ÌâÄ¿ÄÚÈÝ
6£®Í¼ÊÇij¼Òϵ¼×¡¢ÒÒ¡¢±ûÈýÖÖµ¥»ùÒòÒÅ´«²¡µÄϵÆ×ͼ£¬Æä»ùÒò·Ö±ðÓÃA¡¢a£¬B¡¢bºÍD¡¢d±íʾ£®¼×²¡ÊǰéÐÔÒÅ´«²¡£¬¢ò7²»Ð¯´øÒÒ²¡µÄÖ²¡»ùÒò£®ÔÚ²»¿¼ÂǼÒϵÄÚ·¢ÉúеĻùÒòÍ»±äµÄÇé¿öÏ£¬Çë»Ø´ðÏÂÁÐÎÊÌ⣺£¨1£©¼×²¡µÄÒÅ´«·½Ê½¿ÉÄÜÊǰéXȾɫÌåÏÔÐÔÒÅ´«£¬±û²¡µÄÒÅ´«·½Ê½Êdz£È¾É«ÌåÒþÐÔÒÅ´«£¬¢ò6µÄ»ùÒòÐÍÊÇDDXABXab»òDdXABXab
£¨2£©¢ó13»¼Á½ÖÖÒÅ´«²¡µÄÔÒòÊÇII-6ºÅµÄ³õ¼¶ÂÑĸϸ°ûÔÚ¼õÊýµÚÒ»´Î·ÖÁÑǰÆÚ£¬Á½ÌõXȾɫÌåµÄ·Ç½ãÃõ¥Ìå·¢ÉúÁ˽»²æ»¥»»£¬²úÉúXAbµÄÅä×Ó£®
£¨3£©¼ÙÈç¢ó15ΪÒÒ²¡Ö²¡»ùÒòµÄÔÓºÏ×Ó¡¢Îª±û²¡Ö²¡»ùÒòЯ´øÕߵĸÅÂÊÊÇ$\frac{1}{100}$£¬¢ó15ºÍ¢ó16½á»é£¬ËùÉúµÄ×ÓŮֻ»¼Ò»ÖÖ²¡µÄ¸ÅÂÊÊÇ$\frac{301}{1200}$£¬»¼±û²¡µÄÅ®º¢µÄ¸ÅÂÊÊÇ$\frac{1}{1200}$£®
·ÖÎö ·ÖÎöϵÆ×ͼ£º¡°¼×²¡ÊǰéÐÔÒÅ´«²¡¡±£¬ÇÒ¾ßÓС°¸¸»¼Å®±Ø»¼¡±µÄÌØµã£¬ËµÃ÷¼×²¡ÊÇXȾɫÌåÏÔÐÔÒÅ´«²¡£»¢ò-6ºÍ¢ò-7¶¼²»»¼ÒÒ²¡£¬µ«ËûÃÇÓл¼ÒÒ²¡µÄ¶ù×Ó£¬ËµÃ÷ÒÒ²¡ÊÇÒþÐÔÒÅ´«²¡£¬ÓÖÒÑÖª¡°¢ò-7²»Ð¯´øÒÒ²¡µÄÖ²¡»ùÒò¡±£¬Òò´ËÒÒ²¡ÎªXȾɫÌåÒþÐÔÒÅ´«²¡£»¢ó-10ºÍ¢ó-11¶¼²»»¼±û²¡£¬µ«ËûÃÇÓÐÒ»¸ö»¼¸Ã²¡µÄÅ®¶ù£¬¼´¡°ÎÞÖÐÉúÓÐΪÒþÐÔ£¬ÒþÐÔ¿´Å®²¡£¬Å®²¡ÄÐÕý·Ç°éÐÔ¡±£¬ËµÃ÷±û²¡Êdz£È¾É«ÌåÒþÐÔÒÅ´«²¡£®
½â´ð ½â£º£¨1£©ÓÉÒÔÉÏ·ÖÎö¿ÉÖª£¬¼×Ϊ°éXȾɫÌåÏÔÐÔÒÅ´«²¡£¬ÒÒΪ°éXȾɫÌåÒþÐÔÒÅ´«²¡£¬±ûΪ³£È¾É«ÌåÒþÐÔÒÅ´«²¡£®¸ù¾Ý1ºÅÖ»»¼¼×²¡£¬¹Ê»ùÒòÐÍΪXABY£¬1ºÅµÄXABȾɫÌå´«µÝ¸ø6ºÅ£¬Í¬Ê±¸ù¾Ý12ºÅÖ»»¼ÒÒ²¡µÄÄк¢£¬ËµÃ÷»ùÒòÐÍΪXabY£¬¶ø12ºÅÖеÄXȾɫÌåÒ²À´×Ô6ºÅ£¬Òò´Ë6ºÅµÄ»ùÒòÐÍΪDDXABXab»òDdXABXab£®
