ÑÇÐÇÓÎÏ·¹ÙÍø-www.yaxin868.com

ɽ¶«ÑÇÐÇÓÎÏ·¹ÙÍø»ú´²ÓÐÏÞ¹«Ë¾Ï³´²¹Ù·½ÍøÕ¾½ñÌìÊÇ£º2025-04-16Çл»³ÇÊÐ[È«¹ú]-ÍøÕ¾µØÍ¼
ÍÆ¼ö²úÆ· :
ÍÆ¼öÐÂÎÅ
¼¼ÊõÎÄÕµ±Ç°Î»ÖÃ:¼¼ÊõÎÄÕÂ>

Ðýת½Ç¶È¼ì²â×°Öü°Ê¹ÓøÃ×°ÖõÄÐýתµç»úµÄÖÆ×÷·½·¨

ʱ¼ä:2025-04-15    ×÷Õß: ¹ÜÀíÔ±

רÀûÃû³Æ£ºÐýת½Ç¶È¼ì²â×°Öü°Ê¹ÓøÃ×°ÖõÄÐýתµç»úµÄÖÆ×÷·½·¨
¼¼ÊõÁìÓò£º
±¾·¢Ã÷Éæ¼°Ðýת½Ç¶È¼ì²â×°Öü°Ê¹ÓøÃ×°ÖõÄÐýתµç»ú¡£
±³¾°¼¼Êõ£º
ÓëÊܵ½Ê¹ÓÃζȻ·¾³ÏÞÖÆ¡¢¶øÇҽṹ¸´ÔÓ¼Û¸ñ°º¹óµÄ¹âѧʽ±àÂëÆ÷Ïà±È£¬×÷ΪһÖֽṹ¼òµ¥¼Û¸ñ±ãÒË¡¢¶øÇÒ»¹ÄܳÐÊܸßλ·¾³µÄ×°Öã¬Ò»Ö±ÒÔÀ´ÔÚ¿¼ÂÇÀûÓÃת×ÓÓ붨×Ó¼äµÄÆøÏ¶´Åµ¼Âʱ仯µÄÐýת½Ç¶È¼ì²â×°Ö÷½°¸¡£ÀýÈç£¬ÌØ¹«ÕÑ62-58445ºÅ¹«±¨ÖÐÐðÊöÁ˾ßÓÐ2ÏàÀø´ÅÈÆ×é¼°1ÏàÊä³öÈÆ×éµÄÐýת½Ç¶È¼ì²â×°ÖõÄÀý×Ó¡£ÁíÍ⣬ÔÚÌØ¿ªÕÑ49-124508ºÅ¹«±¨ÖÐÐðÊöÁ˾ßÓÐ1ÏàÀø´ÅÈÆ×é¼°2ÏàÊä³öÈÆ×éµÄÀý×Ó¡£ÎÞÂÛÄÄÒ»¸öÀý×Ó£¬¶¼ÊÇÓÉÓÚת×ÓÐÎ×´¾ßÓÐ͹¼«£¬Òò´ËËæ×ª×ӵĽǶȲ»Í¬£¬Êä³öÈÆ×éÖгöÏֵĵçѹµÄÏàλ»òÕñ·ù¾Í±ä»¯£¬Í¨¹ý¶ÁÈ¡¸Ã±ä»¯£¬¾ÍÄܹ»ÖªµÀת×ÓµÄλÖá£ÁíÍ⣬ÔÚרÀûµÚ2624747ºÅ¹«±¨ÖнÒʾÁËÀø´ÅÈÆ×éΪ3ÏàµÄÐýת½Ç¶È¼ì²â×°Öá£ÔÙÓУ¬ÔÚרÀûµÚ3103487ºÅ¹«±¨¼°×¨ÀûµÚ3182493ºÅ¹«±¨ÖнÒʾÔÚ¶¨×ÓµÄTÐÎÌúÐÄÉϼ¯ÖоíÈÆÈÆ×顢ʹÔÑÊý°´ÕýÏÒ²¨Ðα仯µÄÀý×Ó¡£
ÔÚͼ73¼°Í¼74ÖÐËùʾΪÒÔÍùµÄÐýת½Ç¶È¼ì²â×°Öù¹³ÉµÄÒ»¸öÀý×Ó¡£Í¼73ËùʾµÄÒÔÍùÀý×ÓÊÇÓëÌØ¿ªÕÑ49-124508ºÅ¹«±¨Ëù½ÒʾµÄ×°ÖÃÏàͬµÄÖá±¶½ÇΪ1¡¢¶¨×ÓµÄTÐÎÌúÐÄÊýΪ4µÄÀý×Ó¡£ÁíÍ⣬ͼ74ËùʾΪÖá±¶½ÇΪ4¡¢¶¨×ÓµÄTÐÎÌúÐÄÊýΪ16µÄÀý×Ó¡£ÔÚÕâЩͼÖУ¬100Ϊ¶¨×Ó£¬101Ϊת×Ó£¬102ΪÉèÖÃÔÚ¶¨×Ó100ÉϵÄ4ÌõTÐÎÌúÐÄ£¬103Ϊ¾íÈÆÔÚTÐÎÌúÐÄ102ÉϵÄÈÆ×é¡£ÔÚͼ73µÄ·½Ê½ÖУ¬Ëæ×ÅÖá±¶½ÇÔö¼Ó£¬TÐÎÌúÐÄÊýÒ²³ÉÕý±ÈÔö¼Ó¡£ÀýÈ磬Öá±¶½ÇΪ4ʱ£¬³ÉΪͼ74ÄÇÑùµÄ½á¹¹£¬TÐÎÌúÐÄÊý¾¹´ïµ½16£¬ÓÉÓÚÈÆ×é¼Ó¹¤ÐÔ½µµÍ£¬Òò´Ë¿ÉÒÔ˵ÊDz»ÊÊÓÚÅúÁ¿Éú²úµÄ½á¹¹¡£
ÉÏÊöµÄÒÔÍùÀýÖдæÔÚÒÔÏÂÄÇÑùµÄÎÊÌâ¡£Èô²ÉÓÃÌØ¹«ÕÑ62-58445ºÅ¹«±¨¼°ÌØ¿ªÕÑ49-124508ºÅ¹«±¨ÄÇÑùµÄÈÆ×é½á¹¹£¬ÔòÈçÉÏËùÊö£¬ÔÚÖá±¶½ÇÔö´óʱ£¬¶¨×ÓµÄTÐÎÌúÐÄÊýÒ²³ÉÕý±ÈÔö´ó£¬´æÔÚ¾íÈÆÐÔ¼°¼Ó¹¤ÐÔ½µµÍµÄÎÊÌâ¡£
ÔÚÕâÐ©ÌØ¹«ÕÑ62-58445ºÅ¹«±¨¼°ÌØ¿ªÕÑ49-124508ºÅ¹«±¨Öж¼Ïàͬ£¬ÔÚÖá±¶½ÇΪ1ʱ£¬¶¨×ÓµÄTÐÎÌúÐÄÊýΪ4¡£ÀýÈ磬ÔÚʹÖá±¶½ÇΪ2ʱ£¬TÐÎÌúÐÄÊý±äΪ8£¬Öá±¶½ÇΪ4ʱ£¬TÐÎÌúÐÄÊý´ïµ½16£¬Öá±¶½ÇΪ8ʱ£¬TÐÎÌúÐÄÊý¾¹´ïµ½32¡£Ôڶ༫µç¶¯»úµÈÇé¿öÏ£¬ÓÐʱ±ØÐëÒªÖá±¶½Ç´óµÄÐýת½Ç¶È¼ì²â×°Öã¬ÔÚÕâÑùµÄÒÔÍùÀýÖУ¬ÈôÐγÉÖá±¶½Ç´óµÄ×°Öã¬ÔòÔÚÅúÁ¿Éú²úÐÔ·½Ãæ³ÉΪ²»ÏÖʵµÄ½á¹¹¡£
ÔÚרÀûµÚ2624747ºÅ¹«±¨ÄÇÑùµÄ½á¹¹ÖУ¬Êä³öÈÆ×éΪ1Ï࣬Àø´ÅÈÆ×éΪ3Ï࣬ÕâÑùÏàÊý¶à£¬ÎªÁËÈÆ×éÐ軨·Ñʱ¼ä£¬´æÔÚÉú²úÂʵĵÄÎÊÌ⣬»¹ÓÐÀø´ÅÈÆ×éµÄµçÔ´¼Û¸ñ°º¹óµÄÎÊÌâ¡£
ÔÚרÀûµÚ3103487ºÅ¹«±¨¼°×¨ÀûµÚ3182493ºÅ¹«±¨µÄÀý×ÓÖУ¬ÓÉÓÚÔÚ¶¨×ÓµÄTÐÎÌúÐÄÉϼ¯ÖоíÈÆÈÆ×飬Òò´ËÊÇÄܹ»ÀûÓûúе½øÐÐ×Ô¶¯¾íÈÆµÄ½á¹¹¡£µ«ÊÇ£¬ÓÉÓÚʹÔÑÊý°´ÕýÏÒ²¨ÐÎ×´±ä»¯£¬Òò´Ë´æÔÚÖ»ÈÆºÜÉÙÔÑÊýµÄTÐÎÌúÐÄ¡£´æÔÚµÄÎÊÌâÊÇ£¬×Ô¶¯¾íÈÆµÄÈÆÏß»úµÄµ¼¹Ü±ØÐëÏò½ö¾íÈÆÕæÕýºÜÉÙÔÑÊýµÄÈÆ×éµÄTÐÎÌúÐÄÒÆ¶¯£¬ÓÉÓÚµ¼¹Ü¶¨Î»ÐèҪʱ¼ä£¬Òò´Ë¾íÈÆ×÷ÒµµÄЧÂʲ»¸ß¡£
±¾·¢Ã÷ÊÇΪ½â¾öÕâÑùµÄÎÊÌâ¶øÌá³öµÄ£¬ÆäÄ¿µÄÔÚÓڵõ½ÖÆÔ칤ÐòÈÝÒ×µÄÐýת½Ç¶È¼ì²â×°Öü°Ê¹ÓÃËüµÄÐýתµç»ú¡£

·¢Ã÷ÄÚÈÝ
±¾·¢Ã÷ÊÇÓÉÉèÖÃ1ÏàÀø´ÅÈÆ×é¼°2ÏàÊä³öÈÆ×éµÄ¶¨×Ó¡¢ÒÔ¼°¾ßÓÐ͹¼«µÄת×Ó¹¹³ÉµÄÐýת½Ç¶È¼ì²â×°Öã¬ÉÏÊö2ÏàÊä³öÈÆ×é¾íÈÆÔÚÉÏÊö¶¨×ӵĶà¸öTÐÎÌúÐÄÉÏ£¬ÉÏÊö2ÏàÊä³öÈÆ×éµÄ¸÷ÔÑÊýÊÇͨ¹ý²ÉÓÃÔ¤Ïȶ¨ÒåµÄmÏàÈÆ×é(mΪ3¼°3ÒÔÉϵÄÕûÊý)¡¢²¢½«¸ÃmÏàÈÆ×éµÄÔÑÊý±ä»»Îª2Ïà¶øµÃµ½µÄ¡£
ÕâÑù£¬¸ù¾Ý±¾·¢Ã÷£¬2ÏàÊä³öÈÆ×éµÄ¸÷ÔÑÊýÓÉÓÚÊÇͨ¹ý²ÉÓÃÔ¤Ïȶ¨ÒåµÄmÏàÈÆ×é(mΪ3¼°3ÒÔÉϵÄÕûÊý)¡¢²¢½«¸ÃmÏàÈÆ×éµÄÔÑÊý±ä»»Îª2Ïà¶øµÃµ½µÄ£¬Òò´ËÏàÊý´ÓmÏà¼õÉÙΪ2Ï࣬ËùÒԽṹ¼òµ¥£¬ÖÆÔ칤ÐòÈÝÒס£


ͼ1ËùʾΪ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°Öù¹³ÉµÄ¹¹³Éͼ¡£
ͼ2Ϊ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖÐÏà¶ÔÓÚ¿Õ¼ä1´ÎµÄ´ÅͨµÄʸÁ¿Í¼¡£
ͼ3Ϊ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖÐÏà¶ÔÓÚ¿Õ¼ä9´ÎµÄ´ÅͨµÄʸÁ¿Í¼¡£
ͼ4Ϊ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖÐÏà¶ÔÓÚ¿Õ¼ä5´ÎµÄ´ÅͨµÄʸÁ¿Í¼¡£
ͼ5ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ5ÏàÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ6ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ5Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ7ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×Ó(ÔÑÊýÒ²ÔÊÐíСÊýµÄÇé¿ö)µÄ˵Ã÷ͼ¡£
ͼ8ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×Ó(ÔÑÊýÈ¡ÕûÊýµÄÇé¿ö)µÄ˵Ã÷ͼ¡£
ͼ9ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐÎ(ͼ7µÄÈÆ×鹿¸ñʱ)µÄ˵Ã÷ͼ¡£
ͼ10ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐÎ(ͼ8µÄÈÆ×鹿¸ñʱ)µÄ˵Ã÷ͼ¡£
ͼ11ËùʾΪ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°Öù¹³ÉµÄ¹¹³Éͼ¡£
ͼ12Ϊ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖÐÏà¶ÔÓÚ¿Õ¼ä1´ÎµÄ´ÅͨµÄʸÁ¿Í¼¡£
ͼ13Ϊ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖÐÏà¶ÔÓÚ¿Õ¼ä7´ÎµÄ´ÅͨµÄʸÁ¿Í¼¡£
ͼ14Ϊ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖÐÏà¶ÔÓÚ¿Õ¼ä3´ÎµÄ´ÅͨµÄʸÁ¿Í¼¡£
ͼ15ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3ÏàÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ16ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ17ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×Ó(ÔÑÊýÒ²ÔÊÐíСÊýµÄÇé¿ö)µÄ˵Ã÷ͼ¡£
ͼ18ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×Ó(ÔÑÊýÈ¡ÕûÊýµÄÇé¿ö)µÄ˵Ã÷ͼ¡£
ͼ19ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐÎ(ͼ17µÄÈÆ×鹿¸ñʱ)µÄ˵Ã÷ͼ¡£
ͼ20ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐÎ(ͼ18µÄÈÆ×鹿¸ñʱ)µÄ˵Ã÷ͼ¡£
ͼ21ËùʾΪ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°Öù¹³É±äÐÎÀýµÄ¹¹³Éͼ¡£
ͼ22ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃ(ͼ21)ÖеÄÖá±¶½ÇΪ2¡¢²ÛÊý9µÄÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ23ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃ(ͼ21)ÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ24ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃ(ͼ21)ÖеľßÌåÈÆ×éÒ»¸öÀý×Ó(ÔÑÊýÒ²ÔÊÐíСÊýµÄÇé¿ö)µÄ˵Ã÷ͼ¡£
ͼ25ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃ(ͼ21)ÖеľßÌåÈÆ×éÒ»¸öÀý×Ó(ÔÑÊýÈ¡ÕûÊýµÄÇé¿ö)µÄ˵Ã÷ͼ¡£
ͼ26ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐÎ(ͼ24µÄÈÆ×鹿¸ñʱ)µÄ˵Ã÷ͼ¡£
ͼ27ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬2ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐÎ(ͼ25µÄÈÆ×鹿¸ñʱ)µÄ˵Ã÷ͼ¡£
ͼ28ËùʾΪ±¾·¢Ã÷ʵʩÐÎ̬3ÓйصÄÐýת½Ç¶È¼ì²â×°Öù¹³ÉµÄ¹¹³Éͼ¡£
