ÌâÄ¿ÄÚÈÝ

8£®Ä³ÖÖС¶¯ÎïµÄëɫ¿ÉÒÔÊÇרɫ¡¢Òø»ÒÉ«ºÍºÚÉ«£¨Ïà¹Ø»ùÒòÒÀ´ÎÓÃA1¡¢A2ºÍA3±íʾ£©£®Èç±íÑо¿ÈËÔ±½øÐеÄÓйØÔÓ½»ÊµÑ飮
×é±ðÇ×±¾×Ó´ú£¨F1£©
¼×רɫ¡Áרɫ$\frac{2}{3}$רɫ¡¢$\frac{1}{3}$Òø»ÒÉ«
ÒÒרɫ¡ÁÒø»ÒÉ«$\frac{1}{2}$רɫ¡¢$\frac{1}{2}$Òø»ÒÉ«
±ûרɫ¡ÁºÚÉ«$\frac{1}{2}$רɫ¡¢$\frac{1}{2}$ºÚÉ«
¶¡Òø»ÒÉ«¡ÁºÚɫȫÊÇÒø»ÒÉ«
Çë¸ù¾ÝÒÔÉÏʵÑ飬»Ø´ðÏÂÁÐÎÊÌ⣺
£¨1£©Óɼ××é·ÖÎö¿ÉÖª£ºÒø»ÒÊÇÒþÐÔÐÔ×´£¬²úÉú×Ó´ú£¨F1£©ÊýÁ¿±ÈµÄÔ­Òò×î¿ÉÄÜÊÇרɫ»ùÒò´¿ºÏÖÂËÀ£®
£¨2£©Èü××éµÄ×Ó´ú£¨F1£©×ÔÓɽ»Å䣬µÃµ½µÄºó´ú±íÏÖÐͼ°±ÈÀýÎª×ØÉ«£ºÒø»ÒÉ«=1£º1»òרɫ£ºÒø»ÒÉ«£ººÚÉ«=4£º3£º1£®
£¨3£©Ñ¡È¡±û×éµÄF1רɫ¸öÌåÓë¶¡×éµÄF1Òø»ÒÉ«¸öÌåÔÓ½»£¬ºó´úÒ»¶¨»á³öÏÖÈýÖÖ²»Í¬±íÏÖÐ͵ĸöÌ壮

·ÖÎö ¸ù¾ÝÌâÒâºÍͼ±í·ÖÎö¿ÉÖª£º¼××éÖУ¬Ç×±¾×ØÉ«¡ÁרɫµÄºó´úÓÐÒø»ÒÉ«¸öÌ壬³öÏÖÁËÐÔ×´·ÖÀ룬˵Ã÷רɫ¶ÔÒø»ÒÉ«ÏÔÐÔ£®¶¡×éÖУ¬Ç×±¾Òø»ÒÉ«¡ÁºÚÉ«µÄºó´úÈ«ÊÇÒø»ÒÉ«£¬ËµÃ÷Òø»ÒÉ«¶ÔºÚÉ«ÏÔÐÔ£®

