ÌâÄ¿ÄÚÈÝ
13£®£¨1£©ÊµÑéʱ£¬Ó¦Ê¹ÖòÑæºÍ¹âÆÁµÄÖÐÐÄλÓÚ͹͸¾µµÄÖ÷¹âÖáÉÏ£¬»¹ÒªÊ¹Í¸¾µËùÔÚÆ½ÃæÓë¹âÆÁËùÔÚÆ½Ãæ±£³ÖƽÐУ®
£¨2£©Í¼ÖÐÎï¾àuÓ¦Âú×ãA£®
A£®u£¾2f B£®u=2f C£®f£¼u£¼2f D£®u£¼f
£¨3£©µ±À¯ÖòÔ¶Àë͹͸¾µÊ±£¬ÖòÑæµÄÏñ½«ÂäÔÚ¹âÆÁµÄǰ£¨Ìǰ¡±»ò¡°ºó¡±£©·½£®
£¨4£©ÔÚµÚ£¨3£©Ð¡ÌâµÄÇé¿öÏ£¬ÈôÓôËʵÑéÄ£ÄâÈËÑ۵ĵ÷½Ú¹¦ÄÜ£¬ÖØÐÂÔÚ¹âÆÁÉϵõ½ÇåÎúµÄÏñ£¬Ó¦¸Ã½øÐеIJÙ×÷ÊÇC£®
A£®½«¹âÆÁ¿¿½ü͹͸¾µ ¡¡B£®½«¹âÆÁÔ¶Àë͹͸¾µ
C£®»»½¹¾à¸ü´óµÄ͹͸¾µ D£®»»½¹¾à¸üСµÄ͹͸¾µ£®
£¨5£©ÊµÑéÖе±¹âÆÁÉϳÉËõСÇåÎúÏñʱ£¬Èç¹ûÈ¥µô¹âÆÁ£¬ÈËÑÛÔÚ¹âÆÁ²à¶þ±¶½¹¾àÒÔÍâµÄλÖÃÄÜ·ñ¹Û²ìµ½Ïñ£¬Çë¼ÓÒÔ·ÖÎö£®
·ÖÎö £¨1£©ÔÚ̽¾¿Í¹Í¸¾µ³ÉÏñÌØµãµÄʵÑéÖУ¬±ØÐëµ÷ÕûÀ¯Öò¡¢Í¹Í¸¾µ¡¢¹âÆÁÈýÕßµÄÖÐÐÄÔÚͬһ¸ß¶È£¬ÕâÑùÏñ²ÅÄܳÉÔÚ¹âÆÁµÄÖÐÑ룻
£¨2£©³Éµ¹Á¢ËõСʵÏñµÄÌõ¼þÊÇ£ºÎï¾à´óÓÚ2±¶½¹¾à£»
£¨3£©Í¹Í¸¾µµÄ³ÉÏñ¹æÂÉÊÇ£ºÎï¾à¼õСÏñ¾àÔö´ó£»Îï¾àÔö´ó£¬Ïñ¾à¼õС£®
£¨4£©Ïñ³ÉÔÚÊÓÍøÄ¤µÄǰ·½£¬»»½¹¾à¸ü´óµÄ͸¾µ¿ÉÒÔʹÏñÇ°ÒÆ³ÉÔÚ¹âÆÁÉÏ£®
£¨5£©ÔÚ͹͸¾µ³ÉÏñ¹æÂÉÖУ¬Îï¾à´óÓÚ2±¶½¹¾àʱ£¬Ïñ¾àÔÚ1±¶½¹¾àÓë2±¶½¹¾àÖ®¼ä£¬µ«Ëû³ÉµÄÊÇʵÏñ£¬¶øÑÛ¾¦Ç¡ºÃÔÚ³ÉÏñµãÒÔÍâµÄ·¢É¢ÇøÓò£¬ËùÒÔÄÜ¿´µ½Õâ¸öÏñ£®
½â´ð ½â£º£¨1£©ÎªÊ¹ÏñÄܳÉÔÚ¹âÆÁµÄÖÐÑ룬Ӧʹ͹͸¾µ¡¢¹âÆÁ¡¢ÖòÑæµÄÖÐÐÄ´óÖÂÔÚͬһ¸ß¶È´¦£¬Ê¹ÖòÑæºÍ¹âÆÁµÄÖÐÐÄλÓÚ͹͸¾µµÄÖ÷¹âÖáÉÏ£¬»¹ÒªÊ¹Í¸¾µËùÔÚÆ½ÃæÓë¹âÆÁËùÔÚÆ½Ãæ±£³ÖƽÐУ®
£¨2£©ÔÚͼÖгɵÄÊǵ¹Á¢ËõСµÄʵÏñ£¬ÓÉ͹͸¾µ³ÉÏñ¹æÂÉ¿ÉÖª£¬À¯ÖòÓ¦·ÅÔÚ´óÓÚ2±¶½¹¾àµÄλÖ㬹ÊÑ¡A£»
£¨3£©µ±À¯ÖòÔ¶Àë͹͸¾µÊ±£¬ÖòÑæµÄÏñ½«ÂäÔÚ¹âÆÁµÄǰ·½£»
