ÌâÄ¿ÄÚÈÝ
17£®Ä³ÖÖÖ²ÎïµÄ¹ûʵÓÐÅÌÐΡ¢Ô²Ðκͳ¤ÐÎÈýÖÖ£¬»¨µÄÑÕÉ«ÓÐ×ÏÉ«¡¢ºìÉ«ºÍ°×É«ÈýÖÖ£®»Ø´ðÒÔÏÂÎÊÌ⣺£¨1£©ÒÑÖª¿ØÖƸÃÖ²Îï¹ûʵÐÎ×´µÄÁ½¶Ô»ùÒòAºÍa¡¢BºÍb¶ÀÁ¢ÒÅ´«£¬ÆäÖлùÒòÐÍΪAaBbµÄÖ²Öê×Ô½»£¬×Ó´úµÄ±íÏÖÐͼ°±ÈÀýΪÅÌÐΣºÔ²ÐΣº³¤ÐÎ=9£º6£º1£®
¢ÙÈç¹ûÁ½Ö겻ͬ»ùÒòÐ͵ÄÖ²ÖêÔÓ½»£¬×Ó´ú³öÏÖ3£º1µÄÐÔ×´·ÖÀë±È£¬ÔòÇ×±¾»ùÒòÐÍΪAaBB¡¢AaBb£¨Ð´³öÒ»ÖÖ¼´¿É£©£®
¢Úͨ¹ý²â½»ÄÜ·ñ¼ì²â³öËùÓÐÅÌÐÎÖ²ÖêµÄ»ùÒòÐÍ£¿²»ÄÜ£¬ÀíÓÉÊÇ»ùÒòÐÍΪAaBBÓëAABbµÄÖ²Öê²â½»µÄ½á¹ûÏàͬ£®
£¨2£©ÒÑÖª¿ØÖƸÃÖ²ÎﻨɫµÄÁ½¶Ô»ùÒòEºÍe¡¢FºÍfλÓÚÁ½¶ÔͬԴȾɫÌåÉÏ£¬µ«²»ÖªµÀ¾ßÌå»ùÒòµÄ¿ØÖÆÇé¿ö£®Èô»ùÒòÐÍΪEeFfºÍeeFfµÄÖ²ÖêÔÓ½»£¬ËùµÃ×Ó´úµÄ¶ÔÓ¦±íÏÖÐͼ°Æä±ÈÀýΪ×ÏÉ«£ººìÉ«£º°×É«=1£º1£º6£¬ÔòÈçͼ¡°ºáÏß¡±ÉÏÏàÓ¦µÄ»ùÒòÓ¦¸ÃΪF¡¢f¡¢E¡¢e»òF¡¢f¡¢e¡¢E£¨´Ó×óµ½ÓÒ£©£®
£¨3£©¼ÙÈç¸ÃÖ²ÎïµÄijһÏà¶ÔÐÔ×´ÓÐ4ÖÖ±íÏÖÐÍ£¬ÊÜÒ»×鸴µÈλ»ùÒòA1¡¢A2¡¢A3¡¢a¿ØÖÆ£¬¿ØÖÆÇé¿öÈçÏ£º
ÒÑÖª¸÷»ùÒò¼äÍêÈ«ÏÔÐÔÇÒA1¡¢A2ºÍA3¶ÔaΪÏÔÐÔ£¬µ«²»Çå³þA1¡¢A2ºÍA3Ö®¼äµÄÏÔÒþÐÔ¹ØÏµ£®
¢Ù¸Ã×鸴µÈλ»ùÒò£¬¿É×é³É10ÖÖ»ùÒòÐÍ£®
¢ÚÇë´ÓA1A1¡¢A2A2¡¢A3A3ºÍaaËÄÖÖ´¿ºÏÖ²ÖêÖÐÑ¡ÔñºÏÊÊÖ²ÖêÀ´Åж¨A1¡¢A2ºÍA3£¬Ö®¼äµÄÏÔÒþÐÔ¹ØÏµ£¨ÒªÇóд³ö¼òÒªµÄ˼·£©£ºÈÃA1A1¡¢A2A2¡¢A3A3ÈýÖÖÖ²ÖêÏ໥ÔÓ½»£¬Í³¼ÆÈý×éÔÓ½»×éºÏÖÐ×Ó´ú±íÏÖÐͳöÏֵĴÎÊý£®
·ÖÎö »ùÒòÐÍΪAaBbµÄÖ²Öê×Ô½»£¬×Ó´úµÄ±íÏÖÐͼ°±ÈÀýΪÅÌÐΣºÔ²ÐΣº³¤ÐÎ=9£º6£º1£¬ËµÃ÷Ë«ÏÔÐÔA_B_ΪÅÌÐΡ¢A_bbºÍaaB_ΪԲÐΡ¢aabbΪ³¤ÐΣ¬¾Ý´Ë´ðÌ⣮
½â´ð ½â£º£¨1£©¢ÙÈç¹ûÁ½Ö겻ͬ»ùÒòÐ͵ÄÖ²ÖêÔÓ½»£¬×Ó´ú³öÏÖ3£º1µÄÐÔ×´·ÖÀë±È£¬ËµÃ÷ÓÐÒ»¶Ô»ùÒòÊÇÔÓºÏ×Ó×Ô½»£¬»¹ÓÐÒ»¶Ô»ùÒòûÓÐÐÔ×´·ÖÀ룬ÈçÇ×±¾»ùÒòÐÍΪAaBB¡¢AaBb»òAaBB¡¢Aabb»òAABb¡¢AaBb»òAABb¡¢aaBbµÈ£®
