Question

13£®ÈçͼÊǾßÓÐÁ½ÖÖÒÅ´«²¡µÄ¼Ò×åϵÆ×ͼ£¬¼ÒÊôÖÐÓеijÉÔ±»¼¼×ÖÖÒÅ´«²¡£¨ÉèÏÔÐÔ»ùÒòΪD£¬ÒþÐÔ»ùÒòΪd£©£¬ÓеijÉÔ±»¼ÒÒÖÖÒÅ´«²¡£¨ÉèÏÔÐÔ»ùÒòΪE£¬ÒþÐÔ»ùÒòΪe£©£¬ÈçϵÆ×ͼËùʾ£®ÏÖÒѲéÃ÷¢ò₆²»Ð¯´øÖ²¡»ùÒò£®ÎÊ£º

£¨1£©¼×ÖÖÒÅ´«²¡µÄÖ²¡»ùÒòλÓÚXȾɫÌåÉÏ£¬ÊôÓÚÒþ£¨ÏÔÐÔ»òÒþÐÔ£©ÒÅ´«£¬ÒÒÖÖÒÅ´«²¡µÄÖ²¡»ùÒòλÓÚ³£È¾É«ÌåÉÏ£¬ÊôÓÚÒþ£¨ÏÔÐÔ»òÒþÐÔ£©ÒÅ´«£®£¨ÓÑÇéÌáʾ£º×¢ÒâÌâÄ¿ÖеÄбÌå×Ö£©
£¨2£©Ð´³öÏÂÁÐÁ½¸öÌåµÄ»ùÒòÐÍ£º¢ò₅EeX^DX^d£¬¢ó₈eeX^DX^d»òeeX^DX^D£®
£¨3£©Èô¢ó₈ºÍÒ»¸öÕý³£ÈË£¨²»Ð¯´ø¼×¡¢ÒÒÖ²¡»ùÒò£©»éÅ䣬×ÓÅ®ÖÐÖ»»¼¼×ÖÖÒÅ´«²¡µÄ¸ÅÂÊΪ$\frac{1}{8}$£®

Answer 1

·ÖÎö ·ÖÎöÒÅ´«ÏµÆ×ͼ£º5ºÅ¡¢6ºÅ±íÏÖÕý³££¬³öÉú»¼¼×²¡µÄ¶ù×Ó9ºÅ£¬¸Ã²¡ÎªÒþÐÔÒÅ´«²¡£¬ÓÖII₆²»Ð¯´øÖ²¡»ùÒò£¬¹Ê¼×²¡ÊÇ°éXȾɫÌåÒþÐÔÒÅ´«²¡£»3ºÅºÍ4ºÅ±íÏÖÕý³££¬Éú³ö»¼ÒÒ²¡µÄÅ®¶ù8ºÅ£¬¹ÊÒÒ²¡Êdz£È¾É«ÌåÒþÐÔÒÅ´«²¡£®

½â´ð ½â£º£¨1£©ÓÉÒÔÉÏ·ÖÎö¿ÉÖª£¬¼×²¡ÊÇ°éXȾɫÌåÒþÐÔÒÅ´«²¡£¬ÒÒ²¡Êdz£È¾É«ÌåÒþÐÔÒÅ´«²¡£¬
£¨2£©9ºÅ»¼¼×²¡£¬2ºÅ»¼ÒÒ²¡£¬Ôò¢ò₅µÄ»ùÒòÐÍΪEeX^DX^d£»8ºÅ»¼ÒÒ²¡£¬¹ØÓÚÒÒ²¡µÄ»ùÒòÐÍΪaa£¬8ºÅ²»»¼¼×²¡£¬µ«Óл¼¼×²¡µÄÐֵܣ¬¹Ê3ºÅºÍ4ºÅ¹ØÓڼײ¡µÄ»ùÒòÐÍ·Ö±ðΪX^BY¡¢X^BX^b£¬¹Ê8ºÅ¹ØÓÚÒÒ²¡µÄ»ùÒòÐÍΪX^BX^b»òX^BX^B£¬×ÛºÏÁ½¶Ô»ùÒò£¬8ºÅ»ùÒòÐͼ°¸ÅÂÊΪeeX^DX^d$\frac{1}{2}$¡¢eeX^DX^D$\frac{1}{2}$£®
£¨3£©8ºÅ»ùÒòÐͼ°¸ÅÂÊΪeeX^DX^d$\frac{1}{2}$¡¢eeX^DX^D$\frac{1}{2}$£¬ÆäÓëÒ»¸öÕý³£ÈË£¨²»Ð¯´ø¼×¡¢ÒÒÖ²¡»ùÒò£¬»ùÒòÐÍΪEEX^DY£©»éÅ䣬ºó´ú²»¿ÉÄÜ»¼ÒÒ²¡£¬»¼¼×²¡µÄ¸ÅÂÊΪ$\frac{1}{2}¡Á\frac{1}{4}=\frac{1}{8}$£®
¹Ê´ð°¸Îª£º
£¨1£©X  Òþ  ³£  Òþ    
£¨2£©EeX^DX^d  eeX^DX^d»ò eeX^DX^D
£¨3£©$\frac{1}{8}$

µãÆÀ ±¾Ìâ½áºÏϵÆ×ͼ£¬¿¼²éÈËÀàÒÅ´«²¡¼°°éÐÔÒÅ´«£¬ÒªÇó¿¼Éúʶ¼ÇÈËÀàÒÅ´«²¡µÄÌص㣬ÄÜÀûÓÿھ÷£¬¸ù¾ÝϵÆ×ͼÅжÏÒÅ´«²¡µÄÒÅ´«·½Ê½£¬½ø¶øÅжÏÏàÓ¦¸öÌåµÄ»ùÒòÐÍ£»Í¬Ê±ÄÜÀûÓÃÖð¶Ô·ÖÎö·¨½øÐмòµ¥µÄ¸ÅÂʼÆË㣮