ÌâÄ¿ÄÚÈÝ
15£®Ð¡Ã÷ÔÚ×ö¡°Ì½¾¿Í¹Í¸¾µ³ÉÏñ¹æÂÉ¡±µÄʵÑéÖУ®£¨1£©Èçͼ1Ëùʾ£¬ÈÃÒ»ÊøÆ½ÐйâÉäÏò͹͸¾µ£¬Òƶ¯¹âÆÁ£¬Ö±µ½ÔÚ¹âÆÁÉÏ»á¾Û³ÉÒ»µã£¬Ð¡Ã÷Õâô×öµÄÄ¿µÄÊÇÒª²âÁ¿²âÁ¿½¹¾à£®
£¨2£©Èçͼ2Ëùʾ£¬ÒªÊ¹Ïñ³ÉÔÚ¹âÆÁµÄÖÐÑ룬Ӧ½«¹âÆÁÏòÉϵ÷Õû£¨Ñ¡Ìî¡°ÉÏ¡±»ò¡°Ï¡±£©£®
£¨3£©µ±À¯Öòµ½Í¹Í¸¾µµÄ¾àÀëu=5cmʱ£¬À¯Öò·¢³öµÄ¹â¾¹ý͸¾µºó£¬ÈË¿´µ½µÄÏñλÖÃʹÈçͼ3ÖеÄB£¨Ñ¡Ìî¡°¼×¡±»ò¡°ÒÒ¡±£©£¬ÆäËù³ÉµÄÏñÊÇÐ飨ѡÌʵ¡±»ò¡°Ð顱£©Ïñ£®
£¨4£©µ±À¯Öòµ½Í¹Í¸¾µµÄ¾àÀëu=15cmʱ£¬Òƶ¯¹âÆÁ£¬¿ÉÔÚ¹âÆÁÉϵõ½Ò»¸öµ¹Á¢¡¢·Å´óµÄʵÏñ£¬Éú»îÖеÄͶӰÒǾÍÊÇÀûÓÃÕâ¸öÔÀíÖÆ³ÉµÄ£®
£¨5£©Ð¡Ã÷ÔÚʵÑéÍêºó¸ü»»ÁËÒ»¸ö͸¾µ£¬ÏëÀûÓÃ͸¾µ¶Ô¹âµÄÕÛÉä×÷Óã¬ÔËÓÃ×÷ͼÑéÖ¤¸Õ¸ÕʵÑéµÃµ½µÄÏàÓ¦µÄ¹æÂÉ£®»³öÏÂÃæÈçͼ4µÄ¹â·ͼÆäÖÐACÊÇ´ÓÎïµãA³ö·¢µÄÒ»ÌõÉ䵽͹͸¾µÉϵĹâÏߣ¬A¡äÊÇÎïµãA¾Í¹Í¸¾µºóËù³ÉµÄÏñ£®
A£®Çëͨ¹ý×÷ͼ±ê³ö͹͸¾µÓұߵĽ¹µãF£¬²¢×÷³öAC¹âÏß¾¹ý͹͸¾µºóµÄÕÛÉä¹âÏߣ»£¨Ìáʾ£º´ÓÎïµãA·¢³öµÄÈÎÒ»Ìõ¹âÏßÉ䵽͹͸¾µºó¶¼»á¾¹ýÏñµãA¡ä£©
B£®Èç¹ûABÏò×óÒÆ¶¯£¬ÔòËü³ÉµÄÏñ½«Ïò×óÒÆ¶¯£¨Ñ¡Ìî¡°×ó¡±»ò¡°ÓÒ¡±£©£»¹âÆÁÓ¦Ïò×ó£¨Ñ¡Ìî¡°×ó¡±»ò¡°ÓÒ¡±£©Òƶ¯£¬²ÅÄÜÔÚ¹âÆÁÉϳÉÇåÎúµÄµ¹Á¢£¨Ñ¡Ìî¡°ÕýÁ¢¡±»ò¡°µ¹Á¢¡±£©µÄÏñ£®µ±ÖòÑæÖð½¥Ô¶Àë͹͸¾µÊ±£¬ÖòÑæËù³ÉµÄʵÏñ½«±äС£¨Ñ¡Ìî¡°±ä´ó¡±»ò¡°±äС¡±£©£®
