ÌâÄ¿ÄÚÈÝ
19£®Ð¡Ã÷ÓÃÒ»¸ö͹͸¾µ¼°Ïà¹ØÆ÷²Ä£¬Ì½¾¿Í¹Í¸¾µµÄ³ÉÏñ¹æÂÉ£®£¨1£©ÊµÑéʱÒÀ´Î°ÑÀ¯Öò¡¢Í¹Í¸¾µ¡¢¹âÆÁ·ÅÔÚ¹â¾ß×ùÉÏ£¬µ÷ÕûËûÃǵÄÖÐÐÄ´óÖÂÔÚͬһ¸ß¶È£¬ÕâÑù×öµÄÄ¿µÄÊÇʹÖòÑæµÄÏñ³ÉÔÚ¹âÆÁÖÐÑ룮
£¨2£©Ò»ÊøÆ½ÐйâÉäÏò͹͸¾µ£¬¹âÆÁÉϵõ½Ò»¸ö×îÁÁµÄ¹â°ßÈçͼËùʾ£®Ôò¸Ã͹͸¾µµÄ½¹¾àΪ10.0cm£¬³ý´ËÖ®Í⻹¿ÉÒÔÓóɵ¹Á¢µÈ´óʵÏñʱ£¬Îï¾àµÈÓÚ2±¶½¹¾à·½·¨²â½¹¾à£®
£¨3£©Ð¡Ã÷°ÑÀ¯Öò¡¢Í¹Í¸¾µ¼°¹âÆÁ·ÅÔÚ¹â¾ß×ùÉÏ£¬ÒªÊ¹ÖòÑæµÄÏñÄܳÉÔÚ¹âÆÁµÄÖÐÑ룬Ӧ½«Í¹Í¸¾µÏòÏ£¨Ìî¡°ÉÏ¡±»ò¡°Ï¡±£©µ÷Õû£»
£¨4£©ÉÏÊöÆ÷²Ä¾Ð¡Ã÷ÕýÈ·²Ù×÷ºó£¬µ÷Õû¹âÆÁ¿´µ½ÁËÏñ£¬²¢½«¹Û²âÇé¿ö¼Ç¼ÔÚϱíÖеÄʵÑéÐòºÅ1ÖУ®Õâ´ÎʵÑéµÄÎï¾àÊÇ45cm£»ÏñµÄÐÔÖÊÊǵ¹Á¢¡¢ËõСµÄʵÏñ£®Ð¡Ã÷ÀûÓÃÆ÷²ÄÒ»¹²Íê³ÉÁË5´ÎʵÑ飬ÔÚʵÑéÐòºÅ5ÖУ¬Ëû©дÁËÏñµÄÐÔÖÊ£®ÔÚµÚ5´ÎµÄʵÑéÖУ¬ÏñµÄÐÔÖÊÊdzÉÕýÁ¢¡¢·Å´óµÄÐéÏñ£®
£¨5£©µ±Îï¾àСÓÚ½¹¾àʱ£¬×óÓÒÒÆ¶¯¹âÆÁ¾ù½ÓÊÕ²»µ½Ïñ£¬½Ó×ÅÓ¦¸ÃC£®
AÉÏÏÂÒÆ¶¯¹âÆÁÈ¥½ÓÊÕ B½«¹âÆÁ·Åµ½°¼Í¸¾µÓÒ²àÈ¥½ÓÊÕ
CÈ¡×ß¹âÆÁ£¬Ö±½Óͨ¹ý͹͸¾µ×ó²à¹Û²ì DÖ±½Ó´ÓÀ¯ÖòÕâ²à¹Û²ì
£¨6£©ÀÏʦҪÇóËûÔÚ͹͸¾µ²»¶¯µÄÇé¿öÏ£¬ÔÚ¹âÆÁÉÏÔÚ³ÉÒ»¸ö¸üСµÄÏñ£¬Ð¡Ã÷Ó¦µ±°ÑÀ¯ÖòÏòÔ¶Àë͹͸¾µ·½ÏòÒÆ¶¯£¬Í¬Ê±°Ñ¹âÆÁÏò¿¿½ü͹͸¾µÒƶ¯£®
