ÌâÄ¿ÄÚÈÝ
¡°ÓÃÌìƽºÍÁ¿Í²²â¶¨ÑÎË®µÄÃܶȡ±ÊµÑéµÄ¼¸¸ö²½ÖèÈçÏ£º
A£®³Æ³ö²£Á§±ºÍ±ÖÐÊ£ÏÂÑÎË®µÄÖÊÁ¿Îªm2£»
B£®ÔÚ²£Á§±ÖÐÊ¢ÑÎË®£¬³Æ³öËüÃǵÄÖÊÁ¿m1£»
C£®µ÷½ÚÌìƽʹÌìƽƽºâ£»
D£®°Ñ²£Á§±ÖеÄÑÎË®µ¹ÈëÁ¿Í²ÖÐÒ»²¿·Ö£¬¼ÇÏÂÁ¿Í²ÖÐÑÎË®µÄÌå»ýV£»
¢ÙÇ뽫ÒÔÉÏʵÑé²½Öè°´ºÏÀíÅÅÐò£¬Æä˳ÐòΪ
¢Ú¸ù¾ÝÉÏÊö²½ÖèÖеÄÊý¾Ým1¡¢m2¡¢V£¬¿ÉÇó³öÑÎË®µÄÃܶÈ
A£®³Æ³ö²£Á§±ºÍ±ÖÐÊ£ÏÂÑÎË®µÄÖÊÁ¿Îªm2£»
B£®ÔÚ²£Á§±ÖÐÊ¢ÑÎË®£¬³Æ³öËüÃǵÄÖÊÁ¿m1£»
C£®µ÷½ÚÌìƽʹÌìƽƽºâ£»
D£®°Ñ²£Á§±ÖеÄÑÎË®µ¹ÈëÁ¿Í²ÖÐÒ»²¿·Ö£¬¼ÇÏÂÁ¿Í²ÖÐÑÎË®µÄÌå»ýV£»
¢ÙÇ뽫ÒÔÉÏʵÑé²½Öè°´ºÏÀíÅÅÐò£¬Æä˳ÐòΪ
CBDA
CBDA
£»¢Ú¸ù¾ÝÉÏÊö²½ÖèÖеÄÊý¾Ým1¡¢m2¡¢V£¬¿ÉÇó³öÑÎË®µÄÃܶÈ
¦Ñ=
m1-m2 |
V |
¦Ñ=
£®m1-m2 |
V |
·ÖÎö£º£¨1£©²âÁ¿ÑÎË®µÄÃܶȣ¬¸ù¾ÝÃܶȼÆË㹫ʽ¦Ñ=
£¬Òª´Ó²âÁ¿ÑÎË®ÖÊÁ¿ºÍÑÎË®Ìå»ýÈëÊÖ£»
£¨2£©³£¹æ×ö·¨ÊÇ£¬¢ÙÏȲâ¿ÕÉÕ±ÖÊÁ¿m1£¬ÔÙ½«ÑÎË®µ¹ÈëÉÕ±Öвâ³ö×ÜÖÊÁ¿m2£»
¢ÚÈ»ºó°ÑÉÕ±ÖеÄÑÎˮȫ²¿µ¹ÈëÁ¿Í²ÖУ¬¼ÇÏÂÑÎË®µÄÌå»ýV£»
¢Û¸ù¾Ý¹«Ê½¦Ñ=
Çó³öÑÎË®Ãܶȣ»
£¨3£©ÉÏÊö·½·¨ÖУ¬ÉÕ±ÖеÄÑÎË®µ¹ÈëÁ¿Í²ÖÐʱ£¬ÓÉÓÚÉÕ±±ÚÕ³ÒºÌ壬²»ÄÜÈ«²¿µ¹ÈëÁ¿Í²£¬Ôì³ÉÌå»ý²»×¼´øÀ´Îó²î£¬Îª±ÜÃâ´ËÎÊÌ⣬µ÷ÕûÖÊÁ¿ºÍÌå»ýµÄ²âÁ¿Ë³Ðò¾Í²»´æÔÚÈÝÆ÷±ÚÕ³ÑÎË®¶øÓ°ÏìÃܶÈÖµµÄÎÊÌ⣮
m |
V |
£¨2£©³£¹æ×ö·¨ÊÇ£¬¢ÙÏȲâ¿ÕÉÕ±ÖÊÁ¿m1£¬ÔÙ½«ÑÎË®µ¹ÈëÉÕ±Öвâ³ö×ÜÖÊÁ¿m2£»
¢ÚÈ»ºó°ÑÉÕ±ÖеÄÑÎˮȫ²¿µ¹ÈëÁ¿Í²ÖУ¬¼ÇÏÂÑÎË®µÄÌå»ýV£»
