Question

17£®¹ûÓ¬µÄ»ÒÉíÓëºÚÉíÊÇÒ»¶ÔÏà¶ÔÐÔ×´£¨Ïà¹Ø»ùÒòÓÃB¡¢b±íʾ£©¡¢¸ÕëÓë½ØëÊÇÁíÒ»¶ÔÏà¶ÔÐÔ×´£¨Ïà¹Ø»ùÒòÓÃD¡¢d±íʾ£©£®ÎªÌ½¾¿Á½¶ÓÏà¶ÔÐÔ×´µÄÒÅ´«¹æÂÉ£¬½øÐÐÈçÏÂʵÑ飮Ìáʾ£ºÈçͼΪ¹ûÓ¬X¡¢YȾɫÌåͬԴÇø¶Î£¨¢ñÇø¶Î£©ºÍ·ÇͬԴÇø¶Î£¨¢ò¡¢¢óÇø¶Î£©£®¢ñ¡¢¢ò¡¢¢óÇø¶ÎÉÏ»ùÒòËù¿ØÖÆÐÔ×´µÄÒÅ´«¾ùΪ°éÐÔÒÅ´«£®

	Ç×±¾×éºÏ	F1±íÏÖÐÍ	F2±íÏÖÐͼ°±ÈÀý
ʵÑéÒ»	»ÒÉí¸Õ루¡â£©¡ÁºÚÉí½Ø루¡á£©	»ÒÉí¸Õë	»ÒÉí¸Õë ¡â	»ÒÉí¸Õë ¡á	»ÒÉí½Øë ¡á	ºÚÉí¸Õë ¡â	ºÚÉí¸Õë ¡á	ºÚÉí½Øë ¡á
			¡¡¡¡ 6	£º3	£º3	£º2	£º1	£º1
ʵÑé¶þ	»ÒÉí¸Õ루¡á£©¡ÁºÚÉí½Ø루¡â£©	»ÒÉí¸Õë	»ÒÉí¸Õë ¡á	»ÒÉí¸Õë ¡â	»ÒÉí½Øë ¡â	ºÚÉí¸Õë ¡á	ºÚÉí¸Õë ¡â	ºÚÉí½Øë ¡â
			¡¡ 6£º	3£º	3£º	2£º	1£º	1

£¨1£©¸ù¾ÝʵÑéÒ»ºÍʵÑé¶þ£¬¿ÉÒÔÍƶϳö¹ûÓ¬»ÒÉ«ÐÔ×´µÄÒÅ´«·½Ê½Îª³£È¾É«ÌåÏÔÐÔÒÅ´«£»¹ûÓ¬ÕâÁ½¶ÔÏà¶ÔÐÔ×´µÄÒÅ´«×ñÑ­»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£®
£¨2£©ÊµÑé¶þÖÐF1»ÒÉ«¸ÕëÐÛ¹ûÓ¬µÄ»ùÒòÐÍΪBbX^dY^D£¬F2µÄ»ÒÉ«¸Õë¹ûÓ¬ÖУ¬´¿ºÏ×ÓÓëÔÓºÏ×ӵıÈÀýΪ1£º8£®
£¨3£©ÒÑÖª¹ûÓ¬µÄXȾɫÌåÉÏÓÐÒ»¶Ô»ùÒòH¡¢h£¬·Ö±ð¿ØÖƵÄÐÔ×´ÊÇÍȲ¿ÓаßÎƺÍÍȲ¿ÎÞ°ßÎÆ£¬ÏÖÓд¿ÖÖ¹ûÓ¬Èô¸É£¬Èôͨ¹ýÒ»´ÎÔÓ½»ÊµÑéÀ´È·¶¨H¡¢h»ùÒòÔÚXȾɫÌåÉϵÄλÖÃÊÇ¢ñÇø¶Î»¹ÊÇ¢ò¶Î£¬Ôò¿ÉÑ¡Ôñ±íÏÖÐÍΪÍȲ¿ÎÞ°ßÎƵĴÆÐÔÇ×±¾Óë±íÏÖÐÍΪÍȲ¿ÓаßÎÆÐÛÐÔÇ×±¾½øÐÐÔÓ½»£®

Answer 1

·ÖÎö ·ÖÎöʵÑéµÄÔÓ½»×éºÏ£º»ÒÉí¸Õ루¡â£©¡ÁºÚÉí½Ø루¡á£©£¬ºó´úȫΪ»ÒÉí¸Õ룬˵Ã÷»ÒÉí¸ÕëΪÏÔÐÔÐÔ×´£»
ÓÖÓÉÓÚÎÞÂÛÕý½»»¹ÊÇ·´½»£¬ºó´ú´ÆÐÛ¸öÌåµÄ»ÒÉíºÍºÚÉíµÄ±ÈÀý¾ùµÈÓÚ3£º1£¬ËµÃ÷¿ØÖÆ¿ØÖÆÌåÉ«µÄ»ùÒòλÓÚ³£È¾É«ÌåÉÏ£»¶øºó´ú´ÆÐÛ¸öÌåµÄ¸ÕëÓë½ØëµÄ±ÈÀý²»Í¬£¬ËµÃ÷¸Ã»ùÒòλÓÚÐÔȾɫÌåÉÏ£¬²¢ÇÒÔÓ½»ÊµÑé¶þÖÐËùÓÐ×Ó´úÐÛ¹ûÓ¬¾ùΪ¸Õ룬Òò´Ë¸Ã»ùÒòÖ»ÄÜλÓÚX¡¢YȾɫÌåͬԴÇø¶Î£¨¢ñÇø¶Î£©£®