ͼ29ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬3ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3ÏàÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ30ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬3ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ31ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬3ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ32ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬3ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐεÄ˵Ã÷ͼ¡£
ͼ33ËùʾΪ±¾·¢Ã÷ʵʩÐÎ̬3ÓйصÄÐýת½Ç¶È¼ì²â×°Öù¹³É±äÐÎÀýµÄ¹¹³ÉÀý¡£
ͼ34ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬3ÓйصÄÐýת½Ç¼ì²â×°ÖÃÖеÄ3ÏàÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ35ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬3ÓйصÄÐýת½Ç¼ì²â×°ÖÃÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ36ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬3ÓйصÄÐýת½Ç¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ37ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬3ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐεÄ˵Ã÷ͼ¡£
ͼ38ËùʾΪ±¾·¢Ã÷ʵʩÐÎ̬4ÓйصÄÐýת½Ç¶È¼ì²â×°Öù¹³ÉµÄ¹¹³Éͼ¡£
ͼ39ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬4ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3ÏàÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ40ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬4ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ41ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬4ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ42ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬4ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐεÄ˵Ã÷ͼ¡£
ͼ43ËùʾΪ±¾·¢Ã÷ʵʩÐÎ̬5ÓйصÄÐýת½Ç¶È¼ì²â×°Öù¹³ÉµÄ¹¹³Éͼ¡£
ͼ44ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬5ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3ÏàÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ45ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬5ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ46ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬5ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ47ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬5ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐεÄ˵Ã÷ͼ¡£
ͼ48ËùʾΪ±¾·¢Ã÷ʵʩÐÎ̬5ÓйصÄÐýת½Ç¶È¼ì²â×°Öù¹³É±äÐÎÀýµÄ¹¹³Éͼ¡£
ͼ49ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬5ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃ(ͼ48)ÖеÄ3ÏàÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ50ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬5ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃ(ͼ48)ÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ51ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬5ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃ(ͼ48)ÖеľßÌåÈÆ×éÒ»¸öÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ52ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬5ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃ(ͼ48)ÖеÄ2ÏàÊä³öµçѹ²¨ÐεÄ˵Ã÷ͼ¡£
ͼ53ËùʾΪ±¾·¢Ã÷ʵʩÐÎ̬6ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄÖá±¶½ÇÓëÏàͬ´ÎÊýµÄ´Åͨ·¢ÉúÀý×ÓµÄ˵Ã÷ͼ¡£
ͼ54Ϊ±¾·¢Ã÷ʵʩÐÎ̬6ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄÏà¶ÔÓÚ¿Õ¼ä4´ÎµÄ´ÅͨµÄʸÁ¿Í¼¡£
ͼ55ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬6ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3ÏàÈÆ×éÒ»¸öÀý×Ó(»ñÈ¡ÓëÖá±¶½ÇÏàͬ´ÎÊýµÄ´ÅͨµÄÈÆ×éÒ»¸öÀý×Ó)µÄ˵Ã÷ͼ¡£
ͼ56ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬6ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×Ó(»ñÈ¡ÓëÖá±¶½ÇÏàͬ´ÎÊýµÄ´ÅͨµÄÈÆ×éÒ»¸öÀý×Ó)µÄ˵Ã÷ͼ¡£
ͼ57ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬6ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×Ó(»ñÈ¡ÓëÖá±¶½ÇÏàͬ´ÎÊýµÄ´ÅͨµÄÈÆ×éÒ»¸öÀý×Ó)µÄ˵Ã÷ͼ¡£
ͼ58ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬6ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ2ÏàÊä³öµçѹ²¨ÐεÄ˵Ã÷ͼ¡£
ͼ59ËùʾΪ±¾·¢Ã÷ʵʩÐÎ̬8ÓйصÄÐýת½Ç¶È¼ì²â×°Öù¹³ÉµÄ¹¹³Éͼ¡£
ͼ60Ϊ±¾·¢Ã÷ʵʩÐÎ̬8ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖÐÏà¶ÔÓÚ¿Õ¼ä2´ÎµÄ´ÅͨµÄʸÁ¿Í¼¡£
ͼ61Ϊ±¾·¢Ã÷ʵʩÐÎ̬8ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖÐÏà¶ÔÓÚ¿Õ¼ä4´ÎµÄ´ÅͨµÄʸÁ¿Í¼¡£
ͼ62ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬8ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3ÏàÈÆ×é(Ö®1)µÄ˵Ã÷ͼ¡£
ͼ63ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬8ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3ÏàÈÆ×é(Ö®2)µÄ˵Ã÷ͼ¡£
ͼ64ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬8ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3ÏàÈÆ×é(Ö®3)µÄ˵Ã÷ͼ¡£
ͼ65ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬8ÓеÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×Ó(Ö®1)µÄ˵Ã÷ͼ¡£
ͼ66ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬8ÓеÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×Ó(Ö®2)µÄ˵Ã÷ͼ¡£
ͼ67ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬8ÓеÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄ3Ïà2Ïà±ä»»ºóµÄÈÆ×éÒ»¸öÀý×Ó(Ö®3)µÄ˵Ã÷ͼ¡£
ͼ68ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬8ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×Ó(Ö®1)µÄ˵Ã÷ͼ¡£
ͼ69ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬8ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×Ó(Ö®2)µÄ˵Ã÷ͼ¡£
ͼ70ΪÓñí¸ñÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬8ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеľßÌåÈÆ×éÒ»¸öÀý×Ó(Ö®3)µÄ˵Ã÷ͼ¡£
ͼ71ΪÓÃÇúÏßÐÎʽ±íʾ±¾·¢Ã÷ʵʩÐÎ̬8ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÖеÄÈ¡¾öÓÚÓÐÎÞÆ«ÐĶøÒýÆðµÄ¼ì²âλÖÃÎó²î±ä»¯µÄ˵Ã÷ͼ¡£
ͼ72ËùʾΪ½«±¾·¢Ã÷ʵʩÐÎ̬1~8ÓйصÄÐýת½Ç¶È¼ì²â×°ÖÃÓÃÓÚ¾ßÓÐצÐÎÀø´ÅÌúÐĵķ¢µç»úµÄʵʩÐÎ̬9¹¹³ÉµÄ¹¹³Éͼ¡£
ͼ73ËùʾΪÒÑÓеÄÐýת½Ç¶È¼ì²â×°Öù¹³ÉÖ®Ò»ÀýµÄ¹¹³Éͼ¡£
ͼ74ËùʾΪÒÔÍùµÄÐýת½Ç¶È¼ì²â×°Öù¹³ÉÆäËüÀý×ӵĹ¹³Éͼ¡£
¾ßÌåʵʩÀý·½Ê½
