Question

3£®¹ûÓ¬ÊÇÒÅ´«Ñ§Ñо¿Öг£ÓõÄģʽÉúÎÏÖÓÐËÄÖÖ¹ûÓ¬£¬¼×£º¾íÇú³á¡á¡¢ÒÒ£º¾íÇú³á¡â¡¢±û£ºÕý³£³á¡á¡¢¶¡£ºÕý³£³á¡â£¬¾íÇú³á£¨C£©¶ÔÕý³£³á£¨c£©ÎªÏÔÐÔ£¬Çë´ÓÖÐÑ¡È¡Ç×±¾½øÐÐÔÓ½»ÊµÑ飮
£¨1£©ÈôҪͨ¹ýÒ»´ÎÔÓ½»ÊµÑéÈ·¶¨C¡¢cÊÇÔÚ³£È¾É«ÌåÉÏ»¹ÊÇÔÚXȾɫÌåÉÏ£¬¿ÉÑ¡ÓõÄÔÓ½»×éºÏÊǼסÁ¶¡£¬Èç¹û×Ó´ú±íÏÖΪ´ÆÐÛÐÔ¸öÌåÖоù¼ÈÓоíÇú³áÓÖÓÐÕý³£³á»ò´ÆÐÛ¸öÌå¾ùΪ¾íÇú³á£¬Ôò¸Ã»ùÒòÔÚ³£È¾É«ÌåÉÏ£»Èç¹û×Ó´ú±íÏÖΪ´ÆÐÔȫΪ¾íÇú³á£¬ÐÛÐÔȫΪÕý³£³á£¬Ôò¸Ã»ùÒòÔÚXȾɫÌåÉÏ£®
£¨2£©ÈôÒÑÈ·¶¨C¡¢c»ùÒòÔÚXȾɫÌåÉÏ£¬Îª½øÒ»²½Ì½¾¿¸Ã»ùÒòÊÇ·ñ´æÔÚÒþÐÔÐÛÅä×ÓÖÂËÀÏÖÏó£¬ÇëÉè¼ÆÔÓ½»ÊµÑé²¢ÍƲâ½áÂÛ£ºÑ¡È¡ÐòºÅΪ±û¡ÁÒÒ»ò±û¡Á¶¡µÄÇ×±¾ÔÓ½»£¬Èç¹û×Ó´ú±íÏÖΪȫΪÐÛÐÔ£¬Ôò´æÔÚÒþÐÔÐÛÅä×ÓÖÂËÀÏÖÏ󣬷ñÔò²»´æÔÚ£®
£¨3£©ÈôÒÑÈ·¶¨C¡¢c»ùÒòÔÚ³£È¾É«ÌåÉÏÇÒ´æÔÚÏÔÐÔ´¿ºÏÖÂËÀÏÖÏó£¨ÅßÌ¥ÖÂËÀ£©£¬Ñ¡Óö¼Îª¾íÇú³áµÄ°×ÑÛ£¨X^bX^b£©ÓëºìÑÛ£¨X^BY£©¹ûÓ¬ÔÓ½»£¬×Ó´úF₁ÖоíÇú³á°×ÑÛÐÛ¹ûÓ¬ËùÕ¼±ÈÀýΪ$\frac{1}{3}$£®

Answer 1

·ÖÎö ±¾Ì⿼²éµÄ֪ʶµãÊÇ°éÐÔÒÅ´«£¬×¢ÒâËĸöÇ×±¾ÓÐÐÔ±ðºÍ³áÐÎÖ®·Ö£¬ÒÔ±ãÔÚÉè¼ÆʵÑéÊÇÄÜÕýÈ·µÄÑ¡Ôñ£¬¸ù¾ÝÇ××Ó´úÖ®¼äµÄÐÔ×´Çé¿ö£¬ÅжϻùÒòµÄλÖûòÒÅ´«·½Ê½£®