£¨4£©Ïñ³ÉÔÚ¹âÆÁµÄǰ·½ËµÃ÷½¹¾à½ÏС£¬ÎªÁËÄܵõ½ÇåÎúµÄÏñÓ¦»»Óý¹¾à¸ü´óµÄ͹͸¾µ£¬¹ÊÑ¡C£®
£¨5£©ÒòΪ¹âÆÁÉϳÉÇåÎúµÄÏñ£¬ËùÒÔÊÇʵÏñ£®ÒòΪÊÇËõСµÄÏñ£¬ÖòÑæ·¢³öµÄ¹â¾Í¹Í¸¾µÕÛÉäºóÊÇ»á¾ÛÔÚ¹âÆÁÒ»²àÒ»±¶½¹¾àºÍ¶þ±¶½¹¾àÖ®¼ä£¬³ÉÏñºóÊÇ·¢É¢µÄ£¬¶øÑÛ¾¦Ç¡ºÃÔÚ³ÉÏñµãÒÔÍâµÄ·¢É¢ÇøÓò£¬ËùÒÔÄÜ¿´µ½Õâ¸öÏñ£®
¹Ê´ð°¸Îª£º£¨1£©¹âÆÁ£»Æ½ÐУ»
£¨2£©A£»
£¨3£©Ç°£»
£¨4£©C£»
£¨5£©ÒòΪ¹âÆÁÉϳÉÇåÎúµÄÏñ£¬ËùÒÔÊÇʵÏñ£®ÒòΪÊÇËõСµÄÏñ£¬ÖòÑæ·¢³öµÄ¹â¾Í¹Í¸¾µÕÛÉäºóÊÇ»á¾ÛÔÚ¹âÆÁÒ»²àÒ»±¶½¹¾àºÍ¶þ±¶½¹¾àÖ®¼ä£¬³ÉÏñºóÊÇ·¢É¢µÄ£¬¶øÑÛ¾¦Ç¡ºÃÔÚ³ÉÏñµãÒÔÍâµÄ·¢É¢ÇøÓò£¬ËùÒÔÄÜ¿´µ½Õâ¸öÏñ£®
µãÆÀ ´ËÌâΪ¿¼²éѧÉú¶ÔÓÚ͹͸¾µ³ÉÏñʵÑéµÄÀí½âºÍÕÆÎÕ£¬ÊìÖª³ÉÏñ¹æÂÉÊǽâÌâ¹Ø¼ü£¬ÕâÒ²ÊÇÖп¼Èȵ㣮
£¨1£©½«Ò»ÊøÆ½ÐйâÉäÏò͹͸¾µ£¬µÃµ½ÈçͼËùʾµÄ¹â·ͼ£¬¸Õ¸Ã͹͸¾µµÄ½¹¾àΪ10cm£®
£¨2£©½«À¯Öò¡¢Í¹Í¸¾µ¡¢ºÍ¹âÆÁ·ÅÔÚ¹â¾ß×ùÉÏ£¬²¢Ê¹ÖòÑæ¡¢Í¸¾µºÍ¹âÆÁÈýÕßµÄÖÐÐÄ´óÖÂÔÚͬһ¸ß¶È£®Ä¿µÄÊÇʹµÃÏñ³ÉÔÚ¹âÆÁµÄÖÐÑ룮
| ʵÑéÐòºÅ | Îï¾à¦Ì/cm | Ïñ¾àv/cm | ÏñµÄÐÔÖÊ |
| 1 | 30 | 15 | µ¹Á¢¡¢ËõСµÄʵÏñ |
| 2 | 25 | 16.7 | |
| 3 | 20 | 20 | µ¹Á¢¡¢µÈ´óµÄʵÏñ |
| 4 | 15 | µ¹Á¢¡¢·Å´óµÄʵÏñ | |
| 5 | 5 | ÕýÁ¢¡¢·Å´óµÄÐéÏñ |
¢Ù±íÖеÄʵÑéÐòºÅ2ÖеÄÏñµÄÐÔÖÊΪµ¹Á¢¡¢ËõСµÄʵÏñ£¬Óë´ËÏà¹ØµÄÓ¦ÓÃÊÇÕÕÏà»ú£®
¢Úµ±À¯Öò´ÓÔ¶´¦Ïò͸¾µ¿¿½üʱ£¬ÈÔÒªÔÚ¹âÆÁÉϵõ½ÇåÎúµÄÏñ£¬¹âÆÁÓ¦ÏòÔ¶À루ѡÌî¡°¿¿½ü¡±»ò¡°Ô¶À롱£©Í¸¾µ·½ÏòÒÆ¶¯£®
£¨4£©ÔÚʵÑé¹ý³ÌÖУ¬Ð¡Ã÷·¢ÏÖµãȼÀ¯Öòºó£¬ÎÞÂÛÔõÃ´ÒÆ¶¯¹âÆÁ¶¼ÕÒ²»µ½Ïñ£¬ÔÒò¿ÉÄÜÊÇÎï¾àСÓÚ½¹¾à£¬³ÉÁËÐéÏñ£¬²»ÄܳÉÔÚ¹âÆÁÉÏ£®