¢ÚÓÉÓÚ»ùÒòÐÍΪAaBBÓëAABbµÄÖ²Öê²â½»µÄ½á¹ûÏ࣬ËùÒÔͨ¹ý²â½»²»Äܼì²â³öËùÓÐÅÌÐÎÖ²ÖêµÄ»ùÒòÐÍ£®£¨2£©¸ù¾Ý»ùÒòÐÍΪEeFfºÍeeFfµÄÖ²ÖêÔÓ½»£¬ËùµÃ×Ó´úµÄ¶ÔÓ¦±íÏÖÐͼ°Æä±ÈÀýΪ×ÏÉ«£ººìÉ«£º°×É«=1£º1£º6£¬¿ÉÖªÖ»ÒªÓÐF¾Í±íÏÖΪ°×É«£¬Eeff£¬eeff¿É·Ö±ð±íʾ×ÏÉ«ÑÌ»¨»òºìÉ«£¬ËùÒÔͼ¡°ºáÏß¡±ÉÏÏàÓ¦µÄ»ùÒòÓ¦¸ÃΪ F¡¢f¡¢E¡¢e»òF¡¢f¡¢e¡¢E£®
£¨3£©¢Ù¼ºÖª¸Ã×鸴µÈλ»ùÒòÓÐËÄÖÖ»ùÒò£¬Æä¿ÉÒÔ×é³É4ÖÖ´¿ºÏ×ÓºÍ6ÖÖÔÓºÏæÝ£¬¹²¿É×é³É10ÖÖ»ùÒòÐÍ£®
¢Ú¸ù¾ÝÏà¶ÔÐÔ×´µÄ´¿ºÏÇ×±¾ÔÓ½»£¬×Ó´ú±íÏÖ³öÀ´µÄÊÇÏÔÐÔÐÔ×´£¬¿ÉÈÃA1A1¡¢A2A2¡¢A3A3ÈýÖÖÖ²ÖêÏ໥ÔÓ½»£¬Í³¼ÆÈý×éÔÓ½»×éºÏÖÐ×Ó´ú±íÏÖÐͳöÏֵĴÎÊý£®
¹Ê´ð°¸Îª£º
£¨1£©¢ÙAaBB¡¢AaBb»òAaBB¡¢Aabb»òAABb¡¢AaBb»òAABb¡¢aaBb
¢Ú²»ÄÜ »ùÒòÐÍΪAaBBÓëAABbµÄÖ²Öê²â½»µÄ½á¹ûÏàͬ
£¨2£©F¡¢f¡¢E¡¢e»òF¡¢f¡¢e¡¢E
£¨3£©¢Ù10 ¢ÚÈÃA1A1¡¢A2A2¡¢A3A3ÈýÖÖÖ²ÖêÏ໥ÔÓ½»£¬Í³¼ÆÈý×éÔÓ½»×éºÏÖÐ×Ó´ú±íÏÖÐͳöÏֵĴÎÊý
µãÆÀ ±¾Ì⿼²é»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄÓ¦Óã¬ÐèҪѧÉú¸ù¾Ý±íÏÖÐÍÕýȷд³öÏàÓ¦µÄ»ùÒòÐÍ£¬ÄѶȽϴó£®
| A£® | ºó´úÐÔ×´Ò»¶¨Óëĸ±¾Ïàͬ | B£® | ºó´úÐÔ×´µÄÒÅ´«ÎïÖÊÓÉĸÌåÌṩ | ||
| C£® | ºó´ú²»·¢ÉúÐÔ×´·ÖÀë | D£® | ĸϵÒÅ´«ÏÖÏóÊÇÓÉRNA¾ö¶¨µÄ |
| A£® | ¼×ͼÖÐÉúÎï×Ô½»ºó´ú²»»á³öÏÖ»ùÒòÐÍΪAABBDDµÄ¸öÌå | |
| B£® | ÒÒͼÖкڷ½¿òͼ±íʾÄÐÐÔ»¼Õߣ¬¸Ã²¡ÓпÉÄÜÊÇXȾɫÌåÒþÐÔÒÅ´«²¡ | |
| C£® | ±ûͼËùʾµÄÒ»¶Ô·ò¸¾£¬Èç¹ûÉúÒ»¸öÄк¢£¬¸Ãº¢×ÓÊÇ»¼ÕߵĸÅÂÊΪ$\frac{1}{2}$ | |
| D£® | ¶¡Í¼Ï¸°û±íʾ¶þ±¶ÌåÉúÎïÓÐË¿·ÖÁѺóÆÚ |
| A£® | δ½ÓÖÖµÄÖ»ÓÐÏËÎ¬ËØÎªÎ¨Ò»Ì¼Ô´µÄÅàÑø»ù | |
| B£® | δ½ÓÖÖµÄÅ£Èâ¸àµ°°×ëËÅàÑø»ù | |
| C£® | ½ÓÖÖÁ˵ÄÅ£Èâ¸àµ°°×ëËÅàÑø»ù | |
| D£® | ½ÓÖÖÁ˵ÄÖ»ÓÐÏËÎ¬ËØÎªÎ¨Ò»Ì¼Ô´µÄÅàÑø»ù |
| A£® | Ë®ÈÜÐÔôȼ׻ùÏËÎ¬ËØÄÆ | B£® | ²»ÈÜÓÚË®µÄ΢¾§ÏËÎ¬ËØ | ||
| C£® | ´×Ëá-´×ËáÄÆ | D£® | ¸Õ¹ûºì |