C£®Ö÷¹âÖáÉÏÓп̶ȣ¬Ã¿Ò»Ð¡¸ñ´ú±í1cm£¬Çë¸ù¾ÝÄãµÄ×÷ͼ¶Á³ö͹͸¾µµÄ½¹¾àΪ11.5cm£®
·ÖÎö £¨1£©ÕÆÎÕ½¹¾àµÄ¸ÅÄ´Ó½¹µãµ½Í¹Í¸¾µµÄ¾àÀ룻
£¨2£©ÒªÊ¹ÏñÄܳÉÔÚ¹âÆÁµÄÖÐÑ룬ӦʹÖòÑæ¡¢¹âÆÁ¡¢Í¹Í¸¾µµÄÖÐÐÄ´óÖÂÔÚͬһ¸ß¶È´¦£»
£¨3£©µ±u£¼fʱ£¬³ÉÕýÁ¢¡¢·Å´óµÄÐéÏñ£»
£¨4£©·ÖÎöÎï¾àºÍ½¹¾àµÄ¹ØÏµ£¬ÀûÓÃÎï¾à´¦ÓÚ1±¶ºÍ2±¶½¹¾àÖ®¼äʱ£¬³Éµ¹Á¢·Å´óʵÏñµÄÌØµã½øÐÐÅжϣ¬»ÃµÆ»ú¡¢Í¶Ó°ÒǶ¼ÊǸù¾ÝÕâ¸öÔÀíÖÆ³ÉµÄ£»
£¨5£©Í¹Í¸¾µ¶Ô¹âÏßÓлá¾Û×÷Óã»Í¹Í¸¾µ³ÉʵÏñʱ£¬Îï½üÏñÔ¶Ïñ±ä´ó£»¹ýAµã×÷ƽÐÐÓÚ͹͸¾µµÄ¹âÏߣ¬ÆäÕÛÉä¹âÏßÓëÖ÷¹âÖáµÄ½»µã¼´Îª½¹µã£¬È»ºó¿É֪͹͸¾µ¹âÐĵ½½¹µãµÄ¾àÀ뼴Ϊ½¹¾à£¬ÔÙÈ·¶¨¿Ì¶È³ßµÄ·Ö¶ÈÖµ£¬È»ºó¼´¿É¶ÁÊý£®
½â´ð ½â£º£¨1£©ÈÃÒ»ÊøÆ½ÐйâÉäÏò͹͸¾µ£¬Òƶ¯¹âÆÁ£¬Ö±µ½ÔÚ¹âÆÁÉÏ»á¾Û³ÉÒ»µã£¬ÓÉ͹͸¾µµÄ»á¾Û×÷ÓÿÉÖª£¬´ÎµãΪ½¹µã£¬Óɽ¹¾àµÄ¸ÅÄîÖª£¬f=60cm-50cm=10cm£»
£¨2£©ÓÉͼ֪£¬¹âÆÁµÄλÖÃÆ«¸ß£¬ÒªÊ¹ÏñÄܳÉÔÚ¹âÆÁµÄÖÐÑ룬Ӧ½«¹âÆÁÏòÉϵ÷Õû£»
£¨3£©µ±À¯Öòµ½Í¹Í¸¾µµÄ¾àÀëu=5cmʱ£¬Îï¾àСÓÚ½¹¾à£¬ËùÒÔÈË¿´µ½µÄÏñλÖÃʹÈçͼ3ÖеÄÒÒ£¬ÆäËù³ÉµÄÏñÊÇÕýÁ¢µÄ·Å´óµÄÐéÏñ£»
