ÌâÄ¿ÄÚÈÝ
¡¾ÌâÄ¿¡¿Ä³¶þ±¶ÌåÄñÀàµÄÐÛÄñµÄÐÔȾɫÌå×é³ÉÊÇZZ£¬´ÆÄñµÄÐÔȾɫÌå×é³ÉÊÇZW¡£¸ÃÄñµÄ³¤ÍȺͶÌÍÈÓɵÈλ»ùÒòA/a¿ØÖÆ£¬ÓðëµÄ»ÒÉ«ºÍ°×É«ÓɵÈλ»ùÒòB/b¿ØÖÆ¡£Ä³ÉúÎï¿ÆÑÐС×é½øÐÐÈçÏÂÁ½×éʵÑ飺
ʵÑéÒ»£º³¤ÍÈ»ÒÓ𣨡⣩¡Á³¤ÍÈ»ÒÓ𣨡ᣩ¡ú³¤ÍÈ»ÒÓð´ÆÄñ3/16¡¢³¤ÍÈ°×Óð´ÆÄñ3/16¡¢¶ÌÍÈ»ÒÓð´ÆÄñ1/16¡¢¶ÌÍÈ°×Óð´ÆÄñ1/16¡¢³¤ÍÈ»ÒÓðÐÛÄñ3/8¡¢¶ÌÍÈ»ÒÓðÐÛÄñ1/8¡£
ʵÑé¶þ£º³¤ÍÈ°×Ó𣨡⣩¡Á¶ÌÍÈ»ÒÓ𣨡ᣩ¡ú³¤ÍÈ»ÒÓð´ÆÄñ1/4¡¢³¤ÍÈ°×Óð´ÆÄñ1/4¡¢¶ÌÍÈ»ÒÓð´ÆÄñ1/4¡¢¶ÌÍÈ°×Óð´ÆÄñ1/4¡£
Çë»Ø´ðÏÂÁÐÎÊÌ⣺
£¨1£©¸ù¾ÝÔÓ½»ÊµÑéÍƶϣ¬A/aºÍB/bÁ½¶ÔµÈλ»ùÒòÖУ¬Î»ÓÚZȾɫÌåÉϵÄÊÇ_____________£¬¿ØÖÆÕâÁ½¶ÔÐÔ×´µÄ»ùÒòµÄÒÅ´«·ûºÏ_____________¶¨ÂÉ¡£
£¨2£©ÊµÑéÒ»µÄÇ×±¾ÖдÆÐÔ¸öÌå»ùÒòÐÍΪ_____________£¬²úÉúµÄ×Ó´úÖÐbµÄ»ùÒòƵÂÊΪ_____________¡£Ñ¡³ö×Ó´úÖеij¤ÍÈ»ÒÓð¸öÌåËæ»ú½»Å䣬ºó´úÖг¤ÍÈ»ÒÓðµÄ¸ÅÂÊΪ_____________¡£
£¨3£©ÊµÑé¶þÖÐûÓÐÐÛÐÔ¸öÌå¿ÉÄÜÊÇÒòΪ_____________²»ÄܲÎÓëÊܾ«×÷Óá£
¡¾´ð°¸¡¿B¡¢b(µÈλ)»ùÒò »ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ AaZBW 1/3 7/9 AZb¡¢aZbµÄÂÑϸ°û
¡¾½âÎö¡¿
¸ù¾ÝʵÑéÒ»·ÖÎö¿ÉÖª£¬³¤ÍÈ»ÒÓ𣨡⣩¡Á³¤ÍÈ»ÒÓ𣨡ᣩ£¬ºó´úÖдÆÐÔÖмÈÓлÒÓðÓÖÓа×Ó𣬵«ÊÇÐÛÐÔÖÐÖ»ÓлÒÓð£¬ËµÃ÷ÊÇ°éÐÔÒÅ´«£¬¿ØÖƵÄÏà¹Ø»ùÒòÔÚZȾɫÌåÉÏ£»³¤ÍȺͶÌÍÈÔÚ´ÆÐÛÐÔ¶¼ÓУ¬²¢¶¼Êdz¤ÍȡöÌÍÈ=3¡Ã1£¬ËµÃ÷Êdz£È¾É«ÌåÒÅ´«£¬Ïà¹Ø»ùÒòλÓÚ³£È¾É«ÌåÉÏ£»¸ù¾Ý¡°ÎÞÖÐÉúÓÐΪÒþÐÔ¡±£¬¿ÉÅжϳö¶ÌÍÈΪÒþÐÔ£¬³¤ÍÈΪÏÔÐÔ£»»ÒɫΪÏÔÐÔ£¬°×ɫΪÒþÐÔ£¬ÔòÇ×±¾ÖдÆÐÔ¸öÌå»ùÒòÐÍΪAaZBW£¬ÐÛÐÔÇ×±¾µÄ»ùÒòÐÍΪAaZBZb£»
¸ù¾ÝʵÑé¶þ·ÖÎö¿ÉÖª£¬³¤ÍÈ°×Ó𣨡⣩¡Á¶ÌÍÈ»ÒÓ𣨡ᣩ£¬ºó´ú´ÆÐÔµÄÐÔ×´·ÖÀë±ÈΪ1¡Ã1¡Ã1¡Ã1£¬ËµÃ÷Ç×±¾µÄ»ùÒòÐÍΪAaZbW¡¢aaZBZb£¬¶øºó´úûÓÐÐÛÐÔ¸öÌ壬¿ÉÄÜÊÇÒòΪĸ±¾µÄº¬ÓÐZb»ùÒòµÄÂÑϸ°û²»ÄܲÎÓëÊܾ«×÷Óá£