£¨7£©Èç¹û£¬ÔÚʵÑéÖÐÎÞÂÛÔõÑùÒÆ¶¯¹âÆÁ¶¼ÕÒ²»µ½ÇåÎúµÄÏñ£¬ÇëÄã°ïËûÃÇÕÒ³öÁ½¸ö¿ÉÄܵÄÔÒò£®
¢ÙÎïÌå¾à͸¾µµÄ¾àÀëΪһ±¶½¹¾à£¬ÎïÌå²»³ÉÏñ ¢ÚÎïÌå¾à͸¾µµÄ¾àÀëСÓÚÒ»±¶½¹¾à£¬ÎïÌå³ÉµÄÊÇÕýÁ¢·Å´óµÄÐéÏñ£¨»òÀ¯Öò¡¢Í¹Í¸¾µ¡¢¹âÆÁµÄÖÐÐIJ»ÔÚͬһ¸ß¶ÈÉÏ£©
·ÖÎö £¨1£©Òª³ÉÏñ£¬Ð轫͹͸¾µÖÃÓÚÀ¯ÖòºÍ¹âÆÁÖÐÑ룬²¢µ÷ÕûÖòÑæ¡¢Í¹Í¸¾µ¡¢¹âÆÁÔÚͬһ¸ß¶È£¬ÕâÑùÏñ²Å¿ÉÒÔ³ÉÔÚ¹âÆÁÖÐÑ룻
£¨2£©½¹¾àÊÇ´Ó½¹µãµ½Í¹Í¸¾µµÄ¾àÀ룻
µ±Îï¾àµÈÓÚ2fʱ£¬Í¹Í¸¾µ³Éµ¹Á¢µÈ´óʵÏñ£¬Ïñ¾àµÈÓÚ2f£»
£¨3£©ÊµÑéÖУ¬Ó¦Ê¹Í¹Í¸¾µ¡¢¹âÆÁ¡¢ÖòÑæÖÐÐÄ´óÖÂÔÚͬһ¸ß¶È£»
£¨4£©Çó³öÎï¾à£¬¸ù¾ÝÎï¾àºÍ½¹¾àÅжÏ͹͸¾µ³ÉÏñÐÔÖÊ£®
u£¾2f£¬³Éµ¹Á¢¡¢ËõСµÄʵÏñ£¬Ó¦ÓÃÓÚÕÕÏà»úºÍÉãÏñ»ú£®
2f£¾u£¾f£¬³Éµ¹Á¢¡¢·Å´óµÄʵÏñ£¬Ó¦ÓÃÓڻõƻúºÍͶӰÒÇ£®
u£¼f£¬³ÉÕýÁ¢¡¢·Å´óµÄÐéÏñ£¬Ó¦ÓÃÓڷŴ󾵺ÍÀÏ»¨¾µ£®
£¨5£©Îï¾àСÓÚ½¹¾à£¬³ÉÕýÁ¢·Å´óµÄÐéÏñ£¬ÐéÏñ²»ÄܳÉÔÚ¹âÆÁÉÏ£¬¿ÉÒÔÓÃÑÛ¾¦Ö±½Ó¹Û²ì£¬ÓëÎïÌåͬ²à£»
£¨6£©Í¹Í¸¾µ³ÉʵÏñʱ£¬¾ßÓÐÎï½üÏñÔ¶Ïñ±ä´óµÄÌØµã£»
£¨7£©¹âÆÁÉϵò»µ½ÖòÑæÏñµÄÇé¿öÓÐÈýÖÖ£º¢Ù³ÉµÄÏñÊÇÐéÏñ£¬ÐéÏñÊDz»»á³ÉÔÚ¹âÆÁÉϵģ»¢Ú³ÉʵÏñ£¬µ«ÓÉÓÚÖòÑæ¡¢Í¹Í¸¾µ¡¢¹âÆÁÈýÕßµÄÖÐÐIJ»ÔÚͬһ¸ß¶ÈÉÏ£¬ËäÈ»³ÉµÄÊÇʵÏñ£¬µ«¹âÆÁÉÏÏÔʾ²»³öÀ´£»¢Û²»³ÉÏñ£¬µ±ÎïÌåλÓÚ½¹µãÉÏ£¬¼´u=fʱ£¬´Ëʱ²»³ÉÏñ£¬ËùÒÔ¹âÆÁÉÏÒ²µÃ²»µ½ÖòÑæµÄÏñ£®