¢Û¸ù¾Ý¹«Ê½¦Ñ=
m |
V |
£¨3£©ÉÏÊö·½·¨ÖУ¬ÉÕ±ÖеÄÑÎË®µ¹ÈëÁ¿Í²ÖÐʱ£¬ÓÉÓÚÉÕ±±ÚÕ³ÒºÌ壬²»ÄÜÈ«²¿µ¹ÈëÁ¿Í²£¬Ôì³ÉÌå»ý²»×¼´øÀ´Îó²î£¬Îª±ÜÃâ´ËÎÊÌ⣬µ÷ÕûÖÊÁ¿ºÍÌå»ýµÄ²âÁ¿Ë³Ðò¾Í²»´æÔÚÈÝÆ÷±ÚÕ³ÑÎË®¶øÓ°ÏìÃܶÈÖµµÄÎÊÌ⣮
½â´ð£º½â£º£¨1£©Ïȵ÷½ÚÌìƽƽºâ£¬Îª¼õСÎó²î£¬ÏȲâÁ¿ÑÎË®ºÍ±×ÓµÄ×ÜÖÊÁ¿m1£¬È»ºó°Ñ²£Á§±ÖеÄÑÎË®µ¹ÈëÁ¿Í²ÖÐÒ»²¿·Ö£¬¼ÇÏÂÁ¿Í²ÖÐÑÎË®µÄÌå»ýV£¬ÔÖ²âÁ¿²£Á§±ºÍ±ÖÐÊ£ÏÂÑÎË®µÄÖÊÁ¿Îªm2£»
£¨2£©ÓÉÕýȷ˳Ðò£¬Á¿Í²ÖÐÑÎË®µÄÖÊÁ¿Îªm=m1-m2£¬Á¿Í²ÖÐÑÎË®µÄÌå»ýΪV£¬Òò´ËÑÎË®Ãܶȵıí´ïʽÊǦÑ=
£®
¹Ê´ð°¸Îª£º£¨1£©CBDA£»£¨2£©¦Ñ=
£®
£¨2£©ÓÉÕýȷ˳Ðò£¬Á¿Í²ÖÐÑÎË®µÄÖÊÁ¿Îªm=m1-m2£¬Á¿Í²ÖÐÑÎË®µÄÌå»ýΪV£¬Òò´ËÑÎË®Ãܶȵıí´ïʽÊǦÑ=
m1-m2 |
V |
¹Ê´ð°¸Îª£º£¨1£©CBDA£»£¨2£©¦Ñ=
m1-m2 |
V |
µãÆÀ£º£¨1£©ÀûÓÃʵÑé²âÁ¿ÎïÖʵÄÃܶÈÀúÀ´ÊÇÖп¼µÄÖص㣬ÔÚʵÑéÊÒÖУ¬ÖÊÁ¿ÓÃÌìƽÀ´²â£¬Ìå»ý²âÁ¿ÍùÍùÐèÓÃÁ¿Í²ºÍÁ¿±£¬Ó¦µ±ÕÆÎÕÌìƽºÍÁ¿Í²µÄÕýȷʹÓúͶÁÊý£»
£¨2£©ÏȲâ¿ÕÉÕ±ÖÊÁ¿£¬½«ÒºÌåµ¹ÈëÉÕ±²â³öÒºÌåÉÕ±×ÜÖÊÁ¿£¬ÔÙ½«ÒºÌåµ¹ÈëÁ¿Í²²âÌå»ý£¬ÕâÖÖ×ö·¨ÒòÉÕ±±ÚÕ³ÒºÌ壬²â³öµÄÌå»ýƫС£¬Ëã³öµÄÃܶÈÆ«´ó£®
£¨2£©ÏȲâ¿ÕÉÕ±ÖÊÁ¿£¬½«ÒºÌåµ¹ÈëÉÕ±²â³öÒºÌåÉÕ±×ÜÖÊÁ¿£¬ÔÙ½«ÒºÌåµ¹ÈëÁ¿Í²²âÌå»ý£¬ÕâÖÖ×ö·¨ÒòÉÕ±±ÚÕ³ÒºÌ壬²â³öµÄÌå»ýƫС£¬Ëã³öµÄÃܶÈÆ«´ó£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