ÌâÄ¿ÄÚÈÝ
4£®ÔÚ̽¾¿¡°Í¹Í¸¾µ³ÉÏñµÄ¹æÂÉ¡±ÊµÑéÖУº£¨1£©Èçͼ¼×ËùʾÊÇСÃ÷ͨ¹ýʵÑéµÃµ½µÄ͹͸¾µµÄÏñ¾àvºÍÎï¾àu¹ØÏµµÄͼÏó£®ÓÉͼÏó¿É֪͹͸¾µµÄ½¹¾àÊÇ10cm£®
£¨2£©°ÑÀ¯Öò·ÅÔÚ¾à͹͸¾µ16cm´¦Ê±£¬ÈçͼÒÒËùʾ£¬ÔÚ͹͸¾µÁíÒ»²àǰºóÒÆ¶¯¹âÆÁ£¬»áÔÚ¹âÆÁÉϵõ½Ò»¸öµ¹Á¢¡¢·Å´óµÄʵÏñ£®
£¨3£©ÊµÑéÍê³ÉÖ®ºó£¬Ð¡Ã÷°Ñ×Ô¼ºµÄ½üÊÓÑÛ¾µ·ÅÔÚÀ¯ÖòÓë͹͸¾µÖ®¼ä£¬Èçͼ±ûËùʾ£¬ÒòΪ½üÊÓÑÛ¾µ¶Ô¹âÓз¢É¢×÷Óã¬ËùÒÔ¹âÆÁÉÏÔÀ´ÇåÎúµÄÏñ±äµÃÄ£ºýÁË£¬ÈôÏëÔÚ¹âÆÁÉÏÖØÐµõ½ÇåÎúµÄÖòÑæÏñ£¬ÔÚ²»¸Ä±äÀ¯ÖòºÍ͹͸¾µÎ»ÖõÄÇé¿öÏ£¬Ó¦½«¹âÆÁÔ¶Àë͹͸¾µ£®
·ÖÎö £¨1£©Í¹Í¸¾µ³ÉÏñʱ£¬u=v=2f£¬ÔÚͼÏóÉÏÕÒµ½u=v¶ÔÓ¦µã£¬¸ù¾ÝÎï¾àºÍ½¹¾àµÄ¹ØÏµÇó³ö͹͸¾µµÄ½¹¾à£®
£¨2£©Í¹Í¸¾µ³ÉÏñʱ£¬2f£¾u£¾f£¬³Éµ¹Á¢¡¢·Å´óµÄʵÏñ£¬Ó¦ÓÃÓڻõƻúºÍͶӰÒÇ£®
£¨3£©½üÊÓÑÛ¾µÊǰ¼Í¸¾µ£¬°¼Í¸¾µ¶Ô¹âÏßÓз¢É¢×÷Óã¬Ê¹ÔÀ´»á¾Û³ÉÏñµÄ¹âÏßÍÆ³Ù»á¾Û£¬ÏñÔ¶Àë͹͸¾µ£¬ÒªÓùâÆÁ½Óµ½ÇåÎúµÄÏñ£¬ÅжϹâÆÁµÄÒÆ¶¯·½Ïò£®
½â´ð ½â£º£¨1£©ÓÉͼ֪£¬µ±Îï¾àΪ20cmʱ£¬Ïñ¾àҲΪ20cm£¬¸ù¾Ý͹͸¾µ³ÉÏñµÄ¹æÂÉ£¬Îï¾àµÈÓÚ2±¶½¹¾àʱ£¬³Éµ¹Á¢µÈ´óµÄʵÏñ£¬´ËʱÏñ¾àÓëÎï¾àÏàµÈ£®ËùÒÔ2f=20cm£¬Ôòf=10cm£®
£¨2£©ÓÉ£¨1£©¿ÉÖª£¬f=10cm£¬°ÑÀ¯Öò·ÅÔÚ¾à͹͸¾µ16cm´¦Ê±£¬2f£¾u£¾f£¬³Éµ¹Á¢¡¢·Å´óµÄʵÏñ£»
£¨3£©½üÊÓÑÛ¾µÊǰ¼Í¸¾µ£¬°¼Í¸¾µ¶Ô¹âÏßÓз¢É¢×÷Óã¬Ê¹ÔÀ´»á¾Û³ÉÏñµÄ¹âÏßÍÆ³Ù»á¾Û£¬ÏñÔ¶Àë͹͸¾µ£¬ÒªÓùâÆÁ½Óµ½ÇåÎúµÄÏñ£¬Ó¦½«¹âÆÁÏòÓÒµ÷½Ú£¬¼´ÏòÔ¶Àë͹͸¾µµÄ·½Ïòµ÷½Ú£¬²ÅÄÜʹÏñ±äÇåÎú£®
¹Ê´ð°¸Îª£º£¨1£©10£»£¨2£©·Å´ó£»£¨3£©·¢É¢£»Ô¶À룮
