ÌâÄ¿ÄÚÈÝ
¡¾ÌâÄ¿¡¿Ð¡Ã÷ÔÚ̽¾¿¸Ü¸ËµÄƽºâÌõ¼þµÄʵÑéÖУ¬ÒԸܸËÖеãΪ֧µã£®
£¨1£©ÔÚµ÷½Ú¸Ü¸Ëƽºâʱ£¬Ð¡Ã÷·¢ÏָܸËÓҶ˵Í×ó¶Ë¸ß£¬ÒªÊ¹ËüÔÚˮƽλÖÃƽºâ£¬Ó¦½«¸Ü¸ËÓҶ˵ÄƽºâÂÝĸÏò £¨A¡¢×ó/B¡¢ÓÒ£©µ÷½Ú£®
£¨2£©Èçͼ¼×Ëùʾ£¬¸Ü¸ËÔÚˮƽλÖÃƽºâ£¬¼Ç¼Êý¾Ý£®¸ù¾ÝÕâÒ»´ÎʵÑéÊý¾Ý£¬Ð¡Ã÷Á¢¼´·ÖÎöµÃ³ö¸Ü¸ËµÄƽºâÌõ¼þ£¬Ð¡Ã÷ÕâÖÖ×ö·¨µÄ²»×ãÊÇ£º £®
£¨3£©ÈçͼÒÒËùʾ£¬Ð¡Ã÷Éè¼ÆÁËÁ½ÖÖʵÑé·½°¸£ºµÚÒ»ÖÖµ¯»É²âÁ¦¼ÆÑØÊúÖ±·½ÏòÀ£¬Æä¶ÁÊýΪF1£»µÚ¶þÖÖµ¯»É²âÁ¦¼ÆÇãбÀ£¬Æä¶ÁÊýΪF2£®µÚ £¨Ò»/¶þ£©ÖÖʵÑé·½°¸¸ü·½±ã£¬ÀíÓÉÊÇ£º £®Á½´Îµ¯»É²âÁ¦¼Æ¶ÁÊýF1 £¼ £¨£¼/=/£¾£©F2£®
£¨4£©¸Ü¸Ë²»´¦ÓÚˮƽλÖÃÄÜ·ñƽºâ£¿Ð¡º£ºÍСºìÒâ¼û²»Í¬£®Ð¡º£ÈÏΪÄÜƽºâ£¬ÓÚÊÇËûÿ´ÎÈøܸËÇãбʱ¾²Ö¹£¬ÕâÑùʵÑéÒ²µÃ³öÁËͬÑùµÄ¸Ü¸ËƽºâÌõ¼þ£®Ð¡º£ÈÏΪ¸Ü¸Ëƽºâ²»Ò»¶¨ÊÇˮƽµÄ£¬ÕâÖÖ˵·¨¶ÔÂ𣿠£¨¶Ô/´í£©£¬Ð¡ºì×ÐϸÑо¿ºó·¢ÏÖ×Ô¼ºµÄÔÚˮƽλÖÃʵÑéµÄ·½°¸±ÈСº£ºÃ£¬ÇëÄã˵³öСºìµÄÀíÓÉ£º £®
£¨5£©ÊµÑé½áÊøºó£¬Ð¡Ã÷Ìá³öÁËеÄ̽¾¿ÎÊÌ⣺¡°ÈôÖ§µã²»Ôڸܸ˵ÄÖеãʱ£¬¸Ü¸ËµÄƽºâÌõ¼þÊÇ·ñÈÔÈ»³ÉÁ¢£¿¡±ÓÚÊÇС×éͬѧÀûÓÃÈçͼ±ûËùʾװÖýøÐÐ̽¾¿£¬·¢ÏÖÔڸܸË×ó¶ËµÄ²»Í¬Î»Öã¬Óõ¯»É²âÁ¦¼ÆÊúÖ±ÏòÉÏÀʹ¸Ü¸Ë´¦ÓÚˮƽƽºâʱ£¬²â³öµÄÀÁ¦´óС¶¼Óë¸Ü¸ËƽºâÌõ¼þ²»Ïà·û£®ÆäÔÒò¿ÉÄÜÊÇ£º £®
£¨6£©Ä³Í¬Ñ§ÏëÀûÓøܸ˵ÄƽºâÌõ¼þÀ´²âÁ¿¿Ì¶È³ßµÄÖÊÁ¿£®ÊµÑé²½ÖèÈçÏ£º
²½ÖèÒ»£º½«¿Ì¶È³ßƽ·ÅÔÚÖ§×ùÉÏ£¬×óÓÒÒƶ¯¿Ì¶È³ß£¬ÕÒ³öÄܹ»Ê¹¿Ì¶È³ßÔÚˮƽλÖñ£³ÖƽºâµÄÖ§µãλÖ㬼ÇÏÂÕâ¸öλÖÃA£¬Ëü¾ÍÊÇ¿Ì¶È³ßµÄ £»²½Öè¶þ£ºÈçͼ¶¡Ëùʾ£¬½«ÖÊÁ¿ÎªM1µÄÎïÌå¹ÒÔڿ̶ȳß×ó±ßijһλÖã¬Ïò £¨×ó/ÓÒ£©Òƶ¯¿Ì¶È³ß£¬Ö±µ½¿Ì¶È³ßÄܹ»ÔÚÖ§×ùÉÏÖØб£³Öˮƽƽºâ£®ÎïÌåÐü¹Òµãµ½Ö§×ùµÄ¾àÀëL1ºÍ¿Ì¶È³ßµÄAµãµ½Ö§×ùµÄ¾àÀëL2£»²½ÖèÈý£º¸ù¾Ý¸Ü¸ËµÄƽºâÌõ¼þ£¬¿ÉÒÔ¼ÆËã³ö¿Ì¶È³ßµÄÖÊÁ¿m= £¨ÓÃÌâÄ¿ÖÐËù¸øÎïÀíÁ¿±íʾ£©£®
