ÌâÄ¿ÄÚÈÝ
£¨1£©Ð¡Ã÷ͬѧÀûÓÃÈçÏÂÆ÷²Ä²âÁ¿ºÏ½ð¿éµÄÃܶȣºÍÐÅÌÌìƽ¡¢ÒçË®±¡¢ÉÕ±¡¢ºÏ½ð¿é¡¢×ãÁ¿µÄË®£®ÊµÑé²½ÖèÈçÏ£º
¢Ù°ÑÍÐÅÌÌìƽ·ÅÔÚˮƽ×ÀÃæÉÏ£¬½«ÓÎÂëÖÃÓÚ±ê³ßµÄÁã¿Ì¶È´¦£¬·¢ÏÖºáÁº×ó¶ËµÍ¡¢ÓҶ˸ߣ¬Ó¦½«Æ½ºâÂÝĸÏò________Òƶ¯£¨Ñ¡Ìî¡°×ó¡±»ò¡°ÓÒ¡±£©£¬Ê¹Ììƽƽºâ£®
¢Ú°ÑºÏ½ð¿é·ÅÈëÌìƽ×óÅÌ£¬ÔÚÓÒÅÌÄÚÔö¡¢¼õíÀÂ룬²¢µ÷½ÚÓÎÂ룬Ììƽƽºâºó£¬ÓÒÅÌÖÐËù·ÅíÀÂë¼°ÓÎÂëÔÚ±ê³ßÉϵÄλÖÃÈçͼËùʾ£¬ÔòºÏ½ð¿éµÄÖÊÁ¿Îª________g£®½Ó×ÅËûÓÖ²â³öÁË¿ÕÉÕ±µÄÖÊÁ¿Îª100g£®
¢Û½«ÊÊÁ¿µÄË®µ¹ÈëÒçË®±ÖУ¬ÈÃË®ÃæÓëÒçË®¿ÚÏàƽ£¬ÔÙ½«ºÏ½ð¿éÇáÇá·ÅÈëÒçË®±ÖУ¬½þûˮÖкóµÄºÏ½ð¿éËùÅÅ¿ªµÄˮȫ²¿Ê¢ÓÚ¿ÕÉÕ±ÖУ¬ÈçͼËùʾ£®ÓÃÌìƽ²âµÃ´Ëʱ ÉÕ±ºÍË®µÄÖÊÁ¿Îª127g£¬ÔòºÏ½ð¿éµÄÌå»ýΪ________cm3£®
¢Üͨ¹ý¼ÆËã¿ÉµÃºÏ½ð¿éµÄÃܶÈΪ________g/cm3£®
£¨2£©Ð¡Ã÷²Î¼ÓµÄʵÑéС×éÓÖÏë²â³öÒ»¿éÏðƤÄàµÄÃܶȣ¬µ«Ö»ÓÐÈçÏÂʵÑéÆ÷²Ä£ºÁ¿Í²¡¢Ë®ºÍÒ»¿éÏðƤÄ࣮ÒÑÖªÏðƤÄàµÄÃܶȴóÓÚË®µÄÃܶȣ¬Ë®µÄÃܶÈΪ¦ÑË®£®ÇëÄãÀûÓÃÕâЩʵÑéÆ÷²ÄΪËûÃÇÉè¼Æ³öÒ»¸öʵÑé·½°¸£¬²â³öÕâ¿éÏðƤÄàµÄÃܶȣ®ÒªÇó£ºÐ´³ö±ØÒªµÄʵÑé²½Ö裬²¢¸ù¾ÝʵÑé²½ÖèÖÐËù²âµÃµÄÎïÀíÁ¿Ð´³öÃܶȱí´ïʽ£®
A£®ÊµÑé²½Ö裺
¢Ù________£»
¢Ú________£»
¢Û________£®
B£®ÏðƤÄàÃܶȱí´ïʽ£º¦Ñ=________£®
½â£º£¨1£©¢ÙÌìƽµÄ×ó¶ËµÍ£¬ÓҶ˸ߣ¬Æ½ºâÂÝĸÏòÉÏÇ̵ÄÓÒ¶ËÒƶ¯£®
