Question

8£®ÈçͼΪijÖÖ²¡µÄÒÅ´«Í¼½â£¬Çëд³öÄã·ÖÎö¸ÃÒÅ´«²¡ÒÅ´«·½Ê½µÄ˼ά·½Ê½£º
£¨1£©½øÐзÖÎöµÄ¹Ø¼üÐÔ¸öÌåÊÇ¢ó₇µÄ±íÏÖÐÍ£¬¿ÉÅųýÏÔÐÔÒÅ´«£®
£¨2£©¸öÌå¢ó₉µÄ±íÏÖÐÍ¿ÉÒÔÅųýYȾɫÌåÉϵÄÒÅ´«£®
£¨3£©Èç¹û¢ò₈ºÅ¸öÌåÓв¡£¬Ôò¿ÉÅųýXȾɫÌåÉϵÄÒþÐÔÒÅ´«£®
£¨4£©¸ù¾ÝÉÏÊöÍÆÀí£¬ÄãËùµÃ³öµÄ½áÂÛÊǸò¡Êdz£È¾É«Ìå»òXȾɫÌåÉϵÄÒþÐÔ»ùÒò¿ØÖƵÄÒÅ´«²¡£®
£¨5£©Èç¹û¸Ã²¡ÊÇÊܳ£È¾É«ÌåÉÏÒþÐÔ»ùÒò¿ØÖÆ£¬Ôò8ºÅºÍ10ºÅͬʱÊÇÔÓºÏÌåµÄ¸ÅÂÊΪ$\frac{2}{3}$£®
£¨6£©È˵ÄÕý³£É«¾õB¶ÔºìÂÌɫ䣨b£©³ÊÏÔÐÔ£¬Îª°éÐÔÒÅ´«£»ºÖÑÛA¶ÔÀ¶ÑÛ£¨a£©³ÊÏÔÐÔ£¬Îª³£È¾É«ÌåÒÅ´«£®ÓÐÒ»¸öÀ¶ÑÛÉ«¾õÕý³£µÄÅ®×Ó£¬ÓëÒ»¸öºÖÑÛÉ«¾õÕý³£µÄÄÐ×Ó»éÅ䣬ÉúÁËÒ»¸öÀ¶ÑÛɫäµÄÄк¢£¬ÔÚÕâ¶Ô·ò¸¾ÖУº
¢ÙÄÐ×ӵĻùÒòÐÍÊÇAaX^BY
¢ÚÅ®×ӵĻùÒòÐÍÊÇaaX^BX^b
¢ÛËûÃǵÄ×Ó´úÖгöÏÖÀ¶ÑÛɫäÄк¢µÄ¸ÅÂÊÊÇ$\frac{1}{8}$£®

Answer 1

·ÖÎö ¸ù¾ÝÌâÒâºÍͼʾ·ÖÎö¿ÉÖª£º¾Ý³£È¾É«ÌåÉÏÏÔÐÔÒÅ´«²¡µÄÌص㣬7ºÅ»¼²¡£¬Ôò3¡¢4ºÅÖбØÓÐÒ»¸öΪ»¼Õߣ¬¶øÁ½Õß¾ùÕý³££¬ËùÒÔÅųý³£È¾É«ÌåÉÏÏÔÐÔÒÅ´«²¡£®YȾɫÌåÉÏÒÅ´«²¡»¼Õß¾ùΪÄÐÐÔ£¬¶ø9ºÅΪŮÐÔ£¬ËùÒÔÅųýYȾɫÌåÉÏÒÅ´«²¡£®8ºÅÅ®ÐÔÈôΪ»¼Õߣ¬4ºÅÕý³££¬ÔòÒ»¶¨Îª³£È¾É«ÌåÉÏÒþÐÔÒÅ´«²¡£¬²»¿ÉÄÜΪXȾɫÌåÉÏÒþÐÔÒÅ´«²¡£®