¡¾´ð°¸¡¿£¨1£©A£»£¨2£©½öƾһ´ÎʵÑéµÄÊý¾ÝµÃ³öµÄ½áÂÛ¾ßÓÐżȻÐÔ£»£¨3£©Ò»£»±ãÓÚÖ±½Ó¶Á³öÁ¦±Û£»£¼£¨4£©¶Ô£»±ãÓÚÖ±½Ó¶Á³öÁ¦±Û£»£¨5£©¸Ü¸ËµÄ×ÔÖØÓ°ÏìÁ˸ܸËƽºâÌõ¼þµÄ̽¾¿£»£¨6£©ÖØÐÄ£»ÓÒ£»£®
¡¾½âÎö¡¿
ÊÔÌâ·ÖÎö£º£¨1£©ÔÚµ÷½Ú¸Ü¸Ëƽºâʱ£¬Ó¦½«Æ½ºâÂÝĸÏò½Ï¸ßµÄÒ»¶Ëµ÷½Ú£»ÎªÁ˱ãÓÚ²âÁ¿Á¦±Û£¬Ó¦Ê¹¸Ü¸ËÔÚˮƽλÖÃƽºâ£»
£¨2£©³õÖÐÎïÀíÓÃʵÑé̽¾¿ÎïÀíÎÊÌâʱҪ½øÐжà´ÎʵÑ飬ÓеÄÊÇΪÁ˶à´Î²âÁ¿Çóƽ¾ùÖµÀ´¼õСÎó²î£»ÓеÄÊǶà´Î²âÁ¿·¢Ïֱ仯¹æÂÉ£»ÓеÄÊÇΪÁËʹʵÑé½áÂÛ¾ßÓÐÆÕ±éÐÔ£»
£¨3£©¸Ü¸ËµÄƽºâÌõ¼þÊÇ£ºF1L1=F2L2£»Ì½¾¿¸Ü¸ËƽºâÌõ¼þʱ£¬Ê¹¸Ü¸ËÔÚˮƽλÖÃƽºâ£¬´ËʱÁ¦µÄ·½ÏòÓë¸Ü¸Ë´¹Ö±£¬Á¦±ÛµÄ³¤¶È¿ÉÒÔÖ±½Ó´Ó¸Ü¸ËÉ϶Á³öÀ´£»
£¨4£©¸Ü¸ËÔÚˮƽλÖÃƽºâʱ£¬Á¦µÄ·½ÏòÓë¸Ü¸Ë´¹Ö±£¬Á¦±ÛµÄ³¤¶È¿ÉÒÔÖ±½Ó´Ó¸Ü¸ËÉ϶Á³öÀ´£®
£¨5£©¸Ü¸ËµÄÖØÁ¦¶Ô¸Ü¸ËÄܲúÉúÓ°Ï죮
£¨6£©´ËÌâµÄ¹Ø¼üÔÚÓÚÕÒ³öÖÐÐÄ£¬²¢ÖªµÀµÚ¶þ´Îƽºâºó£¬ÖÐÐĵ½Ö§µãµÄλÖÃΪֱ³ßÖØÁ¦µÄÁ¦±Û£¬¸ù¾Ý¸Ü¸ËƽºâµÄÌõ¼þ¿ÉÇó³öÖ±³ßµÄÖÊÁ¿£®
½â£º£¨1£©ÓҶ˵Í×ó¶Ë¸ß£¬Ó¦½«Æ½ºâÂÝĸÏò½Ï¸ßµÄÒ»¶Ëµ÷½Ú£¬Ó¦½«¸Ü¸ËÓҶ˵ÄƽºâÂÝĸÏò×ó¶Ëµ÷½Ú£¬Ê¹¸Ü¸ËÔÚˮƽλÖÃƽºâ£»
£¨2£©Ö»ÓÐÒ»´ÎʵÑé×ܽáʵÑé½áÂÛÊDz»ºÏÀíµÄ£¬Ò»´ÎʵÑéºÜ¾ßÓÐżȻÐÔ£¬Òª¶à½øÐм¸´ÎʵÑ飬±ÜÃâżȻÐÔ£»