¢ÚºÏ½ð¿éÖÊÁ¿£ºm=50g+20g+10g+1g=81g£®
¢ÛºÏ½ð¿éÅÅ¿ªË®µÄÖÊÁ¿Îª£ºm'=127g-100g=27g£¬
ºÏ½ð¿é½þûÔÚË®ÖУ¬ºÏ½ð¿éµÄÌå»ýµÈÓÚÅÅ¿ªË®µÄÌå»ý£¬
ºÏ½ð¿éµÄÌå»ý£ºV=V'===27cm3£¬
¢ÜºÏ½ð¿éµÄÃܶÈΪ£º¦Ñ===3g/cm3£®
£¨2£©A£ºÊµÑé²½Ö裺¢ÙÔÚÁ¿Í²ÄÚµ¹ÈëÊÊÁ¿µÄË®£¬Ìå»ýΪV1£¬
¢Ú½«ÏðƤÄàÄó³É¿ÕÐÄ״Ư¸¡ÔÚË®ÖУ¬¹Û²ì´ËʱˮµÄÌå»ýV2£¬
¢Û½«ÏðƤÄàÄó³ÉʵÐÄ×´³ÁÔÚË®ÖУ¬¹Û²ì´ËʱˮµÄÌå»ýV3£®
B£ºÏðƤÄàƯ¸¡ÔÚË®ÃæÉÏ£¬ËùÒÔ£¬G=F¸¡£¬
¸ù¾Ý°¢»ùÃ×µÂÔÀíµÃ£¬F¸¡=GÅÅ£¬
ËùÒÔ£¬G=GÅÅ£¬
ËùÒÔ£¬mg=¦ÑË®gVÅÅ£¬
ÏðƤÄàµÄÖÊÁ¿Îª£ºm=¦ÑË®£¨V2-V1£©£¬
ÏðƤÄàµÄÌå»ýΪ£ºV=V3-V1£¬
ÏðƤÄàµÄÃܶÈΪ£º¦Ñ=£®
¹Ê´ð°¸Îª£º£¨1£©¢ÙÓÒ£»¢Ú81£»¢Û27£»¢Ü3£»
£¨2£©A£®ÊµÑé²½Ö裺
¢ÙÔÚÁ¿Í²ÄÚµ¹ÈëÊÊÁ¿µÄË®£¬Ìå»ýΪV1£¬
¢Ú½«ÏðƤÄàÄó³É¿ÕÐÄ״Ư¸¡ÔÚË®ÖУ¬¹Û²ì´ËʱˮµÄÌå»ýV2£¬
¢Û½«ÏðƤÄàÄó³ÉʵÐÄ×´³ÁÔÚË®ÖУ¬¹Û²ì´ËʱˮµÄÌå»ýV3£®
B£®ÏðƤÄàÃܶȱí´ïʽ£º¦Ñ=£®
·ÖÎö£º£¨1£©µ÷½ÚÌìƽºáÁºÆ½ºâʱ£¬ÌìƽµÄ×ó¶ËµÍ£¬ÓҶ˸ߣ¬Æ½ºâÂÝĸÏòÉÏÇ̵ÄÒ»¶ËÒƶ¯£®
ÎïÌåµÄÖÊÁ¿µÈÓÚíÀÂëÖÊÁ¿¼ÓÓÎÂë¶ÔÓ¦µÄ¿Ì¶ÈÖµ£®
ÎïÌå½þûÔÚË®ÖÐÎïÌåµÄÌå»ýµÈÓÚÎïÌåÅÅ¿ªË®µÄÌå»ý£¬Çó³öÅÅ¿ªË®µÄÖÊÁ¿£¬ÖªµÀË®µÄÃܶȣ¬¸ù¾ÝÃܶȹ«Ê½Çó³öÎïÌåÅÅ¿ªË®µÄÌå»ý£¬¼´ÎïÌåµÄÌå»ý£®
ÖªµÀÎïÌåµÄÖÊÁ¿ºÍÌå»ý£¬¸ù¾ÝÃܶȹ«Ê½Çó³öÎïÌåµÄÃܶȣ®
