Question

13£®Ð¡ÊóµÄƤëÑÕÉ«Óɳ£È¾É«ÌåÉϵÄÁ½¶Ô»ùÒò¿ØÖÆ£¬ÆäÖÐA/a¿ØÖÆ»ÒÉ«ÎïÖʺϳɣ¬B/b¿ØÖƺÚÉ«ÎïÖʺϳɣ®Á½¶Ô»ùÒò¿ØÖÆÓÐÉ«ÎïÖʺϳɵĹØϵÈçͼ£º
°×É«Ç°ÌåÎïÖÊ$\stackrel{»ùÒò¢ñ}{¡ú}$ÓÐÉ«ÎïÖÊ1 $\stackrel{»ùÒò¢ò}{¡ú}$ÓÐÉ«ÎïÖÊ2
Ñ¡È¡ÈýÖ»²»Í¬ÑÕÉ«µÄ´¿ºÏСÊ󣨼×-»ÒÊó£¬ÒÒ-°×Ê󣬱û-ºÚÊ󣩽øÐÐÔÓ½»£¬½á¹ûÈçÏ£º

	Ç×±¾×éºÏ	F1	F2
ʵÑéÒ»	¼×¡ÁÒÒ	ȫΪ»ÒÊó	9 »ÒÊó£º3 ºÚÊó£º4 °×Êó
ʵÑé¶þ	ÒÒ¡Á±û	ȫΪºÚÊó	3 ºÚÊó£º1 °×Êó

£¨1£©Á½¶Ô»ùÒò£¨A/aºÍ B/b£©µÄÒÅ´«×ñÑ­×ÔÓÉ×éºÏ¶¨ÂÉ£®
£¨2£©Ð¡Êó¼×µÄ»ùÒòÐÍΪAABB£¬ÒҵĻùÒòÐÍΪaabb£¬±ûµÄ»ùÒòÐÍΪaaBB£®
£¨3£©ÊµÑéÒ»µÄF₂´úÖУ¬°×Êó¹²ÓÐ3ÖÖ»ùÒòÐÍ£¬»ÒÊóÖÐÔÓºÏ×ӵıÈÀýΪ$\frac{8}{9}$£®
£¨4£©Í¼ÖÐÓÐÉ«ÎïÖÊ1´ú±íºÚÉ«ÎïÖÊ£¬ÊµÑé¶þµÄF₂´úÖкÚÊóµÄ»ùÒòÐÍΪaaB_»ò£¨aaBB¡¢aaBb£©£®

Answer 1

·ÖÎö ·ÖÎöʵÑéÒ»£º¼×£¨»ÒÊ󣩡ÁÒÒ£¨°×Ê󣩡úF₁ȫΪ»ÒÊó¡úF₂ÖлÒÊ󣺺ÚÊ󣺰×Êó=9£º3£º4£¬ÊÇ¡°9£º3£º3£º1¡±µÄ±äʽ£¬ËµÃ÷ÕâÁ½¶Ô»ùÒòµÄÒÅ´«×ñÑ­»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£¬ÇÒAºÍBͬʱ´æÔÚʱ±íÏÖΪ»ÒÉ«£¬Ö»ÓÐBʱ±íÏÖΪºÚÉ«£¬ÆäÓà¾ù±íÏÖΪ°×É«£¬ÔòF₁µÄ»ùÒòÐÍΪAaBb£¬¼×µÄ»ùÒòÐÍΪAABB£¬ÒҵĻùÒòÐÍΪaabb£®
·ÖÎöʵÑé¶þ£ºÒÒ£¨aabb£©¡Á±û£¨aaB_£©¡úF₁ȫΪºÚÊó£¬ËµÃ÷±ûµÄ»ùÒòÐÍΪaaBB£®

½â´ð ½â£º£¨1£©ÊµÑéÒ»µÄF₂ÖлÒÊ󣺺ÚÊ󣺰×Êó=9£º3£º4£¬ÊÇ¡°9£º3£º3£º1¡±µÄ±äʽ£¬ËµÃ÷ÕâÁ½¶Ô»ùÒòµÄÒÅ´«×ñÑ­»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£¬¼´ÕâÁ½¶ÔµÈλ»ùÒòλÓÚÁ½¶ÔͬԴȾɫÌåÉÏ£®
£¨2£©ÓÉ·ÖÎö¿ÉÖª£¬Ð¡Êó¼×µÄ»ùÒòÐÍΪAABB£¬ÒҵĻùÒòÐÍΪaabb£¬±ûµÄ»ùÒòÐÍΪaaBB£®
£¨3£©ÊµÑéÒ»ÖÐF₁µÄ»ùÒòÐÍΪAaBb£¬F₂´úÇé¿öΪ»ÒÊó£¨1AABB¡¢2AABb¡¢2AaBB¡¢4AaBb£©£ººÚÊó£¨1aaBB¡¢2aaBb£©£º°×Êó£¨1AAbb¡¢2Aabb¡¢1aabb£©=9£º3£º4£¬ÆäÖа×Êó¹²ÓÐ3ÖÖ»ùÒòÐÍ£¬»ÒÊóÖÐÔÓºÏ×ӵıÈÀýΪ$\frac{8}{9}$£®
£¨4£©AºÍBͬʱ´æÔÚʱ±íÏÖΪ»ÒÉ«£¬Ö»ÓÐBʱ±íÏÖΪºÚÉ«£¬Òò´ËͼÖÐÓÐÉ«ÎïÖÊ1´ú±íºÚÉ«ÎïÖÊ£¬ÓÐÉ«ÎïÖÊ2´ú±í»ÒÉ«ÎïÖÊ£»ÊµÑé¶þÖÐÇ×±¾µÄ»ùÒòÐÍΪaabb¡ÁaaBB£¬ÔòF₁µÄ»ùÒòÐÍΪaaBb£¬ÔòF₂´úÖкÚÊóµÄ»ùÒòÐÍΪaaBBºÍaaBb£®
¹Ê´ð°¸Îª£º
£¨1£©×ÔÓÉ×éºÏ
£¨2£©AABB    aabb     aaBB
£¨3£©3      $\frac{8}{9}$
£¨4£©ºÚ      aaB_»ò£¨aaBB¡¢aaBb£©

µãÆÀ ±¾Ìâ½áºÏͼ±í£¬¿¼²é»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖʼ°Ó¦Óã¬ÒªÇó¿¼ÉúÕÆÎÕ»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖÊ£¬ÄÜÒÔʵÑéÒ»ÖС°9£º3£º4¡±ÎªÍ»ÆÆ¿Ú£¬×¼È·ÅжϻùÒòÐÍÓë±íÏÖÐÍÖ®¼äµÄ¶ÔÓ¦¹Øϵ¼°¼×¡¢ÒÒ¡¢±ûµÄ»ùÒòÐÍ£¬ÔÙ½áºÏËùѧµÄ֪ʶ׼ȷ´ðÌ⣬ÊôÓÚ¿¼¸ÙÀí½âºÍÓ¦Óòã´ÎµÄ¿¼²é£®