ÌâÄ¿ÄÚÈÝ
¼Ò²ÏÊǶþ±¶Ì壬Ìåϸ°ûÖÐÓÐ28¶ÔȾɫÌ壬ÆäÖÐÒ»¶ÔÊÇÐÔȾɫÌ壬ÆäÐÔ±ð¾ö¶¨·½Ê½ÎªZWÐÍ£¨º¬ÐÔȾɫÌåZZµÄ¸öÌåΪÐÛÐÔ£¬º¬ÐÔȾɫÌåZWµÄ¸öÌåΪ´ÆÐÔ£©¡£Çë»Ø´ðÒÔÏÂÎÊÌ⣺
£¨1£©¼Ò²ÏÂÑϸ°ûÖÐȾɫÌåµÄ×é³ÉÊÇ £¬ÐÛ¼Ò²ÏÔÚ¼õÊýµÚ¶þ´Î·ÖÁѺóÆÚ£¬Ã¿¸ö´Î¼¶¾«Ä¸Ï¸°ûÖк¬ÓÐ ¸öȾɫÌå×é¡£
£¨2£©ÒÑÖª¿ØÖÆ¼Ò²Ï½á»Æ¼ëµÄ»ùÒò£¨Y£©¶Ô¿ØÖƼҲϽá°×¼ëµÄ»ùÒò£¨y£©ÎªÏÔÐÔ£¬µ«µ±ÁíÒ»¶Ô·ÇͬԴȾɫÌåÉϵĻùÒòI´æÔÚʱ£¬ÎÞÂÛʲô»ùÒòÐͲϼë¾ùΪ°×É«£¬¶øi»ùÒò²»»áÒÖÖÆ»ÆÉ«»ùÒòYµÄ±í´ï¡£
¢ÙÓ°Ïì²Ï¼ëÑÕÉ«µÄ»ùÒòÔÚÒÅ´«¹ý³ÌÖÐ×ñÑ ¹æÂÉ¡£
¢Ú½«»ùÒòÐÍ·Ö±ðΪYyIi¡¢yyiiµÄÁ½¸ö¸öÌå½»Å䣬×Ó´ú³öÏÖ½á°×¼ëµÄ¸ÅÂÊÊÇ ¡£
¢Û½«Á½¸ö½á°×¼ëµÄ¼Ò²Ï½øÐн»Å䣬¼ÙÉèºó´ú×ã¹»¶àÇÒÈ«²¿´æ»î£¬¾Í³¼Æ×Ó´úÖа׼ëÊýÓë»Æ¼ëÊýµÄ±ÈֵΪ3£º1¡£ÒÑ֪ij¸öÇ×±¾µÄ»ùÒòÐÍΪYYIi£¬ÔòÁíÒ»¸öÇ×±¾µÄ»ùÒòÐÍ¿ÉÄÜÊÇ ¡£
£¨3£©ÒþÐÔÖÂËÀÍ»±ä·ÖΪÅä×ÓËÀÍöºÍÅßÌ¥ÖÂËÀ¡£¼Ò²ÏÖÐD¡¢d»ùÒòλÓÚZȾɫÌåÉÏ£¬dÊÇÒþÐÔÖÂËÀ»ùÒò¡£ÓÐÒ»Ö»´Æ¼Ò²ÏżȻÊܵ½ÁËXÉäÏß·øÉ䣬ΪÁË̽¾¿ÕâÖ»¼Ò²ÏZȾɫÌåÉÏÊÇ·ñ·¢ÉúÁËÉÏÊöÒþÐÔÖÂËÀÍ»±äÒÔ¼°ÖÂËÀÔÒò£¬Ä³ÊµÑéС×éÉè¼ÆÔÓ½»ÊµÑé²¢Ô¤²â×îÖÕʵÑé½á¹û¡£ÇëÍêÉÆÊµÑé²¢»Ø´ðÎÊÌâ¡£
¢ÙÕâÖ»´Æ¼Ò²ÏÓëÕý³£ÐÛ¼Ò²ÏÔÓ½»¡£
¢ÚÈôF1 £¬Ôò˵Ã÷dµ¼ÖÂÅä×ÓËÀÍö¡£
¢ÛÈôûÓгöÏÖ¢ÚÖеÄÏÖÏó£¬ÔÙÈÃF1¼Ò²ÏÏ໥½»Åä¡£
¢Üͳ¼ÆF2ÖдƼҲÏËùÕ¼±ÈÀý¡£
½á¹ûÔ¤²â£º
¢ÙF2ÖдƼҲÏÕ¼____£¬Ôò˵Ã÷dµ¼ÖÂÅßÌ¥ËÀÍö¡£
¢ÚF2ÖдƼҲÏÕ¼ £¬Ôò˵Ã÷zȾɫÌåÉÏûÓз¢ÉúÒþÐÔÖÂËÀÍ»±ä¡£
¢Å27+Z»ò27+W£¨2·Ö£©¡¡2
¢Æ¢Ù»ùÒò×ÔÓÉ×éºÏ¡¡¡¡¢Ú3/4¢ÛYyIi»òyyIi»òYYIi£¨2·Ö£©
¢ÇȫΪ´Æ¼Ò²Ï¡¡¡¡1/3 ¡¡ 1/2
½âÎöÊÔÌâ·ÖÎö£º¢Å´Æ¼Ò²ÏÌåϸ°ûµÄȾɫÌå×é³ÉÊÇ27¶Ô+ZW£¬¼õÊý·ÖÁѲúÉúµÄÂÑϸ°ûµÄȾɫÌå×é³ÉÊÇ27+Z»ò27+W£»¼Ò²ÏÊǶþ±¶Ì壬¼õÊýµÚÒ»´Î·ÖÁѵ¼ÖÂȾɫÌåÊýÄ¿¼õ°ë£¬ÐγɵÄ×Óϸ°ûÖк¬ÓÐÒ»¸öȾɫÌå×飬ÔÚ¼õÊýµÚ¶þ´Î·ÖÁѺóÆÚ£¬×ÅË¿µã·ÖÁÑ£¬È¾É«ÌåÊýÄ¿¼Ó±¶£¬È¾É«Ìå×éÊýÄ¿±äΪÁ½¸ö¡£