ʵʩÐÎ̬1ÕâÀï×÷ΪʵʩÐÎ̬ËùʾµÄÊÇÖá±¶½ÇΪ4(TÐÎÌúÐÄÊýΪ10£¬5Ïà2Ïà±ä»»)µÄÐýת½Ç¶È¼ì²â×°ÖõÄÀý×Ó¡£ÔÚͼ73¼°Í¼74ËùʾµÄÒÔÍùÀýÖУ¬ÈçÉÏËùÊö£¬Ëæ×ÅÖá±¶½ÇÔö¼Ó£¬TÐÎÌúÐÄÊýÒ²³ÉÕý±ÈÔö¼Ó£¬ÀýÈçÈçͼ74µÄÀý×ÓËùÊö£¬ÔÚÖá±¶½ÇΪ4ʱ£¬TÐÎÌúÐÄÊý¾¹´ïµ½16£¬ÓÉÓÚÈÆ×é¼Ó¹¤ÐÔ½µµÍ£¬Òò´ËÊDz»ÊʺÏÅúÁ¿Éú²úµÄ½á¹¹¡£
µ«ÊÇ£¬¸ù¾Ý±¾·¢Ã÷£¬¼´Ê¹Öá±¶½ÇÔö´ó£¬ÓëÉÏÊöµÄÒÔÍùÀýÏà±È£¬Äܹ»¼õСTÐÎÌúÐÄÊý£¬¶ø¹¹³ÉÐýת½Ç¶È¼ì²â×°Ö᣹ØÓÚÆä½á¹¹Ôò˵Ã÷ÈçÏ¡£
ͼ1ËùʾΪÖá±¶½ÇΪ4¡¢¶¨×ÓµÄTÐÎÌúÐÄÊýΪ10µÄ±¾·¢Ã÷ʵʩÐÎ̬1ÓйصÄÐýת½Ç¶È¼ì²â×°Öá£ÔÚͼ1ÖУ¬1Ϊ¶¨×Ó£¬2Ϊת×Ó£¬3Ϊ¶¨×Ó1ÉÏÉèÖõÄ10¸öTÐÎÌúÐÄ£¬4Ϊ¶¨×Ó1µÄÌúÐÄ£¬5Ϊ¾íÈÆÔÚTÐÎÌúÐÄ3ÉϵÄÈÆ×飬6Ϊת×Ó2µÄÌúÐÄ£¬7ΪÌúÐÄ6ÉÏÉèÖõÄ4¸ö͹¼«£¬10ΪÐýת½Ç¶È¼ì²â×°Öá£Èçͼ1Ëùʾ£¬¶¨×Ó1ÓɾßÓÐ10¸öTÐÎÌúÐÄ3µÄÌúÐÄ4¼°1ÏàÀø´ÅÈÆ×é5ºÍ2ÏàÊä³öÈÆ×é(ͼʾʡÂÔ)¹¹³É¡£ÁíÍ⣬ת×Ó2ÓþßÓÐ4¸ö͹¼«7µÄÌúÐÄ6¹¹³É£¬Ïà¶ÔÓÚ¶¨×Ó1¿É×ÔÓÉÐýת£¬Ê¹ÆäÆðµ½×÷ΪÖá±¶½Ç4µÄÐýת½Ç¶È¼ì²â×°ÖÃ10µÄ¹¦ÄÜ¡£
ÏÂÃæÐðÊö1ÏàÀø´ÅÈÆ×é5¼°2ÏàÊä³öÈÆ×éÊÇÔõÑù¹¹³ÉµÄ¡£Àø´ÅÈÆ×é5¼¯ÖоíÈÆÔÚTÐÎÌúÐıêºÅ1~10µÄTÐÎÌúÐÄ3µÄ¸÷TÐÎÌúÐÄÉÏ¡£ÁíÍ⣬ÊÇÕâÑù¾íÈÆµÄ£¬Ê¹µÃÆä¼«ÐÔÔÚÏàÁÚµÄTÐÎÌúÐÄ3ÉÏÏà·´¡£¼´£¬Äܹ»¹¹³É10¸ö¼«µÄ´Å¼«ÄÇÑù½øÐÐÈÆÏß¡£Õâʱ£¬À´Ñо¿Ò»ÏÂ×îºÃÔõÑù¾íÈÆÊä³öÈÆ×顣ΪÁËÆðµ½×÷ΪÐýת½Ç¶È¼ì²â×°ÖõŦÄÜ£¬ÔÚÆøÏ¶ÖвúÉúµÄ´ÅͨÖУ¬±ØÐë»ñÈ¡Óë(Àø´ÅµÄ¼«¶ÔÊý)¡À(Öá±¶½Ç)ÏàµÈµÄ¿Õ¼ä´ÎÊýµÄ´Åͨ¡£ÕâÀÓÉÓÚÀø´ÅµÄ¼«¶ÔÊýΪ5£¬Öá±¶½ÇΪ4£¬Òò´Ë³ÉΪ5¡À4£½1£¬9±ØÐë»ñÈ¡¿Õ¼ä1´Î»ò9´Î´Åͨ(ÕâÀËùν¿Õ¼ä1´ÎÊǽ«»úе½Ç¶È360¶È×÷Ϊ1¸öÖÜÆÚµÄ´ÎÊý)¡£ÁíÍ⣬ÓÉÓÚ²»ÄÜ»ñÈ¡Àø´ÅµÄ¼«¶ÔÊý»òÆäÕû±¶ÊýµÄ¿Õ¼ä´ÎÊýµÄ´Åͨ£¬Òò´ËÈô¶ÔÆðµ½×÷ΪÐýת½Ç¶È¼ì²â×°ÖõŦÄÜÓõÄ2ÏàÊä³öÈÆ×éËù±ØÐèµÄÌõ¼þ½øÐÐÕûÀí£¬ÔòÓÐ(1)»ñÈ¡¿Õ¼ä1´Î»ò¿Õ¼ä9´ÎµÄ´Åͨ¡£
(2)²»»ñÈ¡¿Õ¼ä5´Î»òÆäÕûÊý±¶µÄ´Åͨ¡£
ΪÁËÂú×ã¸ÃÌõ¼þ£¬Ê×ÏȼÙÏ뿼ÂÇ5ÏàµÄÊä³öÈÆ×飬ͨ¹ý½«¸Ã5ÏàÈÆ×é±ä»»Îª2Ï࣬¾Í×÷ΪsinÊä³ö¼°cosÊä³öµÄ2ÏàÈÆ×é(ÒÔϳÆÎª¦ÁÏ༰¦ÂÏàÈÆ×é)¡£
Ê×ÏÈ£¬¿¼ÂÇÂú×ãÌõ¼þ(1)µÄ5ÏàÈÆ×é¡£ÓÚÊÇ£¬¾ö¶¨²ÉÓÃʸÁ¿Í¼À´¿¼ÂÇ¡£Í¼2¼°Í¼3ËùʾΪ¿Õ¼ä1´Î¼°9´ÎµÄ´ÅͨÓë¸÷TÐÎÌúÐÄÉϾíÈÆµÄÈÆ×éÒÔÔõÑùµÄÏàλ½»Á´µÄÇé¿ö¡£¸÷ʸÁ¿µÄ±êºÅ±íʾTÐÎÌúÐıêºÅ£¬ËùʾΪ¸÷TÐÄÌúÐıêºÅËù¾íÈÆµÄÈÆ×é½»Á´µÄ´ÅͨÏàλ¡£ÉèÏàÎ»ÑØÄæÊ±ÕëÊÇÏò×Åǰ½øµÄ·½Ïò¡£¸ù¾Ý¸ÃʸÁ¿Í¼£¬ÈôÔÚTÐαêºÅ1¡¢5¡¢7¼ÓÉÏÈÆ×飬¶øÇÒʹTÐÎÌúÐıêºÅ5¼°7µÄ¼«ÐÔÓëTÐÎÌúÐÄ1µÄ¼«ÐÔÏà·´£¬ÔòÄܹ»»ñÈ¡¿Õ¼ä1´Î¼°9´ÎµÄ2ÖÖ´Åͨ¡£Èô½«Óë¸ÃÈÆ×éÿ¸öÆ«Àëµç½Ç¶È72¶ÈµÄÈÆ×éÐγÉʣϵÄ4Ïಿ·ÖµÄ½á¹¹£¬ÔòÄÜ»ñÈ¡×÷ΪÐýת½Ç¶È¼ì²â×°ÖóÉÁ¢ÓõĿռä1´Î¼°9´Î´Åͨ£¬¶øÇÒ¹¹³ÉÿÏàÆ«Àëµç½Ç¶È72¶ÈµÄ5ÏàÈÆ×é(ÕâÀÉèµç½Ç¶ÈΪ»úе½Ç¶È³ËÒÔÖá±¶½ÇµÄ½Ç¶È)¡£¼´£¬¹¹³Éͼ5µÄ±í¸ñËùʾµÄÈÆ×鹿¸ñ¡£Í¼ÖУ¬ÔÑÊýÓÉÓÚ½øÐÐÁ˹éÒ»»¯£¬ËùÒÔÓáÀ1.0±íʾ£¬·ûºÅµÄ²»Í¬±íʾ¼«ÐԵIJ»Í¬¡£ÁíÍ⣬0.0µÄµØ·½±íʾ²»¼ÓÉÏÈÆ×é¡£
ÕâÊÇÂú×ãÌõ¼þ(1)µÄ5ÏàÊä³öÈÆ×é¡£Èô±£³Ö5Ï಻±äµÄÐÎ̬£¬Ôò²»Âú×ãÌõ¼þ(2)£¬¶øÇÒ¼ÙÉ輴ʹÆðµ½×÷ΪÐýת½Ç¶È¼ì²â×°ÖõŦÄÜ£¬µ«´¦Àíµç·Ҳ¸´ÔÓ£¬²¢ÇÒ¼Û¸ñ°º¹ó¡£Òò´Ë£¬ÎªÁ˽«5ÏàÈÆ×é±ä»»Îª2ÏàÈÆ×é(¦ÁÏà¡¢¦ÂÏà)£¬¶¨ÒåÏÂʽ(1)ÄÇÑùµÄ5Ïà2Ïà±ä»»¡£
NαNβ]]>=kcosγcos(γ+2π5)cos(γ+4π5)cos(γ+6π5)cos(γ+8π5)sinγsin(γ+2π5)sin(γ+4π5)sin(γ+6π5)sin(γ+8π5)N1N2N3N4N5···(1)]]>ʽÖУ¬k±íʾ³£Êý£¬N¦Á¼°N¦Â±íʾÊä³öÈÆ×é¦ÁÏ༰¦ÂÏàµÄÔÑÊý£¬Ni(i£½1£¬...£¬5)±íʾ5ÏàÊä³öÈÆ×éµÚi×éµÄÔÑÊý¡£ÁíÍ⣬¦ÃΪÈÎÒâµÄ½Ç¶È¡£
Èô¸ù¾Ýʽ(1)±íʾµÄ5Ïà2Ïà±ä»»À´¾ö¶¨¸÷TÐÎÌúÐĵÄÔÑÊý£¬ÔòÓëÈÆ×é½»Á´µÄ´ÅͨҲ½øÐÐ5Ïà2Ïà±ä»»¡£ÁíÍ⣬¸ù¾Ý¸Ã5Ïà2Ïà±ä»»£¬½«Âú×ãÌõ¼þ(2)¡£ÆäÔ­ÒòÊÇ£¬Èô¸ù¾ÝÏà¶ÔÓÚ¿Õ¼ä5´Î´ÅͨµÄʸÁ¿Í¼(ͼ4)£¬ÔÚ5ÏàÈÆ×éÖд¦ÓÚÏàͬÏà룬ÕâÖÖÇé¿öϺÜÃ÷ÏÔ£¬¸ù¾Ýʽ(1)½«È¡Ïû¡£Òò¶ø¿ÉÒÔÖªµÀ£¬²ÉÓÃ5Ïà2Ïà±ä»»»áÂú×ãÌõ¼þ(2)£¬¦ÁÏàÊä³öÈÆ×é¹¹³ÉÆðµ½×÷ΪÐýת½Ç¶È¼ì²â×°ÖõŦÄܵÄÈÆ×鹿¸ñ¡£Òò´Ë£¬¾ßÌåÀ´ËµÔÚʽ(1)ÖÐÉè¦Ã£½0£¬k£½1£¬Í¼6ËùʾΪ½«Í¼5Ïà2Ïà±ä»»Ê±µÄÀý×Ó¡£Í¼ÖУ¬Ð¡Êýµã5λÒÔϽøÐÐËÄÉáÎåÈ롣ͼ7¼°Í¼8ËùʾΪ¸ù¾Ýͼ6¾ßÌå¾ö¶¨Êµ¼ÊÔÑÊýµÄÀý×Ó¡£Àø´ÅÈÆ×é±íʾ¶Ôͼ6µÄÔÑÊý³ËÒÔ50µÄÖµ£¬Êä³öÈÆ×é±íʾ¶Ôͼ6µÄÔÑÊý³ËÒÔ100µÄÖµ¡£ÁíÍ⣬ͼ7ÊǶÔÔÑÊýÔÊÐíСÊýµÄÇé¿ö(ÀíÏëÇé¿ö)¡£Í¼8ÊÇСÊýµãÒÔϽøÐÐËÄÉáÎåÈëµÄÇé¿ö¡£
ͼ9¼°Í¼10µÄÇúÏßËùÊ¾ÎªÈÆ×鹿¸ñ²ÉÓÃͼ7¼°Í¼8ÄÇÑùµÄ¹æ¸ñ¡¢²¢ÔÚÓý»Á÷µçÁ÷½«Àø´ÅÈÆ×é½øÐÐÀø´Åʱ2ÏàÊä³öÈÆ×éÖгöÏֵĵçÑ¹Ëæ×ª×ÓλÖÃÈçºÎ±ä»¯µÄÇé¿ö¡£ÔÚÕâЩͼÖУ¬20Ϊ¦ÁÏàÈÆ×飬21Ϊ¦ÂÏàÈÆ×é¡£ÁíÍ⣬ºáÖáÓûúе½Ç¶È±íʾת×ÓλÖã¬×ÝÖá±íʾÊä³öÈÆ×éÖвúÉúµÄµçѹ¡£Í¼Öеçѹ·ûºÅΪ¸ºÊDZíʾÏà¶ÔÓÚÀø´ÅÈÆ×éµÄµçÁ÷ÆäÏàλ·´Ïà¡£ÔÚÈκÎÇé¿öÏ£¬ÓÉÓÚµçѹ¶¼ÊÇÕýÏÒ²¨ÐÎ×´£¬»¥ÏàÆ«ÒÆµç½Ç¶È90¶È£¬Òò´ËÄܹ»È·ÈÏÊÇ×÷ΪÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£
¸ù¾ÝÉÏÊö£¬ÊǼÙÏ뽫Êä³öÈÆ×鶨ÒåΪ5ÏàÈÆ×飬Ȼºó½øÐÐ5Ïà2Ïà±ä»»£¬Í¨¹ýÕâÑùµÃµ½2ÏàÊä³öÈÆ×é¡£ÕâÑù£¬Äܹ»È·ÈÏÊÇ×÷ΪÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£Í¨¹ý²ÉÓÃÕâÑùµÄ½á¹¹£¬ÓëÀø´ÅÓÃ3Ï๹³ÉµÄÐýת½Ç¶È¼ì²â×°ÖÃÏà±È£¬ÓÉÓÚÏàÊý¼õÉÙ£¬Òò´Ë¾ßÓнṹ¼òµ¥¡¢ÖÆÔ칤ÐòÈÝÒ×µÄЧ¹û¡£ÔÙÓУ¬ÈôÊÇÒÔÍùÀý£¬ÔÚÖá±¶½ÇΪ4ʱ£¬¶¨×ÓµÄTÐÎÌúÐÄΪ16£¬¶ø¸ù¾Ý±¾·¢Ã÷£¬TÐÎÌúÐÄÌúÊýÖ»Òª10¼´¿É¡£¼´£¬¼´Ê¹Öá±¶½ÇÔö´ó£¬ÓëÒÔÍùÀýÏà±È£¬Ò²ÓÉÓÚÄܹ»¼õÉÙ¶¨×ÓµÄTÐÎÌúÐÄÊý¶ø¹¹³ÉÐýת½Ç¶È¼ì²â×°Öã¬Òò´Ë»¹¾ßÓоíÈÆÐÔ¡¢¼Ó¹¤ÐԺöøÇÒÅúÁ¿Éú²úÐԺõÄЧ¹û¡£ÔÙÓУ¬ÔÚÒÔÍùÀýÖÐÓÐʱʹÔÑÊý°´ÕýÏÒ²¨ÐÎ×´±ä»¯£¬ÔÚÕâÖÖÇé¿öÏ´æÔÚµÄÎÊÌâÊÇ£¬¾ßÓнö¾íÈÆÕæÕýºÜÉÙÔÑÊýµÄTÐÎÌúÐÄ£¬ÎªÁ˸ÃTÐÎÌúÐÄ£¬ÓÉÓÚ±ØÐë½øÐкܻ¨Ê±¼äµÄ×Ô¶¯¾íÈÆµÄ¾íÈÆ»úµÄµ¼¹Ü¶¨Î»£¬Òò´ËÈÆ×é×÷ҵЧÂʽµµÍ£¬¶øÔÚ±¾·¢Ã÷ÖУ¬¸ù¾Ýͼ6¡¢7¡¢8¿ÉÖª£¬ÓÉÓÚ´æÔÚ¶à¸ö²»¼ÓÉÏÊä³öÈÆ×éÒ²¿ÉÒÔµÄTÐÎÌúÐÄ£¬Òò´Ë»¹¾ßÓÐÄܹ»Ìá¸ßÈÆ×é×÷ҵЧÂʵÄЧ¹û¡£
ÕâÀïÊǶÔÓÚ5Ïà2Ïà½øÐÐÁËÐðÊö£¬µ«Ò»°ãͨ¹ý½«mÏà(mΪ3¼°3ÒÔÉϵÄÕûÊý)±ä»»Îª2Ï࣬ҲÄܹ»µÃµ½×÷ΪÐýת½Ç¶È¼ì²â×°Ööø¶¯×÷µÄÊä³öÈÆ×é¡£ÔÚÕâÖÖÇé¿öÏ£¬Ö»Òª¼ÓÒÔÏÂÄÇÑù¶¨ÒåmÏà2Ïà±ä»»¼´¿É¡£
Nαi=kΣn=1mNnicos(γ+2(n-1)mπ)······(2)]]>Nαi=kΣn=1mNnicos(γ+2(n-1)mπ)······(2)]]>ÕâÀÔÚʽ(2)¼°(3)ÖУ¬¦ÃΪÈÎÒâ³£Êý£¬kΪ²»ÎªÁãµÄÈÎÒâ³£Êý£¬Ï±êµÄi±íʾTÐÎÌúÐıêºÅ£¬¦Á¼°¦Â±íʾ±ä»»ºóµÄ2ÏàÈÆ×飬n±íʾ±ä»»Ç°µÄµÚnÏà¡£¼´£¬N¦Ái¼°N¦Âi·Ö±ð±íʾµÚi¸öTÐÎÌúÐĵĦÁÏ༰¦ÂÏàÈÆ×éµÄÔÑÊý£¬Nni±íʾµÚi¸öTÐÎÌúÐĵĵÚnÏàÈÆ×éµÄÔÑÊý¡£ÕâÑù£¬½«mÏàÈÆ×é±ä»»Îª2Ïà¶ø¹¹³ÉµÄÈÆ×鵱ȻҲÄܵõ½Í¬ÑùµÄЧ¹û¡£ÁíÍ⣬±¾·¢Ã÷µÄÐýת½Ç¶È¼ì²â×°Öõĸ÷TÐÎÌúÐĵÄÔÑÊý²»ÐèÒªÓëmÏà2Ïà±ä»»Ëù¾ö¶¨µÄÔÑÊýÑϸñÒ»Ö¡£ÀýÈçÈçǰËùÊö£¬Èçͼ9¼°Í¼10Ëùʾ£¬ÎÞÂÛСÊýµãÒÔÏÂËÄÉáÎåÈë»òÕß²»ËÄÉáÎåÈ룬×÷ΪÐýת½Ç¶È¼ì²â×°Öõ͝×÷¶¼Ã»ÓÐÎÊÌâ¡£ÔÙÓУ¬¼´Ê¹¼ÙÉèÀýÈç´ÓÀûÓÃmÏà2Ïà±ä»»Ëù¾ö¶¨µÄÔÑÊýÆ«Àë10£¥×óÓÒµÄÔÑÊý£¬Í¼10µÄÕýÏÒ²¨Ò²½öÆ«Àë10£¥×óÓÒ£¬µ±È»²»Ëðº¦ÉÏÊöЧ¹û£¬¶øÇÒ×÷ΪÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£
ʵʩÐÎ̬2ÔÚÉÏÊöʵʩÐÎ̬1ÖУ¬ÐðÊöµÄÊǹØÓÚ5Ïà2Ïà±ä»»µÄ¾ßÌåÀý¼°½«Ò»°ãµÄmÏàÈÆ×é±ä»»Îª2ÏàµÄ·½·¨£¬¶øÔÚ±¾ÊµÊ©ÐÎ̬ÖУ¬Ëù¾ÙµÄ²ÉÓÃ3Ïà2Ïà±ä»»¶ø¹¹³ÉÈÆ×éµÄÀý×Ó¡£
ͼ11ËùʾΪÖá±¶½ÇΪ4¡¢TÐÎÌúÐÄÊýΪ9µÄÐýת½Ç¶È¼ì²â×°Öá£ÔÚ±¾ÊµÊ©ÐÎ̬ÖУ¬TÐÎÌúÐĸöÊýΪ3n(nΪ×ÔÈ»Êý£¬ÕâÊÇn£½3)¡£ÔÚͼ11ÖУ¬1Ϊ¶¨×Ó£¬2Ϊת×Ó£¬3Ϊ¶¨×Ó1ÉÏÉèÖõÄ9¸öTÐÎÌúÐÄ£¬4Ϊ¶¨×Ó1µÄÌúÐÄ£¬5Ϊ¾íÈÆÔÚTÐÎÌúÐÄ3ÉϵÄÈÆ×é¡¢6Ϊת×Ó2µÄÌúÐÄ£¬7ΪÌúÐÄ6ÉÏÉèÖõÄ4¸ö͹¼«£¬10ΪÐýת½Ç¶È¼ì²â×°Ö᣶¨×Ó1ÓɾßÓÐ9¸öTÐÎÌúÐÄ3µÄÌúÐÄ4¼°1ÏàÀø´ÅÈÆ×é5ºÍ2ÏàÊä³öÈÆ×é(ͼʾʡÂÔ)¹¹³É¡£ÁíÍ⣬ת×Ó2ÓþßÓÐ4¸ö͹¼«7µÄÌúÐÄ6¹¹³É£¬Ïà¶ÔÓÚ¶¨×Ó1¿É×ÔÓÉÐýת£¬Ê¹Æä×÷ΪÖá±¶½Ç4µÄÐýת½Ç¶È¼ì²â×°ÖÃ10¶ø¶¯×÷¡£