£¨3£©Á¦±ÛµÈÓÚÖ§µãµ½Á¦µÄ×÷ÓÃÏߵľàÀ룬µ±¸Ü¸ËÔÚˮƽλÖÃƽºâʱ£¬Á¦µÄ·½ÏòÓë¸Ü¸Ë´¹Ö±£¬Á¦±Û¿ÉÒԴӸܸ˱ê³ß¿Ì¶ÈÉÏÖ±½Ó¶Á³öÀ´£¬Òò´ËµÚÒ»ÖÖʵÑé·½°¸¸ü·½±ã£¬´Ëʱµ¯»É²âÁ¦¼ÆµÄÀÁ¦Óë¸Ü¸Ë´¹Ö±£¬ÄܴӸܸËÉÏÖ±½Ó¶ÁÁ¦±Û£»ÒòΪµÚÒ»·½°¸µÄ¶¯Á¦±ÛÒª´óÓÚµÚ¶þÖÖ·½°¸µÄ¶¯Á¦±Û£¬¸ù¾Ý¸Ü¸ËµÄƽºâÌõ¼þ£¬ÔÚ×èÁ¦ºÍ×èÁ¦±Û¶¼ÏàͬµÄÇé¿öÏ£¬¶¯Á¦±ÛÔ½´óµÄԽʡÁ¦£¬ËùÒÔ£¬F1£¼F2£»
£¨4£©¸Ü¸Ë´¦ÓÚ¾²Ö¹×´Ì¬»òÔÈËÙת¶¯×´Ì¬¶¼½Ð¸Ü¸Ëƽºâ£¬ËùÒÔСº£µÄ˵·¨ÊǶԵģ»
Á¦±ÛµÈÓÚÖ§µãµ½Á¦µÄ×÷ÓÃÏߵľàÀ룬ÔÚСºìµÄʵÑé·½°¸ÖУ¬µ±¸Ü¸ËÔÚˮƽλÖÃƽºâʱ£¬Á¦µÄ·½ÏòÓë¸Ü¸Ë´¹Ö±£¬Á¦±Û¿ÉÒԴӸܸ˱ê³ß¿Ì¶ÈÉÏÖ±½Ó¶Á³öÀ´£®¶øСº£ÊµÑé·½°¸ÖеÄÁ¦±Û²»±ãÓÚ²âÁ¿£¬ËùÒÔ£¬Ð¡ºìµÄʵÑé·½°¸ºÃ£®
£¨5£©Í¼±ûÖУ¬¸Ü¸ËµÄÖØÐIJ»ÔÚÖ§µãÉÏ£¬¸Ü¸ËµÄÖØÁ¦¶Ô¸Ü¸Ë²úÉúÁËÓ°Ï죬µ¼Ö²â³öµÄÀÁ¦´óС¶¼Óë¸Ü¸ËƽºâÌõ¼þ²»Ïà·û£®
£¨6£©²½ÖèÒ»£º´ÓЧ¹ûÉÏ¿´£¬ÎÒÃÇ¿ÉÒÔÈÏΪ¸÷²¿·ÖÊܵ½µÄÖØÁ¦×÷Óü¯ÖÐÓÚÒ»µã£¬ÕâÒ»µã½Ð×öÎïÌåµÄÖØÐÄ£®µ±Ö±³ßƽ·ÅÔÚµ¶¿Ú£¨Ö§µã£©ÉÏ£¬Æ½ºâºó£¬´Ë´¦ÎªÖØÐÄ£»
²½Öè¶þ£ºÓÉÓÚÔÀ´´¦ÓÚƽºâ£¬½«ÖÊÁ¿ÎªM1µÄÎïÌå¹ÒÔڿ̶ȳß×ó±ßijһλÖã¬Ôò¸Ü¸Ë»á×ó¶ËϽµ£¬
ËùÒÔ¸ù¾ÝF1L1ÓëF2L2¿ÉÖª£ºÔÚF1¡¢L2²»±äµÄÌõ¼þÏ£¬ÐèÒªÔö¼ÓL2£¬L1¼õС£¬¼´ÏòÓÒÒƶ¯¿Ì¶È³ß£®
²½ÖèÈý£º¸ù¾Ý¸Ü¸ËƽºâµÄÌõ¼þ¶¯Á¦¡Á¶¯Á¦±Û=×èÁ¦¡Á×èÁ¦±Û£¬¿ÉÖªG1L1=G¡ÁL2£¬
¼´M1gL1=mgL2£¬
ËùÒÔÖ±³ßµÄÖÊÁ¿m=£®
¹Ê´ð°¸Îª£º£¨1£©A£»£¨2£©½öƾһ´ÎʵÑéµÄÊý¾ÝµÃ³öµÄ½áÂÛ¾ßÓÐżȻÐÔ£»£¨3£©Ò»£»±ãÓÚÖ±½Ó¶Á³öÁ¦±Û£»£¼£¨4£©¶Ô£»±ãÓÚÖ±½Ó¶Á³öÁ¦±Û£»£¨5£©¸Ü¸ËµÄ×ÔÖØÓ°ÏìÁ˸ܸËƽºâÌõ¼þµÄ̽¾¿£»£¨6£©ÖØÐÄ£»ÓÒ£»£®
![](http://thumb2018.1010pic.com/images/loading.gif)