Question

10£®ÈçͼÊÇ»¼¼×²¡£¨ÏÔÐÔ»ùÒòΪA£¬ÒþÐÔ»ùÒòΪa£©ºÍÒÒ²¡£¨ÏÔÐÔ»ùÒòΪB£¬ÒþÐÔ»ùÒòΪb£©Á½ÖÖÒÅ´«²¡µÄϵÆ×ͼ£¬ÏÂÁÐÃèÊö´íÎóµÄÊÇ£¨¡¡¡¡£©

• A£® ¼×²¡Îª³£È¾É«ÌåÏÔÐÔÒÅ´«£¬ÒÒ²¡°éXÏÔÐÔÒÅ´«
• B£® II₄µÄ»ùÒòÐÍÒ»¶¨ÊÇaaX^BY£¬II₂¡¢II₅Ò»¶¨ÊÇÔÓºÏ×Ó
• C£® ÈôII₁ΪЯ´øÓÐÒÒ²¡»ùÒò£¬Ôò¸Ã²¡Îª³£È¾É«ÌåÏÔÐÔÒÅ´«
• D£® ÈôII₁²»ÊÇÒÒ²¡»ùÒòµÄЯ´øÕߣ¬III₁ÓëIII₄½á»éÉúÁËÒ»¸öÄк¢£¬¸ÃÄк¢Ö»»¼ÒÒ²¡µÄ¸ÅÂÊΪ$\frac{1}{12}$

Answer 1

·ÖÎö ·ÖÎöϵÆ×ͼ£ºII₅ºÍII₆¶¼»¼¼×²¡£¬µ«ËûÃÇÓÐÒ»¸öÕý³£µÄÅ®¶ù£¬¼´¡°ÓÐÖÐÉúÎÞΪÏÔÐÔ£¬ÏÔÐÔ¿´Äв¡£¬Äв¡Å®Õý·Ç°éÐÔ¡±£¬ËµÃ÷¸Ã²¡Îª³£È¾É«ÌåÏÔÐÔÒÅ´«²¡£®II₁ºÍII₂¶¼²»»¼ÒÒ²¡£¬µ«ËûÃÇÓÐÒ»¸ö»¼ÒÒ²¡µÄ¶ù×Ó£¬¼´¡°ÎÞÖÐÉúÓÐΪÒþÐÔ¡±£¬ËµÃ÷ÒÒ²¡ÎªÒþÐÔÒÅ´«²¡£¬¿ÉÄÜΪ³£È¾É«ÌåÒþÐÔÒÅ´«²¡£¬Ò²¿ÉÄÜÊÇ°éXȾɫÌåÒþÐÔÒÅ´«²¡£®

½â´ð ½â£ºA¡¢ÓÉÒÔÉÏ·ÖÎö¿ÉÖª£¬¼×²¡Îª³£È¾É«ÌåÏÔÐÔÒÅ´«£¬ÒÒ²¡ÒþÐÔÒÅ´«²¡£¬A´íÎó£»
B¡¢ÓÉÓÚÒÒ²¡¿ÉÄÜΪ³£È¾É«ÌåÒþÐÔÒÅ´«²¡£¬Ò²¿ÉÄÜÊÇ°éXȾɫÌåÒþÐÔÒÅ´«²¡£¬Òò´ËII₄µÄ»ùÒòÐͲ»Ò»¶¨ÊÇaaX^BY£¬B´íÎó£»
C¡¢ÈôII₁ΪЯ´øÓÐÒÒ²¡»ùÒò£¬Ôò¸Ã²¡Îª³£È¾É«ÌåÒþÐÔÒÅ´«²¡£¬C´íÎó£»
D¡¢ÈôII₁²»ÊÇÒÒ²¡»ùÒòµÄЯ´øÕߣ¬ÔòÒÒ²¡Îª°éXȾɫÌåÒþÐÔÒÅ´«²¡£¬III₁£¨$\frac{1}{2}$aaX^BX^b¡¢$\frac{1}{2}$aaX^BX^B£©ÓëIII₄£¨$\frac{1}{3}$AAX^BY¡¢$\frac{2}{3}$AaX^BY£©½á»éÉúÁËÒ»¸öÄк¢£¬¸ÃÄк¢Ö»»¼ÒÒ²¡µÄ¸ÅÂÊΪ$\frac{2}{3}¡Á\frac{1}{2}¡Á\frac{1}{2}¡Á\frac{1}{2}$=$\frac{1}{12}$£¬DÕýÈ·£®
¹ÊÑ¡£ºD£®

µãÆÀ ±¾Ìâ½áºÏϵÆ×ͼ£¬¿¼²é³£¼ûµÄÈËÀàÒÅ´«²¡£¬ÒªÇó¿¼Éúʶ¼Ç¼¸ÖÖ³£¼ûÈËÀàÒÅ´«²¡µÄÀàÐÍ¡¢Ìص㼰ʵÀý£¬Äܸù¾ÝϵÆ×ͼ׼ȷÍƶÏÕâÁ½ÖÖÒÅ´«²¡µÄÒÅ´«·½Ê½¼°ÏàÓ¦¸öÌåµÄ»ùÒòÐÍ£¬ÔÙ½øÐÐÏà¹Ø¸ÅÂʵļÆË㣬ÊôÓÚ¿¼¸ÙÀí½âºÍÓ¦Óòã´ÎµÄ¿¼²é£®