ÌâÄ¿ÄÚÈÝ
¡¾ÌâÄ¿¡¿Ï±íΪ 3 ¸ö²»Í¬Ë®µ¾ÔÓ½»×éºÏ¼°Æä×Ó´úµÄ±íÏÖÐͺÍÖ²ÖêÊýÄ¿¡£ÄÜ·ñ¿¹²¡ÓÃ×Öĸ R¡¢r ±íʾ£¬¸ÑµÄ¸ßµÍÓà D¡¢d ±íʾ¡£¾Ý±í»Ø´ðÏÂÁÐÓйØÎÊÌ⣺
£¨1£©¸ù¾Ý×éºÏ_____£¬¿ÉÈ·¶¨¿¹²¡Îª_____ÐÔÐÔ×´¡£
£¨2£©¸ù¾Ý×éºÏ_____£¬¿ÉÈ·¶¨¸ß¸ÑΪ_____ÐÔÐÔ×´¡£
£¨3£©Èô×éºÏÒ»Ç×±¾Öеĸв¡¸ß¸Ñ¸öÌå×Ô½»£¬×Ó´ú¿ÉµÃµ½_____ÖÖ»ùÒòÐÍ¡£
£¨4£©Èô×éºÏÒ»ºÍ×éºÏ¶þÇ×±¾ÖеĿ¹²¡¸ß¸Ñ¸öÌåÔÓ½»£¬×Ó´ú¿ÉµÃµ½_____ÖÖ±íÏÖÐÍ¡£
£¨5£©Èô×éºÏÒ»×Ó´úµÄ¸Ð²¡°«¸ÑÓë×éºÏÈý×Ó´úµÄ¸Ð²¡¸ß¸ÑÔÓ½»£¬µÃµ½ÒþÐÔ´¿ºÏ×ӵĸÅÂÊÊÇ_____¡£
£¨6£©Ð´³ö×éºÏÒ»Ç×±¾Öеĸв¡¸ß¸ËÖ²ÖêµÄ²â½»ÒÅ´«Í¼½â___________________¡£
¡¾´ð°¸¡¿Èý Òþ Ò» ÏÔ 9 2 1/12
¡¾½âÎö¡¿
¸ù¾Ý×Ó´úµÄ±íÏÖÐͼ°±ÈÀýÍÆÖªÇ×±¾»ùÒòÐÍ£¬ÕâÖÖÌâÄ¿£¬¿ÉÒÔÏȸù¾ÝÇ×±¾±íÏÖÐÍÈ·¶¨Ç×±¾µÄ²¿·Ö»ùÒòÐÍ£¬ÔÙ¸ù¾Ý×Ó´úµÄ±íÏÖÐͼ°±ÈÀýÍÆÖªÇ×±¾µÄÁíÒ»²¿·Ö»ùÒòÐÍ£º
×éºÏÒ»£º¿¹²¡¡¢¸ß¸Ë¡Á¸Ð²¡¡¢¸ß¸Ë£¬Ê×Ïȸù¾ÝÇ×±¾±íÏÖÐÍ¿ÉÖª£ºÇ×±¾µÄ²¿·Ö»ùÒòÐÍΪaaB_¡ÁA_B_£¬ÒòΪ×Ó´ú³öÏÖ°«¸Ëbb£¬ÇÒ×Ó´úÖп¹²¡£º¸Ð²¡=1£º1£¬¹ÊÇ×±¾»ùÒòÐÍΪaaBb¡ÁAaBb£»
×éºÏ¶þ£º¿¹²¡¡¢¸ß¸Ë¡Á¸Ð²¡¡¢°«¸Ë£¬Ê×Ïȸù¾ÝÇ×±¾±íÏÖÐÍ¿ÉÖª£ºÇ×±¾µÄ²¿·Ö»ùÒòÐÍΪaaB_¡ÁA_bb£¬ÒòΪ×Ó´úÖп¹²¡£º¸Ð²¡=1£º1£»¸ß¸Ë£º°«¸Ë=1£º1£¬¹ÊÇ×±¾»ùÒòÐÍΪaaBb¡ÁAabb£»
×éºÏÈý£º¸Ð²¡¡¢¸ß¸Ë¡Á¸Ð²¡¡¢°«¸Ë£¬Ê×Ïȸù¾ÝÇ×±¾±íÏÖÐÍ¿ÉÖª£ºÇ×±¾µÄ²¿·Ö»ùÒòÐÍΪA_B_¡ÁA_bb£¬ÒòΪ×Ó´ú³öÏÖ¿¹²¡aa£¬ÇÒ×Ó´úÖи߸ˣº°«¸Ë=1£º1£¬¹ÊÇ×±¾»ùÒòÐÍΪAaBb¡ÁAabb¡£
(1)ÓÉ×éºÏÈý£¬¸Ð²¡Óë¸Ð²¡×Ó´úÖгöÏÖ¿¹²¡£¬ËùÒÔ¿¹²¡ÊÇÒþÐÔ£¬¸Ð²¡ÊÇÏÔÐÔ¡£
(2)ÓÉ×éºÏÒ»£¬¸ß¸ËºÍ¸ß¸Ë×Ó´ú³öÏÖ°«¸Ë£¬ËùÒÔ°«¸ËÊÇÒþÐÔ£¬¸ß¸ËÊÇÏÔÐÔ¡£
(3)×éºÏÒ»Öеĸв¡¸ß¸Ë£¨AaBb£©¸öÌå×Ô½»£¬×Ó´úÓÐ9ÖÖ»ùÒòÐÍ¡£
(4)Èô×éºÏÒ»ºÍ×éºÏ¶þÖеĿ¹²¡¸ß¸Ë¸öÌå½»Å䣬¼´aaBb¡ÁaaBb£¬×Ó´ú±íÏÖÐÍÓÐ2ÖÖ¡£
(5)Èô×éºÏÒ»×Ó´úµÄ¸Ð²¡°«¸Ñ»ùÒòÐÍΪAabbÓë×éºÏÈý×Ó´úµÄ¸Ð²¡¸ß¸Ñ»ùÒòÐÍΪ1/3AABbºÍ2/3AaBbÔÓ½»£¬ÒªµÃµ½ÒþÐÔ´¿ºÏ×Ó£¬Ö»ÄÜÊÇAabb¡Á2/3AaBb²úÉúaabbµÄ¸ÅÂÊÊÇ1/4¡Á2/3¡Á1/2=1/12¡£
(6)×éºÏÒ»Ç×±¾Öеĸв¡¸ß¸ËÖ²ÖêµÄ²â½»ÒÅ´«Í¼½âΪ