½â´ð ½â£º£¨1£©ÓÉÒÔÉÏ·ÖÎö¿ÉÒÔÍƶϳö¹ûÓ¬»ÒÉ«ÐÔ×´µÄÒÅ´«·½Ê½Îª³£È¾É«ÌåÏÔÐÔÒÅ´«£»¶ø¿ØÖÆëµÄÐÎ×´µÄ»ùÒòλÓÚÐÔȾɫÌåÉÏ£¬Òò´Ë¹ûÓ¬ÕâÁ½¶ÔÏà¶ÔÐÔ×´µÄÒÅ´«×ñÑ­»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£®
£¨2£©ÊµÑé¶þÖУ¬Ç×±¾»ùÒòÐÍΪBBX^DY^D¡ÁbbX^dX^d£¬Òò´ËF1»ÒÉ«¸ÕëÐÛ¹ûÓ¬µÄ»ùÒòÐÍΪBbX^dY^D£¬´Æ¹ûÓ¬»ùÒòÐÍΪBbX^DX^d£¬F2µÄ»ÒÉ«¸Õë¹ûÓ¬ÖÐÓдÆÐÔºÍÐÛÐÔ£¬·Ö±ð¿ÉÒÔ±íʾΪ£º´ÆÐÔ£¨°üÀ¨$\frac{1}{16}$BBX^DX^d¡¢$\frac{2}{16}$BBX^dX^d£©£¬ÐÛÐÔ£¨°üÀ¨$\frac{1}{16}$BBX^DY^D¡¢$\frac{2}{16}$BbX^DY^D¡¢$\frac{1}{16}$BBX^dY^D¡¢$\frac{1}{16}$BbX^dY^D£©£¬ÆäÖÐÖ»ÓÐBBX^DY^DÊÇ´¿ºÏ×Ó£¬Òò´Ë´¿ºÏ×ÓÓëÔÓºÏ×ӵıÈÀýΪ1£º8£®
£¨3£©ÒÑÖªÔÚ¹ûÓ¬µÄXȾɫÌåÉÏÓÐÒ»¶Ô»ùÒòH¡¢h£¬·Ö±ð¿ØÖƵÄÐÔ×´ÊÇÍȲ¿ÓаßÎƺÍÍȲ¿ÎÞ°ßÎÆ£®ÎªÈ·¶¨H¡¢h»ùÒòÔÚXȾɫÌåÉϵÄλÖÃÊÇ¢ñÇø¶Î»¹ÊÇ¢ò¶Î£¬¿ÉÑ¡Óô¿ÖÖ¹ûÓ¬×öÇ×±¾£¬´ÆÐÔÇ×±¾±íÏÖÐÍΪÍȲ¿ÎÞ°ßÎÆ£¬ÐÛÐÔÇ×±¾±íÏÖÐÍΪÍȲ¿ÓаßÎƽøÐÐÔÓ½»£¬¹Û²ì×Ó´ú¹ûÓ¬µÄÐÔ×´²¢Í³¼Æ¼Ç¼½á¹û£®
ÈôΪ°éX£¨¢ò¶Î£©ÒÅ´«X^hX^h¡ÁX^HY£¬ºó´ú´ÆÐÔȫΪÍȲ¿ÓаßÎÆX^HX^h£¬ÐÛÐÔȫΪÍȲ¿ÎÞ°ßÎÆX^hY£»ÈôΪX¡¢YͬԴÇø¶Î£¨¢ñ¶Î£©µÄÒÅ´«£¬X^hX^h¡ÁX^HY^H£¬ºó´ú´ÆÐÛ¹ûÓ¬¾ùΪÍȲ¿ÓаßÎÆX^HX^h¡¢X^hY^H£®
¹Ê´ð°¸Îª£º
£¨1£©³£È¾É«ÌåÏÔÐÔÒÅ´«    »ùÒòµÄ×ÔÓÉ×éºÏ
£¨2£©BbX^dY^D     1£º8
£¨3£©ÎÞ°ßÎÆ     ÓаßÎÆ

µãÆÀ ±¾Ìâ½áºÏÐÔȾɫÌå¼òͼ£¬¿¼²éÈËÀàÒÅ´«²¡¡¢°éÐÔÒÅ´«£¬ÒªÇó¿¼Éúʶ¼ÇÈËÀàÒÅ´«²¡µÄÖÖÀ༰Ìص㣻Äܸù¾ÝÐÔȾɫÌå¼òͼ£¬Ã÷È·¸÷Çø¶Î»ùÒòÒÅ´«µÄÌص㣬ÔÙ½áºÏËùѧµÄ֪ʶ׼ȷ´ðÌ⣬ÊôÓÚ¿¼¸Ùʶ¼ÇºÍÀí½â²ã´ÎµÄ¿¼²é£®