רÀûÃû³Æ£ºÒ»ÖÖÍÖÔ²ËÙ²âÒǵÄÖÆ×÷·½·¨
¼¼ÊõÁìÓò£º
±¾ÊµÓÃÐÂÐÍÉæ¼°Ò»ÖÖ²âÁ¿×°Öã¬ÌرðÉæ¼°Ò»ÖÖÄܹ»¿ìËÙ²âÁ¿ÍÖÔ²µÄÀëÐÄÂÊ¡¢³¤°ëÖá¡¢¶Ì°ëÖá»ù±¾²ÎÊýµÄÍÖÔ²ËÙ²âÒÇ¡£
±³¾°¼¼Êõ£º
ÔÚ¹¤³ÌÖÆÍ¼ÖУ¬ÒÑÖªÒ»ÍÖԲͼÐΣ¬ÒªÏëµÃÖªÆä»ù±¾²ÎÊý£¬»òÒÑÖªÒ»¸öÍÖÔ²»ù±¾²ÎÊýÒªÏë»æ³ö¸ÃÍÖÔ²£¬¶¼ÊDz»·½±ã»ò±È½Ï¸´ÔÓµÄÊ¡£¹¤³ÌÉÏ»æÖÆÍÖÔ²µÄ·½·¨½Ï¶à£¬µ«Ò»°ã¶¼Òª¾¹ý¸´ÔӵĻæÖƹý³Ì²ÅÄÜʵÏÖ¡£ÔÚ¹¤³Ìʵ¼ùÖУ¬ÒªÏë¿ìËÙÖªµÀÒ»¸öδ֪ÍÖÔ²µÄ²ÎÊý£¬Ò»°ã¶¼Òª¾¹ý²âÁ¿¡¢¼ÆËãµÈ²½Öè¡£ÕâÑù¼ÈÀË·Ñʱ¼äÓÖ¿ÉÄÜ´øÀ´½Ï´óµÄÎó²î¡£
·¢Ã÷ÄÚÈÝ
±¾ÊµÓÃÐÂÐ͵ÄÄ¿µÄÔÚÓÚÌṩһÖÖÄܹ»¿ìËÙ¡¢×¼È·µÄ²âÁ¿ÍÖÔ²²ÎÊýµÄÍÖÔ²ËÙ²âÒÇ¡£
Ϊ´ïµ½ÉÏÊöÄ¿µÄ£¬±¾ÊµÓÃÐÂÐͲÉÓõļ¼Êõ·½°¸ÊǰüÀ¨¿ÇÌåºÍÉèÖÃÔÚ¿ÇÌå϶˷ÅÖôý²âÍÖÔ²µÄºÐÌ壬ÆäÌØµãÊÇ£¬ÔÚ¿ÇÌåµÄÉ϶ËÒÀ´ÎÉèÖÃÓй̶¨¹âÔ´ºÍ»·ÐÎÔ²ÅÌ£¬¿ÇÌåµÄÁ½²à¶Ô³ÆÉèÖÃÓл¬²Û£¬»·ÐÎÔ²ÅÌͨ¹ý»¬²ÛÓëÄÜʹ»·ÐÎÔ²ÅÌÉÏÏÂÒÆ¶¯µÄ´«¶¯×°ÖÃÏàÁ¬½Ó£¬ÇÒÔÚ»·ÐÎÔ²ÅÌÉÏ»¹ÉèÖÃÓÐһתÖá¡£
±¾ÊµÓÃÐÂÐ͵ÄÁíÒ»ÌØµãÊÇ¿ÇÌåµÄÍâ²à»¹ÉèÖÃÓÐÓë»·ÐÎÔ²ÅÌÁ¬ÎªÒ»ÌåµÄ¿Ì¶ÈÅÌ¡£
±¾ÊµÓÃÐÂÐÍÀûÓùâµÄÖ±Ïß´«²¥ÔÀí£¬Í¨¹ý¸Ä±äÕÚ¹âÆ¬¼´»·ÐÎÔ²ÅÌÓë¹âÏßÖ®¼äµÄ¼Ð½Ç£¬´Ó¶øµÃµ½Ò»¸ö¶Ì°ëÖ᳤¶È²»¶Ï±ä»¯µÄÍÖÔ²ÐÎÒõÓ°£¬µ±±»²âÍÖÔ²³¤ÖáÓë»·ÐÎÔ²ÅÌͶӰµÄÖ±¾¶ÏàµÈ£¬ÇÒÍÖÔ²ÐÎÒõÓ°Óë±»²âÍÖԲǡºÃÖØºÏʱ¼´¿É´Ó¼¸ºÎ¹ØÏµËãµÃ±»²âÍÖÔ²µÄ¶Ì°ëÖᡣͬÀí£¬Ò²¿ÉËãµÃ±»²âÍÖÔ²µÄ³¤°ëÖá¡¢ÀëÐÄÂÊ¡£
ͼ1ÊDZ¾ÊµÓÃÐÂÐ͵ÄÕûÌå½á¹¹Ê¾Òâͼ£»Í¼2ÊDZ¾ÊµÓÃÐÂÐÍ»·ÐÎÔ²ÅÌ4µÄ½á¹¹Ê¾Òâͼ£»Í¼3ÊDZ¾ÊµÓÃÐÂÐͲâÁ¿ÔÀíͼ¡£