£¨2£©²âÁ¿ÏðƤÄàµÄÃܶȣ¬ÓÐË®ºÍÁ¿Í²ÄܲâÁ¿ÏðƤÄàµÄÌå»ý£¬»¹Òª²âÁ¿ÏðƤÄàµÄÖÊÁ¿£¬°ÑÏðƤÄàÄó³É¿ÕÐÄ×´£¬Ê¹ÏðƤÄàƯ¸¡ÔÚË®ÃæÉÏ£¬ÏðƤÄàµÄÖØÁ¦µÈÓÚÏðƤÄàÊܵ½µÄ¸¡Á¦£¬ÏðƤÄàµÄ¸¡Á¦µÈÓÚÏðƤÄàÅÅ¿ªË®µÄÖØÁ¦£¬Çó³öÏðƤÄàÅÅ¿ªË®µÄÖØÁ¦¼´¿É£®
µãÆÀ£º¹ÌÌåÃܶȵIJâÁ¿µÄ¼¸ÖÖ·½·¨£º
£¨1£©Ììƽֱ½ÓÄܲâÁ¿ÖÊÁ¿£¬Á¿Í²²âÁ¿Ìå»ý£¬ÊµÑéÊDZȽϼòµ¥µÄ£®
£¨2£©ÔÚûÓÐÁ¿Í²£¬ÎïÌåÌå»ýÎÞ·¨Ö±½Ó²âÁ¿£¬ÍùÍùÐèÒª½èÖúÓÚµÈÌå»ýµÄË®£¬²âÁ¿ÎïÌå½þûÔÚË®ÖÐʱÅÅ¿ªË®µÄÖÊÁ¿£¬Ë®µÄÃܶÈÊÇÒÑÖªµÄ£¬Çó³öÎïÌåÅÅ¿ªË®µÄÌå»ý£¬¼´ÎïÌåµÄÌå»ý£®
£¨3£©ÔÚûÓÐÌìƽ£¬ÎïÌåÖÊÁ¿ÎÞ·¨Ö±½Ó²âÁ¿Ê±£¬ÀûÓÃƯ¸¡Ìõ¼þºÍ°¢»ùÃ×µÂÔÀíÇó³öÎïÌåµÄÖÊÁ¿£®
¢ÚºÏ½ð¿éÖÊÁ¿£ºm=50g+20g+10g+1g=81g£®
¢ÛºÏ½ð¿éÅÅ¿ªË®µÄÖÊÁ¿Îª£ºm'=127g-100g=27g£¬
ºÏ½ð¿é½þûÔÚË®ÖУ¬ºÏ½ð¿éµÄÌå»ýµÈÓÚÅÅ¿ªË®µÄÌå»ý£¬
ºÏ½ð¿éµÄÌå»ý£ºV=V'===27cm3£¬
¢ÜºÏ½ð¿éµÄÃܶÈΪ£º¦Ñ===3g/cm3£®
£¨2£©A£ºÊµÑé²½Ö裺¢ÙÔÚÁ¿Í²ÄÚµ¹ÈëÊÊÁ¿µÄË®£¬Ìå»ýΪV1£¬
¢Ú½«ÏðƤÄàÄó³É¿ÕÐÄ״Ư¸¡ÔÚË®ÖУ¬¹Û²ì´ËʱˮµÄÌå»ýV2£¬
¢Û½«ÏðƤÄàÄó³ÉʵÐÄ×´³ÁÔÚË®ÖУ¬¹Û²ì´ËʱˮµÄÌå»ýV3£®
B£ºÏðƤÄàƯ¸¡ÔÚË®ÃæÉÏ£¬ËùÒÔ£¬G=F¸¡£¬
¸ù¾Ý°¢»ùÃ×µÂÔÀíµÃ£¬F¸¡=GÅÅ£¬
ËùÒÔ£¬G=GÅÅ£¬
ËùÒÔ£¬mg=¦ÑË®gVÅÅ£¬
ÏðƤÄàµÄÖÊÁ¿Îª£ºm=¦ÑË®£¨V2-V1£©£¬
ÏðƤÄàµÄÌå»ýΪ£ºV=V3-V1£¬
ÏðƤÄàµÄÃܶÈΪ£º¦Ñ=£®
¹Ê´ð°¸Îª£º£¨1£©¢ÙÓÒ£»¢Ú81£»¢Û27£»¢Ü3£»
