ÌâÄ¿ÄÚÈÝ
¡¾ÌâÄ¿¡¿ÒÑÖªÍ㶹£¨2n£½14£©µÄ»¨É«ÊÜ·ÇͬԴȾɫÌåÉϵÄÁ½¶ÔµÈλ»ùÒòµÄ¿ØÖÆ¡£ºì»¨£¨A£©¶Ô°×»¨£¨a£©ÎªÍêÈ«ÏÔÐÔ¡£B»ùÒòΪÐÞÊλùÒò£¬Äܵ»¯»¨µÄÑÕÉ«£¬BBÓëBbµÄµ»¯³Ì¶È²»Í¬£¬Ç°Õßµ»¯Îª°×É«£¬ºóÕßµ»¯Îª·ÛÉ«£¬¶ÔÓ¦µÄ»ùÒò×é³ÉÈçϱíËùʾ¡£Çë»Ø´ðÎÊÌ⣺
»¨É« | ºìÉ« | ·ÛÉ« | °×É« |
»ùÒò×é³É | A_bb | A_Bb | aa__¡¢__BB |
£¨1£©¿ØÖÆÍ㶹»¨É«ÒÅ´«µÄÁ½¶Ô»ùÒò×ñÑ»ùÒòµÄ____________¹æÂÉ£¬°×»¨Í㶹µÄ»ùÒòÐÍÓÐ________ÖÖ¡£
£¨2£©ÒÑÖªÁ½Öê´¿ºÏµÄ°×»¨Í㶹ÔÓ½»µÃµ½µÄF1¾ù±íÏÖΪ·ÛÉ«£¬F1×Ô½»²úÉúF2¡£
¢Ù¸ÃÔÓ½»ÊµÑéµÄÇ×±¾»ùÒòÐÍΪ________£»F2Öпªºì»¨¸öÌåµÄ±ÈÀýÕ¼________¡£
¢Ú½«F1²â½»£¬ºó´ú±íÏÖÐͼ°¶ÔÓ¦±ÈÀýΪ__________________¡£
¢Û½«F2Öд¿ºÏ¸öÌåÔÓ½»£¬F3¿ª°×»¨µÄ»ùÒòÐÍ×éºÏÓÐ________ÖÖ£¨²»¿¼ÂÇÕý·´½»£©¡£
¢ÜF2µÄ¿ª°×»¨¸öÌåÖд¿ºÏÌåµÄ±ÈÀýΪ________¡£ÈÃF2Öпª·Û»¨µÄ¸öÌåËæ»ú½»Å䣬×Ó´ú¿ª°×»¨¸öÌåµÄ±ÈÀýΪ________¡£
¡¾´ð°¸¡¿×ÔÓÉ×éºÏ 5 AABB¡Áaabb 3/16 ºìÉ«¡Ã·ÛÉ«¡Ã°×É«£½1¡Ã1¡Ã2 2 3/7 1/3
¡¾½âÎö¡¿
¸ù¾ÝÌâÒâ¿ÉÖª£¬Í㶹µÄ»¨É«ÊÜ·ÇͬԴȾɫÌåÉϵÄÁ½¶ÔµÈλ»ùÒòµÄ¿ØÖÆ£¬Òò´Ë·ûºÏ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ¡£¸ù¾Ý±íÖÐÐÅÏ¢¿ÉÖª£¬ºìÉ«µÄ»ùÒòÐÍΪA_bb¡¢·ÛÉ«µÄ»ùÒòÐÍΪA_Bb¡¢°×É«µÄ»ùÒòÐÍΪaa__¡¢__BB£¬°üÀ¨aaBB¡¢aaBb¡¢aabb¡¢AABB¡¢AaBB¹²5ÖÖ»ùÒòÐÍ¡£