¾ßÌåʵʩ·½Ê½
ÒÔϽáºÏ¸½Í¼¶Ô±¾ÊµÓÃÐÂÐ͵ĽṹÔÀíºÍ¹¤×÷ÔÀí×÷½øÒ»²½Ïêϸ˵Ã÷¡£
²Î¼ûͼ1£¬±¾ÊµÓÃÐÂÐͰüÀ¨¿ÇÌå1ºÍÉèÖÃÔÚ¿ÇÌå1϶˷ÅÖôý²âÍÖÔ²µÄºÐÌå2£¬¿ÇÌå1µÄÉ϶ËÒÀ´ÎÉèÖÃÓй̶¨¹âÔ´3ºÍ»·ÐÎÔ²ÅÌ4£¬¿ÇÌå1µÄÁ½²à¶Ô³ÆÉèÖÃÓл¬²Û5£¬»·ÐÎÔ²ÅÌ4ͨ¹ý»¬²Û5Óëʹ»·ÐÎÔ²ÅÌÉÏÏÂÒÆ¶¯µÄ´«¶¯×°ÖÃ6ÏàÁ¬½Ó£¬¿ÇÌå1µÄÍâ²à»¹ÉèÖÃÓÐÓë»·ÐÎÔ²ÅÌ4Á¬ÎªÒ»ÌåµÄ¿Ì¶ÈÅÌ7£¬ÇÒÔÚ»·ÐÎÔ²ÅÌ4ÉÏ»¹ÉèÖÃÓÐһתÖá8¡£
²Î¼ûͼ2£¬±¾ÊµÓÃÐÂÐÍÀûÓùâµÄÖ±Ïß´«²¥ÔÀí£¬Í¨¹ýת¶¯×ªÖá8¸Ä±ä»·ÐÎÔ²ÅÌ4Óë¹âÔ´1Ö®¼äµÄ¼Ð½Ç£¬´Ó¶øµÃµ½Ò»¸ö¶Ì°ëÖ᳤¶È²»¶Ï±ä»¯µÄÍÖÔ²ÐÎÒõÓ°£¬Í¨¹ý´«¶¯×°ÖÃ6ʹ»·ÐÎÔ²ÅÌ4ÉÏÏÂÒÆ¶¯Ê¹±»²âÍÖÔ²³¤ÖáÓë»·ÐÎÔ²ÅÌ4µÄͶӰֱ¾¶ÏàµÈ£¬ÇÒÍÖÔ²ÐÎÒõÓ°Óë±»²âÍÖԲǡºÃÖØºÏʱ¼´¿É´Ó¼¸ºÎ¹ØÏµËãµÃ±»²âÍÖÔ²µÄ¶Ì°ëÖᡣͬÀí£¬Ò²¿ÉËãµÃ±»²âÍÖÔ²µÄ³¤°ëÖá¡¢ÀëÐÄÂÊ¡£
ͼÖÐ3Ϊ¹Ì¶¨¹âÔ´£¬4Ϊ»·ÐÎÔ²ÅÌÇҰ뾶Ϊr(¿ÉΪ¶¨ÖµÒ²¿Éͨ¹ý¸Ä±ä°ë¾¶µÄÖµÀ´¸Ä±ä²âÁ¿µÄ·¶Î§)£¬¹âÔ´3Óë»·ÐÎÔ²ÅÌ4Ö®¼äµÄ¾àÀëΪh£¬¹âÔ´3¾àÀëµØÃæµÄ¸ß¶ÈΪH£»³¤¶Ì°ëÖáµÄ²âÁ¿Óɼ¸ºÎ֪ʶ¿ÉµÃra=hH⇒a=rHh---(2-1)]]>Óɴ˹«Ê½¼´¿É²â³öÍÖÔ²µÄ³¤°ëÖáa£¬Í¨¹ý»·ÐÎÔ²ÅÌ4ʹͶӰÍÖÔ²Óë±»²âÍÖÔ²ÖØºÏ£¬Éè´Ëʱ»·ÐÎÔ²ÅÌ4Ïà¶ÔË®Æ½ÃæÐýת¹ýµÄ½Ç¶ÈΪ¦Á£¬Óɼ¸ºÎ¹ØÏµ¿ÉµÃÍÖÔ²µÄ¶Ì°ëÖáΪb=acosα=rHhcosα---(2-2)]]>ÀëÐÄÂʵIJâÁ¿Éè»·ÐÎÔ²ÅÌ4¶ÔË®Æ½Ãæ½Ç¶ÈΪ¦Á£¬ÓÉʽ2-1ºÍ2-2¿ÉµÃ¹ÊÆäÀëÐÄÂÊΪe=a2-a2cos2αa=sinα---(2-3)]]>ͨ¹ý´Ë¹ØÏµ°Ñ¶ÔÀëÐÄÂʵIJâÁ¿±ä³ÉÁ˶ԽǶȦÁµÄ²âÁ¿¡£ÆäÖµ¿ÉÔڿ̶ÈÅÌ7É϶Á³ö¡£
