Question

17£®»¢Æ¤ðÐðÄÓðëÑÕÉ«µÄÒÅ´«»úÀíÈçͼËùʾ£¬µ±¸öÌå»ùÒòÐÍΪaabbʱ£¬Á½ÖÖÉ«Ëض¼²»Äܺϳɣ¬±íÏÖΪ°×É«£®ÏÖÓÐÒ»Ö»´¿ºÏÂÌÉ«ðÐðĺÍÒ»Ö»´¿ºÏ°×É«ðÐðÄÔÓ½»µÃF₁£¬ÔÙÈÃF₁´ÆÐÛ¸öÌåËæ»ú½»ÅäµÃF₂£®Çë»Ø´ð£º
£¨1£©¿ØÖÆðÐðÄÓðëÑÕÉ«µÄ»ùÒòÔÚÒÅ´«ÉÏ×ñÑ­»ùÒòµÄ×ÔÓÉ×éºÏ£¨»ùÒòµÄ·ÖÀëºÍ×ÔÓÉ×éºÏ£©¶¨ÂÉ£¬ÇëÀûÓÃÉÏÊöʵÑé²ÄÁÏ£¬Éè¼ÆÒ»¸öÔÓ½»ÊµÑé¶ÔÄãµÄ¹Ûµã¼ÓÒÔÑéÖ¤£®
ʵÑé·½°¸£ºÓÃF₁ÂÌÉ«ðÐðĺͰ×É«ðÐðÄÔÓ½»£®
Ô¤²â½á¹û£ºÔÓ½»ºó´úÖÐðÐðÄÓðÉ«³öÏÖËÄÖÖ±íÏÖÐÍ£ºÂÌÉ«¡¢À¶É«¡¢»ÆÉ«¡¢°×É«£¬±ÈÀýԼΪ1£º1£º1£º1£®
£¨2£©Èç¹ûÈÃF₂±íÏÖÐÍΪÂÌÉ«µÄðÐðÄ×ÔÓɽ»Å䣬ºó´ú±íÏÖÐͼ°±ÈÀýΪÂÌÉ«£ºÀ¶É«£º»ÆÉ«£º°×É«=64£º8£º8£º1£®
£¨3£©ÈçÈÃÔӺϵĻÆÉ«ðÐðÄÓëÔӺϵÄÀ¶É«ðÐðÄÔÓ½»£¬ÇÒÒòijÖÖÒòËصÄÓ°Ï죬ºó´úÖеİ×É«ðÐðÄÈ«²¿ËÀÍö£¬ÔòÂÌÉ«ðÐðÄËùÕ¼µÄ±ÈÀýΪ$\frac{1}{3}$£®Çë½âÊͳöÏÖÒì³£±ÈÀýµÄÔ­Òò£¬ÓÃÒÅ´«Í¼½â±íʾ£®

Answer 1

·ÖÎö ÓÉÌâͼ¿ÉÖª£¬ðÐðĵÄÑÕÉ«ÊÜÁ½¶ÔµÈλ»ùÒò¿ØÖÆ£¬Á½¶ÔµÈλ»ùÒò·Ö±ðλÓÚÁ½¶ÔͬԴȾɫÌåÉÏ£¬×ñÑ­»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£»A_bb±íÏÖΪÀ¶É«£¬aaB_±íÏÖΪ»ÆÉ«£¬A_B_±íÏÖΪÂÌÉ«£¬aabb±íÏÖΪ°×É«£»ÓÉÓÚ×ÔÓÉ×éºÏ¶¨ÂÉͬʱ×ñÑ­·ÖÀ붨ÂÉ£¬Òò´Ë½â¾ö×ÔÓÉ×éºÏÎÊÌâʱ¿ÉÒÔ½«×ÔÓÉ×éºÏÎÊÌâת»¯ÎªÈô¸É·ÖÀ붨ÂÉÎÊÌâ½øÐнâ¾ö£®