½â´ð ½â£º£¨1£©ÊµÑéʱÒÀ´Î°ÑÀ¯Öò¡¢Í¹Í¸¾µ¡¢¹âÆÁ·ÅÔÚ¹â¾ß×ùÉÏ£¬µ÷ÕûËûÃǵÄÖÐÐÄ´óÖÂÔÚͬһ¸ß¶È£¬ÕâÑù×öµÄÄ¿µÄÊÇʹÖòÑæµÄÏñ³ÉÔÚ¹âÆÁÖÐÑ룮
£¨2£©ÓÉͼ֪£¬½¹µãµ½Í¹Í¸¾µµÄ¾àÀ룬¼´¸Ã͹͸¾µµÄ½¹¾àΪf=25.0cm-15.0cm=10.0cm£»
³ý´ËÖ®Í⻹¿ÉÒÔÓóɵ¹Á¢µÈ´óʵÏñʱ£¬Îï¾àµÈÓÚ2±¶½¹¾àµÄ·½·¨²â½¹¾à£®
£¨3£©ÓÉͼ֪£¬Í¹Í¸¾µµÄ¸ß¶ÈÆ«ÉÏ£¬Ó¦½«Í¹Í¸¾µÏòϵ÷½Ú£»
£¨4£©Îï¾à£ºu=90cm-450cm=45cm£¬u£¾2f£¬³Éµ¹Á¢¡¢ËõСµÄʵÏñ£®
µÚ5´ÎʵÑ飬Îï¾àÊÇ5cm£¬u£¼f£¬³ÉÕýÁ¢¡¢·Å´óµÄÐéÏñ£®
£¨5£©Îï¾àСÓÚ½¹¾à£¬³ÉÕýÁ¢·Å´óµÄÐéÏñ£¬ÐéÏñ²»ÄܳÉÔÚ¹âÆÁÉÏ£¬ÓëÎïÌåͬ²à£¬ËùÒÔӦȡ×ß¹âÆÁ£¬Ö±½Óͨ¹ý͹͸¾µ×ó²à¹Û²ì£¬CÕýÈ·£»
£¨6£©ÔÚ¹âÆÁÉÏÔÚ³ÉÒ»¸ö¸üСµÄÏñ£¬Ó¦Ôö´óÎï¾à£¬¼õСÏñ¾à£¬½«À¯ÖòÏòÔ¶Àë͹͸¾µ·½ÏòÒÆ¶¯£¬Í¬Ê±°Ñ¹âÆÁÏò¿¿½ü͹͸¾µÒƶ¯£»
£¨7£©ÆÁÉÏÒ²²»»áÓÐÇåÎúµÄÏñ£¬ÓÐÒÔÏÂÈýÖÖ¿ÉÄÜ£º
¢ÙÎïÌå¾à͸¾µµÄ¾àÀëΪһ±¶½¹¾à£¬ÎïÌå²»³ÉÏñ£»
¢ÚÎïÌå¾à͸¾µµÄ¾àÀëСÓÚÒ»±¶½¹¾à£¬ÎïÌå³ÉµÄÊÇÕýÁ¢·Å´óµÄÐéÏñ£»
¢ÛÀ¯Öò¡¢Í¹Í¸¾µ¡¢¹âÆÁµÄÖÐÐIJ»ÔÚͬһ¸ß¶ÈÉÏ£®