½â´ð ½â£º£¨1£©¼××éÖУ¬Ç×´ú¾ùÎª×ØÉ«£¬×Ó´ú£¨F1£©ÖгöÏÖÒø»ÒÉ«£¬ÅжÏÒø»ÒÉ«ÊÇÒþÐÔÐÔ×´£¬×ØÉ«ÊÇÏÔÐÔÐÔ×´£»½øÒ»²½ÍƲâ¼××éÖÐÇ×´ú×éºÏΪA1A2¡ÁA1A2»òA1A2¡ÁA1A3£¬Æä×Ó´ú²»ÊÇ$\frac{3}{4}$רɫ¡¢$\frac{1}{4}$Òø»ÒÉ«£¬ÍƲâA1A1¸öÌå²»ÄÜ´æ»î£®
£¨2£©Èô¼××éÖÐÇ×´ú×éºÏΪA1A2¡ÁA1A2£¬ÔòÆä×Ó´ú£¨F1£©ÖÐרɫ¸öÌå»ùÒòÐÍΪ$\frac{2}{3}$A1A2£¬Òø»ÒÉ«¸öÌå»ùÒòÐÍΪ$\frac{1}{3}$A2A2£¬Ôò×Ó´ú£¨F1£©×ÔÓɽ»Å䣬µÃµ½µÄºó´ú»ùÒòÐÍΪ$\frac{1}{9}$A1A1¡¢$\frac{4}{9}$A1A2ºÍ$\frac{4}{9}$A1A2£¬ÒòA1A1ÖÂËÀ£¬¹ÊÆäºó´ú±íÏÖÐͼ°±ÈÀýÎª×ØÉ«£ºÒø»ÒÉ«=1£º1£»Èô¼××éÖÐÇ×´ú×éºÏΪA1A2¡ÁA1A3£¬ÔòÆä×Ó´ú£¨F1£©ÖÐרɫ¸öÌå»ùÒòÐÍΪ$\frac{1}{3}$A1A2ºÍ$\frac{1}{3}$A1A3£¬Òø»ÒÉ«¸öÌå»ùÒòÐÍΪ$\frac{1}{3}$A2A3£¬Ôò×Ó´ú£¨F1£©×ÔÓɽ»Å䣬µÃµ½µÄºó´ú»ùÒòÐÍΪ$\frac{1}{9}$A1A1¡¢$\frac{2}{9}$A1A2¡¢$\frac{2}{9}$A1A3¡¢$\frac{1}{9}$A2A2¡¢$\frac{2}{9}$A2A3¡¢$\frac{1}{9}$A3A3£¬ÒòA1A1ÖÂËÀ£¬¹ÊÆäºó´ú±íÏÖÐͼ°±ÈÀýÎª×ØÉ«£ºÒø»ÒÉ«£ººÚÉ«=£¨$\frac{2}{9}$A1A2+$\frac{2}{9}$A1A3£©£º£¨$\frac{1}{9}$A2A2+$\frac{2}{9}$A2A3£©£º$\frac{1}{9}$A3A3=4£º3£º1£®
£¨3£©Òª±£Ö¤ÔÚ×Ó´úµÃµ½ÈýÖÖëɫµÄ¸öÌ壬ÆäÔÓ½»Ë«Ç×±ØÐ뺬ÓÐA1¡¢A2ºÍA3ÈýÖÖ»ùÒò£¬¹ÊÔÓ½»Ë«Ç×Ö®Ò»±ØÐëÎª×ØÉ«£¬ÇÒÒ»¶¨ÎªÔÓºÏ×Ó£¬ÓÖ¸ù¾Ý±íÖÐÔÓ½»ÊµÑé¿ÉÍÆÖª£¬×ØÉ«¶ÔÒø»ÒɫΪÏÔÐÔ£¬Òø»ÒÉ«¶ÔºÚɫΪÏÔÐÔ£¬¹ÊѡȡµÄF1רɫ¸öÌå»ùÒòÐÍΪA1A3£¬ÇÒÖ»Óбû×éµÄF1רɫ¸öÌå·ûºÏÌõ¼þ£¬ÁíÒ»Ç×±¾Ó¦ÎªÒø»ÒÉ«ÔÓºÏ×Ó£¬»ùÒòÐÍΪA2A3£¬Ö»Óж¡×éµÄF1Òø»ÒÉ«¸öÌå·ûºÏÌõ¼þ£®Òò´Ëѡȡ±û×éF1רɫ¸öÌåÓë¶¡×éF1Òø»ÒÉ«¸öÌåÔÓ½»£¬Ò»¶¨ÄÜÔÚ×Ó´úµÃµ½ÈýÖÖëɫµÄ¸öÌ壮
¹Ê´ð°¸Îª£º
£¨1£©Òø»Ò    ×ØÉ«»ùÒò£¨A1»ùÒò£©´¿ºÏÖÂËÀ
£¨2£©×ØÉ«£ºÒø»ÒÉ«=1£º1»òרɫ£ºÒø»ÒÉ«£ººÚÉ«=4£º3£º1
£¨3£©±û    ×ØÉ«     ¶¡     Òø»ÒÉ«

µãÆÀ ±¾ÌâÖ÷Òª¿¼²é·ÖÀ붨ÂÉ£¬»ùÒò¡¢µ°°×ÖÊÓëÐÔ×´µÄ¹ØÏµ£¬¿¼²éÄÜ´ÓÌṩµÄ²ÄÁÏÖлñÈ¡Ïà¹ØµÄÉúÎïѧÐÅÏ¢£¬²¢ÄÜÔËÓÃÕâЩÐÅÏ¢£¬½áºÏËùѧ֪ʶ½â¾öÏà¹ØµÄÉúÎïѧÎÊÌ⣬ÄܶÔʵÑéÏÖÏóºÍ½á¹û½øÐзÖÎö¡¢½âÊÍ£¬²¢ÄܶÔÊÕ¼¯µ½µÄÊý¾Ý½øÐд¦ÀíµÈÄÜÁ¦£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿

Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com

¾«Ó¢¼Ò½ÌÍø