¢Æ¢ÙÓÉÓÚÁ½¶Ô»ùÒò·Ö±ðλÓÚÁ½¶ÔͬԴȾɫÌåÉÏ£¬¹ÊÒÅ´«×ñÑ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ¡£¢Ú¸ù¾Ý»ùÒòµÄÏÔÒþÐÔ£¬»Æ¼ëµÄ»ùÒò×é³ÉÊÇY_ii£¬½á°×¼ëµÄ»ùÒò×é³ÉÊÇY_I_¡¢yyI_¡¢yyii¡£»ùÒòÐÍYyIi¡ÁyyiiµÄ¸öÌå½»Å䣬×Ó´ú³öÏÖ½á°×¼ëµÄ¸ÅÂÊ1-»Æ¼ë=1-1/2Y_¡Á1/2ii=1-1/4=3/4¡£¢Û½«Á½¸ö½á°×¼ëµÄ¼Ò²Ï½øÐн»Å䣬»ùÒòÐÍΪYYIiµÄ¸öÌå¼õÊý·ÖÁѲúÉúÁ½ÖÖÀàÐ͵ÄÅä×Ó£¬Òòºó´ú°×¼ëÊýÓë»Æ¼ëÊýµÄ±ÈֵΪ3£º1ÇÒ³öÏֻƼ루Y_ii£©£¬¹ÊÍÆ²âÁíÒ»¸ö½á°×¼ëÇ×±¾µÄ»ùÒòÐÍÖп϶¨º¬i»ùÒò£¬ÇÒ¼õÊý·ÖÁÑÄܲúÉúÁ½ÖÖÀàÐ͵ÄÅä×Ó£¬ËùÒÔÅųýyyii£¬ÓÉ´ËÍÆ²âÁíÒ»Ç×±¾µÄ»ùÒòÐÍÊÇYyIi»òyyIi»òYYIi¡£
¢ÇÈôÕâÖ»´Æ¼Ò²Ï·¢ÉúÁËÒþÐÔÖÂËÀÍ»±ä£¬ÄÇô»ùÒòÐÍΪZdW£¬ÓÉÓÚdµ¼ÖÂÅä×ÓËÀÍö£¬Ëü¼õÊý·ÖÁѲúÉúµÄ´ÆÅä×ÓÊÇ£ºZd£¨ËÀÍö£©¡¢W¡£Õý³£ÐۼҲϻùÒòÐÍΪZDZD£¬²úÉúµÄÐÛÅä×ÓÊÇZD£¬´ÆÐÛÅä×Ó½áºÏF1ȫΪ´Æ¼Ò²ÏZD W£»Èç¹ûdµ¼ÖÂÅßÌ¥ËÀÍö£¬»ùÒòÐÍZdWºÍZdZdµÄÊܾ«ÂÑÖÂËÀ£¬ÄÇôÓÉ»ùÒòÍ»±äµ¼ÖµÄÇ×±¾´Æ¼Ò²Ï»ùÒòÐÍΪ£¨ZdW£©ÓëÕý³£ÐۼҲϣ¨ZDZD£©ÔÓ½»£¬F1µÄ»ùÒòÐÍΪZDZd¡¢ZDW£¬F1´ÆÐÛ¸öÌåÏ໥½»ÅäF2ÊÇ£ºZDZd¡¢ZDZD¡¢ZDW¡¢ZdW£¨dµ¼ÖÂÅßÌ¥ËÀÍö£¬´Ë¸öÌåËÀÍö£©£¬ËùÒÔF2ÖдƼҲÏÕ¼1/3£»Èç¹ûZȾɫÌåÉÏûÓз¢ÉúÒþÐÔÖÂËÀÍ»±ä£¬ÕâÖ»´Æ¼Ò²Ï£¨ZDW£©ÓëÕý³£ÐۼҲϣ¨ZDZD£©ÔÓ½»£¬F1µÄ»ùÒòÐÍΪZDZD¡¢ZDW£¬F1´ÆÐÛ¸öÌåÏ໥½»ÅäF2ÊÇ£ºZDZD¡¢ZDW£¬ÆäÖдÆÐÔ¸öÌåÕ¼1/2¡£
¿¼µã£º±¾Ì⿼²é»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂɵÄÌØÊâ·ÖÀë±È¼°Åä×Ó»òÅßÌ¥ÖÂËÀÏÖÏó£¬ÒâÔÚ¿¼²é¿¼ÉúÄÜÔËÓÃËùѧ֪ʶÓë¹Ûµã£¬Í¨¹ý±È½Ï¡¢·ÖÎöÓë×ۺϵȷ½·¨¶ÔijЩÉúÎïѧÎÊÌâ½øÐнâÊÍ¡¢ÍÆÀí£¬×ö³öºÏÀíµÄÅжϻòµÃ³öÕýÈ·µÄ½áÂÛµÄÄÜÁ¦¡£