ÏÂÃæÐðÊö1ÏàÀø´ÅÈÆ×é5¼°2ÏàÊä³öÈÆ×éÊÇÔõÑù¹¹³ÉµÄ¡£Àø´ÅÈÆ×é5¼¯ÖоíÈÆÔÚTÐÎÌúÐıêºÅ1~9µÄTÐÎÌúÐÄ3µÄ¸÷TÐÎÌúÐÄÉÏ¡£ÁíÍ⣬Æä¼«ÐÔÄܹ»¹¹³É6¸ö¼«µÄ´Å¼«ÄÇÑù½øÐÐÈÆÏß¡£Õâʱ£¬À´Ñо¿Ò»ÏÂ×îºÃÔõÑù¾íÈÆÊä³öÈÆ×顣ΪÁËÆðµ½×÷ΪÐýת½Ç¶È¼ì²â×°ÖõŦÄÜ£¬ÔÚÆøÏ¶ÖвúÉúµÄ´ÅͨÖУ¬±ØÐë»ñÈ¡Óë(Àø´ÅµÄ¼«¶ÔÊý)¡À(Öá±¶½Ç)ÏàµÈµÄ¿Õ¼ä´ÎÊýµÄ´Åͨ¡£ÕâÀÓÉÓÚÀø´ÅµÄ¼«¶ÔÊýΪ3£¬Öá±¶½ÇΪ4£¬Òò´Ë³ÉΪ4¡À3£½1£¬7±ØÐë»ñÈ¡¿Õ¼ä1´Î»ò7´Î´Åͨ(ÕâÀËùν¿Õ¼ä1´ÎÊǽ«»úе½Ç¶È360¶È×÷Ϊ1¸öÖÜÆÚµÄ´ÎÊý)¡£ÁíÍ⣬ÓÉÓÚ²»ÄÜ»ñÈ¡Àø´ÅµÄ¼«¶ÔÊý»òÆäÕû±¶ÊýµÄ¿Õ¼ä´ÎÊýµÄ´Åͨ£¬Òò´ËÈô¶ÔÆðµ½×÷ΪÐýת½Ç¶È¼ì²â×°ÖõŦÄÜÓõÄ2ÏàÊä³öÈÆ×éËù±ØÐèµÄÌõ¼þ½øÐÐÕûÀí£¬ÔòÓÐ(1)»ñÈ¡¿Õ¼ä1´Î»ò¿Õ¼ä7´ÎµÄ´Åͨ¡£
(2)²»»ñÈ¡¿Õ¼ä3´Î»òÆäÕûÊý±¶µÄ´Åͨ¡£
ΪÁËÂú×ã¸ÃÌõ¼þ£¬Ê×ÏȼÙÏ뿼ÂÇ3ÏàµÄÊä³öÈÆ×é(UÏà¡¢VÏà¡¢WÏà)£¬Í¨¹ý½«¸Ã3ÏàÈÆ×é±ä»»Îª2Ï࣬¾Í×÷ΪsinÊä³ö¼°cosÊä³öµÄ2ÏàÈÆ×é(ÒÔϳÆÎª¦ÁÏ༰¦ÂÏàÈÆ×é)¡£
Ê×ÏÈ£¬¿¼ÂÇÂú×ãÌõ¼þ(1)µÄ3ÏàÈÆ×é¡£ÓÚÊÇ£¬¾ö¶¨²ÉÓÃʸÁ¿Í¼À´¿¼ÂÇ¡£Í¼12¼°Í¼13ËùʾΪ¿Õ¼ä1´Î¼°7´ÎµÄ´ÅͨÓë¸÷TÐÎÌúÐÄÉϾíÈÆµÄÈÆ×éÒÔÔõÑùµÄÏàλ½»Á´µÄÇé¿ö¡£¸÷ʸÁ¿µÄ±êºÅ±íʾTÐÎÌúÐıêºÅ£¬ËùʾΪ¸÷TÐÎÌúÐıêºÅËù¾íÈÆµÄÈÆ×é½»Á´µÄ´ÅͨÏàλ¡£ÉèÏàÎ»ÑØÄæÊ±ÕëÊÇÏò×ų¬Ç°µÄ·½Ïò¡£¸ù¾Ý¸ÃʸÁ¿Í¼£¬ÈôÔÚTÐαêºÅ1¡¢5¡¢6¼ÓÉÏÈÆ×飬¶øÇÒʹTÐÎÌúÐıêºÅ5¼°6µÄ¼«ÐÔÓëTÐÎÌúÐÄ1µÄ¼«ÐÔÏà·´£¬ÔòÄܹ»»ñÈ¡¿Õ¼ä1´ÎµÄ´Åͨ¡£Èô½«Óë¸ÃÈÆ×éÿ¸öÆ«Àëµç½Ç¶È120¶ÈµÄÈÆ×éÐγÉʣϵÄ3Ïಿ·ÖµÄ½á¹¹£¬ÔòÄÜ»ñÈ¡×÷ΪÐýת½Ç¶È¼ì²â×°ÖóÉÁ¢ÓõĿռä1´Î¼°7´Î´Åͨ£¬¶øÇÒ¹¹³ÉÿÏàÆ«Àëµç½Ç¶È120¶ÈµÄ3ÏàÈÆ×é(ÕâÀÉèµç½Ç¶ÈΪ»úе½Ç¶È³ËÒÔÖá±¶½ÇµÄ½Ç¶È)¡£¼´£¬¹¹³Éͼ15µÄ±í¸ñËùʾµÄÈÆ×鹿¸ñ¡£ÔÚÕâÀÔÑÊýÓÉÓÚ½øÐÐÁ˹éÒ»»¯£¬ËùÒÔÓáÀ1.0±íʾ£¬·ûºÅµÄ²»Í¬±íʾ¼«ÐԵIJ»Í¬¡£ÁíÍ⣬0.0µÄµØ·½±íʾ²»¼ÓÉÏÈÆ×é¡£
ÕâÊÇÂú×ãÌõ¼þ(1)µÄ3ÏàÊä³öÈÆ×é¡£Èô±£³Ö3Ï಻±äµÄÐÎ̬£¬Ôò²»Âú×ãÌõ¼þ(2)£¬¶øÇÒ¼ÙÉ輴ʹÆðµ½×÷ΪÐýת½Ç¶È¼ì²â×°ÖõŦÄÜ£¬µ«´¦Àíµç·Ҳ¸´ÔÓ£¬²¢ÇÒ¼Û¸ñ°º¹ó¡£Òò´Ë£¬ÎªÁ˽«3ÏàÈÆ×é±ä»»Îª2ÏàÈÆ×é(¦ÁÏà¡¢¦ÂÏà)£¬¶¨ÒåÏÂʽ(4)ÄÇÑùµÄ3Ïà2Ïà±ä»»¡£
NαNβ=kcosγcos(γ+2π3)cos(γ-2π3)sinγsin(γ+2π3)sin(γ-2π3)NUNVNW······(4)]]>Èô¸ù¾Ýʽ(4)±íʾµÄ3Ïà2Ïà±ä»»À´¾ö¶¨¸÷TÐÎÌúÐĵÄÔÑÊý£¬ÔòÓëÈÆ×é½»Á´µÄ´ÅͨҲ½øÐÐ3Ïà2Ïà±ä»»¡£ÁíÍ⣬¸ù¾Ý¸Ã3Ïà2Ïà±ä»»£¬½«Âú×ãÌõ¼þ(2)¡£ÆäÔ­ÒòÊÇ£¬Èô¸ù¾ÝÏà¶ÔÓÚ¿Õ¼ä3´Î´ÅͨµÄʸÁ¿Í¼(ͼ14)£¬ÔÚ3ÏàÈÆ×éÖд¦ÓÚÏàͬÏà룬ÕâÖÖÇé¿öϺÜÃ÷ÏÔ£¬¸ù¾Ýʽ(4)½«µÖÏû¡£Òò¶ø¿ÉÒÔÖªµÀ£¬²ÉÓÃ3Ïà2Ïà±ä»»»áÂú×ãÌõ¼þ(2)£¬2ÏàÊä³öÈÆ×é¹¹³ÉÆðµ½×÷ΪÐýת½Ç¶È¼ì²â×°ÖõŦÄܵÄÈÆ×鹿¸ñ¡£Òò´Ë£¬¾ßÌåÀ´ËµÔÚʽ(4)ÖÐÉè¦Ã£½0£¬k£½(2/3)1/2£¬Í¼16ËùʾΪ½«Í¼15µÄ3ÏàÈÆ×é½øÐÐ3Ïà2Ïà±ä»»Ê±µÄÀý×Ó¡£Í¼ÖУ¬Ð¡Êýµã5λÒÔϽøÐÐËÄÉáÎåÈ롣ͼ17¼°Í¼18ËùʾΪ¸ù¾Ýͼ16¾ßÌå¾ö¶¨Êµ¼ÊÔÑÊýµÄÀý×Ó£¬Àø´ÅÈÆ×é±íʾ¶Ôͼ16µÄÔÑÊý³ËÒÔ50µÄÖµ£¬Êä³öÈÆ×é±íʾ¶Ôͼ16µÄÔÑÊý³ËÒÔ150µÄÖµ¡£ÁíÍ⣬ͼ17ÊǶÔÔÑÊýÔÊÐíСÊýµÄÇé¿ö(ÀíÏëÇé¿ö)¡£Í¼18ÊÇСÊýµãÒÔϽøÐÐËÄÉáÎåÈëµÄÇé¿ö¡£
ͼ19¼°Í¼20µÄÇúÏßËùÊ¾ÎªÈÆ×鹿¸ñ²ÉÓÃͼ17¼°Í¼18ÄÇÑùµÄ¹æ¸ñ¡¢²¢ÔÚÓý»Á÷µçÁ÷½«Àø´ÅÈÆ×é½øÐÐÀø´Åʱ2ÏàÊä³öÈÆ×éÖгöÏֵĵçÑ¹Ëæ×ª×ÓλÖÃÈçºÎ±ä»¯µÄÇé¿ö¡£ÔÚÕâЩͼÖУ¬20Ϊ¦ÁÏàÈÆ×飬21Ϊ¦ÂÏàÈÆ×é¡£ÁíÍ⣬ºáÖáÓûúе½Ç¶È±íʾת×ÓλÖã¬×ÝÖá±íʾÊä³öÈÆ×éÖвúÉúµÄµçѹ¡£Í¼Öеçѹ·ûºÅΪ¸ºÊDZíʾÏà¶ÔÓÚÀø´ÅÈÆ×éµÄµçÁ÷ÆäÏàλ·´Ïà¡£ÔÚÈκÎÇé¿öÏ£¬ÓÉÓÚµçѹ¶¼ÊÇÕýÏÒ²¨ÐÎ×´£¬»¥ÏàÆ«ÒÆµç½Ç¶È90¶È(»úе½Ç¶È22.5¶È)£¬Òò´ËÄܹ»È·ÈÏÊÇ×÷ΪÖá±¶½ÇΪ4µÄÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£
¸ù¾ÝÉÏÊö£¬ÊǼÙÏ뽫Êä³öÈÆ×鶨ÒåΪ3ÏàÈÆ×飬Ȼºó½øÐÐ3Ïà2Ïà±ä»»£¬Í¨¹ýÕâÑùµÃµ½2ÏàÊä³öÈÆ×é¡£ÕâÑù£¬Äܹ»È·ÈÏÊÇ×÷ΪÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£Í¨¹ý²ÉÓÃÕâÑùµÄ½á¹¹£¬ÓëÀø´ÅÓÃ3Ï๹³ÉµÄÐýת½Ç¶È¼ì²â×°ÖÃÏà±È£¬ÓÉÓÚÏàÊý¼õÉÙ£¬Òò´Ë¾ßÓнṹ¼òµ¥µÄЧ¹û¡£ÔÙÓУ¬ÈôÊÇÒÔÍùÀý£¬ÔÚÖá±¶½ÇΪ4ʱ£¬¶¨×ÓµÄTÐÎÌúÐÄΪ16£¬¶ø¸ù¾Ý±¾·¢Ã÷£¬TÐÎÌúÐÄÌúÊýÖ»Òª9¼´¿É¡£¼´£¬¼´Ê¹Öá±¶½ÇÔö´ó£¬ÓëÒÔÍùÀýÏà±È£¬Ò²ÓÉÓÚÄܹ»¼õÉÙ¶¨×ÓµÄTÐÎÌúÐÄÊý¶ø¹¹³ÉÐýת½Ç¶È¼ì²â×°Öã¬Òò´Ë»¹¾ßÓоíÈÆÐÔ¡¢¼Ó¹¤ÐԺöøÇÒÅúÁ¿Éú²úÐԺõÄЧ¹û¡£ÔÙÓУ¬ÔÚÒÔÍùÀýÖÐÓÐʱʹÔÑÊý°´ÕýÏÒ²¨ÐÎ×´±ä»¯£¬ÔÚÕâÖÖÇé¿öÏ´æÔÚµÄÎÊÌâÊÇ£¬¾ßÓнö¾íÈÆÕæÕýºÜÉÙÔÑÊýµÄTÐÎÌúÐÄ£¬ÎªÁ˸ÃTÐÎÌúÐÄ£¬ÓÉÓÚ±ØÐë½øÐкܻ¨Ê±¼äµÄ×Ô¶¯¾íÈÆµÄ¾íÈÆ»úµÄµ¼¹Ü¶¨Î»£¬Òò´ËÈÆ×é×÷ҵЧÂʽµµÍ£¬¶øÔÚ±¾·¢Ã÷ÖУ¬¸ù¾Ýͼ17¡¢18¿ÉÖª£¬ÓÉÓÚ´æÔÚ¶à¸ö²»¼ÓÉÏÊä³öÈÆ×éÒ²¿ÉÒÔµÄTÐÎÌúÐÄ£¬Òò´Ë»¹¾ßÓÐÄܹ»Ìá¸ßÈÆ×é×÷ҵЧÂʵÄЧ¹û¡£ÁíÍ⣬ÔÚ¹¹³É2ÏàÊä³öÈÆ×éʱ£¬ÓÉÓÚÄܹ»ÒÔ3Ï๹³É¼ÙÏë¹¹³ÉµÄ¶àÏàÈÆ×飬Òò´Ë¾ßÓÐÄܹ»ÈÝÒ×¾ö¶¨Êä³öÈÆ×鹿¸ñµÄЧ¹û¡£
ÕâÀïÊǽö¶ÔÓÚÖá±¶½ÇΪ4½øÐÐÁËÐðÊö£¬µ«ÆäËüµÄÖá±¶½ÇÒ²Äܹ»ÒÔͬÑùµÄ²½Öè¹¹³É¡£Í¼21ËùʾΪÖá±¶½ÇΪ2¡¢¶¨×ÓµÄTÐÎÌúÐÄÊýΪ9µÄÀý×Ó¡£ÔÚͼ21ÖУ¬1Ϊ¶¨×Ó£¬2Ϊת×Ó£¬3Ϊ¶¨×Ó1ÉÏÉèÖõÄ9¸öTÐÎÌúÐÄ£¬4Ϊ¶¨×Ó1µÄÌúÐÄ£¬5Ϊ¾íÈÆÔÚTÐÎÌúÐÄ3ÉϵÄÈÆ×飬6Ϊת×Ó2µÄÌúÐÄ£¬7ΪÌúÐÄ6ÉÏÉèÖõÄ2¸ö͹¼«£¬10ΪÐýת½Ç¶È¼ì²â×°Öá£ÈôÈ¡Àø´ÅÈÆ×éµÄ¼«ÊýΪ6¼«£¬ÔòͬÑùÇó³ö×÷ΪÐýת½Ç¶È¼ì²â×°Ööø¶¯×÷ÓõÄÌõ¼þ£¬×¢ÒâÖá±¶½ÇΪ2£¬¸ÃÌõ¼þΪ(1)»ñÈ¡¿Õ¼ä1´Î»ò¿Õ¼ä5´ÎµÄ´Åͨ¡£
(2)²»»ñÈ¡¿Õ¼ä3´Î»òÆäÕûÊý±¶µÄ´Åͨ¡£
ͼ22ËùʾΪÂú×ãÌõ¼þ(1)µÄ3ÏàÈÆ×éµÄÒ»¸öÀý×Ó¡£Í¼23ËùʾΪ½«Ëü°´ÕÕʽ(4)½øÐÐ3Ïà2Ïà±ä»»ÒÔʹµÃÂú×ãÌõ¼þ(2)µÄÒ»¸öÀý×Ó¡£Ê½ÖУ¬Éè¦Ã£½0£¬k£½(2/3)1/2¡£Í¼ÖУ¬Ð¡Êýµã5λÒÔϽøÐÐËÄÉáÎåÈ롣ͼ24¼°Í¼25ËùʾΪ¸ù¾Ýͼ23¾ßÌå¾ö¶¨Êµ¼ÊÔÑÊýµÄÀý×Ó¡£Àø´ÅÈÆ×é±íʾͼ23µÄÔÑÊý³ËÒÔ50µÄÖµ£¬Êä³öÈÆ×é±íʾ¶Ôͼ23µÄÔÑÊý³ËÒÔ150µÄÖµ¡£ÁíÍ⣬ͼ24ÊǶÔÔÑÊýÔÊÐíСÊýµÄÇé¿ö(ÀíÏëÇé¿ö)¡£Í¼25ÊÇСÊýµãÒÔϽøÐÐËÄÉáÎåÈëµÄÇé¿ö¡£Í¼26¼°Í¼27µÄÇúÏßËùÊ¾ÎªÈÆ×鹿¸ñ²ÉÓÃͼ24¼°Í¼25ÄÇÑùµÄ¹æ¸ñ¡¢²¢ÔÚÓý»Á÷µçÁ÷½«Àø´ÅÈÆ×é½øÐÐÀø´Åʱ2ÏàÊä³öÈÆ×éÖгöÏֵĵçÑ¹Ëæ×ª×ÓλÖÃÈçºÎ±ä»¯µÄÇé¿ö¡£ÔÚÕâЩͼÖУ¬20Ϊ¦ÁÏàÈÆ×飬21Ϊ¦ÂÏàÈÆ×é¡£ÁíÍ⣬ºáÖáÓûúе½Ç¶È±íʾת×ÓλÖã¬×ÝÖá±íʾÊä³öÈÆ×éÖвúÉúµÄµçѹ¡£Í¼Öеçѹ·ûºÅΪ¸ºÊDZíʾÏà¶ÔÓÚÀø´ÅÈÆ×éµÄµçÁ÷ÆäÏàλ·´Ïà¡£ÔÚÈκÎÇé¿öÏ£¬ÓÉÓÚµçѹ¶¼ÊÇÕýÏÒ²¨ÐÎ×´£¬»¥ÏàÆ«ÒÆµç½Ç¶È90¶È(»úе½Ç¶È45¶È)£¬Òò´ËÄܹ»È·ÈÏÊÇ×÷ΪÖá±¶½ÇΪ2µÄÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£
¸ù¾ÝÉÏÊö£¬ÊǼÙÏ뽫Êä³öÈÆ×鶨ÒåΪ3ÏàÈÆ×飬Ȼºó½øÐÐ3Ïà2Ïà±ä»»£¬Í¨¹ýÕâÑùµÃµ½2ÏàÊä³öÈÆ×é¡£ÕâÑù£¬Äܹ»È·ÈÏÊÇ×÷ΪÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£Í¨¹ý²ÉÓÃÕâÑùµÄ½á¹¹£¬ÓëÀø´ÅÓÃ3Ï๹³ÉµÄÐýת½Ç¶È¼ì²â×°ÖÃÏà±È£¬ÓÉÓÚÏàÊý¼õÉÙ£¬Òò´Ë¾ßÓнṹ¼òµ¥¡¢ÖÆÔ칤ÐòÈÝÒ×µÄЧ¹û¡£ÔÙÓУ¬ÔÚÒÔÍùÀýÖÐÓÐʱʹÔÑÊý°´ÕýÏÒ²¨ÐÎ×´±ä»¯£¬ÔÚÕâÖÖÇé¿öÏ´æÔÚµÄÎÊÌâÊÇ£¬¾ßÓнö¾íÈÆÕæÕýºÜÉÙÔÑÊýµÄTÐÎÌúÐÄ£¬ÎªÁ˸ÃTÐÎÌúÐÄ£¬ÓÉÓÚ±ØÐë½øÐкܻ¨Ê±¼äµÄ×Ô¶¯¾íÈÆµÄ¾íÈÆ»úµÄµ¼¹Ü¶¨Î»£¬Òò´ËÈÆ×é×÷ҵЧÂʽµµÍ£¬¶øÔÚ±¾·¢Ã÷ÖУ¬¸ù¾Ýͼ23¡¢24¡¢25¿ÉÖª£¬ÓÉÓÚ´æÔÚ¶à¸ö²»¼ÓÉÏÊä³öÈÆ×éÒ²¿ÉÒÔµÄTÐÎÌúÐÄ£¬Òò´Ë»¹¾ßÓÐÄܹ»Ìá¸ßÈÆ×é×÷ҵЧÂʵÄЧ¹û¡£ÁíÍ⣬ÔÚ¹¹³É2ÏàÊä³öÈÆ×éʱ£¬ÓÉÓÚÄܹ»ÒÔ3Ï๹³É¼ÙÉè¹¹³ÉµÄ¶àÏàÈÆ×飬Òò´Ë¾ßÓÐÄܹ»ÈÝÒ×¾ö¶¨Êä³öÈÆ×鹿¸ñµÄЧ¹û¡£