±¾ÊµÓÃÐÂÐÍͨ¹ý¸Ä±ä»·ÐÎÔ²ÅÌ4Óë¹Ì¶¨¹âÔ´1µÄ¾àÀëhÒÔ¼°»·ÐÎÔ²ÅÌ4ÓëË®Æ½ÃæµÄ¼Ð½Ç¦Á£¬´Ó¶øµÃµ½¾ßÓв»Í¬³¤°ëÖ᳤¡¢¶Ì°ëÖ᳤ºÍÀëÐÄÂʵÄÍÖÔ²¡£
ȨÀûÒªÇó1.Ò»ÖÖÍÖÔ²ËÙ²âÒÇ£¬°üÀ¨¿ÇÌå[1]ºÍÉèÖÃÔÚ¿ÇÌå[1]϶˷ÅÖôý²âÍÖÔ²µÄºÐÌå[2]£¬ÆäÌØÕ÷ÔÚÓÚÔÚ¿ÇÌå[1]µÄÉ϶ËÒÀ´ÎÉèÖÃÓй̶¨¹âÔ´[3]ºÍ»·ÐÎÔ²ÅÌ[4]£¬¿ÇÌå[1]µÄÁ½²à¶Ô³ÆÉèÖÃÓл¬²Û[5]£¬»·ÐÎÔ²ÅÌ[4]ͨ¹ý»¬²Û[5]ÓëÄÜʹ»·ÐÎÔ²ÅÌ[4]ÉÏÏÂÒÆ¶¯µÄ´«¶¯×°ÖÃ[6]ÏàÁ¬½Ó£¬ÇÒÔÚ»·ÐÎÔ²ÅÌ[4]ÉÏ»¹ÉèÖÃÓÐһתÖá[8]¡£
2.¸ù¾ÝȨÀûÒªÇó1ËùÊöµÄÍÖÔ²ËÙ²âÒÇ£¬ÆäÌØÕ÷ÔÚÓÚËù˵µÄ¿ÇÌå[1]µÄÍâ²à»¹ÉèÖÃÓÐÓë»·ÐÎÔ²ÅÌ[4]Á¬ÎªÒ»ÌåµÄ¿Ì¶ÈÅÌ[7]¡£
רÀûÕªÒªÒ»ÖÖÍÖÔ²ËÙ²âÒÇ£¬°üÀ¨¿ÇÌåºÍÉèÖÃÔÚ¿ÇÌå϶˷ÅÖôý²âÍÖÔ²µÄºÐÌ壬ÔÚ¿ÇÌåµÄÉ϶ËÒÀ´ÎÉèÖÃÓй̶¨¹âÔ´ºÍ»·ÐÎÔ²ÅÌ£¬¿ÇÌåµÄÁ½²à¶Ô³ÆÉèÖÃÓл¬²Û£¬»·ÐÎÔ²ÅÌͨ¹ý»¬²ÛÓëÄÜʹ»·ÐÎÔ²ÅÌÉÏÏÂÒÆ¶¯µÄ´«¶¯×°ÖÃÏàÁ¬½Ó£¬ÇÒÔÚ»·ÐÎÔ²ÅÌÉÏ»¹ÉèÖÃÓÐһתÖá¡£±¾ÊµÓÃÐÂÐÍÀûÓùâµÄÖ±Ïß´«²¥ÔÀí£¬Í¨¹ý¸Ä±äÕÚ¹âÆ¬¼´»·ÐÎÔ²ÅÌÓë¹âÏßÖ®¼äµÄ¼Ð½Ç£¬´Ó¶øµÃµ½Ò»¸ö¶Ì°ëÖ᳤¶È²»¶Ï±ä»¯µÄÍÖÔ²ÐÎÒõÓ°£¬µ±±»²âÍÖÔ²³¤ÖáÓë»·ÐÎÔ²ÅÌͶӰµÄÖ±¾¶ÏàµÈ£¬ÇÒÍÖÔ²ÐÎÒõÓ°Óë±»²âÍÖԲǡºÃÖØºÏʱ¼´¿É´Ó¼¸ºÎ¹ØÏµËãµÃ±»²âÍÖÔ²µÄ¶Ì°ëÖᡣͬÀí£¬Ò²¿ÉËãµÃ±»²âÍÖÔ²µÄ³¤°ëÖá¡¢ÀëÐÄÂÊ¡£
Îĵµ±àºÅG01B11/24GK2697585SQ20042004179
¹«¿ªÈÕ2005Äê5ÔÂ4ÈÕ ÉêÇëÈÕÆÚ2004Äê4ÔÂ19ÈÕ ÓÅÏÈȨÈÕ2004Äê4ÔÂ19ÈÕ
·¢Ã÷ÕßÍõ°²¶«, ÍõÄþÏÀ, Ö£¼×ºì, ÍõÌÎ, ÂíÑÞÆ¼ ÉêÇëÈË:ÉÂÎ÷¿Æ¼¼´óѧ