Question

7£®ÈçͼΪij¸öºìÂÌɫä¼Ò×åµÄÒÅ´«ÏµÆ×ͼ£¬É«Ã¤»ùÒòÊÇb£¬Çë»Ø´ð£º£¨Í¼ÖСõ±íʾÄÐÕý³££¬¡ð±íʾŮÕý³££¬ Ê¾ÄÐɫ䣬±íʾŮɫ䣮£©
£¨1£©11ºÅµÄɫä»ùÒòÀ´×ÔÓÚ1´ú¸öÌåÖеÄ2ºÅ£®
£¨2£©ÔÚÕâ¸öϵÆ×ͼÖпÉÒԿ϶¨ÎªÅ®ÐÔЯ´øÕßµÄÒ»¹²ÓÐ5ÈË£¬ËýÃÇÊÇ2£¬4£¬7£¬9£¬10£®
£¨3£©7ºÅºÍ8ºÅÔÙÉúÒ»¸ö»¼²¡¶ù×ӵĸÅÂÊΪ$\frac{1}{4}$£¬9ºÅºÍ10ºÅÊôÓÚÅÔϵ£¨Ìîֱϵ»òÅÔϵ£©ÑªÇ×£®
£¨4£©6ºÅµÄ»ùÒòÐÍÊÇX^BX^B»òX^BX^b£¬ËýÓëÒ»Õý³£ÄÐ×Ó½á»é£¬ÉúÒ»¸ö»¼É«Ã¤º¢×ӵĸÅÂÊÊÇ$\frac{1}{8}$£®
£¨5£©É«Ã¤²¡µÄÒÅ´«ÌصãÊÇ£ºÄÐÐÔºìÂÌɫä»ùÒòÖ»ÄÜ´ÓËûĸÇ×ÄÇÀï´«À´£¬ÒÔºóÖ»ÄÜ´«¸øËûÅ®¶ù£¬ÔÚÒÅ´«Ñ§ÉϽн»²æÒÅ´«£®

Answer 1

·ÖÎö ѪÓѲ¡ÊÇ°éXȾɫÌåÒþÐÔÒÅ´«²¡£¬°éXȾɫÌåÒþÐÔÒÅ´«²¡µÄÌص㣺¸ô´ú½»²æÒÅ´«¡¢Äл¼Õ߶àÓÚÅ®»¼Õߣ¬¡°Å®²¡¸¸×Ó²¡£¬ÄÐÕýĸŮÕý¡±£®Í¼ÖÐ11µÄ»ùÒòÐÍΪX^bY£¬ËùÒÔ7µÄ»ùÒòÐÍΪX^BX^b£¬ÓÖÒòΪ1µÄ»ùÒòÐÍΪX^BY£¬Ôò2µÄ»ùÒòÐÍΪX^BX^b£¬¾Ý´Ë·ÖÎö´ðÌ⣮

½â´ð ½â£º£¨1£©11ºÅÊÇɫäÄÐÐÔ£¬»ùÒòÐÍΪX^bY£¬ËûµÄɫä»ùÒòÀ´×ÔÓÚ¢ò´ú7ºÅ£¬×îÖÕÀ´×ÔÓÚ1´ú2ºÅ£®
£¨2£©ÒòΪ3ºÅÊÇX^bY£¬ËùÒÔ9¡¢10Ò»¶¨ÊÇЯ´øÕßX^BX^b£»ÒòΪ8ºÅÊÇX^bY£¬ËùÒÔ4Ò»¶¨ÊÇЯ´øÕßX^BX^b£»ÒòΪ11ºÅÊÇX^bY£¬ËùÒÔ7¡¢2Ò»¶¨ÊÇЯ´øÕßX^BX^b£®
£¨3£©ÒÑÖª7ÊÇX^BX^b£¬8ÊÇX^bY£¬ËùÒÔºó´ú»¼²¡¶ù×ӵĻúÂÊΪ$\frac{1}{4}$£®9ºÅºÍ10ºÅÊǽãÃã¬ÊôÓÚÅÔϵѪÇ×£®
£¨4£©ÒÑÖª1ÊÇX^BY£¬2ÊÇX^BX^b£¬ËùÒÔ6ÊÇ$\frac{1}{2}$X^BX^B»ò$\frac{1}{2}$X^BX^b£®ËýÓëÒ»Õý³£ÄÐ×ÓX^BY½á»é£¬ÉúÒ»¸ö»¼É«Ã¤º¢×ӵĸÅÂÊÊÇ$\frac{1}{2}¡Á\frac{1}{4}$=$\frac{1}{8}$£®
£¨5£©É«Ã¤ÊÇ°éXÒþÐÔÒÅ´«²¡£¬ÄÐÐÔºìÂÌɫä»ùÒòÖ»ÄÜ´ÓËûĸÇ×ÄÇÀï´«À´£¬ÒÔºóÖ»ÄÜ´«¸øËûÅ®¶ù£¬ÔÚÒÅ´«Ñ§ÉϽн»²æÒÅ´«£®
¹Ê´ð°¸Îª£º
£¨1£©2
£¨2£©5        2£¬4£¬7£¬9£¬10
£¨3£©$\frac{1}{4}$    ÅÔϵ
£¨4£©X^BX^B»òX^BX^b  $\frac{1}{8}$
£¨5£©Ä¸Ç× Å®¶ù ½»²æÒÅ´«

µãÆÀ ±¾Ì⿼°éÐÔÒÅ´«µÄÏà¹Ø֪ʶ£¬ÒâÔÚ¿¼²é¿¼ÉúÀí½âËùѧ֪ʶµÄÒªµã£¬°ÑÎÕ֪ʶ¼äµÄÄÚÔÚÁªÏµ¡¢·ÖÎöÒÅ´«Í¼ÆÕÒÔ¼°½â¾öÎÊÌâµÄÄÜÁ¦£®