£¨1£©¸ù¾ÝÒÔÉÏ·ÖÎöÒÑÖª£¬B¡¢b£¨µÈ룩»ùÒòλÓÚZȾɫÌåÉÏ£¬A¡¢a»ùÒòλÓÚ³£È¾É«ÌåÉÏ£¬ÔòÁ½¶ÔµÈλ»ùÒò×ñÑ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ¡£
£¨2£©¸ù¾ÝÒÔÉÏ·ÖÎöÒÑÖª£¬ÊµÑéÒ»µÄ´ÆÐÔÇ×±¾µÄ»ùÒòÐÍΪAaZBW£¬ÐÛÐÔÇ×±¾µÄ»ùÒòÐÍΪAaZBZb£»ZbµÄ»ùÒòƵÂÊ=Zb/£¨ZB+Zb£©=1/3£»×ÓÒ»´úÖдÆÐÛ¹ØÓÚ³¤ÍȵĻùÒòÐͶ¼ÊÇ1/3AAºÍ2/3Aa£¬¶ø¹ØÓÚ»ÒÓðµÄ»ùÒòÐÍ´ÆÐÔÊÇ1/2ZBW£¬ÐÛÐÔÊÇ1/2ZBZBºÍ1/2ZBZb£¬ËùÒÔËæ»ú½»Åä×Ó¶þ´úÖжÌÍȵıÈÀýΪ2/3¡Á2/3¡Á1/4=1/9£¬³¤ÍȵıÈÀýΪ1-1/9=8/9£¬¶ø»ÒÓðµÄ±ÈÀýΪ1/2+1/2¡Á3/4=7/8£¬Òò´Ëºó´úÖг¤ÍÈ»ÒÓðµÄ¸ÅÂÊΪ8/9¡Á7/8=7/9¡£
£¨3£©¸ù¾ÝÒÔÉÏ·ÖÎöÒÑÖª£¬ÊµÑé¶þºó´úûÓÐÐÛÐÔºó´úµÄÔÒò¿ÉÄÜÊÇÒòΪĸ±¾µÄº¬ÓÐZb»ùÒòµÄÂÑϸ°û£¨AZb¡¢aZb£©²»ÄܲÎÓëÊܾ«×÷Óá£
¡¾ÌâÄ¿¡¿¹ûÓ¬µÄ³áÐÍÓг¤³á¡¢²Ð³á¡¢Ð¡³áÈýÖÖ£¬ÊÜA/a¡¢B/bÁ½¶Ô»ùÒò¿ØÖÆ¡£Í¬Ê±º¬ÓÐAºÍB»ùÒòµÄ±íÏÖΪ³¤³á£¬²»º¬A»ùÒòµÄ±íÏÖΪ²Ð³á£¬ÆäÓà»ùÒòÐͱíÏÖΪС³á¡£¹ûÓ¬µÄÖ±¸ÕëÓë¾í¸ÕëÊÜE/e»ùÒò¿ØÖÆ¡£ÏÖÓвгᡢС³á¡¢¾í¸Õë¡¢Ö±¸ÕëËÄÖÖ¹ûÓ¬´¿ºÏƷϵ£¬½øÐÐÔÓ½»ÊµÑ飬½á¹ûÈçÏÂ±í¡£
ÔÓ½»×éºÏ | P | F1 | F2 |
1 | ²Ð³á¡â¡ÁС³á¡á | ³¤³á£¨¡â¡¢¡á£© | ³¤³á£¨¡â¡¢¡á£©£ºÐ¡³á£¨¡á£©²Ð³á£¨¡â¡¢¡á£©=9£º3£º4 |
2 | ¾í¸Õë¡â¡ÁÖ±¸Õë¡á | ¾í¸Õ루¡á£©¡¢ Ö±¸Õ루¡â£© | ¾í¸Õë¡â£º¾í¸Õë¡á£ºÖ±¸Õë¡â£ºÖ±¸Õë¡á=1£º1£º1£º1 |
Çë»Ø´ð£º
£¨1£©A/a¡¢B/bÁ½¶Ô»ùÒòÖÐ___________»ùÒòλÓÚXȾɫÌåÉÏ¡£ÔÓ½»×éºÏ1ÖÐF2С³áµÄ»ùÒòÐÍÊÇ________£¬F2Öд¿ºÏ´Æ¹ûÓ¬µÄ±ÈÀýΪ___________¡£
£¨2£©´ÓÔÓ½»×éºÏ2µÄʵÑé½á¹û¿ÉÍƶϿØÖƸÕëµÄ»ùÒòλÓÚ___________£¨Ìî¡°³£¡±»ò¡°X¡±£©È¾É«ÌåÉÏ£¬ÀíÓÉÊÇ______________________¡£
£¨3£©´ÓÔÓ½»×éºÏ2µÄF2ÖÐÑ¡Ôñ___________½øÐÐÔÓ½»£¬¹Û²ì×Ó´úµÄ±íÏÖÐͼ°±ÈÀý¡£Èô___________£¬Ôò¿ÉÑéÖ¤µÚ£¨2£©Ð¡ÌâµÄ½áÂÛ¡£