µãÆÀ ´ËÌâÖ÷Òª¿¼²é͹͸¾µ³ÉÏñµÄÓ¦Óã¬ÒªÊì¼Ç͹͸¾µ³ÉÏñµÄ¹æÂÉ£¬Ìرð¸ãÇåÏñµÄÌØµã¼°Ïñ¾àÓëÎï¾àÖ®¼äµÄ¹ØÏµ£®½â¾ö´ËÌâµÄ¹Ø¼üÊÇͨ¹ýͼÏóÈ·¶¨Í¹Í¸¾µµÄ½¹¾à£®È»ºóÎÊÌâ¿É½â£®
| ʵÑé ´ÎÊý | ÎïÖØ GÎï/N | ¶¯»¬ÂÖÖØ G¶¯/N | ¹³ÂëÉÏÉýµÄ ¸ß¶Èh/m | ¶¯Á¦ F/N | ¶¯Á¦×÷ÓõãÒÆ¶¯µÄ¾àÀës/m | »¬ÂÖ×éµÄ»ú еЧÂʦÇ/% |
| 1 | 1 | 0.5 | 0.1 | 0.7 | 0.3 | 47.6 |
| 2 | 2 | 0.5 | 0.1 | 1.1 | 0.3 | 60.6 |
| 3 | 4 | 0.5 | 0.1 | 2 | 0.3 | |
| 4 | 4 | 1 | 0.1 | 0.5 | 50.0 |
£¨2£©ÔÚʵÑéÖУ¬²âÁ¿Éþ¶ËÀÁ¦Fʱ£¬Ó¦¾¡Á¿ÊúÖ±ÔÈËÙÏòÉÏÀ¶¯µ¯»É²âÁ¦¼Æ£¬¶Á³öÒÒͼÖе¯»É²âÁ¦¼ÆµÄʾÊýΪ1.6¡¡N£¬µÚ3´ÎʵÑéʱ»¬ÂÖ×éµÄ»úеЧÂÊΪ66.7%£®
£¨3£©ÓɱíÖеÚ1¡¢2¡¢3×éÊý¾Ý¿ÉÖª£¬Í¬Ò»»¬ÂÖ×éµÄ»úеЧÂÊÓëÎïÖØÓйأ®
£¨4£©ÓɱíÖеÚ3¡¢4×éÊý¾Ý¿ÉÖª£¬Í¬Ò»»¬ÂÖ×éµÄ»úеЧÂÊÓëĦ²ÁºÍ¶¯»¬ÂÖÖØÓйأ¬Çë¼ÆËã³öµÚ3×éʵÑéÖп˷þĦ²ÁËù×öµÄ¶îÍ⹦0.15J£®
| A£® | վ̨ÕýÔÚÏòÎ÷Ô˶¯ | B£® | վ̨ÕýÔÚÏò¶«Ô˶¯ | ||
| C£® | ³µÉϵij˾¯Ïò¶«Ô˶¯ | D£® | ³µÉϵij˾¯ÏòÎ÷Ô˶¯ |
| A£® | ½ÓÏß°åµÄ²åÍ·ÊÇÁ½½Å²åÍ· | |
| B£® | Á½¿×²å×ùºÍÈý¿×²å×ùÊÇ´®ÁªµÄ | |
| C£® | ½ÓÏß°åÉϵĿª¹ØºÍָʾµÆÊDz¢ÁªµÄ | |
| D£® | ʹÓöà¸ö´ó¹¦ÂÊÓõçÆ÷ʱ£¬²»ÒªÍ¬Ê±½ÓÔÚͬһ½ÓÏß°å |
| ²âÁ¿½Ç¶È ʵÑé´ÎÊý | ÈëÉä½Ç | ·´Éä½Ç |
| 1 | 20¡ã | 20¡ã |
| 2 | 40¡ã | 40¡ã |
| 3 | 55¡ã | 58¡ã |
| 4 | 70¡ã | 70¡ã |
£¨2£©ENFÊÇÓÃÁ½¿éÖ½°åÁ¬½ÓÆðÀ´µÄ£¬Èô½«Ö½°åNOFÏòǰ»òÏòºóÕÛ£¬ÔÚÖ½°åÉÏ¿´²»¼û·´Éä¹âÏߣ¬Óɴ˱íÃ÷·´Éä¹âÏß¡¢ÈëÉä¹âÏß¡¢·¨ÏßÔÚÍ¬Ò»Æ½ÃæÄÚ£»
£¨3£©¹Û²ìʵÑéÊý¾Ý×ܽᷴÉä½ÇÓëÈëÉä½ÇµÄ¹ØÏµÊ±£¬·¢ÏÖ±í¸ñÖÐÓÐÒ»¸ö·´Éä½ÇµÄ¶ÁÊýÓÐÎó£¬ÊÇ58¡ãÕâ¸ö½Ç£®