½â´ð ½â£º£¨1£©½øÐзÖÎöµÄ¹Ø¼üÐÔ¸öÌåÊÇ7µÄ±íÏÖÐÍ£¬¿ÉÅųýÏÔÐÔÒÅ´«£®
£¨2£©¸öÌå9ºÅΪŮÐÔ£¬Ëý±íÏÖ»¼²¡¿ÉÒÔÅųýYȾɫÌåÉϵÄÒÅ´«£®
£¨3£©Èç¹û8ºÅ¸öÌåÓв¡£¬4ºÅÕý³££¬ÔòÒ»¶¨Îª³£È¾É«ÌåÉÏÒþÐÔÒÅ´«²¡£¬²»¿ÉÄÜΪXȾɫÌåÉÏÒþÐÔÒÅ´«²¡£¬Ôò¿ÉÅųýXȾɫÌåÉϵÄÒþÐÎÒÅ´«£®
£¨4£©¸ù¾ÝÉÏÊöÍÆÀí£¬ËùµÃ³öµÄ½áÂÛÊǸò¡ÊÇÒþÐÔÒÅ´«²¡£¬µ«²»ÄÜÈ·ÈÏÊdz£È¾É«ÌåÉÏÒþÐÔÒÅ´«²¡»¹ÊÇXȾɫÌåÉÏÒþÐÔÒÅ´«²¡£®
£¨5£©Èç¹û¸Ã²¡ÊÇÊܳ£È¾É«ÌåÉϵÄÒþÐλùÒò¿ØÖÆ£¬Ôò8ºÅµÄ»ùÒòÐÍÊÇ$\frac{1}{3}$µÄAA£¬$\frac{2}{3}$µÄAa£¬10ºÅ»ùÒòÐÍÒ»¶¨ÎªAa£¬¶þÕßͬʱÊÇÔÓºÏÌåµÄ¸ÅÂÊΪ$\frac{2}{3}$£®
£¨6£©¸ù¾ÝÌâÒâ·ÖÎö¿ÉÖª£ºÈ˺ìÂÌɫäΪ°éÐÔÒÅ´«£¬ºÖÑÛºÍÀ¶ÑÛÕâ¶ÔÏà¶ÔÐÔ״Ϊ³£È¾É«ÌåÒÅ´«£¬ÓÐÒ»¸öÀ¶ÑÛÉ«¾õÕý³£µÄÅ®×Ó£¨aaX^BX^_£©£¬ÓëÒ»¸öºÖÑÛÉ«¾õÕý³£µÄÄÐ×Ó£¨A_X^BY£©»éÅ䣬ÉúÁËÒ»¸öÀ¶ÑÛɫäµÄÄк¢£¨aaX^bY£©£¬Òò´ËÕâ¶Ô·ò¸¾µÄ»ùÒòÐÍΪAaX^BY¡ÁaaX^BX^b£®ËûÃǵÄ×Ó´úÖгöÏÖÀ¶ÑÛɫäÄк¢£¨aaX^bY£©µÄ¸ÅÂÊÊÇ$\frac{1}{2}$¡Á$\frac{1}{4}$=$\frac{1}{8}$£®
¹Ê´ð°¸Îª£º
£¨1£©¢ó₇        
£¨2£©¢ó₉
£¨3£©¢ò₈
£¨4£©¸Ã²¡Êdz£È¾É«Ìå»òXȾɫÌåÉϵÄÒþÐÔ»ùÒò¿ØÖƵÄÒÅ´«²¡
£¨5£©$\frac{2}{3}$
£¨6£©¢ÙAaX^BY       ¢ÚaaX^BX^b        ¢Û$\frac{1}{8}$

µãÆÀ ±¾Ì⿼²é»ùÒò·ÖÀ붨ÂÉ¡¢°éÐÔÒÅ´«ºÍÒÅ´«²¡µÄÅбð·½Ê½Ïà¹Ø֪ʶ£¬ÒâÔÚ¿¼²éѧÉú·ÖÎöͼÐκͽâ¾öÎÊÌâµÄÄÜÁ¦£¬ÊôÓÚÖеµÌ⣮