Question

3£®Ä³ÖÖÄñµÄÓðÉ«ÊÜÁ½¶ÔÏ໥¶ÀÁ¢µÄµÈλ»ùÒò¿ØÖÆ£¬ÆäÖÐA_a»ùÒòÔÚÐÔȾɫÌåµÄ·ÇͬԴÇø£¬B_b»ùÒòÔÚ³£È¾É«ÌåÉÏ£¬Î»ÖÃÈçͼ1Ëùʾ£®»ùÒòA¿ØÖÆÀ¶É«ÎïÖʵĺϳɣ¬»ùÒòB¿ØÖÆ»ÆÉ«ÎïÖʵĺϳɣ¬aabb¸öÌåÏÔ°×É«£¬ÆäÒÅ´«»úÀíÈçͼ2Ëùʾ£®Í¼3ΪÕâÖÖÄñÒ»¸ö¼ÒϵµÄÓðÉ«ÒÅ´«ÏµÆ×ͼ£¬Çë»Ø´ðÏÂÁÐÎÊÌ⣺

£¨1£©2ºÅ»ùÒòÐÍΪBbZ^AZ^a£¬4ºÅ»ùÒòÐÍΪbbZ^aW£®
£¨2£©3ºÅÔÚÓë2ºÅ½»ÅäÉú³ö7ºÅʱ£¬²úÉúµÄÂÑϸ°û»ùÒòÐÍΪbZ^a£¬²¢ÔÚͼ4µÄ·½¿òÖл­³ö3ºÅ¼õÊý·ÖÁѲúÉú´ËÂÑϸ°ûʱ£¬¼õÊýµÚÒ»´Î·ÖÁѺóÆÚµÄͼÏó£¨ÔÚȾɫÌåµÄ¶ÔӦλÖñê×¢Ïà¹Ø»ùÒò£©£®

£¨3£©5ºÅΪ´¿ºÏ×ӵĸÅÂÊΪ$\frac{1}{2}$£»Èô5ºÅÓë6ºÅ½»Å䣬ºó´ú8ºÅΪ°×É«ÓðëµÄ¸ÅÂÊΪ$\frac{1}{12}$£®

Answer 1

·ÖÎö ¸ù¾ÝÌâÒâºÍͼʾ·ÖÎö¿ÉÖª£º»ùÒòA¿ØÖÆÀ¶É«ÎïÖʵĺϳɣ¬»ùÒòB¿ØÖÆ»ÆÉ«ÎïÖʵĺϳɣ¬aabb¸öÌåÏÔ°×É«£¬¸ù¾Ýͼ1ȾɫÌåÓë»ùÒòµÄ¹ØϵÒÔ¼°Í¼2»ùÒòÓë´úлµÄ¹Øϵ¿ÉÖªÂÌÉ«µÄ»ùÒòÐÍÊÇB_Z^A_£¬»ÆÉ«µÄ»ùÒòÐÍÊÇB_Z^a_£¬À¶É«µÄ»ùÒòÐÍÊÇbbZ^A_£¬°×É«µÄ»ùÒòÐÍÊÇbbZ^aZ^a»òbbZ^aW£®

½â´ð ½â£º£¨1£©ÓÉÌâÒâ¿ÉÖªÂÌÉ«µÄ»ùÒòÐÍÊÇB_Z^A_£¬2ºÅΪÂÌÉ«ÐÛÐÔ¸öÌ壬ÔÚÄñÀàÖÐÐÛÐÔ¸öÌåµÄȾɫÌåÐÍÊÇZZ£¬ÒòÆäÓë3ºÅ»ÆÉ«´ÆÐÔ¸öÌ壨B_Z^aW£©½»Å䣬ÄܲúÏÂ7ºÅ°×É«ÓðëµÄÐÛÐÔ¸öÌ壨bbZ^aZ^a£©£¬ËµÃ÷2ºÅµÄ»ùÒòÐÍÊÇBbZ^AZ^a£¬3ºÅµÄ»ùÒòÐÍÊÇBbZ^aW£®Í¼ÖÐ4ºÅÊÇÒ»¸ö°×É«ÐÛÐÔ¸öÌ壬ËùÒÔÆä»ùÒòÐÍÊÇbbZ^aW£®
£¨2£©ÓÉÉÏÊö·ÖÎö¿ÉÖª3ºÅµÄ»ùÒòÐÍÊÇBbZ^aW£¬7ºÅ°×É«ÓðëµÄÐÛÐÔ¸öÌåµÄ»ùÒòÐÍÊÇbbZ^aZ^a£¬ËùÒÔ3ºÅÔÚÓë2ºÅ½»ÅäÉú³ö7ºÅʱ£¬²úÉúµÄÂÑϸ°û»ùÒòÐÍΪbZ^a£®Í¼ÏóÒ»¶¨Òª×¢ÒâÐγɵÄÂÑϸ°ûÒªÉÔ´óЩ£¬ÇÒÉÏÃæµÄȾɫÌåÉϵĻùÒòÊÇbÓëa£®

£¨3£©ÒÑÖª2ºÅµÄ»ùÒòÐÍÊÇBbZ^AZ^a£¬4ºÅÊÇbbZ^aW£¬ËùÒÔ1ºÅÀ¶É«ÊÇbbZ^AZ^a£¬Òò´Ë5ºÅÀ¶É«µÄ»ùÒòÐÍÓ¦¸ÃÊÇbbZ^AZ^A£¬»òÕßbbZ^AZ^a£¬ÊÇ´¿ºÏ×ӵĸÅÂÊÊÇ$\frac{1}{2}$£®ÒÑÖª2ºÅµÄ»ùÒòÐÍÊÇBbZ^AZ^a£¬3ºÅµÄ»ùÒòÐÍÊÇBbZ^aW£¬ËùÒÔËüÃǵĺó´ú6ºÅ»ÆÉ«´ÆÐԵĻùÒòÐÍÊÇ$\frac{2}{3}$BbZ^aW£¬Ôò5ºÅÓë6ºÅ½»Å䣬ºó´ú8ºÅΪ°×É«Óð루bbZ^aZ^a»òbbZ^aW£©µÄ¸ÅÂÊΪ$\frac{2}{3}$¡Á$\frac{1}{2}$¡Á$\frac{1}{4}$¡Á$\frac{1}{2}$+$\frac{2}{3}$¡Á$\frac{1}{2}$¡Á$\frac{1}{4}$¡Á$\frac{1}{2}$=$\frac{1}{12}$£®
¹Ê´ð°¸Îª£º
£¨1£©BbZ^AZ^a       bbZ^aW  
£¨2£©bZ^a

£¨3£©$\frac{1}{2}$    $\frac{1}{12}$

µãÆÀ ±¾Ì⿼°éÐÔÒÅ´«µÄÏà¹Ø֪ʶ£¬ÒâÔÚ¿¼²é¿¼ÉúÀí½âËùѧ֪ʶµÄÒªµã£¬°ÑÎÕ֪ʶ¼äµÄÄÚÔÚÁªÏµ¡¢·ÖÎöÌâÒâÒÔ¼°½â¾öÎÊÌâµÄÄÜÁ¦£®