£¨4£©µ±ÖòÑæ¾àÀë͹͸¾µ15cm´¦Ê±£¬ÎïÌå´¦ÓÚ1±¶½¹¾àºÍ2±¶½¹¾àÖ®¼ä£¬ËùÒÔ´Ëʱ³Éµ¹Á¢·Å´óµÄʵÏñ£¬»ÃµÆ»ú¡¢Í¶Ó°ÒÇÊǸù¾ÝÕâ¸öÔÀíÖÆ³ÉµÄ£»
£¨4£©µ±ÖòÑæÖð½¥Ô¶Àë͹͸¾µÊ±£¬ÓÉÓÚÎï¾à±ä´ó£¬Ïñ¾à±äС£¬ËùÒÔÓ¦½«¹âÆÁ¿¿½ü͹͸¾µ£¬¹âÆÁÉϲŻáÖØÐ³öÏÖÇåÎúµÄÏñ£¬ÖòÑæµÄʵÏñ½«³ÉµÄÏñÒ²±äС£»
£¨5£©A£º¸ù¾Ý͹͸¾µ³ÉÏñ¹æÂÉ¿ÉÖª£¬¹âÏßAC¾Í¹Í¸¾µÕÛÉäºó£¬ÕÛÉä¹âÏßµÄλÖÃÓ¦¸ÃÔÚA¡äµã£®ÈçͼËùʾ£º![]()
B£ºÈç¹ûABÏò×óÒÆ¶¯£¬ÎïÌåÔ¶Àë͸¾µ£¬ÔòÏñ¿¿½ü͸¾µ£¬¼´ÔòËü³ÉµÄÏñ½«Ïò×óÒÆ¶¯£»ÊµÏñ¶¼Êǵ¹Á¢µÄ£»µ±ÖòÑæÖð½¥Ô¶Àë͹͸¾µÊ±£¬Îï¾à±ä´ó£¬Ïñ¾à±äС£¬Ïñ±äС£»
C£º¹ýAµã×÷ƽÐÐÓÚ͹͸¾µµÄ¹âÏߣ¬ÆäÕÛÉä¹âÏßÓëÖ÷¹âÖáµÄ½»µãF¼´Îª½¹µã£¬ÓÉͼ¿ÉÖª£¬¿Ì¶È³ßµÄ·Ö¶ÈֵΪ1cm£¬¼´Ã¿Ò»Ð¡¸ñ´ú±í1cm£¬
ÔòOF=11.5cm£¬¼ûÏÂͼ£®![]()
¹Ê´ð°¸Îª£º£¨1£©²âÁ¿½¹¾à£»£¨2£©ÉÏ£»£¨3£©B£»Ð飻£¨4£©·Å´ó£»Í¶Ó°ÒÇ£»£¨5£©A£ºÈçͼ£»B£º×ó£»×ó£»µ¹Á¢£»±äС£»C£º11.5£®
µãÆÀ ´ËÌâÊÇ̽¾¿Í¹Í¸¾µ³ÉÏñµÄ¹æÂÉʵÑ飬¿¼²éÁ˽¹¾àµÄ²âÁ¿¼°ÊµÑéÆ÷²ÄµÄµ÷½Ú£¬ÕÆÎÕ³ÉÏñÌØµã¼°Îï¾à¡¢Ïñ¾àÖ®¼äµÄ¹ØÏµ¼°Ó¦Óã¬Í¬Ê±×Ô¼º×öһЩ×ܽᣬ¸üÓÐÀûÓÚ¶Ô³ÉÏñ¹æÂɵÄÀí½âºÍÕÆÎÕ£®
| A£® | ÓÐÒ»¸öËõСµÄºÚÓ° | B£® | ÕÕÆ¬»ù±¾Õý³£ | ||
| C£® | ÓÐÒ»¸ö·Å´óµÄºÚÓ° | D£® | ÎÞ·¨³ÉÏñ |