ÁíÍ⣬ÔÚ±¾ÊµÊ©ÐÎ̬ÖУ¬¶¨×ÓTÐÎÌúÐÄÊýÎªÆæÊý¡£ÒÔÍùÀýµÄTÐÎÌúÐÄÊýΪżÊý£¬¶øÇÒÀø´ÅÈÆ×éÕâÑù¾íÈÆ£¬Ê¹µÃÔÚÏàÁÚµÄTÐÎÌúÐį伫ÐÔÏà·´¡£¼´£¬¶¨×ÓTÐÎÌúÐÄÊýÓëÀø´ÅÈÆ×éÊýÒ»Ö¡£µ«ÊÇ£¬ÒÔÍùµÄÀø´ÅÈÆ×éµÄ¾íÈÆ·½·¨ÖУ¬ÓÉÓÚ¶ÔÓÚTÐÎÌúÐÄÊýÎªÆæÊýÕâÑùµÄÈÆ×éģʽ£¬»á³öÏÖÒ»´¦ÏàÁÚÈÆ×éµÄ¼«ÐÔÒ»Öµĵط½£¬Òò´Ë´æÔÚµÄÎÊÌâÊÇ£¬Àø´ÅÈÆ×éµÄƽºâÐÔ²»ºÃ£¬µ¼Ö¼ì²âλÖÃÎó²îÔö´ó¡£µ«ÊÇ£¬±¾ÊµÊ©ÐÎ̬µÄÀø´ÅÈÆ×éµÄ½á¹¹ÓëÒÔÍùÀý²»Í¬£¬Ëü¾íÈÆ³ÉÒÔ3¸öTÐÎÌúÐÄÐγÉ1¸öģʽ¡£¼´Èçͼ41Ëùʾ£¬TÐÎÌúÐıêºÅ1Ϊ50ÔÑ£¬TÐÎÌúÐıêºÅ2¼°3Ϊ-25ÔÑ(¼«ÐÔÓëTÐÎÌúÐıêºÅ1Ïà·´)¡£½«¸ÃÄ£Ê½ÖØ¸´3´Î£¬¼´Öظ´ÓëTÐÎÌúÐĸöÊý9µÄÖµµÄÔ¼ÊýÖµÏàͬµÄ´ÎÊý(ÁíÍ⣬9µÄÔ¼ÊýËäÊÇ1¼°3£¬µ«ÕâÀォ1ÒÔÍâµÄÔ¼ÊýÖµ³ÆÎªÔ¼Êý)¡£Í¨¹ý²ÉÓÃÕâÑùµÄ½á¹¹£¬ÓÉÓÚÖØ¸´ÏàͬģʽµÄÈÆ×飬Òò´ËÄܹ»¾íÈÆÆ½ºâÐԺõÄÀø´ÅÈÆ×é¡£Ò»°ã£¬¼´Ê¹TÐÎÌúÐÄÊýÎªÆæÊýʱ£¬Í¨¹ý½«ÏàͬģʽµÄÈÆ×éÖØ¸´TÐÎÌúÐÄÊýµÄÔ¼Êý´Î£¬Ò²Äܹ»¹¹³ÉƽºâÐԺõÄÀø´ÅÈÆ×顣ͨ¹ýÕâÑù£¬ÓÉÓÚÀø´ÅÈÆ×é²úÉúµÄ´ÅÍ¨ÊÆÆ½ºâÐԺã¬Òò´Ë¾ßÓмì²âλÖÃÎó²î²»»áÔö´óµÄЧ¹û¡£
ÔÙÓУ¬ÔÚͼ41ÖУ¬TÐÎÌúÐıêºÅ1Ϊ50ÔÑ£¬TÐÎÌúÐıêºÅ2¼°3Ϊ-25ÔÑ£¬ÈôÔÚÕâÑùµÄģʽÖÐÇóÔÑÊýºÏ¼Æ(»¹¿¼ÂǼ«ÐÔ½øÐкϼÆ)£¬ÔòΪ50-25-25£½0¡£Èô²ÉÓÃÕâÑùºÏ¼ÆÎª0µÄÔÑÊý£¬ÔòÔÚÀø´ÅÈÆ×éÖеçÁ÷Á÷¹ýʱ²»²úÉú¿Õ¼ä0´Î´ÅÍ¨ÊÆ¡£Òò´Ë¾ßÓеÄЧ¹ûÊÇ£¬ÔÚÆøÏ¶Öв»²úÉú²»ÐèÒª´ÎÊýµÄ´Åͨ£¬Äܹ»·ÀÖ¹¼ì²âλÖÃÎó²îÔö´ó¡£
ʵʩÐÎ̬3ͼ28ËùʾΪÖá±¶½ÇΪ4¡¢TÐÎÌúÐÄÊýΪ6µÄÀý×Ó¡£ÔÚ±¾ÊµÊ©ÐÎ̬ÖУ¬TÐÎÌúÐĸöÊýΪ3n(nΪ×ÔÈ»Êý£¬ÕâÀïn£½2)¡£ÔÚͼ28ÖУ¬1Ϊ¶¨×Ó£¬2Ϊת×Ó£¬3Ϊ¶¨×Ó1ÉÏÉèÖõÄ6¸öTÐÎÌúÐÄ£¬4Ϊ¶¨×Ó1µÄÌúÐÄ£¬5Ϊ¾íÈÆÔÚTÐÎÌúÐÄ3ÉϵÄÈÆ×飬6Ϊת×Ó2µÄÌúÐÄ£¬7ΪÌúÐÄ6ÉÏÉèÖõÄ4¸ö͹¼«£¬10ΪÐýת½Ç¶È¼ì²â×°Öá£
ÈôÈ¡Àø´ÅÈÆ×é5µÄ¼«ÊýΪ6¼«£¬ÔòͬÑùÇó³ö×÷ΪÐýת½Ç¶È¼ì²â×°Ööø¶¯×÷ÓõÄÌõ¼þ£¬×¢ÒâÖá±¶½ÇΪ4£¬¸ÃÌõ¼þΪ(1)»ñÈ¡¿Õ¼ä1´Î»ò¿Õ¼ä7´ÎµÄ´Åͨ¡£
(2)²»»ñÈ¡¿Õ¼ä3´Î»òÆäÕûÊý±¶µÄ´Åͨ¡£
ͼ29ËùʾΪÂú×ãÌõ¼þ(1)µÄ3ÏàÈÆ×éµÄÒ»¸öÀý×Ó¡£Í¼30ËùʾΪ½«Ëü°´ÕÕʽ(4)½øÐÐ3Ïà2Ïà±ä»»ÒÔʹµÃÂú×ãÌõ¼þ(2)µÄÒ»¸öÀý×Ó¡£Ê½ÖУ¬Éè¦Ã£½0£¬k£½(2/3)1/2¡£Í¼ÖУ¬Ð¡Êýµã5λÒÔϽøÐÐËÄÉáÎåÈ롣ͼ31Ϊ¸ù¾Ýͼ30¾ßÌå¾ö¶¨Êµ¼ÊÔÑÊýµÄÀý×Ó¡£Àø´ÅÈÆ×é±íʾͼ30µÄÔÑÊý³ËÒÔ50µÄÖµ£¬Êä³öÈÆ×é±íʾ¶Ôͼ30µÄÔÑÊý³ËÒÔ150µÄÖµ¡£ÁíÍ⣬ͼ31ÊÇСÊýµãÒÔϽøÐÐËÄÉáÎåÈëµÄÇé¿ö¡£Í¼32ÇúÏßËùÊ¾ÎªÈÆ×鹿¸ñ²ÉÓÃͼ31ÄÇÑùµÄ¹æ¸ñ¡¢²¢ÔÚÓý»Á÷µçÁ÷½«Àø´ÅÈÆ×é½øÐÐÀø´Åʱ2ÏàÊä³öÈÆ×éÖгöÏֵĵçÑ¹Ëæ×ª×ÓλÖÃÈçºÎ±ä»¯µÄÇé¿ö¡£ÔÚ¸ÃͼÖУ¬20Ϊ¦ÁÏàÈÆ×飬21Ϊ¦ÂÏàÈÆ×é¡£ÁíÍ⣬ºáÖáÓûúе½Ç¶È±íʾת×ÓλÖã¬×ÝÖá±íʾÊä³öÈÆ×éÖвúÉúµÄµçѹ¡£Í¼Öеçѹ·ûºÅΪ¸ºÊDZíʾÏà¶ÔÓÚÀø´ÅÈÆ×éµÄµçÁ÷ÆäÏàλ·´Ïà¡£ÔÚÈκÎÇé¿öÏ£¬ÓÉÓÚµçѹ¶¼ÊÇÕýÏÒ²¨ÐÎ×´£¬»¥ÏàÆ«ÒÆµç½Ç¶È90¶È(»úе½Ç¶ÈΪ22.5¶È)£¬Òò´ËÄܹ»È·ÈÏÊÇ×÷ΪÖá±¶½ÇΪ4µÄÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£
ÁíÍ⣬ͼ33ËùʾΪÖá±¶½ÇΪ8¡¢TÐÎÌúÐÄÊýΪ6µÄÀý×Ó£¬ÔÚͼ33ÖУ¬1Ϊ¶¨×Ó£¬2Ϊת×Ó£¬3Ϊ¶¨×Ó1ÉÏÉèÖõÄ6¸öTÐÎÌúÐÄ£¬4Ϊ¶¨×Ó1µÄÌúÐÄ£¬5Ϊ¾íÈÆÔÚTÐÎÌúÐÄ3ÉϵÄÈÆ×飬6Ϊת×Ó2µÄÌúÐÄ£¬7ΪÌúÐÄ6ÉÏÉèÖõÄ8¸ö͹¼«£¬10ΪÐýת½Ç¶È¼ì²â×°Öá£
ÈôÈ¡Àø´ÅÈÆ×éµÄ¼«ÊýΪ6¼«£¬ÔòͬÑùÇó³ö×÷ΪÐýת½Ç¶È¼ì²â×°Ööø¶¯×÷ÓõÄÌõ¼þ£¬×¢ÒâÖá±¶½ÇΪ8£¬¸ÃÌõ¼þΪ(1)»ñÈ¡¿Õ¼ä5´Î»ò¿Õ¼ä11´ÎµÄ´Åͨ¡£
(2)²»»ñÈ¡¿Õ¼ä3´Î»òÆäÕûÊý±¶µÄ´Åͨ¡£
ͼ34ËùʾΪÂú×ãÌõ¼þ(1)µÄ3ÏàÈÆ×éµÄÒ»¸öÀý×Ó¡£Í¼35ËùʾΪ½«Ëü°´ÕÕʽ(4)½øÐÐ3Ïà2Ïà±ä»»ÒÔʹµÃÂú×ãÌõ¼þ(2)µÄÒ»¸öÀý×Ó¡£Ê½ÖУ¬Éè¦Ã£½0£¬k£½(2/3)1/2¡£Í¼ÖУ¬Ð¡Êýµã5λÒÔϽøÐÐËÄÉáÎåÈ롣ͼ36ËùʾΪ¸ù¾Ýͼ35¾ßÌå¾ö¶¨Êµ¼ÊÔÑÊýµÄÀý×Ó¡£Àø´ÅÈÆ×é±íʾͼ35µÄÔÑÊý³ËÒÔ50µÄÖµ£¬Êä³öÈÆ×é±íʾ¶Ôͼ35µÄÔÑÊý³ËÒÔ150µÄÖµ¡£ÁíÍ⣬ͼ36ÊÇСÊýµãÒÔϽøÐÐËÄÉáÎåÈëµÄÇé¿ö¡£Í¼37ÇúÏßËùÊ¾ÎªÈÆ×鹿¸ñ²ÉÓÃͼ36ÄÇÑùµÄ¹æ¸ñ¡¢²¢ÔÚÓý»Á÷µçÁ÷½«Àø´ÅÈÆ×é½øÐÐÀø´Åʱ2ÏàÊä³öÈÆ×éÖгöÏֵĵçÑ¹Ëæ×ª×ÓλÖÃÈçºÎ±ä»¯µÄÇé¿ö¡£ÔÚ¸ÃͼÖУ¬20Ϊ¦ÁÏàÈÆ×飬21Ϊ¦ÂÏàÈÆ×é¡£ÁíÍ⣬ºáÖáÓûúе½Ç¶È±íʾת×ÓλÖã¬×ÝÖá±íʾÊä³öÈÆ×éÖвúÉúµÄµçѹ¡£Í¼Öеçѹ·ûºÅΪ¸ºÊDZíʾÏà¶ÔÓÚÀø´ÅÈÆ×éµÄµçÁ÷ÆäÏàλ·´Ïà¡£ÔÚÈκÎÇé¿öÏ£¬ÓÉÓÚµçѹ¶¼ÊÇÕýÏÒ²¨ÐÎ×´£¬»¥ÏàÆ«ÒÆµç½Ç¶È90¶È(»úе½Ç¶ÈΪ11.25¶È)£¬Òò´ËÄܹ»È·ÈÏÊÇ×÷ΪÖá±¶½ÇΪ8µÄÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£ÁíÍ⣬ÕâÀïËù¾ÙµÄÈÆ×é²»¹ýÊÇÒ»¸öÀý×Ó¡£ÕâÊÇÒòΪ£¬Âú×ãÌõ¼þ(1)µÄÈÆ×é³ý´ËÒÔÍ⻹ÓУ¬¶øÇÒ»¹¿ÉÒÔÀûÓæü°kʹÔÑÊý±ä»¯¡£
¸ù¾ÝÉÏÊö£¬ÊǼÙÏ뽫Êä³öÈÆ×鶨ÒåΪ3ÏàÈÆ×飬Ȼºó½øÐÐ3Ïà2Ïà±ä»»£¬Í¨¹ýÕâÑùµÃµ½2ÏàÊä³öÈÆ×é¡£ÕâÑù£¬Äܹ»È·ÈÏÊÇ×÷ΪÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£Í¨¹ý²ÉÓÃÕâÑùµÄ½á¹¹£¬ÓëÀø´ÅÓÃ3Ï๹³ÉµÄÐýת½Ç¶È¼ì²â×°ÖÃÏà±È£¬ÓÉÓÚÏàÊý¼õÉÙ£¬Òò´Ë¾ßÓнṹ¼òµ¥¡¢ÖÆÔ칤ÐòÈÝÒ×µÄЧ¹û¡£ÔÙÓУ¬ÈôÊÇÒÔÍùÀý£¬ÔÚÖá±¶½ÇΪ4ʱ£¬¶¨×ÓµÄTÐÎÌúÐÄΪ16£¬Öá±¶½ÇΪ8ʱ£¬¶¨×ÓµÄTÐÎÌúÐÄÊýΪ32£¬¶ø¸ù¾Ý±¾·¢Ã÷£¬TÐÎÌúÐÄÌúÊýÖ»Òª6¼´¿É¡£¼´£¬¼´Ê¹Öá±¶½ÇÔö´ó£¬ÓëÒÔÍùÀýÏà±È£¬Ò²ÓÉÓÚÄܹ»¼õÉÙ¶¨×ÓµÄTÐÎÌúÐÄÊý¶ø¹¹³ÉÐýת½Ç¶È¼ì²â×°Öã¬Òò´Ë»¹¾ßÓоíÈÆÐÔ¡¢¼Ó¹¤ÐԺöøÇÒÅúÁ¿Éú²úÐԺõÄЧ¹û¡£ÔÙÓУ¬ÔÚÒÔÍùÀýÖÐÓÐʱʹÔÑÊý°´ÕýÏÒ²¨ÐÎ×´±ä»¯£¬ÔÚÕâÖÖÇé¿öÏ´æÔÚµÄÎÊÌâÊÇ£¬¾ßÓнö¾íÈÆÕæÕýºÜÉÙÔÑÊýµÄTÐÎÌúÐÄ£¬ÎªÁ˸ÃTÐÎÌúÐÄ£¬ÓÉÓÚ±ØÐë½øÐкܻ¨Ê±¼äµÄ×Ô¶¯¾íÈÆµÄ¾íÈÆ»úµÄµ¼¹Ü¶¨Î»£¬Òò´ËÈÆ×é×÷ҵЧÂʽµµÍ£¬¶øÔÚ±¾·¢Ã÷ÖУ¬¸ù¾Ýͼ31¡¢36¿ÉÖª£¬ÓÉÓÚ´æÔÚ¶à¸ö²»¼ÓÉÏÊä³öÈÆ×éÒ²¿ÉÒÔµÄTÐÎÌúÐÄ£¬Òò´Ë»¹¾ßÓÐÄܹ»Ìá¸ßÈÆ×é×÷ҵЧÂʵÄЧ¹û¡£ÁíÍ⣬ÔÚ¹¹³É2ÏàÊä³öÈÆ×éʱ£¬ÓÉÓÚÄܹ»ÒÔ3Ï๹³É¼ÙÏë¹¹³ÉµÄ¶àÏàÈÆ×飬Òò´Ë¾ßÓÐÄܹ»ÈÝÒ×¾ö¶¨Êä³öÈÆ×鹿¸ñµÄЧ¹û¡£
ʵʩÐÎ̬4ͼ38ËùʾΪÖá±¶½ÇΪ8¡¢TÐÎÌúÐÄÊýΪ9µÄÀý×Ó£¬ÔÚͼ38ÖУ¬1Ϊ¶¨×Ó£¬2Ϊת×Ó£¬3Ϊ¶¨×Ó1ÉÏÉèÖõÄ9¸öTÐÎÌúÐÄ£¬4Ϊ¶¨×Ó1µÄÌúÐÄ£¬5Ϊ¾íÈÆÔÚTÐÎÌúÐÄ3ÉϵÄÈÆ×飬6Ϊת×Ó2µÄÌúÐÄ£¬7ΪÌúÐÄ6ÉÏÉèÖõÄ8¸ö͹¼«£¬10ΪÐýת½Ç¶È¼ì²â×°Öá£
ÈôÈ¡Àø´ÅÈÆ×éµÄ¼«ÊýΪ6¼«£¬ÔòͬÑùÇó³ö×÷ΪÐýת½Ç¶È¼ì²â×°Ööø¶¯×÷µÄÌõ¼þ£¬×¢ÒâÖá±¶½ÇΪ8£¬¸ÃÌõ¼þΪ(1)»ñÈ¡¿Õ¼ä5´Î»ò¿Õ¼ä11´ÎµÄ´Åͨ¡£
(2)²»»ñÈ¡¿Õ¼ä3´Î»òÆäÕûÊý±¶µÄ´Åͨ¡£
ͼ39ËùʾΪÂú×ãÌõ¼þ(1)µÄ3ÏàÈÆ×éµÄÒ»¸öÀý×Ó¡£Í¼40ËùʾΪ½«Ëü°´ÕÕʽ(4)½øÐÐ3Ïà2Ïà±ä»»ÒÔʹµÃÂú×ãÌõ¼þ(2)µÄÒ»¸öÀý×Ó¡£Ê½ÖУ¬Éè¦Ã£½0£¬k£½(2/3)1/2¡£Í¼ÖУ¬Ð¡Êýµã5λÒÔϽøÐÐËÄÉáÎåÈ롣ͼ41ËùʾΪ¸ù¾Ýͼ40¾ßÌå¾ö¶¨Êµ¼ÊÔÑÊýµÄÀý×Ó¡£Àø´ÅÈÆ×é±íʾͼ40µÄÔÑÊý³ËÒÔ50µÄÖµ£¬Êä³öÈÆ×é±íʾ¶Ôͼ35µÄÔÑÊý³ËÒÔ150µÄÖµ¡£ÁíÍ⣬ͼ41ÊÇСÊýµãÒÔϽøÐÐËÄÉáÎåÈëµÄÇé¿ö¡£
ͼ42ÇúÏßËùÊ¾ÎªÈÆ×鹿¸ñ²ÉÓÃͼ41ÄÇÑùµÄ¹æ¸ñ¡¢²¢ÔÚÓý»Á÷µçÁ÷½«Àø´ÅÈÆ×é½øÐÐÀø´Åʱ2ÏàÊä³öÈÆ×éÖгöÏֵĵçÑ¹Ëæ×ª×ÓλÖÃÈçºÎ±ä»¯µÄÇé¿ö¡£ÔÚ¸ÃͼÖУ¬20Ϊ¦ÁÏàÈÆ×飬21Ϊ¦ÂÏàÈÆ×é¡£ÁíÍ⣬ºáÖáÓûúе½Ç¶È±íʾת×ÓλÖã¬×ÝÖá±íʾÊä³öÈÆ×éÖвúÉúµÄµçѹ¡£Í¼Öеçѹ·ûºÅΪ¸ºÊDZíʾÏà¶ÔÓÚÀø´ÅÈÆ×éµÄµçÁ÷ÆäÏàλ·´Ïà¡£ÔÚÈκÎÇé¿öÏ£¬ÓÉÓÚµçѹ¶¼ÊÇÕýÏÒ²¨ÐÎ×´£¬»¥ÏàÆ«ÒÆµç½Ç¶È90¶È(»úе½Ç¶ÈΪ11.25¶È)£¬Òò´ËÄܹ»È·ÈÏÊÇ×÷ΪÖá±¶½ÇΪ8µÄÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£
ÁíÍ⣬ÕâÀïËù¾ÙµÄÈÆ×é²»¹ýÊÇÒ»¸öÀý×Ó¡£ÕâÊÇÒòΪ£¬Âú×ãÌõ¼þ(1)µÄÈÆ×é³ý´ËÒÔÍ⻹ÓУ¬¶øÇÒ»¹¿ÉÒÔÀûÓæü°kʹÔÑÊý±ä»¯¡£
