ½ºâ£¬ËùÒÔÔÚÔÚ¢Ú¡¢¢ÛÖ±½Ó¼ÓÈëµÄ²½Ö裺µ÷½ÚºáÁºÁ½¶ËµÄƽºâÂÝĸ£¬Ê¹Ö¸ÕëÖ¸ÔÚ·Ö¶ÈÅ̵ÄÖÐÏß´¦£»
²â³öÁ¿Í²ÄÚÑÎË®µÄÌå»ý£¬»¹ÐèÒª²âÁ¿³öÁ¿Í²ÖÐÑÎË®µÄÖÊÁ¿£¬¼´×ÜÖÊÁ¿ÓëÊ£ÓàÑÎË®ÓëÉÕ±µÄÖÊÁ¿Ö®²î£¬ËùÒÔÔÚ¢Û¡¢¢ÜÖ®¼ä¼ÓÈëµÄ²½Ö裺ÓÃÌìÆ½²â³öÉÕ±ºÍÊ£ÓàÑÎË®µÄÖÊÁ¿m0£»
£¨2£©Á¿Í²ÖÐÑÎË®µÄÖÊÁ¿£ºmÑÎË®=m-m0£¬
ÑÎË®µÄÃܶȣº
¦Ñ=$\frac{{m}_{ÑÎË®}}{{V}_{ÑÎË®}}$=$\frac{m-{m}_{0}}{V}$£»
£¨3£©ÑÎË®µÄÖÊÁ¿Èç¹û¹ý¶à£¬¿ÉÄܻᳬ¹ýÌìÆ½µÄ³ÆÁ¿£»Èç¹û¹ýÉÙ£¬µ¹ÈëÁ¿Í²ºó²»±ãÓÚ²âÁ¿Ìå»ý£»
£¨4£©Îª±ãÓÚ¼ÆËã´¦ÀíÊý¾Ý£¬µ¹ÈëÁ¿Í²µÄÑÎË®Ìå»ý×îºÃÊÇ10 cm3¡¢20 cm3µÈÕû¿Ì¶È£®
¹Ê´ð°¸Îª£º
£¨1£©µ÷½ÚÌìÆ½ºáÁºÁ½¶ËµÄƽºâÂÝĸÖÁÖ¸ÕëÖ¸ÔÚ·Ö¶ÈÅ̵ÄÖÐÏߣ¬Ê¹ºáÁºÆ½ºâ£»ÓÃÌìÆ½²â³öÉÕ±ºÍÊ£ÓàÑÎË®µÄÖÊÁ¿m0£»
£¨2£©$\frac{m-{m}_{0}}{V}$£»
£¨3£©ÉÕ±ÖеÄÑÎË®²»Äܹý¶à£¬³¬³öÌìÆ½µÄÁ¿³Ì£¬µ«ÊÇÒ²²»ÄܹýÉÙ£¬·ñÔò²»ÄÜ´ïµ½µ¹ÈëÁ¿Í²ÖÐÑÎË®µÄÌå»ýÒªÇó£»
£¨4£©Îª±ãÓÚ¼ÆËã´¦ÀíÊý¾Ý£¬µ¹ÈëÁ¿Í²µÄÑÎË®Ìå»ý×îºÃÊÇ10 cm3¡¢20 cm3µÈÕû¿Ì¶È£®
µãÆÀ ±¾Ì⿼²éÌìÆ½µÄʹÓá¢Á¿Í²µÄʹÓᢹÌÌåÃܶȵIJâÁ¿£¬ÊôÓÚÖеµÌ⣮ӦעÒâÎÊÌâÓУº£¨1£©ÌìÆ½µÄÁ½´Îƽºâµ÷½Ú·½·¨Ò׻죻£¨2£©²âÁ¿ÐÎ×´²»¹æÔò¹ÌÌåµÄÌå»ýµÄ·½·¨£¨ÅÅË®·¨£©£®
| A£® | ÖØÁ¦ÊÆÄÜÏȱä´óºó±äС | B£® | ¶¯ÄÜÏȱä´óºó±äС | ||
| C£® | »úеÄÜÏȱä´óºó±äС | D£® | ×î¸ßµã´¦¶¯ÄÜΪÁã |
| A£® | Ô¶ÊÓ¾µÆ¬Öм䱡£¬±ßÔµºñ£¬Êǰ¼Í¸¾µ | |
| B£® | ½ºÆ¬ÕÕÏà»úÅÄÉãÎïÌåËù³ÉµÄÏñÒ»¶¨ÊÇʵÏñ | |
| C£® | ½üÊÓÑÛ²»´÷ÑÛ¾µÊ±³ÉµÄÏñÔÚÊÓÍøÄ¤µÄÇ°Ãæ | |
| D£® | ÓÃÍûÔ¶¾µ¹Û²ìÔ¶´¦µÄÎïÌ壬Îï¾µµÃµ½µÄÊÇ·Å´óµÄÏñ |
| A£® | ½Ì¿ÆÊéµÄÖÊÁ¿Ô¼Îª0.8Kg | |
| B£® | ÍÐÆð½Ì¿ÆÊéËùÓõÄÁ¦´óÔ¼ÊÇ8N | |
| C£® | ½Ì¿ÆÊ鯽·Åʱ£¬¶Ôˮƽ×ÀÃæµÄѹǿ´óÔ¼ÊÇ30Pa | |