£¨2£©A£®ÊµÑé²½Ö裺
¢ÙÔÚÁ¿Í²ÄÚµ¹ÈëÊÊÁ¿µÄË®£¬Ìå»ýΪV1£¬
¢Ú½«ÏðƤÄàÄó³É¿ÕÐÄ״Ư¸¡ÔÚË®ÖУ¬¹Û²ì´ËʱˮµÄÌå»ýV2£¬
¢Û½«ÏðƤÄàÄó³ÉʵÐÄ×´³ÁÔÚË®ÖУ¬¹Û²ì´ËʱˮµÄÌå»ýV3£®
B£®ÏðƤÄàÃܶȱí´ïʽ£º¦Ñ=£®
·ÖÎö£º£¨1£©µ÷½ÚÌìƽºáÁºÆ½ºâʱ£¬ÌìƽµÄ×ó¶ËµÍ£¬ÓҶ˸ߣ¬Æ½ºâÂÝĸÏòÉÏÇ̵ÄÒ»¶ËÒƶ¯£®
ÎïÌåµÄÖÊÁ¿µÈÓÚíÀÂëÖÊÁ¿¼ÓÓÎÂë¶ÔÓ¦µÄ¿Ì¶ÈÖµ£®
ÎïÌå½þûÔÚË®ÖÐÎïÌåµÄÌå»ýµÈÓÚÎïÌåÅÅ¿ªË®µÄÌå»ý£¬Çó³öÅÅ¿ªË®µÄÖÊÁ¿£¬ÖªµÀË®µÄÃܶȣ¬¸ù¾ÝÃܶȹ«Ê½Çó³öÎïÌåÅÅ¿ªË®µÄÌå»ý£¬¼´ÎïÌåµÄÌå»ý£®
ÖªµÀÎïÌåµÄÖÊÁ¿ºÍÌå»ý£¬¸ù¾ÝÃܶȹ«Ê½Çó³öÎïÌåµÄÃܶȣ®
£¨2£©²âÁ¿ÏðƤÄàµÄÃܶȣ¬ÓÐË®ºÍÁ¿Í²ÄܲâÁ¿ÏðƤÄàµÄÌå»ý£¬»¹Òª²âÁ¿ÏðƤÄàµÄÖÊÁ¿£¬°ÑÏðƤÄàÄó³É¿ÕÐÄ×´£¬Ê¹ÏðƤÄàƯ¸¡ÔÚË®ÃæÉÏ£¬ÏðƤÄàµÄÖØÁ¦µÈÓÚÏðƤÄàÊܵ½µÄ¸¡Á¦£¬ÏðƤÄàµÄ¸¡Á¦µÈÓÚÏðƤÄàÅÅ¿ªË®µÄÖØÁ¦£¬Çó³öÏðƤÄàÅÅ¿ªË®µÄÖØÁ¦¼´¿É£®
µãÆÀ£º¹ÌÌåÃܶȵIJâÁ¿µÄ¼¸ÖÖ·½·¨£º
£¨1£©Ììƽֱ½ÓÄܲâÁ¿ÖÊÁ¿£¬Á¿Í²²âÁ¿Ìå»ý£¬ÊµÑéÊDZȽϼòµ¥µÄ£®
£¨2£©ÔÚûÓÐÁ¿Í²£¬ÎïÌåÌå»ýÎÞ·¨Ö±½Ó²âÁ¿£¬ÍùÍùÐèÒª½èÖúÓÚµÈÌå»ýµÄË®£¬²âÁ¿ÎïÌå½þûÔÚË®ÖÐʱÅÅ¿ªË®µÄÖÊÁ¿£¬Ë®µÄÃܶÈÊÇÒÑÖªµÄ£¬Çó³öÎïÌåÅÅ¿ªË®µÄÌå»ý£¬¼´ÎïÌåµÄÌå»ý£®
£¨3£©ÔÚûÓÐÌìƽ£¬ÎïÌåÖÊÁ¿ÎÞ·¨Ö±½Ó²âÁ¿Ê±£¬ÀûÓÃƯ¸¡Ìõ¼þºÍ°¢»ùÃ×µÂÔÀíÇó³öÎïÌåµÄÖÊÁ¿£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