¸ù¾ÝÉÏÊö£¬ÊǼÙÏ뽫Êä³öÈÆ×鶨ÒåΪ3ÏàÈÆ×飬Ȼºó½øÐÐ3Ïà2Ïà±ä»»£¬Í¨¹ýÑùµÃµ½2ÏàÊä³öÈÆ×é¡£ÕâÑù£¬Äܹ»È·ÈÏÊÇ×÷ΪÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£Í¨¹ý²ÉÓÃÕâÑùµÄ½á¹¹£¬ÓëÀø´ÅÓÃ3Ï๹³ÉµÄÐýת½Ç¶È¼ì²â×°ÖÃÏà±È£¬ÓÉÓÚÏàÊý¼õÉÙ£¬Òò´Ë¾ßÓнṹ¼òµ¥¡¢ÖÆÔ칤ÐòÈÝÒ×µÄЧ¹û¡£ÔÙÓУ¬ÈôÊÇÒÔÍùÀý£¬ÔÚÖá±¶½ÇΪ8ʱ£¬¶¨×ÓµÄTÐÎÌúÐÄÊýΪ32£¬¶ø¸ù¾Ý±¾·¢Ã÷£¬TÐÎÌúÐÄÊýÖ»Òª9¼´¿É¡£¼´£¬¼´Ê¹Öá±¶½ÇÔö´ó£¬ÓëÒÔÍùÀýÏà±È£¬Ò²ÓÉÓÚÄܹ»¼õÉÙ¶¨×ÓµÄTÐÎÌúÐÄÊý¶ø¹¹³ÉÐýת½Ç¶È¼ì²â×°Öã¬Òò´Ë»¹¾ßÓоíÈÆ×é¡¢¼Ó¹¤ÐԺöøÇÒÅúÁ¿Éú²úÐԺõÄЧ¹û¡£ÔÙÓУ¬ÔÚÒÔÍùÀýÖÐÓÐʱʹÔÑÊý°´ÕýÏÒ²¨ÐÎ×´±ä»¯£¬ÔÚÕâÖÖÇé¿öÏ´æÔÚµÄÎÊÌâÊÇ£¬¾ßÓнö¾íÈÆÕæÕýºÜÉÙÔÑÊýµÄTÐÎÌúÐÄ£¬ÎªÁ˸ÃTÐÎÌúÐÄ£¬ÓÉÓÚ±ØÐë½øÐкܻ¨Ê±¼äµÄ×Ô¶¯¾íÈÆµÄ¾íÈÆ»úµÄµ¼¹Ü¶¨Î»£¬Òò´ËÈÆ×é×÷ҵЧÂʽµµÍ£¬¶øÔÚ±¾·¢Ã÷ÖУ¬¸ù¾Ýͼ41¿ÉÖª£¬ÓÉÓÚ´æÔÚ¶à¸ö²»¼ÓÉÏÊä³öÈÆ×éÒ²¿ÉÒÔµÄTÐÎÌúÐÄ£¬Òò´Ë»¹¾ßÓÐÄܹ»Ìá¸ßÈÆ×é×÷ҵЧÂʵÄЧ¹û¡£ÁíÍ⣬ÔÚ¹¹³É2ÏàÊä³öÈÆ×éʱ£¬ÓÉÓÚÄܹ»ÒÔ3Ï๹³É¼ÙÏë¹¹³ÉµÄ¶àÏàÈÆ×飬Òò´Ë¾ßÓÐÄܹ»ÈÝÒ×¾ö¶¨Êä³öÈÆ×鹿¸ñµÄЧ¹û¡£
ʵʩÐÎ̬5ͼ43ËùʾΪÖá±¶½ÇΪ4¡¢TÐÎÌúÐÄÊýΪ12µÄÀý×Ó¡£ÔÚͼ43ÖУ¬1Ϊ¶¨×Ó£¬2Ϊת×Ó£¬3Ϊ¶¨×Ó1ÉÏÉèÖõÄ12¸öTÐÎÌúÐÄ£¬4Ϊ¶¨×Ó1µÄÌúÐÄ£¬5Ϊ¾íÈÆÔÚTÐÎÌúÐÄ3ÉϵÄÈÆ×飬6Ϊת×Ó2µÄÌúÐÄ£¬7ΪÌúÐÄ6ÉÏÉèÖõÄ4¸ö͹¼«£¬10ΪÐýת½Ç¶È¼ì²â×°Öá£
ÈôÈ¡Àø´ÅÈÆ×éµÄ¼«ÊýΪ6¼«£¬ÔòͬÑùÇó³ö×÷ΪÐýת½Ç¶È¼ì²â×°Ööø¶¯×÷ÓõÄÌõ¼þ£¬×¢ÒâÖá±¶½ÇΪ4£¬¸ÃÌõ¼þΪ(1)»ñÈ¡¿Õ¼ä1´Î»ò¿Õ¼ä7´ÎµÄ´Åͨ¡£
(2)²»»ñÈ¡¿Õ¼ä3´Î»òÆäÕûÊý±¶µÄ´Åͨ¡£
ͼ44ËùʾΪÂú×ãÌõ¼þ(1)µÄ3ÏàÈÆ×éµÄÒ»¸öÀý×Ó¡£Í¼45ËùʾΪ½«Ëü°´ÕÕʽ(4)½øÐÐ3Ïà2Ïà±ä»»ÒÔʹµÃÂú×ãÌõ¼þ(2)µÄÒ»¸öÀý×Ó¡£Ê½ÖУ¬Éè¦Ã£½0£¬k£½(2/3)1/2¡£Í¼ÖУ¬Ð¡Êýµã5λÒÔϽøÐÐËÄÉáÎåÈ롣ͼ46Ϊ¸ù¾Ýͼ45¾ßÌå¾ö¶¨Êµ¼ÊÔÑÊýµÄÀý×Ó¡£Àø´ÅÈÆ×é±íʾͼ45µÄÔÑÊý³ËÒÔ50µÄÖµ£¬Êä³öÈÆ×é±íʾ¶Ôͼ45µÄÔÑÊý³ËÒÔ150µÄÖµ¡£ÁíÍ⣬ͼ46ÊÇСÊýµãÒÔϽøÐÐËÄÉáÎåÈëµÄÇé¿ö¡£Í¼47ÇúÏßËùÊ¾ÎªÈÆ×鹿¸ñ²ÉÓÃͼ46ÄÇÑùµÄ¹æ¸ñ¡¢²¢ÔÚÓý»Á÷µçÁ÷½«Àø´ÅÈÆ×é½øÐÐÀø´Åʱ2ÏàÊä³öÈÆ×éÖгöÏֵĵçÑ¹Ëæ×ª×ÓλÖÃÈçºÎ±ä»¯µÄÇé¿ö¡£ÔÚ¸ÃͼÖУ¬20Ϊ¦ÁÏàÈÆ×飬21Ϊ¦ÂÏàÈÆ×é¡£ÁíÍ⣬ºáÖáÓûúе½Ç¶È±íʾת×ÓλÖã¬×ÝÖá±íʾÊä³öÈÆ×éÖвúÉúµÄµçѹ¡£Í¼Öеçѹ·ûºÅΪ¸ºÊDZíʾÏà¶ÔÓÚÀø´ÅÈÆ×éµÄµçÁ÷ÆäÏàλ·´Ïà¡£ÔÚÈκÎÇé¿öÏ£¬ÓÉÓÚµçѹ¶¼ÊÇÕýÏÒ²¨ÐÎ×´£¬»¥ÏàÆ«ÒÆµç½Ç¶È90¶È(»úе½Ç¶ÈΪ22.5¶È)£¬Òò´ËÄܹ»È·ÈÏÊÇ×÷ΪÖá±¶½ÇΪ4µÄÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£
ÁíÍ⣬ͼ48ËùʾΪÖá±¶½ÇΪ8¡¢TÐÎÌúÐÄÊýΪ12µÄÀý×Ó¡£ÔÚͼ48ÖУ¬1Ϊ¶¨×Ó£¬2Ϊת×Ó£¬3Ϊ¶¨×Ó1ÉÏÉèÖõÄ12¸öTÐÎÌúÐÄ£¬4Ϊ¶¨×Ó1µÄÌúÐÄ£¬5Ϊ¾íÈÆÔÚTÐÎÌúÐÄ3ÉϵÄÈÆ×飬6Ϊת×Ó2µÄÌúÐÄ£¬7ΪÌúÐÄ6ÉÏÉèÖõÄ4¸ö͹¼«£¬10ΪÐýת½Ç¶È¼ì²â×°Öá£
ÈôÈ¡Àø´ÅÈÆ×éµÄ¼«ÊýΪ6¼«£¬ÔòͬÑùÇó³ö×÷ΪÐýת½Ç¶È¼ì²â×°Ööø¶¯×÷ÓõÄÌõ¼þ£¬×¢ÒâÖá±¶½ÇΪ8£¬¸ÃÌõ¼þΪ(1)»ñÈ¡¿Õ¼ä5´Î»ò¿Õ¼ä11´ÎµÄ´Åͨ¡£
(2)²»»ñÈ¡¿Õ¼ä3´Î»òÆäÕûÊý±¶µÄ´Åͨ¡£
ͼ49ËùʾΪÂú×ãÌõ¼þ(1)µÄ3ÏàÈÆ×éµÄÒ»¸öÀý×Ó¡£Í¼50ËùʾΪ½«Ëü°´ÕÕʽ(4)½øÐÐ3Ïà2Ïà±ä»»ÒÔʹµÃÂú×ãÌõ¼þ(2)µÄÒ»¸öÀý×Ó¡£Ê½ÖУ¬Éè¦Ã£½0£¬k£½(2/3)1/2¡£Í¼ÖУ¬Ð¡Êýµã5λÒÔϽøÐÐËÄÉáÎåÈ롣ͼ51Ϊ¸ù¾Ýͼ50¾ßÌå¾ö¶¨Êµ¼ÊÔÑÊýµÄÀý×Ó¡£Àø´ÅÈÆ×é±íʾͼ50µÄÔÑÊý³ËÒÔ50µÄÖµ£¬Êä³öÈÆ×é±íʾ¶Ôͼ50µÄÔÑÊý³ËÒÔ150µÄÖµ¡£ÁíÍ⣬ͼ51ÊÇСÊýµãÒÔϽøÐÐËÄÉáÎåÈëµÄÇé¿ö¡£Í¼52ÇúÏßËùÊ¾ÎªÈÆ×鹿¸ñ²ÉÓÃͼ51ÄÇÑùµÄ¹æ¸ñ¡¢²¢ÔÚÓý»Á÷µçÁ÷½«Àø´ÅÈÆ×é½øÐÐÀø´Åʱ2ÏàÊä³öÈÆ×éÖгöÏֵĵçÑ¹Ëæ×ª×ÓλÖÃÈçºÎ±ä»¯µÄÇé¿ö¡£ÔÚ¸ÃͼÖУ¬20Ϊ¦ÁÏàÈÆ×飬21Ϊ¦ÂÏàÈÆ×é¡£ÁíÍ⣬ºáÖáÓûúе½Ç¶È±íʾת×ÓλÖã¬×ÝÖá±íʾÊä³öÈÆ×éÖвúÉúµÄµçѹ¡£Í¼Öеçѹ·ûºÅΪ¸ºÊDZíʾÏà¶ÔÓÚÀø´ÅÈÆ×éµÄµçÁ÷ÆäÏàλ·´Ïà¡£ÔÚÈκÎÇé¿öÏ£¬ÓÉÓÚµçѹ¶¼ÊÇÕýÏÒ²¨ÐÎ×´£¬»¥ÏàÆ«ÒÆµç½Ç¶È90¶È(»úе½Ç¶ÈΪ11.25¶È)£¬Òò´ËÄܹ»È·ÈÏÊÇ×÷ΪÖá±¶½ÇΪ8µÄÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£
ÁíÍ⣬ÕâÀïËù¾ÙµÄÈÆ×é²»¹ýÊÇÒ»¸öÀý×Ó¡£ÕâÊÇÒòΪ£¬Âú×ãÌõ¼þ(1)µÄÈÆ×é³ý´ËÒÔÍ⻹ÓУ¬¶øÇÒ»¹¿ÉÒÔÀûÓæü°kʹÔÑÊý±ä»¯¡£
¸ù¾ÝÉÏÊö£¬ÊǼÙÏ뽫Êä³öÈÆ×鶨ÒåΪ3ÏàÈÆ×飬Ȼºó½øÐÐ3Ïà2Ïà±ä»»£¬Í¨¹ýÕâÑùµÃµ½2ÏàÊä³öÈÆ×é¡£ÕâÑù£¬Äܹ»È·ÈÏÊÇ×÷ΪÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£Í¨¹ý²ÉÓÃÕâÑùµÄ½á¹¹£¬ÓëÀø´ÅÓÃ3Ï๹³ÉµÄÐýת½Ç¶È¼ì²â×°ÖÃÏà±È£¬ÓÉÓÚÏàÊý¼õÉÙ£¬Òò´Ë¾ßÓнṹ¼òµ¥¡¢ÖÆÔ칤ÐòÈÝÒ×µÄЧ¹û¡£ÔÙÓУ¬ÈôÊÇÒÔÍùÀý£¬ÔÚÖá±¶½ÇΪ4ʱ£¬¶¨×ÓµÄTÐÎÌúÐÄΪ16£¬ÔÚÖá±¶½ÇΪ8ʱ£¬¶¨×ÓµÄTÐÎÌúÐÄÊýΪ32£¬¶ø¸ù¾Ý±¾·¢Ã÷£¬TÐÎÌúÐÄÌúÊýÖ»Òª12¼´¿É¡£¼´£¬¼´Ê¹Öá±¶½ÇÔö´ó£¬ÓëÒÔÍùÀýÏà±È£¬Ò²ÓÉÓÚÄܹ»¼õÉÙ¶¨×ÓµÄTÐÎÌúÐÄÊý¶ø¹¹³ÉÐýת½Ç¶È¼ì²â×°Öã¬Òò´Ë»¹¾ßÓоíÈÆÐÔ¡¢¼Ó¹¤ÐԺöøÇÒÅúÁ¿Éú²úÐԺõÄЧ¹û¡£ÔÙÓУ¬ÔÚÒÔÍùÀýÖÐÓÐʱʹÔÑÊý°´ÕýÏÒ²¨ÐÎ×´±ä»¯£¬ÔÚÕâÖÖÇé¿öÏ´æÔÚµÄÎÊÌâÊÇ£¬¾ßÓнö¾íÈÆÕæÕýºÜÉÙÔÑÊýµÄTÐÎÌúÐÄ£¬ÎªÁ˸ÃTÐÎÌúÐÄ£¬ÓÉÓÚ±ØÐë½øÐкܻ¨Ê±¼äµÄ×Ô¶¯¾íÈÆµÄ¾íÈÆ»úµÄµ¼¹Ü¶¨Î»£¬Òò´ËÈÆ×é×÷ҵЧÂʽµµÍ£¬¶øÔÚ±¾·¢Ã÷ÖУ¬¸ù¾Ýͼ46¡¢51¿ÉÖª£¬ÓÉÓÚ´æÔÚ¶à¸ö²»¼ÓÉÏÊä³öÈÆ×éÒ²¿ÉÒÔµÄTÐÎÌúÐÄ£¬Òò´Ë»¹¾ßÓÐÄܹ»Ìá¸ßÈÆ×é×÷ҵЧÂʵÄЧ¹û¡£ÁíÍ⣬ÔÚ¹¹³É2ÏàÊä³öÈÆ×éʱ£¬ÓÉÓÚÄܹ»ÒÔ3Ï๹³É¼ÙÉè¹¹³ÉµÄ¶àÏàÈÆ×飬Òò´Ë¾ßÓÐÄܹ»ÈÝÒ×¾ö¶¨Êä³öÈÆ×鹿¸ñµÄЧ¹û¡£
ʵʩÐÎ̬6±¾·¢Ã÷µÄÐýת½Ç¶È¼ì²â×°ÖÃÊÇÀûÓÃÈÆ×é»ñÈ¡ÔÚ¶¨×ÓÓëת×ӵįøÏ¶ÖвúÉúµÄ´Åͨ¶ø¶¯×÷µÄ£¬ÓÐʱ»áÊܵ½ÍâÀ´¸ÉÈŵÄÓ°Ïì¡£ÆäÖУ¬ÓÐʱÒò¿Õ¼ä0´Î´ÅÍ¨ÊÆ¶ø²úÉúµÄ´Åͨ»á²úÉú¶ñÁÓÓ°Ïì¡£¸Ã´ÅͨµÄ¿Õ¼ä´ÎÊýÓëת×ÓµÄÖá±¶½ÇÒ»Ö¡£ÀýÈ磬ÔÚÖá±¶½ÇΪ4µÄÐýת½Ç¶È¼ì²â×°ÖÃÖвúÉú¿Õ¼ä4´Î´Åͨ¡£¹ØÓÚÕâÒ»µã£¬ÏÂÃæÓÃͼ53¼ÓÒÔ˵Ã÷¡£ÔÚͼ53ÖУ¬30ÎªÈÆ×ª×Ó2µÄÖáÁ÷¶¯µÄµçÁ÷(µÄ·½Ïò)£¬31ΪµçÁ÷30²úÉúµÄ´ÅÍ¨ÊÆ(µÄ·½Ïò)£¬32ΪÓÉ´ÅÍ¨ÊÆ31¶ø²úÉúµÄÓëÖá±¶½ÇÏàͬ´ÎÊýµÄ´Åͨ¡£ÀýÈ磬Èçͼ53Ëùʾ£¬ÈôÓÐÈÆÖá×Ó2µÄÖáÁ÷¶¯µÄµçÁ÷30£¬Ôò´ÅÍ¨ÊÆ31ÑØÓ붨×Ó2µÄÖáÆ½Ðеķ½Ïò²úÉú£¬½á¹û¾ÍÔÚÐýת½Ç¶È¼ì²â×°ÖÃ10µÄת×Ó2Ó붨×Ó1Ö®¼ä²úÉú¿Õ¼ä0´ÎµÄ´ÅÍ¨ÊÆ¡£ÁíÍ⣬ÓÉÓÚת×Ó2¾ßÓÐÓëÖá±¶½ÇÏàͬÊýÁ¿µÄ͹¼«£¬Òò´Ë´Åµ¼ÂÊÒ²ÒԸôÎÊý±ä»¯£¬ËùÒÔÓɿռä0´ÎµÄ´ÅÍ¨ÊÆÔÚÆøÏ¶ÖвúÉúÓëÖá±¶½ÇÏàͬ´ÎÊýµÄ´Åͨ¡£ÁíÍ⣬»¹²úÉú¿Õ¼ä0´ÎµÄ´Åͨ¡£Èô¶¨×Ó1¾ßÓеÄÈÆ×é»ñÈ¡¸Ã´Åͨ£¬Ôò¼ì²âλÖÃÎó²îÔö´ó£¬²»ÄÜÕýÈ·¼ì²â½Ç¶È£¬ÕâÑùµÄÎÊÌâÔÚÒÔÍùµÄÐýת½Ç¶È¼ì²â×°ÖÃÖдæÔÚ¡£Òò´Ë£¬ÔÚ±¾ÊµÊ©ÐÎ̬ÖУ¬ÊÇÕâÑù¹¹³ÉÊä³öÈÆ×飬ʹÆä²»»ñÈ¡Óëת×Ӵŵ¼Âʱ仯µÄ¿Õ¼ä´ÎÊýÏàͬµÄ¿Õ¼ä´ÎÊýµÄ´Åͨ¼°Óɿռä0´ÎµÄ´ÅÍ¨ÊÆ²úÉúµÄ´Åͨ£¬ÒÔ·ÀÖ¹¼ì²âλÖÃÎó²îÔö´ó¡£
×÷Ϊ¾ßÌåÀý×Ó£¬¾Ù³öÉÏÊöͼ11µÄÖá±¶½ÇΪ4¡¢TÐÎÌúÐÄÊýΪ9µÄÀý×Ó¡£ÔÚÕâÖÖÇé¿öÏ£¬ÓÉÓÚÓɿռä0´ÎµÄ´ÅÍ¨ÊÆ²úÉú¿Õ¼ä4´ÎµÄ´Åͨ£¬Òò´ËÖ»Òª¹¹³É²»»ñÈ¡¸Ã´ÅͨµÄÈÆ×é¼´¿É¡£Í¼54ËùʾΪÏà¶ÔÓÚ¿Õ¼ä4´ÎµÄʸÁ¿Í¼¡£Ê×ÏÈ£¬¼ÙÉè¹¹³É3ÏàÈÆ×飬µ«ÕâʱֻҪʹÏà¶ÔÓÚ¿Õ¼ä4´ÎµÄʸÁ¿ºÍΪÁã¼´¿É¡£ÔÚͼ15ÖУ¬UÏàÈÆ×é¼ÓÔÚTÐÎÌúÐıêºÅ1¡¢5¡¢6ÉÏ£¬¶øÇÒ1Óë5¡¢6µÄ¼«ÐÔÏà·´£¬ÕâÀïÔÙʹTÐÎÌúÐıêºÅ5¼°6µÄÔÑÊý±äΪTÐÎÌúÐıêºÅ1µÄÔÑÊý£¬Í¨¹ýÕâÑùÄܹ»²»»ñÈ¡¿Õ¼ä4´ÎµÄ´Åͨ£¬¾ßÌåÀ´Ëµ£¬Ö»ÒªTÐÎÌúÐıêºÅ5¼°6µÄÔÑÊýN5£½N6ÓëTÐÎÌúÐıêºÅ1µÄÔÑÊýN1¾ßÓÐÏÂÊö¹ØÏµ¼´¿É¡£
N1=-2cos4π9N5=-2cos4π9N6······(5)]]>VÏ༰WÏàҲͬÑù£¬ÈôÐγɵç½Ç¶ÈÆ«ÒÆ120¶ÈµÄλÖùØÏµ£¬ÔòÄܹ»¾ö¶¨3ÏàÈÆ×鹿¸ñ¡£Í¼55ËùʾΪÆäÈÆ×éµÄÒ»¸öÀý×Ó¡£Í¼56ΪÔÙ½«Ëü½øÐÐ3Ïà2Ïà±ä»»µÄÀý×Ó£¬Í¼57ËùʾΪ¾ßÌåµÄÔÑÊý¡£ÁíÍ⣬ÔÚͼ57µÄÈÆ×éÖУ¬Êä³öÈÆ×é¸÷ÏàÔÑÊýµÄºÏ¼ÆÈô»¹¿¼ÂǼ«ÐÔ£¬ÔòΪ0¡£ÕâÑù£¬Ò²²»»ñÈ¡¿Õ¼ä0´ÎµÄ´Åͨ¡£Í¼58µÄÇúÏßËùʾΪÕâʱÊä³öµçÑ¹Ëæ×ª×ÓλÖÃÈçºÎ±ä»¯µÄÇé¿ö¡£ÔÚ¸ÃͼÖУ¬20Ϊ¦ÁÏàÈÆ×飬21Ϊ¦ÂÏàÈÆ×é¡£ÓÉÓÚµçѹÊÇÕýÏÒ²¨ÐÎ×´£¬»¥ÏàÆ«ÒÆµç½Ç¶È90¶È(»úе½Ç¶È22.5¶È)£¬Òò´ËÄܹ»È·ÈÏÊÇ×÷ΪÖá±¶½ÇΪ4µÄÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£
ÁíÍ⣬ÕâÀïÐðÊöµÄÊÇÖá±¶½ÇΪ4¡¢TÐÎÌúÐÄÊýΪ9µÄÇé¿ö£¬µ«ÓÉÓÚÖ»ÒªÓÃʸÁ¿Í¼²»»ñÈ¡ÀýÈçÓëÖá±¶½ÇÏàͬ¿Õ¼ä´ÎÊýµÄ´Åͨ¼´¿É£¬Òò´Ë¿ÉÒÔÓëÖá±¶½Ç¼°TÐÎÌúÐÄÊýÎ޹أ¬Äܹ»µÃµ½Í¬ÑùµÄЧ¹û¡£