| D£® | °Ñ½Ì¿ÆÊé¾Ù¹ýÍ·¶¥Ëù×öµÄ¹¦Ô¼Îª100J |
| A£® | ¼×ͼµ¯»É½«Ð¡³µÏòÓÒÍÆ¿ªµÄ¹ý³ÌÖУ¬µ¯»ÉµÄµ¯ÐÔÊÆÄÜ»áת»¯ÎªÐ¡³µµÄ¶¯ÄÜ | |
| B£® | ÒÒͼÖÐСÃ÷½Å²È»¬°å´Ó¸ß´¦ÏòÏ»¬¶¯Ô½À´Ô½¿ì£¬ÊÇÖØÁ¦ÊÆÄÜת»¯Îª¶¯ÄÜ | |
| C£® | ±ûͼÖеØÌúÁгµ½øÕ¾Ê±´ÓÆÂµ×»¬µ½ÆÂ¶¥¹ý³ÌÖУ¬ÖØÁ¦ÊÆÄÜת»¯Îª¶¯ÄÜ | |
| D£® | ¶¡Í¼ÖÐСÇò´ÓA°Úµ½O¡äʱ£¬ÖØÁ¦ÊÆÄÜת»¯Îª¶¯ÄÜ |
| A£® | ÓôòÆøÍ²¸øÂÖÌ¥´òÆø | B£® | ÓõιÜÎüȡҩҺ | ||
| C£® | ÓÃÎüÅ̹ҹ³¹ÒÎïÆ· | D£® | ÏòÍâÍÆÕë¹ÜÖÐÒ©Òº |
£¨1£©Ì½¾¿¶þÁ¦Æ½ºâµÄÌõ¼þ£º
| ×°Öà | Èçͼ£¬×óÓÒÁ½ÅÌ·ÅÖÊÁ¿ÏàµÈµÄíÀÂ룬С³µ±£³Ö¾²Ö¹£¬ | |
| ¹ý³Ì²½Öè | ¢Ù½«×óÅÌÖÐÔÙÌí¼ÓÒ»¸öíÀÂ룬С³µ½«Ô˶¯£¬ËµÃ÷±Ë´ËƽºâµÄÁ½¸öÁ¦´óСÏàµÈ£» ¢Ú½«Ð¡³µÅ¤×ªÒ»¸ö½Ç¶È£¬·ÅÊÖºóС³µ½«×ª¶¯£¬ËµÃ÷±Ë´ËƽºâµÄÁ½¸öÁ¦±ØÐëÔÚͬһÌõÖ±ÏßÉÏ£® Ç뻳öС³µÊÜÁ¦µÄʾÒâͼ | |
| ·½·¨ | ÕâÀïÓõ½µÄÖ÷ÒªÑо¿·½·¨¿ØÖƱäÁ¿ ·¨£® | |
| ¹ý³Ì ²½Öè | ¢ÙÓÃÌìÆ½³Æ³ö²£Á§±ºÍÊ£ÓàÑÎË®µÄ×ÜÖÊÁ¿m2£» ¢Ú½«²£Á§±ÀïµÄÒ»²¿·ÖÑÎË®µ¹ÈëÁ¿Í²ÖУ¬²â³öÆäÌå»ýV£» ¢ÛÔÚ²£Á§±ÖÐÊ¢ÊÊÁ¿µÄÑÎË®£¬ÓÃÌìÆ½³Æ³öËüÃǵÄ×ÜÖÊÁ¿m1£» ¢Ü½«m¡¢V´øÈ빫ʽÖУ¬Ëã³öÑÎË®µÄÃܶȦѣ» ¢Ý¸ù¾Ým1¡¢m2Ëã³öÁ¿Í²ÖÐÑÎË®µÄÖÊÁ¿m£® ÒÔÉϲ½Ö裬ÕýÈ·µÄ²Ù×÷˳ÐòÊÇ£º¢Û¢Ú¢Ù¢Ý¢Ü£¨ÌîÐòºÅ£©£® | ||||||||||||
| Êý¾Ý ±í¸ñ |
| ||||||||||||
| ·½·¨ | ÌìÆ½ºÍÁ¿Í²²âÃܶÈÓõ½×ª»»·¨ | ||||||||||||
| ÎÊÌâÌÖÂÛ | СÓêÓõ¯»É²âÁ¦¼Æ²â³öÁËÒ»¸öʯ¿éµÄÖØÁ¦¼ÇΪGºó£¬½«Ê¯¿é»ºÂý½þÈëµ½ÑÎË®µÄ¹ý³ÌÖУ¬·¢ÏÖµ¯»É²âÁ¦¼ÆÊ¾ÊýÖð½¥±äС£¬½þûʱµ¯»É²âÁ¦¼ÆÊ¾ÊýΪF£¬´Ëʱʯ¿éËùÊܵ½µÄ¸¡Á¦F¸¡=G-F£¬¶øÕâ¸ö¸¡Á¦µÄ´óСµÈÓÚʯ¿éËùÅÅ¿ªÑÎË®ËùÊܵ½µÄÖØÁ¦£® | ||||||||||||
| ×÷ͼ | Ç뻳öͼÖнðÊô¿éµÄÊÜÁ¦Ê¾Òâͼ£® | ||||||||||||