½â´ð ½â£º£¨1£©ÓÉÌâͼ¿ÉÖª£¬Á½¶ÔµÈλ»ùÒò·Ö±ðλÓÚ1ºÅ¡¢3ºÅȾɫÌåÉÏ£¬Òò´ËÒÅ´«Ê±×ñÑ­»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£»ÑéÖ¤»ùÒò×ÔÓÉ×éºÏ¶¨Âɵķ½·¨ÊÇ£ºÈÃÔÓºÏ×ÓÒ»´ú£¨F₁ÂÌÉ«ðÐðÄ£©ÓëÒþÐÔ´¿ºÏ×Ó£¨°×É«ðÐðÄ£©½øÐв⽻£¬¹Û²ì²â½»ºó´úµÄ±íÏÖÐͼ°±ÈÀý¹Øϵ£¬Èç¹û×ñÑ­×ÔÓÉ×éºÏ¶¨ÂÉ£¬ÔòÓÐAaBb¡Áaabb¡úAaBb£¨ÂÌÉ«ðÐðÄ£©£ºA_bb£¨À¶É«ðÐðÄ£©£ºaaBb£¨»ÆÉ«ðÐðÄ£©£ºaabb£¨°×É«ðÐðÄ£©=1£º1£º1£º1£®
£¨2£©F₂±íÏÖÐÍΪÂÌÉ«µÄðÐðĵĻùÒòÐÍÊÇA_B_£¬½«×ÔÓÉ×éºÏÎÊÌâת»»³ÉÁ½¸ö·ÖÀ붨ÂÉÎÊÌ⣺A_¡ÁA_¡¢B_¡ÁB_£¬×ÔÓɽ»Åä¹ý³ÌÖУ¬A_¡ÁA_¡úaa=$\frac{2}{3}¡Á\frac{2}{3}¡Á\frac{1}{4}=\frac{1}{9}$£¬A_=$\frac{8}{9}$£¬Í¬Àíbb=$\frac{1}{9}$£¬B_=$\frac{8}{9}$£¬Òò´ËA_B_£¨ÂÌÉ«ðÐðÄ£©£ºA_bb£¨À¶É«ðÐðÄ£©£ºaaB_£¨»ÆÉ«ðÐðÄ£©£ºaabb£¨°×É«ðÐðÄ£©=£¨$\frac{8}{9}¡Á\frac{8}{9}$£©£º£¨$\frac{8}{9}¡Á\frac{1}{9}$£©£º£¨$\frac{1}{9}¡Á\frac{8}{9}$£©£º£¨$\frac{1}{9}¡Á\frac{1}{9}$£©=64£º8£º8£º1£®
£¨3£©ÔӺϻÆÉ«ðÐðĵĻùÒòÐÍÊÇaaBb£¬ÔÓºÏÀ¶É«ðÐðĵĻùÒòÐÍÊÇAabb£¬aaBb¡ÁAabb¡úAaBb£¨ÂÌÉ«ðÐðÄ£©£ºA_bb£¨À¶É«ðÐðÄ£©£ºaaBb£¨»ÆÉ«ðÐðÄ£©£ºaabb£¨°×É«ðÐðÄ£©=1£º1£º1£º1£¬ÆäÖÐaabbÈ«²¿ËÀÍö£¬Òò´ËÂÌÉ«ðÐðÄËùÕ¼±ÈÀýÊÇ$\frac{1}{3}$£¬ÒÅ´«Í¼½âÈçÏ£º

¹Ê´ð°¸Îª£º
 £¨1£©»ùÒòµÄ×ÔÓÉ×éºÏ£¨»ùÒòµÄ·ÖÀëºÍ×ÔÓÉ×éºÏ£©      ÓÃF₁ÂÌÉ«ðÐðĺͰ×É«ðÐðÄÔÓ½»
ÔÓ½»ºó´úÖÐðÐðÄÓðÉ«³öÏÖËÄÖÖ±íÏÖÐÍ£ºÂÌÉ«¡¢À¶É«¡¢»ÆÉ«¡¢°×É«£¬±ÈÀýԼΪ1£º1£º1£º1
£¨2£©ÂÌÉ«£ºÀ¶É«£º»ÆÉ«£º°×É«=64£º8£º8£º1
£¨3£©$\frac{1}{3}$     ÒÅ´«Í¼½âÈçÏ£º
£®

µãÆÀ ±¾ÌâµÄ֪ʶµãÊÇ»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖʺÍÓ¦Óã¬Ö¼ÔÚ¿¼²éѧÉú¸ù¾ÝÌâ¸É»ñÈ¡ÐÅÏ¢£¬Ã÷È·²»Í¬ÑÕÉ«µÄðÐðĵĻùÒò×é³É£¬Çø·Ö×ÔÓɽ»Åä¡¢×Ô½»µÄ²»Í¬·½Ê½µÄ¼ÆËã·½·¨£¬²¢Ó¦ÓûùÒòµÄ·ÖÀ붨ÂɺÍ×ÔÓÉ×éºÏ¶¨Âɽâ´ðÎÊÌ⣬ѧ»áÓ¦ÓÃÒÅ´«Í¼½â½âÊÍÒÅ´«ÏÖÏó£®