¸ù¾ÝÉÏÊö£¬ÊǼÙÉ轫Êä³öÈÆ×鶨ÒåΪ3ÏàÈÆ×飬Ȼºó½øÐÐ3Ïà2Ïà±ä»»£¬Í¨¹ýÕâÑùµÃµ½2ÏàÊä³öÈÆ×é¡£ÕâÑù£¬Äܹ»È·ÈÏÊÇ×÷ΪÐýת½Ç¶È¼ì²â×°ÖÃÔÚ¶¯×÷¡£Í¨¹ý²ÉÓÃÕâÑùµÄ½á¹¹£¬ÓëÀø´ÅÓÃ3Ï๹³ÉµÄÐýת½Ç¶È¼ì²â×°ÖÃÏà±È£¬ÓÉÓÚÏàÊý¼õÉÙ£¬Òò´Ë¾ßÓнṹ¼òµ¥¡¢ÖÆÔ칤ÐòÈÝÒ×µÄЧ¹û¡£ÔÙÓУ¬ÈôÊÇÒÑÓм¼ÊõÀý£¬ÔÚÖá±¶½ÇΪ4ʱ£¬¶¨×ÓµÄTÐÎÌúÐÄΪ16£¬¶ø¸ù¾Ý±¾·¢Ã÷£¬TÐÎÌúÐÄÌúÊýÖ»Òª9¼´¿É¡£¼´£¬¼´Ê¹Öá±¶½ÇÔö´ó£¬ÓëÒÔÍùÀýÏà±È£¬Ò²ÓÉÓÚÄܹ»¼õÉÙ¶¨×ÓµÄTÐÎÌúÐÄÊý¶ø¹¹³ÉÐýת½Ç¶È¼ì²â×°Öã¬Òò´Ë»¹¾ßÓоíÈÆÐÔ¡¢¼Ó¹¤ÐԺöøÇÒÅúÁ¿Éú²úÐԺõÄЧ¹û¡£ÔÙÓУ¬ÔÚÒÔÍùÀýÖÐÓÐʱʹÔÑÊý°´ÕýÏÒ²¨ÐÎ×´±ä»¯£¬ÔÚÕâÖÖÇé¿öÏ´æÔÚµÄÎÊÌâÊÇ£¬¾ßÓнö¾íÈÆÕæÕýºÜÉÙÔÑÊýµÄTÐÎÌúÐÄ£¬ÎªÁ˸ÃTÐÎÌúÐÄ£¬ÓÉÓÚ±ØÐë½øÐкܻ¨Ê±¼äµÄ×Ô¶¯¾íÈÆµÄ¾íÈÆ»úµÄµ¼¹Ü¶¨Î»£¬Òò´ËÈÆ×é×÷ҵЧÂʽµµÍ£¬¶øÔÚ±¾·¢Ã÷ÖУ¬¸ù¾Ýͼ57¿ÉÖª£¬ÓÉÓÚ´æÔÚ¶à¸ö²»¼ÓÉÏÊä³öÈÆ×éÒ²¿ÉÒÔµÄTÐÎÌúÐÄ£¬Òò´Ë»¹¾ßÓÐÄܹ»Ìá¸ßÈÆ×é×÷ҵЧÂʵÄЧ¹û¡£ÁíÍ⣬ÔÚ¹¹³É2ÏàÊä³öÈÆ×éʱ£¬ÓÉÓÚÄܹ»ÒÔ3Ï๹³É¼ÙÉè¹¹³ÉµÄ¶àÏàÈÆ×飬Òò´Ë¾ßÓÐÄܹ»ÈÝÒ×¾ö¶¨Êä³öÈÆ×鹿¸ñµÄЧ¹û¡£
ÁíÍ⣬½øÒ»²½ÔÚ±¾ÊµÊ©ÐÎ̬ÖУ¬ÓÉÓÚÕâÑù¹¹³ÉÊä³öÈÆ×飬ʹµÃ2ÏàÊä³öÈÆ×é²»»ñÈ¡Óëת×Ӵŵ¼Âʱ仯µÄ¿Õ¼ä´ÎÊýÏàͬµÄ¿Õ¼ä´ÎÊýµÄ´Åͨ¼°Óɿռä0´Î´ÅÍ¨ÊÆ²úÉúµÄ´ÅͨµÄÌØ¶¨·ÖÁ¿£¬Òò´Ë»¹¾ßÓзÀÖ¹¼ì²âλÖÃÎó²îÔö´óµÄЧ¹û¡£
ʵʩÐÎ̬7µ½´ËΪֹ¶ÔÓÚת×ÓµÄÐÎ×´ÎÞÌØ±ðÏÞ¶¨£¬µ«ÓеÄÇé¿öÈôת×ÓµÄÐÎ×´²»Êʵ±£¬Ôò¼ì²âλÖÃÎó²îÔö´ó¡£ÔÚ±¾ÊµÊ©ÐÎ̬ÖУ¬ÊÇÉæ¼°ÀûÓÃÒòת×ÓÐÎ×´¶ø²úÉúµÄ´Åµ¼Âʱ仯·ÖÁ¿µÄÐýת½Ç¶È¼ì²â×°Öã¬ÈôÉÏÊö´Åµ¼Âʵı仯·ÖÁ¿ÊÇÕýÏÒ²¨ÐÎ×´£¬Ôò¼ì²âλÖÃÎó²î¼õС£¬¾«¶ÈÌá¸ß¡£
Òò¶ø£¬ÔÚÉèת×ÓµÄתÖáÖÐÐÄΪԭµã¡¢±íʾת×ÓÍâÖܵÄλÖÃΪ½Ç¶È¦Èʱ£¬Èô¶¨×ÓÄÚÖÜÓëת×ÓÍâÖܵĴŵ¼ÂʽǶȦÈÖл¹°üº¬Ö±Á÷·ÖÁ¿£¬³ÉΪA+Bcos(M¦È)¡­¡­(6)ÔòÆðµ½×÷Ϊ¸ß¾«¶ÈÐýת½Ç¶È¼ì²â×°ÖõŦÄÜ¡£Ê½ÖУ¬A¼°BΪÕý³£Êý£¬ÉèA£¾B£¬M×÷ΪÐýת½Ç¶È¼ì²â×°ÖõÄÖá±¶½Ç¡£ÓÉÓÚÆøÏ¶³¤Óë´Åµ¼Âʳɷ´±È£¬Ôò¸ù¾Ýʽ(6)£¬Èô²ÉÓÃǰÊö½Ç¶È¦ÈµÄλÖô¦µÄÆøÏ¶³¤Îª1A+Bcos(Mθ)······(7)]]>ÄÇÑùµÄת×ÓÐÎ×´£¬ÔòÆøÏ¶µÄ´Åµ¼ÂÊÂö¶¯·ÖÁ¿ÎªÕýÏÒ²¨ÐÎ×´£¬Äܹ»µÃµ½¸ß¾«¶ÈµÄÐýת½Ç¶È¼ì²â×°Öá£
Òò¶ø£¬¸ù¾Ý±¾ÊµÊ©ÐÎ̬£¬Äܹ»µÃµ½ÓëÉÏÊöʵʩÐÎ̬1~6ͬÑùµÄЧ¹û£¬Í¬Ê±»¹ÈçʵʩÐÎ̬1~6ËùÊöµÄÄÇÑùÉ趨Êä³öÈÆ×éµÄÔÑÊý£¬²¢ÇÒ½«×ª×Ó²ÉÓÃÓÉʽ(7)Ëù¾ö¶¨µÄÐÎ×´£¬Í¨¹ýÕâÑù¾ßÓеÄЧ¹ûÊÇ£¬Äܹ»½øÒ»²½¼õС¼ì²âλÖÃÎó²î£¬Äܹ»µÃµ½¸ß¾«¶ÈµÄÐýת½Ç¶È¼ì²â×°Öá£
ʵʩÐÎ̬8±¾·¢Ã÷µÄÐýת½Ç¶È¼ì²â×°ÖÃÊÇÀûÓÃÈÆ×é»ñȡת×ÓÓ붨×ӵįøÏ¶ÖвúÉúµÄ´Åͨ¶ø¶¯×÷µÄ£¬µ«ÔÚת×ÓµÄתÖáÓ붨×ÓÖÐÐÄÆ«ÒÆÊ±£¬»òת×ÓÖÐÐÄÓëתÖáÆ«ÒÆÊ±£¬¼´²úÉúÆ«ÐÄ»òÖáÆ«Ê±£¬¾ÍÓпÉÄÜÊܵ½Ìض¨´ÎÊý´Åͨ·ÖÁ¿µÄÓ°Ï죬Òò¶ø¼ì²âλÖÃÎó²îÔö´ó¡£ÒòÆ«ÐÄ»òÖáÆ«ÐIJúÉúµÄ´Åͨ´ÎÊýÀýÈçÓÐÏÂÊöÄÇÑùµÄ´ÎÊý£¬¼´(Àø´ÅµÄ´ÅÍ¨ÊÆµÄ´ÎÊý)¡À1ËùνÀø´ÅµÄ´ÅÍ¨ÊÆµÄ´ÎÊýÊÇÓÉÁ÷¹ýÀø´ÅÈÆ×éµÄµçÁ÷¶ø²úÉúµÄ´ÅÍ¨ÊÆµÄ¿Õ¼ä´ÎÊý¡£ÀýÈ磬ÈôÀø´ÅΪ6¼«£¬ÔòÀø´ÅµÄ´ÅÍ¨ÊÆµÄ´ÎÊýÔòΪ3¡£Õâʱ£¬¸ù¾ÝÉÏʽ£¬ÓÉÓÚ³ÉΪ3¡À1£½2£¬4Òò´Ë²úÉú¿Õ¼ä2´Î¼°4´Î´Åͨ¡£ÔÚÒÔÍùÀýÖоßÓеÄÎÊÌâÊÇ£¬ÍùÍùÊä³öÈÆ×é»ñÈ¡ÕâÑùÒòÆ«ÐĶø²úÉúµÄ´ÎÊýµÄ´Åͨ£¬µ¼Ö¼ì²âλÖÃÎó²îÔö´ó¡£Òò´Ë£¬ÔÚ±¾ÊµÊ©ÐÎ̬ÖУ¬ÐðÊö¹ØÓÚ²»»ñÈ¡ÒòÕâÑùµÄÆ«ÐÄ»òÖáÆ«¶ø²úÉúµÄ´ÅÍ¨ÌØ¶¨·ÖÁ¿µÄÈÆ×鹿¸ñ½á¹¹¡£
ͼ59ËùʾΪ¶¨×ÓµÄTÐÎÌúÐÄÊýΪ12¡¢Öá±¶½ÇΪ8µÄÀý×Ó¡£ÔÚͼ59ÖУ¬1Ϊ¶¨×Ó£¬2Ϊת×Ó£¬3Ϊ¶¨×Ó1ÉÏÉèÖõÄ12¸öTÐÎÌúÐÄ£¬4Ϊ¶¨×Ó1µÄÌúÐÄ£¬5Ϊ¾íÈÆÔÚTÐÎÌúÐÄ3ÉϵÄÈÆ×飬6Ϊת×Ó2µÄÌúÐÄ£¬7ΪÌúÐÄ6ÉÏÉèÖõÄ8¸ö͹¼«£¬10ΪÐýת½Ç¶È¼ì²â×°Öá£ÓëʵʩÐÎ̬5Ïàͬ£¬¼ÓÉÏÀø´ÅÈÆ×飬ʹÆäÐγÉ6¼«¡£Õâʱ£¬ÈçǰËùÊö£¬ÔÚÀø´ÅÈÆ×éΪ6¼«Ê±£¬ÒòÆ«ÐÄ»òÖáÆ«¶ø²úÉú¿Õ¼ä2´Î¼°4´Î´Åͨ¡£ÏÂÃæÓÃʸÁ¿Í¼À´¿¼ÂDz»»ñµÃ¸Ã2¸ö·ÖÁ¿µÄÊä³öÈÆ×éµÄ½á¹¹¡£Í¼60¼°61·Ö±ð±íʾÏà¶ÔÓÚ¿Õ¼ä2´Î¼°4´ÎµÄʸÁ¿Í¼¡£±íʾ12¸öTÐÎÌúÐĵĸ÷TÐÎÌúÐÄÉÏËù¼ÓµÄÈÆ×éÒÔÔõÑùµÄÏàλÓë¿Õ¼ä2´Î¼°4´Î´Åͨ½»Á´¡£´Ó¸ÃʸÁ¿Í¼¿ÉÀí½â£¬ÀýÈçÏñTÐÎÌúÐıêºÅ1¡¢3¡¢5ÄÇÑù£¬ÓëÓÃn¡¢n+2¡¢n+4(n£½1¡¢2¡¢3...)µÄ¹ØÏµ±íʾµÄTÐÎÌúÐÄËù¼ÓµÄÈÆ×é½»Á´µÄ´ÅͨʸÁ¿»¥ÏàÆ«ÒÆµç½Ç¶È120¶È£¬ÆäºÍΪ0¡£ÔÚ¼ÙÉè¹¹³É3ÏàÈÆ×éʱ£¬ÈôÑ¡ÔñÕâÑù¿Õ¼ä2´Î¼°4´Î´ÅͨʸÁ¿ºÍΪ0µÄ×éºÏ£¬ÔòÀûÓÃ3Ïà2Ïà±ä»»¶øµÃµ½µÄ2ÏàÊä³öÈÆ×éÒ²¾Í²»»ñÈ¡¿Õ¼ä2´Î¼°4´Î´Åͨ¡£¼´ÈÏΪ£¬¼´Ê¹²úÉúÆ«ÐÄ»òÖáÆ«£¬Ò²ÓÉÓÚ²»»ñÈ¡ÓëÖ®ÏàÓ¦¶ø²úÉúµÄ´ÅÍ¨ÌØ¶¨·ÖÁ¿£¬Òò´ËÄܹ»·ÀÖ¹¼ì²âλÖÃÎó²îÔö´ó¡£
ÕâÀ¾Ù³ö¾ßÌåµÄÈÆ×鹿¸ñµÄÀý×Ó¡£Í¼62¡¢63¡¢64ËùʾΪ¼ÙÏë¹¹³ÉµÄ3ÏàÈÆ×éµÄÀý×Ó¡£UÏà¡¢VÏà¡¢WÏà´¦ÓÚ·Ö±ðÆ«ÒÆµç½Ç¶È120¶ÈµÄλÖùØÏµ£¬ÔÙ½øÒ»²½¸÷ÏàÈÆ×éÈçǰËùÊö£¬ÏñTÐÎÌúÐıêºÅ1¡¢3¡¢5ÄÇÑù£¬Í¨¹ý¶ÔÓÃn¡¢n+2¡¢n+4(n£½1¡¢2¡¢3...)µÄ¹ØÏµ±íʾµÄTÐÎÌúÐıêºÅ¼ÓÉÏÈÆ×é¶ø¹¹³É¡£ÔÚͼ62ÖУ¬UÏàÓÃTÐÎÌúÐıêºÅ1¡¢3¡¢5¹¹³É£¬ÔÚͼ63ÖУ¬UÏàÓÃTÐÎÌúÐıêºÅ1¡¢3¡¢5¼°2¡¢4¡¢6¹¹³É£¬ÔÚͼ64ÖУ¬ÓÃTÐÎÌúÐıêºÅ1¡¢3¡¢5¼°8¡¢10¡¢12¹¹³É¡£¹ØÓÚVÏ༰WÏ࣬ʹÆäÓëUÏàÐÎ³ÉÆ«ÒƵç½Ç¶È¡À120¶ÈµÄλÖùØÏµ¶ø¹¹³É¡£Í¼65¡¢66¡¢67ËùʾΪͨ¹ý½«ËüÃǽøÐÐ3Ïà2Ïà±ä»»¶ø±ä»»Îª2ÏàÊä³öÈÆ×éµÄÀý×Ó¡£½øÒ»²½Í¼68¡¢69¡¢70ËùʾΪ¾ßÌåµÄÔÑÊýµÄÀý×Ó¡£
ͼ71ËùʾΪÔÚÕâÑù3ÖÖÈÆ×鹿¸ñ(Ö®1¡¢Ö®2¡¢Ö®3)µÄÐýת½Ç¶È¼ì²â×°ÖÃÖÐת×ÓÓ붨×ÓÖ®¼ä²úÉú0.10mmÆ«ÐĵÄÇé¿ö¼°Ã»ÓÐÆ«ÐĵÄÀíÏëÇé¿öµÄ¼ì²âλÖÃÎó²î¡£ÎªÁË±È½ÏÆð¼û£¬»¹¸ø³öÒÔÍùµÄÈÆ×鹿¸ñµÄ½á¹û¡£¸ù¾Ý¸Ã½á¹ûÔòһĿÁËÈ»£¬¶ÔÓÚÒÔÍùµÄÈÆ×鹿¸ñ£¬ÒòÆ«ÐĶø²úÉúµÄ¼ì²âλÖÃÎó²îÏÔÖøÔö´ó£¬¶ø¶ÔÓÚ±¾ÊµÊ©ÐÎ̬µÄÈÆ×鹿¸ñ£¬¼´Ê¹²úÉúÆ«ÐÄ£¬¼ì²âλÖÃÎó²îÒ²¼¸ºõ²»±ä£¬ÓëÒÔÍùÀýÏà±È£¬Æðµ½×÷Ϊ¼«¸ß¾«¶ÈµÄÐýת½Ç¶È¼ì²â×°ÖõŦÄÜ¡£
ÕâÀÊǶÔÓÚ¶¨×ÓµÄTÐÎÌúÐÄÊýΪ12¡¢Öá±¶½ÇΪ8µÄÀý×Ó½øÐÐÁËÐðÊö£¬µ«ÓеÄÈÆ×鹿¸ñ¼´Ê¹²ÉÓÃÕâÀïËùʾµÄÒÔÍâµÄÔÑÊý£¬Ò²Äܵõ½Í¬ÑùµÄЧ¹û£¬ÁíÍ⼴ʹÊÇÆäËüµÄTÐÎÌúÐÄÊý»òÖá±¶½Ç£¬Èô¹¹³ÉÊä³öÈÆ×飬ʹÆä²»»ñÈ¡ÒòÆ«ÐÄ»òÖáÆ«¶ø²úÉúµÄÆøÏ¶´ÅͨµÄÌØ¶¨´ÎÊý·ÖÁ¿£¬µ±È»Ò²Äܵõ½Í¬ÑùµÄЧ¹û¡£
ÈçÉÏËùÊö£¬ÔÚ±¾ÊµÊ©ÐÎ̬ÖУ¬Äܹ»µÃµ½ÓëÉÏÊöʵʩÐÎ̬1~7ͬÑùµÄЧ¹û£¬Í¬Ê±»¹½øÒ»²½Í¨¹ý½«Êä³öÈÆ×éµÄ½á¹¹²ÉÓñ¾ÊµÊ©ÐÎ̬ËùÊöÄÇÑùµÄ½á¹¹£¬ÓÉÓÚ²»»ñÈ¡ÔÚת×ÓµÄתÖáÓ붨×ÓÖÐÐÄÆ«ÒÆÊ±£¬¼´Æ«ÐÄ»òÖáÆ«²úÉúʱËù²úÉúµÄ´ÅͨÃܶȵÄÌØ¶¨·ÖÁ¿£¬Òò´ËÄܹ»·ÀÖ¹¼ì²âλÖÃÎó²îÔö´ó¡£ÁíÍ⣬Òò°²×°Î»ÖÃÎó²î»òÆ«ÐÄ¡¢ÖáÆ«µÈ²»Ôö´ó¼ì²âλÖÃÎó²î£¬´Ó¶ø»¹¾ßÓÐÄܹ»½µµÍΪÁËÌá¸ß°²×°Î»Öþ«¶ÈËù»¨³É±¾µÄЧ¹û¡£ÁíÍ⣬ÕâÀïËùÊöµÄÈÆ×鹿¸ñ£¬¼´Ê¹Öá±¶½ÇÔö´ó£¬ÓëÒÔÍùÀýÏà±È£¬Ò²ÓÉÓÚÄܹ»¼õÉÙ¶¨×ÓµÄTÐÎÌúÐÄÊý£¬¶ø¹¹³ÉÐýת½Ç¶È¼ì²â×°Öã¬Òò´Ë»¹¾ßÓоíÈÆÐÔ¡¢¼Ó¹¤ÐԺöøÇÒÅúÁ¿Éú²úÐԺõÄЧ¹û¡£ÔÙÓУ¬ÔÚÒÔÍùÀýÖÐÓÐʱʹÔÑÊý°´ÕýÏÒ²¨ÐÎ×´±ä»¯£¬ÔÚÕâÖÖÇé¿öÏ´æÔÚµÄÎÊÌâÊÇ£¬¾ßÓнö¾íÈÆÕæÕýºÜÉÙÔÑÊýµÄTÐÎÌúÐÄ£¬ÎªÁ˸ÃTÐÎÌúÐÄ£¬ÓÉÓÚ±ØÐë½øÐкܻ¨Ê±¼äµÄ×Ô¶¯¾íÈÆµÄ¾íÈÆ»úµÄµ¼¹Ü¶¨Î»£¬Òò´ËÈÆ×é×÷ҵЧÂʽµµÍ£¬¶øÔÚ±¾·¢Ã÷ÖУ¬¸ù¾Ýͼ68¡¢69¡¢70¿ÉÖª£¬ÓÉÓÚ´æÔÚ¶à¸ö²»¼ÓÉÏÊä³öÈÆ×éÒ²¿ÉÒÔµÄTÐÎÌúÐÄ£¬Òò´Ëµ±È»»¹¾ßÓÐÄܹ»Ìá¸ßÈÆ×é×÷ҵЧÂʵÄЧ¹û¡£
ʵʩÐÎ̬9ÔÚ±¾ÊµÊ©ÐÎ̬ÖУ¬ËµÃ÷½«ÉÏÊöʵʩÐÎ̬1~8ÖÐ˵Ã÷µÄ±¾·¢Ã÷µÄÐýת½Ç¶È¼ì²â×°ÖÃÓÃÓÚ·¢µç»ú»òµç¶¯»úµÈ¸÷ÖÖÐýתµç»úµÄÇé¿ö¡£ÔÚÉÏÊöʵʩÐÎ̬1~8ÖÐÐðÊöÁËͨ¹ý²ÉÓöàÏà2Ïà±ä»»À´¹¹³ÉÈÆ×飬¼´Ê¹Öá±¶½ÇÔö¼Ó£¬ÓëÒÔÍùÀýÏà±È£¬¶¨×ÓµÄTÐÎÌúÐÄÊýÒ²Ö»Òª½ÏÉÙÊýÁ¿¼´¿É£¬Äܹ»µÃµ½ÅúÁ¿Éú²úÐԺõÄÐýת½Ç¶È¼ì²â×°Öá£ÕâÑùµÄÐýת½Ç¶È¼ì²â×°ÖÃÓë¹âѧʽ±àÂëÆ÷Ïà±È£¬ÓÉÓÚ¼Û¸ñ±ãÒË£¬»·¾³ÊÊÓ¦ÐԺã¬Òò´ËÈôÓÃ×÷Ϊµç¶¯»ú»ò·¢µç»úµÈÐýתµç»úÉÏÉèÖõÄÐýת½Ç¶È´«¸ÐÆ÷£¬Ôò¾ßÓÐÄܹ»¹¹Öþ¼ÛÁ®¡¢»·¾³ÊÊÓ¦ÐÔ³öÉ«µÄϵͳµÄЧ¹û¡£ÀýÈç¿ÉÒÔ¿¼ÂÇÔÚ³µÁ¾ÓÃÆ¤´øÇý¶¯Ê½ISG(Integrated Starter Generator£¬Ò»Ì廯Æð¶¯·¢µç»ú)Öа²×°±¾·¢Ã÷µÄÐýת½Ç¶È¼ì²â×°Öá£