½â´ð ½â£º£¨1£©ÅжϻùÒòÊÇλÓÚXȾɫÌåÉÏ»¹Êdz£È¾É«ÌåÉÏ£¬¿ÉÓÃÏÔÐÔÐÛÐÔ£¨¾íÇú³áÐÛÐÔ£©ÓëÒþÐÔ´ÆÐÔ£¨Õý³£³á´ÆÐÔ£©ÔÓ½»£¬¼´¼×¡Á¶¡£¬Èô×Ó´úÐÔ×´ÓëÐÔ±ðÎÞ¹ØÔòΪ³£È¾É«ÌåÉÏ£¬Èô×Ó´ú´ÆÐÔÈ«ÊÇÏÔÐÔ£¨¾íÇú³á£©£¬ÐÛÐÔÈ«ÊÇÒþÐÔ£¨Õý³£³á£©ÔòΪ°éXȾɫÌåÒÅ´«£»Èô´ÆÐÛÐÔ¸öÌåÖоù¼ÈÓоíÇú³áÓÖÓÐÕý³£³á»ò´ÆÐÛ¸öÌå¾ùΪ¾íÇú³á£¬Ôò¸Ã»ùÒòÔÚ³£È¾É«ÌåÉÏ£®
£¨2£©ÈôÒÑÈ·¶¨C¡¢c»ùÒòÔÚXȾɫÌåÉÏ£¬¼ÙÉè´æÔÚÒþÐÔÐÛÅä×ÓÖÂËÀÏÖÏó£¬ÔòÕý³£³áX^cÖÂËÀ£®Ñ¡È¡ÐòºÅΪ±û¡ÁÒÒ»ò±û¡Á¶¡µÄÇ×±¾ÔÓ½»£¬Èç¹û×Ó´ú±íÏÖΪȫΪÐÛÐÔ£¬Ôò´æÔÚÒþÐÔÐÛÅä×ÓÖÂËÀÏÖÏ󣬷ñÔò²»´æÔÚ£®
£¨3£©C¡¢c»ùÒòÔÚ³£È¾É«ÌåÉÏ£¬ÇÒ´æÔÚÏÔÐÔ´¿ºÏÖÂËÀ£¨ÅßÌ¥ÖÂËÀ£©ÏÖÏó£¬ÔòÑ¡È¡µÄ¾íÇú³áµÄ°×ÑÛÓëºìÑÛ¹ûÓ¬µÄ»ùÒòÐÍ·Ö±ðÊÇ£ºCcX^bX^b¡¢CcX^BY£¬×Ó´úF₁µÄ»ùÒòÐͼ°±ÈÀýΪCcX^BX^b£ºCcX^bY£ºccX^BX^b£ºccX^bY=2£º2£º1£º1£¬×Ó´úF₁ÖоíÇú³á°×ÑÛ¹ûÓ¬µÄ»ùÒòÐÍÊÇCcX^bYΪ$\frac{2}{6}=\frac{1}{3}$£®
¹Ê´ð°¸Îª£º
£¨1£©¼×¡Á¶¡¡¡ ´ÆÐÛÐÔ¸öÌåÖоù¼ÈÓоíÇú³áÓÖÓÐÕý³£³á»ò´ÆÐÛ¸öÌå¾ùΪ¾íÇú³á
£¨2£©Ñ¡È¡ÐòºÅΪ±û¡ÁÒÒ»ò±û¡Á¶¡µÄÇ×±¾ÔÓ½»£¬Èç¹û×Ó´ú±íÏÖΪȫΪÐÛÐÔ£¬Ôò´æÔÚÒþÐÔÐÛÅä×ÓÖÂËÀÏÖÏ󣬷ñÔò²»´æÔÚ
£¨3£©$\frac{1}{3}$

µãÆÀ ±¾Ìâ×ۺϿ¼²éÁË°éÐÔÒÅ´«¡¢×ÔÓÉ×éºÏ¡¢È¾É«ÌåÒì³£µÈ֪ʶµã£¬×ÛºÏÐÔºÜÇ¿£¬ÄÜÁ¦ÒªÇóÒ²ºÜ¸ß£¬ÌرðÊÇÅßÌ¥ÖÂËÀºóÏà¹ØµÄ»ùÒòÐ͵ıÈÀýÒª·¢Éú¸Ä±äÕâÒ»µãºÜÈÝÒ׺öÂÔ£®