¹Ê´ð°¸Îª£º£¨1£©À¯Öò£»Í¹Í¸¾µ£»¹âÆÁ£»Í¬Ò»¸ß¶È£»Ê¹ÖòÑæµÄÏñ³ÉÔÚ¹âÆÁÖÐÑ룻£¨2£©10.0cm£»³Éµ¹Á¢µÈ´óʵÏñʱ£¬Îï¾àµÈÓÚ2±¶½¹¾à£»£¨3£©Ï£»£¨4£©45£»³ÉÕýÁ¢¡¢·Å´óµÄÐéÏñ£»£¨5£©C£»£¨6£©Ô¶À룻¿¿½ü£»£¨7£©¢ÙÎïÌå¾à͸¾µµÄ¾àÀëΪһ±¶½¹¾à£¬ÎïÌå²»³ÉÏñ£»¢ÚÎïÌå¾à͸¾µµÄ¾àÀëСÓÚÒ»±¶½¹¾à£¬ÎïÌå³ÉµÄÊÇÕýÁ¢·Å´óµÄÐéÏñ£¨»òÀ¯Öò¡¢Í¹Í¸¾µ¡¢¹âÆÁµÄÖÐÐIJ»ÔÚͬһ¸ß¶ÈÉÏ£©£®
µãÆÀ ±¾ÌâÊÇ̽¾¿Í¹Í¸¾µ³ÉÏñ¹æÂɵÄʵÑ飬¿¼²éÁ˶ԳÉÏñ¹æÂɵÄÕÆÎÕºÍÓ¦Óü°ÊµÑéÖÐӦעÒâµÄÎÊÌâºÍʵÑéÒÇÆ÷µÄµ÷½Ú£¬Ó¦ÊìÁ·ÕÆÎÕºÍÓ¦Óã®
| A£® | ¼õСÉùÒô·ÖÉ¢£¬¿ÉÒÔÔö´óÏì¶È | |
| B£® | ³¬Éù²¨ÔÚË®Öд«²¥µÄËٶȱÈÉùÒôÔÚ¿ÕÆøÖеÄËÙ¶ÈС | |
| C£® | ÉùÒô´óС²»Í¬ÊÇÒòΪÒôµ÷²»Í¬ | |
| D£® | Îæ×¡¶ú¶ä¿ÉÒÔ¼õСÔëÉùµÄƵÂÊ |
| A£® | ¼×¡¢ÒÒͬʱµ½´ïÖÕµã | B£® | ÒÒÏȵ½´ïÖÕµã | ||
| C£® | ¼×Ïȵ½´ïÖÕµã | D£® | δµ½ÖÕµãǰ£¬ÒÒÔÚ¼×ǰ±ß |
| A£® | ²»ÂÛÊǹÌÌå¡¢ÒºÌ廹ÊÇÆøÌå¶¼Äܹ»´«²¥ÉùÒô | |
| B£® | ÔÂÇòÉϵÄÓԱ¿ÉÖ±½ÓÓÃÓïÑÔ½»Ì¸ | |
| C£® | Ö»ÒªÓÐÎïÌåÕñ¶¯£¬ÎÒÃǾÍÒ»¶¨Äܹ»Ìýµ½Ëü·¢³öµÄÉùÒô | |
| D£® | ÒÔÉÏ˵·¨¶¼²»¶Ô |
| A£® | СƿϳÁ¹ý³ÌÖУ¬´óÆ¿ÖÐË®¶ÔСƿƿ¿ÚµÄѹǿ±äС | |
| B£® | СƿϳÁ¹ý³ÌÖУ¬Ð¡Æ¿£¨°üÀ¨Ð¡Æ¿ÖеÄË®£©ËùÊܵ½µÄ¸¡Á¦²»±ä | |
| C£® | СƿÐü¸¡Ê±£¬Ð¡Æ¿ÖÐË®µÄÖÊÁ¿´óÓÚ¼·Ñ¹Ç°Ð¡Æ¿ÖÐË®µÄÖÊÁ¿ | |
| D£® | СƿÐü¸¡Ê±£¬Ð¡Æ¿Öзâ±ÕÆøÌåµÄѹǿСÓÚ¼·Ñ¹Ç°µÄѹǿ |