ͼ72ËùʾΪÔÚ¾ßÓÐצÐÎÀø´ÅÌúÐĵķ¢µç»úÖа²×°±¾·¢Ã÷µÄÐýת½Ç¶È¼ì²â×°ÖõĽṹͼ¡£ÔÚͼ72ÖУ¬1ΪÐýת½Ç¶È¼ì²â×°ÖÃ10µÄ¶¨×Ó£¬2ΪÐýת½Ç¶È¼ì²â×°ÖÃ10µÄת×Ó£¬5Ϊ¾íÈÆÔÚTÐÎÌúÐÄ3ÉϵÄÀø´ÅÈÆ×飬8ΪÊä³öÈÆ×飬40Ϊ·¢µç»ú(»òµç¶¯»ú)£¬41Ϊ·¢µç»ú40µÄÀø´ÅÌúÐÄ£¬42ΪÖᣬ43µÄÖá³Ð£¬44ΪÀø´ÅÈÆ×é(Á÷¹ýÀø´ÅµçÁ÷)£¬45Ϊ·¢µç»ú40µÄ¶¨×Ó¡£
ÔÚÆ¤´øÇý¶¯Ê½ISGµÄϵͳÖУ¬ÓÉÓÚ·¢µç»ú(Ò²×÷Ϊµç¶¯»ú¶¯×÷)ÅäÖÃÔÚ·¢¶¯»ú²ÕÖУ¬Òò´Ë³ÐÊܸßΣ¬¹âѧʽ±àÂëÆ÷²»ÊʺÏ¡£ÁíÍ⣬×÷ΪϵͳÆä¼Û¸ñ°º¹ó¡£Òò´Ë£¬Èô²ÉÓÃÓÉÌúÐļ°ÈÆ×é¹¹³ÉµÄ±¾·¢Ã÷µÄÐýת½Ç¶È¼ì²â×°Öã¬ÔòÄܹ»¹¹Öþ»·¾³ÊÊÓ¦ÐԺᢼÛÁ®¡¢¾«ÇɵÄϵͳ¡£ÁíÍ⣬ÈçÉÏËùÊö£¬ÓÉÓÚ±¾·¢Ã÷µÄÐýת½Ç¶È¼ì²â×°ÖõÄÖÆÔ칤ÐòÈÝÒ×£¬ËùÒÔ²ÉÓÃËüµÄÐýתµç»úµÄÖÆÔ칤ÐòÒ²ÖÁÉÙÒò´Ë¶øÈÝÒס£
ÔÙÓУ¬¾ßÓÐצÐÎÀø´ÅÌúÐĵĵ綯»ú»ò·¢µç»úµÄÀø´ÅµçÁ÷Èçͼ53ËùʾÁ÷¶¯£¬ÔÚÐýת½Ç¶È¼ì²â×°ÖÃµÄÆøÏ¶²úÉú¿Õ¼ä0´ÎµÄ´ÅÍ¨ÊÆ¡£Òò¶ø£¬ÔÚÆøÏ¶ÖвúÉúÓëÖá±¶½ÇÏàͬµÄ¿Õ¼ä´ÎÊýµÄ´Åͨ£¬ÈôÓÃÒÔÍùµÄ¼¼Êõ£¬Êä³öÈÆ×é»á»ñÈ¡¸Ã·ÖÁ¿£¬µ¼ÖÂÁ˼ì²âλÖÃÎó²îÔö´ó¡£µ«ÊÇ£¬Èç±¾·¢Ã÷ʵʩÐÎ̬6ËùÊöÄÇÑù£¬Èô¹¹³ÉÈÆ×éʹÆä²»»ñÈ¡ÓëÖá±¶½ÇÏàͬ´ÎÊýµÄ´Åͨ£¬ÔòµÃµ½Äܹ»·ÀÖ¹¼ì²âλÖÃÎó²îÔö´óµÄЧ¹û¡£
ÁíÍ⣬ÕâÀï½öÐðÊöÁ˾߱¸×¦ÐÎÀø´ÅÌúÐĵĵ綯»ú»ò·¢µç»ú£¬µ«ÔÚÒ»°ãµÄµç¶¯»ú»ò·¢¶¯»úÖУ¬ÓÉÓÚÍùÍùÒ²²úÉú¿Õ¼ä0´ÎµÄ´ÅÍ¨ÊÆ£¬Òò´Ëͨ¹ý²ÉÓñ¾·¢Ã÷µÄÐýת½Ç¶È¼ì²â×°Ö㬵±È»Ò²Äܹ»·ÀÖ¹¼ì²âλÖÃÎó²îÔö´ó¡£
ÁíÍ⣬ËäÍùÍùÒò°²×°Î»ÖÃÎó²îµÈ¹¤×÷Îó²î²úÉúת×ÓÆ«ÐÄ£¬µ«ÈçʵʩÐÎ̬8ËùÊöÄÇÑù£¬ÓÉÓÚʹÊä³öÈÆ×é²»»ñÈ¡ÒòÆ«ÐÄ»òÖáÆ«¶ø²úÉúµÄÆøÏ¶´ÅͨµÄÌØ¶¨´ÎÊý·ÖÁ¿¶ø¹¹³É£¬Òò´Ë¾ßÓÐÄܹ»·ÀÖ¹ÒòÆ«ÐÄ»òÖáÆ«¶øÒýÆðµÄ¼ì²âλÖÃÎó²îÔö´óµÄЧ¹û¡£ÔÙÓУ¬Òò°²×°Î»ÖÃÎó²î»òÆ«ÐÄ¡¢ÖáÆ«µÈ²»Ôö´ó¼ì²âλÖÃÎó²î£¬´Ó¶ø»¹¾ßÓÐÄܹ»½µµÍΪÁËÌá¸ß°²×°Î»Öþ«¶ÈËù»¨³É±¾µÄЧ¹û¡£
ÁíÍ⣬ÔÚÉÏÊöʵʩÐÎ̬1~9ÖУ¬Êǽ«Ô¤ÏȼÙÏ붨ÒåµÄ¶àÏàÈÆ×é±ä»»Îª2Ï࣬ÒÔ¾ßÓÐÕâÑùͨ¹ý±ä»»¶øµÃµ½ÔÑÊýµÄ2ÏàÊä³öÈÆ×éµÄ¶¨×ÓµÄÐýת½Ç¶È¼ì²â×°ÖÃΪÀý½øÐÐ˵Ã÷£¬µ«²»ÏÞÓÚÕâÖÖÇé¿ö£¬¶àÏàÈÆ×éÒ²¿ÉÒÔ²»ÊǼÙÏëµÄ£¬¶øÊÇʵ¼Ê¶¨ÒåµÄ£¬ÁíÍâÒ²¿ÉÒÔÊÇÓÃÈκαðµÄ·½·¨µÃµ½µÄ£¬ÔÚÄÇÖÖÇé¿öÏÂÒ²Äܹ»µÃµ½ÓëÉÏÊöͬÑùµÄЧ¹û¡£
ÈçÉÏËùÊö£¬±¾·¢Ã÷ÓйصÄÐýת½Ç¶È¼ì²â×°Öò»½ö¿ÉÊÊÓÃÓÚ³µÁ¾ÓÃÆ¤´øÇý¶¯·½Ê½ISG(Integrated Starter Generator)£¬Ò²¿ÉÓÃ×÷ΪÄܹ»¹ã·ºÊÊÓÃÓÚ¸÷ÖÖÆäËüµç¶¯»úµÄÐýת½Ç¶È¼ì²âÆ÷¡£
ȨÀûÒªÇó
1.Ò»ÖÖÐýת½Ç¶È¼ì²â×°Öã¬ÆäÌØÕ÷ÔÚÓÚ£¬ÊÇÓÉÉèÖÃ1ÏàÀø´ÅÈÆ×é¼°2×éÊä³öÈÆ×éµÄ¶¨×Ó¡¢ÒÔ¼°¾ßÓÐ͹¼«µÄת×Ó¹¹³ÉµÄÐýת½Ç¶È¼ì²â×°Öã¬ËùÊö2ÏàÊä³öÈÆ×é¾íÈÆÔÚËùÊö¶¨×ӵĶà¸öTÐÎÌúÐÄÉÏ£¬ËùÊö2ÏàÊä³öÈÆ×éµÄ¸÷ÔÑÊýÊÇͨ¹ý²ÉÓÃÔ¤Ïȶ¨ÒåµÄmÏàÈÆ×é(mΪ3¼°3ÒÔÉϵÄÕûÊý)¡¢²¢½«¸ÃmÏàÈÆ×éµÄÔÑÊý±ä»»Îª2Ïà¶øµÃµ½µÄ¡£
2.ÈçȨÀûÒªÇó1ËùÊöµÄÐýת½Ç¶È¼ì²â×°Öã¬ÆäÌØÕ÷ÔÚÓÚ£¬ÔÚ½«ËùÊömÏàÈÆ×é(mΪ3¼°3ÒÔÉϵÄÕûÊý)µÄÔÑÊý±ä»»Îª2Ïàʱ£¬ÀûÓÃNαi=kΣn=1mNnicos(γ+2(n-1)mπ)]]>Nβi=kΣn=1mNnisin(γ+2(n-1)mπ)]]>(¦Ã±íʾÈÎÒâ³£Êý£¬k±íʾ²»ÎªÁãµÄÈÎÒâ³£Êý£¬Ï±êi±íʾTÐÎÌúÐıêºÅ£¬¦Á¼°¦Â±íʾ±ä»»ºóµÄ2ÏàÈÆ×飬n±íʾ±ä»»Ç°µÄµÚnÏà¡£¼´£¬N¦Ái¼°N¦Âi·Ö±ð±íʾµÚi¸öTÐÎÌúÐĵĦÁÏ༰¦ÂÏàÈÆ×éµÄÔÑÊý£¬Nni±íʾµÚi¸öTÐÎÌúÐĵĵÚnÏàÈÆ×éµÄÔÑÊý)µÄ±ä»»Ê½½øÐб任¡£
3.ÈçȨÀûÒªÇó1»ò2ËùÊöµÄÐýת½Ç¶È¼ì²â×°Öã¬ÆäÌØÕ÷ÔÚÓÚ£¬È¡ËùÊö¶¨×ÓµÄTÐÎÌúÐĸöÊýΪ3n(nΪ×ÔÈ»Êý)¡£
4.ÈçȨÀûÒªÇó1»ò2ËùÊöµÄÐýת½Ç¶È¼ì²â×°Öã¬ÆäÌØÕ÷ÔÚÓÚ£¬ÔÚËùÊö¶¨×ÓµÄTÐÎÌúÐĸöÊýÎªÆæÊý¸öʱ£¬ËùÊöÀø´ÅÈÆ×éµÄÈÆ×éģʽÐγÉÖØ¸´ÓëËùÊöTÐÎÌúÐĸöÊýµÄÔ¼ÊýÖµÏàͬÊýÄ¿µÄ´ÎÊýµÄģʽ¡£
5.ÈçȨÀûÒªÇó3»ò4ËùÊöµÄÐýת½Ç¶È¼ì²â×°Öã¬ÆäÌØÕ÷ÔÚÓÚ£¬È¡ËùÊö¶¨×ÓµÄTÐÎÌúÐĸöÊýΪ9£¬Öá±¶½ÇΪ4»ò8µÄÈÎÒ»¸öÁ¿¡£
6.ÈçȨÀûÒªÇó3ËùÊöµÄÐýת½Ç¶È¼ì²â×°Öã¬ÆäÌØÕ÷ÔÚÓÚ£¬È¡¶¨×ÓµÄTÐÎÌúÐĸöÊýΪ12£¬Öá±¶½ÇΪ4»ò8µÄÈÎÒ»¸öÁ¿¡£
7.ÈçȨÀûÒªÇó1ÖÁ6µÄÈÎÒ»ÏîËùÊöµÄÐýת½Ç¶È¼ì²â×°Öã¬ÆäÌØÕ÷ÔÚÓÚ£¬ËùÊö2ÏàÊä³öÈÆ×éµ÷ÕûÔÑÊý£¬Ê¹µÃ²»»ñÈ¡ÓëËùÊöת×Ӵŵ¼Âʱ仯µÄ¿Õ¼ä´ÎÊýÏàͬµÄ¿Õ¼ä´ÎÊýµÄ´Åͨ¼°¿Õ¼ä0´ÎµÄ´Åͨ¡£
8.ÈçȨÀûÒªÇó1ÖÁ7µÄÈÎÒ»ÏîËùÊöµÄÐýת½Ç¶È¼ì²â×°Öã¬ÆäÌØÕ÷ÔÚÓÚ£¬ËùÊö2ÏàÊä³öÈÆ×éµ÷ÕûÔÑÊý£¬Ê¹µÃ²»»ñÈ¡ÔÚת×ÓµÄתÖáÓ붨×ÓÖÐÐÄÆ«ÒÆÊ±¡¢»òת×ÓÖÐÐÄÓëתÖáÆ«ÒÆÊ±²úÉúµÄÆøÏ¶´ÅͨµÄÌØ¶¨·ÖÁ¿¡£
9.Ò»ÖÖÐýתµç»ú£¬ÆäÌØÕ÷ÔÚÓÚ£¬¾ßÓÐȨÀûÒªÇó1»ò8µÄÈÎÒ»ÏîËùÊöµÄÐýת½Ç¶È¼ì²â×°Öá£
È«ÎÄÕªÒª
±¾·¢Ã÷ÊÇÓÉÉèÖÃ1ÏàÀø´ÅÈÆ×é¼°2ÏàÊä³öÈÆ×éµÄ¶¨×Ó¡¢ÒÔ¼°¾ßÓÐ͹¼«µÄת×Ó¹¹³ÉµÄÐýת½Ç¶È¼ì²â×°Öü°Ê¹ÓÃËüµÄÐýתµç»ú£¬ÓÉÓÚÉÏÊö2ÏàÊä³öÈÆ×é¾íÈÆÔÚÉÏÊö¶¨×ӵĶà¸öTÐÎÌúÐÄÉÏ£¬ÉÏÊö2ÏàÊä³öÈÆ×éµÄ¸÷ÔÑÊýÊÇͨ¹ý¼ÙÏ붨ÒåmÏàÈÆ×é(mΪ3¼°3ÒÔÉϵÄÕûÊý)¡¢²¢½«¸ÃmÏàÈÆ×éµÄÔÑÊý±ä»»Îª2Ïà¶øµÃµ½µÄÔÑÊý£¬Òò´ËÓëÓÃmÏ๹³ÉµÄÇé¿öÏà±È£¬ÒòÏàÊý¼õÉÙ£¬ËùÒԽṹ¼òµ¥£¬ÖÆÔ칤ÐòÈÝÒס£
Îĵµ±àºÅG01D5/20GK1646882SQ03808440
¹«¿ªÈÕ2005Äê7ÔÂ27ÈÕ ÉêÇëÈÕÆÚ2003Äê4ÔÂ15ÈÕ ÓÅÏÈȨÈÕ2002Äê4ÔÂ15ÈÕ
·¢Ã÷ÕßÖÐÒ°ÕýËÃ, Î÷´åÉ÷¶þ ÉêÇëÈË:ÈýÁâµç»úÖêʽ»áÉç

  • רÀûÃû³Æ£ºÒ»ÖÖ΢ÄɹâÏ˲¼À­¸ñ¹âÕ¤ÕÛÉäÂÊ´«¸ÐÆ÷¼°ÆäÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾·¢Ã÷ÊôÓÚ¹âÏË´«¸Ð¼¼ÊõÁìÓò£¬¾ßÌåÉæ¼°Ò»ÖÖ΢ÄɹâÏ˲¼À­¸ñ¹âÕ¤ÕÛÉäÂÊ´«¸ÐÆ÷¼°ÆäÖÆ×÷·½·¨¡£±³¾°¼¼Êõ£ºÕÛÉäÂÊÊdz£ÓõĹâѧ²ÎÊýÖ®Ò»£¬ÎïÖʵÄÐí¶àÎïÀí¡¢»¯Ñ§²ÎÊýÓëÕÛÉäÂÊÓйأ¬²âÁ¿ÕÛÉäÂÊÔÚʯ
  • רÀûÃû³Æ£ºÓÃÓÚ²âÊÔÇåÏ´É豸µÄÇåϴЧ¹ûµÄ×°Öúͷ½·¨¼¼ÊõÁìÓò£º±¾·¢Ã÷Éæ¼°Ò»ÖÖÓÃÓÚ²âÊÔÇåÏ´É豸µÄÇåϴЧ¹ûµÄ×°Öúͷ½·¨£¬ËùÊöÇåÏ´É豸ÊÇÈÝÆ÷´¦ÀíÉèÊ©(plant)µÄÒ»²¿·Ö¡£±³¾°¼¼Êõ£ºÇåÏ´É豸ÓÃÓÚÀýÈçÒûÁϹ¤ÒµµÄ¹à×°ÉèÊ©ÒÔÇåÏ´¡¢ÌرðÊÇÃð¾úÖîÈçÆ¿µÈÈÝÆ÷¡£Çå
  • רÀûÃû³Æ£ºÒºÌ¬Ê³Æ·ÓÃÕæ¿ÕÈ¡ÑùÆ÷µÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾ÊµÓÃÐÂÐÍÉæ¼°Ò»ÖÖ²âÁ¿Æ÷¾ß£¬¾ßÌåµÄ˵ÊÇÒ»Öֽṹ¼òµ¥¡¢ÒºÌ¬Ê³Æ·ÓÃÕæ¿ÕÈ¡ÑùÆ÷¡£±³¾°¼¼Êõ£ºÔÚÓëÈËÃÇÈÕ³£Éú»îÃÜÇÐÏà¹ØµÄÐÐÒµÀ±ÈÈçʳƷ¡¢Ò©Æ·µÈ¾«Ï¸»¯ÆóÒµÖУ¬ÖÊÁ¿¼ìÑéÓÈÎªÖØÒª¡£ÖÊÁ¿¼ìÑéÔ±ÍùÍùÐèҪȡÑùÀ´
  • רÀûÃû³Æ£ºÒ»ÖÖ´«¸ÐÆ÷µÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾ÊµÓÃÐÂÐÍÉæ¼°Ò»ÖÖ´«¸ÐÆ÷¡£±³¾°¼¼Êõ£ºÏÖÓм¼ÊõÖÐΪÁ˱£»¤´«¸ÐÆ÷Ñõ»¯ï¯¹Ü£¬½«Ñõ»¯ÂÁ»òþÂÁ¼â¾§Ê¯Ê¹ÓõÈÀë×ÓÅçÍ¿»úÅçÉäµ½´«¸ÐÆ÷Ñõ»¯ï¯¹Ü±íÃæ£¬³É±¾¸ß¡¢Ê¹ÓÃÔ­²ÄÁ϶ࡢЧÂʵÍ¡¢É豸ά»¤ÄÑ¡¢ÐèÒªÓÐרҵµÄÉ豸²Ù×÷ÈËԱʵ
  • רÀûÃû³Æ£ºÒ»ÖÖ½»Áª¾ÛÒÒÏ©xlpeµçÁ¦µçÀÂζÈÖÇÄܼà²âϵͳµÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾·¢Ã÷Éæ¼°µçÁ¦µçÀ¼à²â¼¼ÊõÁìÓò£¬ÓÈÆäÊÇÒ»ÖÖ½»Áª¾ÛÒÒÏ©XLPEµçÁ¦µçÀÂζÈÖÇÄܼà²âϵͳ¡£±³¾°¼¼Êõ£º½»Áª¾ÛÒÒÏ©µçÁ¦µçÀÂÓÉÓÚ¾ßÓÐÎÞÓÍ¡¢¸½ÊôÉ豸ÉÙ¡¢°²×°·óÉèºÍÔËÐÐά»¤¼òµ¥µÈ
  • רÀûÃû³Æ£ºÒ»ÖÖ»ú³µÓñäѹÆ÷ÓÍÏäÊÔѹװÖõÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾ÊµÓÃÐÂÐÍÉæ¼°Ò»ÖÖ»ú³µÓñäѹÆ÷ÓÍÏäÊÔѹװÖã»ÓÃÓÚÖÆÔìÌú·µçÁ¦»ú³µÉϱäѹÆ÷µÄÓÍÏä¡£±³¾°¼¼Êõ£ºËæ×ÅÎÒ¹úÌú·ÔËÊäµçÆø»¯µÄ·¢Õ¹ÐèÒª£¬ÖØÔظßËÙµçÁ¦»ú³µµÃµ½ÁËѸËٵķ¢Õ¹ºÍÓ¦Óã¬Ìú·Ðгµ°²È«Ò²ÈÕÒæ
ɽ¶«ÑÇÐÇÓÎÏ·¹ÙÍø»ú´²ÓÐÏÞ¹«Ë¾
È«¹ú·þÎñÈÈÏߣº13062023238
µç»°£º13062023238
µØÖ·£ºëøÖÝÊÐÁúȪ¹¤ÒµÔ°68ºÅ
¹Ø¼ü´Ê£ºÏ³´²£¬Êý¿ØÏ³´²£¬ÁúÃÅϳ´²
¹«Ë¾¶þάÂë
Copyright 2010-2024 °æÈ¨ËùÓÐ All rights reserved ³ICP±¸19044495ºÅ-12
¡¾ÍøÕ¾µØÍ¼¡¿¡¾sitemap¡¿