£¨1£©¸ù¾ÝÌâÒâ¿ÉÖª£¬¿ØÖÆÍ㶹»¨É«ÒÅ´«µÄÁ½¶Ô»ùÒòλÓÚ·ÇͬԴȾɫÌåÉÏ£¬Òò´Ë×ñÑ»ùÒò×ÔÓÉ×éºÏ¶¨ÂÉ£¬¸ù¾ÝÒÔÉÏ·ÖÎö¿ÉÖª£¬°×»¨Í㶹µÄ»ùÒòÐÍÓÐaaBB¡¢aaBb¡¢aabb¡¢AABB¡¢AaBB¹²5ÖÖ¡£
£¨2£©¢Ù¸ù¾ÝÒÔÉÏ·ÖÎö¿ÉÖª£¬°×»¨Í㶹µÄ»ùÒòÐÍÓÐaaBB¡¢aaBb¡¢aabb¡¢AABB¡¢AaBB¹²5ÖÖ£¬·ÛÉ«µÄ»ùÒòÐÍΪA_Bb¡£½áºÏÌâÒ⣬Á½Öê´¿ºÏµÄ°×»¨Í㶹ÔÓ½»µÃµ½µÄF1¾ù±íÏÖΪ·ÛÉ«£¬ÔòÁ½Öê´¿ºÏµÄ°×»¨Í㶹»ùÒòÐÍ·Ö±ðΪaabb¡¢AABB£¬ÄÇôF1µÄ»ùÒòÐÍΪAaBb£¬F1×Ô½»ºó´úΪ9A_B_¡¢3A_bb¡¢3aaB_¡¢1aabb£¬ÆäÖпªºì»¨¸öÌåµÄ»ùÒòÐÍΪA_bb£¬ËùÕ¼±ÈÀýΪ3/16¡£
¢Ú¸ù¾ÝÌâÒ⣬½«F1²â½»£¬¼´AaBb¡Áaabb£¬ºó´ú»ùÒòÐͼ°±íÏÖÐÍΪ1AaBb·ÛÉ«¡¢1AabbºìÉ«¡¢1aaBb°×É«¡¢1aabb°×É«£¬¹Ê±íÏÖÐͼ°¶ÔÓ¦±ÈÀýΪºìÉ«¡Ã·ÛÉ«¡Ã°×É«£½1¡Ã1¡Ã2¡£
¢Û¸ù¾ÝÒÔÉÏ·ÖÎö¿ÉÖª£¬F1×Ô½»ºó´úF2Ϊ9A_B_¡¢3A_bb¡¢3aaB_¡¢1aabb£¬½«F2Öд¿ºÏ¸öÌåÔÓ½»£¬Ê¹F3¿ª°×»¨£¨aa__¡¢__BB£©£¬ÔòF2Öд¿ºÏ¸öÌåµÄ»ùÒòÐÍÖбØÐ붼ÓÐa»òÕ߶¼ÓÐB£¬Òò´ËF3¿ª°×»¨µÄ»ùÒòÐÍ×éºÏÓÐaaBB¡Áaabb¡¢AABB¡ÁaaBB2ÖÖ¡£
¢Ü¸ù¾ÝÒÔÉÏ·ÖÎö¿ÉÖª£¬F1×Ô½»ºó´úF2Ϊ9A_B_¡¢3A_bb¡¢3aaB_¡¢1aabb£¬ÔòF2µÄ9A_B_ÖÐÓÐ6A_Bb¿ª·Û»¨£¬ÓÐ3A_BB¿ª°×»¨£¬3aaB_±íÏÖΪ°×»¨£¬1aabb±íÏÖ°×»¨£¬¹ÊF2µÄ¿ª°×»¨¸öÌåÖд¿ºÏÌåµÄ±ÈÀýΪ3/7¡£ÈÃF2Öпª·Û»¨µÄ¸öÌåËæ»ú½»Å䣬¼´»ùÒòÐÍΪ6A_BbµÄ¸öÌåËæ»ú½»Å䣬ÆäÖÐA_¼´1/3AA¡¢2/3Aa£¬²úÉúµÄÅä×ÓΪ2/3A¡¢1/3a£¬Bb²úÉúÅä×ÓΪ1/2B¡¢1/2b£¬Ëæ»ú½»Åäºó´ú³öÏÖ°×»¨aa__¡¢__BB£¬Ôò1/3a¡Á1/3a¡Á1+1/2B¡Á1/2B¡Á£¨1-1/3a¡Á1/3a£©=1/3¡£