£¨2£©¹ØÓڼײ¡ºÍÒÒ²¡£¬¢ò-6µÄ»ùÒòÐÍΪXABXab£¬¢ò-7µÄ»ùÒòÐÍΪXaBY£¬¢ó-13»¼¼×ºÍÒÒÁ½ÖÖÒÅ´«²¡£¬Æä»ùÒòÐÍΪXAbY£¬Òò´Ë¢ó-13»¼Á½ÖÖÒÅ´«²¡µÄÔÒòÊÇII-6ºÅµÄ³õ¼¶ÂÑĸϸ°ûÔÚ¼õÊýµÚÒ»´Î·ÖÁÑǰÆÚ£¬Á½ÌõXȾɫÌåµÄ·Ç½ãÃõ¥Ìå·¢ÉúÁ˽»²æ»¥»»£¬²úÉúXAbµÄÅä×Ó£®
£¨3£©¸ù¾ÝÌâÒâ¿ÉÖª£¬15ºÅµÄ»ùÒòÐÍΪ$\frac{1}{100}$DdXaBXab£¬16ºÅµÄ»ùÒòÐͼ°¸ÅÂÊΪ$\frac{1}{3}$DDXaBY¡¢$\frac{2}{3}$DdXaBY£¬µ¥¶À¼ÆË㣬ºó´ú»¼±û²¡µÄ¸ÅÂÊ=$\frac{1}{100}¡Á\frac{2}{3}¡Á\frac{1}{4}=\frac{1}{600}$£¬Õý³£µÄ¸ÅÂÊ=$1-\frac{1}{600}=\frac{599}{600}$£»ºó´ú»¼ÒÒ²¡µÄ¸ÅÂÊΪ$\frac{1}{4}$£¬Õý³£µÄ¸ÅÂÊΪ$\frac{3}{4}$£®Òò´Ë£¬Ö»»¼Ò»ÖÖ²¡µÄ¸ÅÂÊ=$\frac{599}{600}¡Á\frac{1}{4}+\frac{1}{600}¡Á\frac{3}{4}=\frac{301}{1200}$£»»¼±û²¡µÄÅ®º¢µÄ¸ÅÂÊ=$\frac{1}{100}¡Á\frac{2}{3}¡Á\frac{1}{4}¡Á\frac{1}{2}=\frac{1}{1200}$£®
¹Ê´ð°¸Îª£º
£¨1£©°éXȾɫÌåÏÔÐÔÒÅ´« ³£È¾É«ÌåÒþÐÔÒÅ´« DDXABXab»òDdXABXab
£¨2£©II-6ºÅµÄ³õ¼¶ÂÑĸϸ°ûÔÚ¼õÊýµÚÒ»´Î·ÖÁÑǰÆÚ£¬Á½ÌõXȾɫÌåµÄ·Ç½ãÃõ¥Ìå·¢ÉúÁ˽»²æ»¥»»£¬²úÉúXAbµÄÅä×Ó
£¨3£©$\frac{301}{1200}$ $\frac{1}{1200}$
µãÆÀ ±¾Ìâ¾ßÓÐÒ»¶¨µÄÄѶȺÍ×ÛºÏÐÔ£¬¿¼²éÁ˰éÐÔÒÅ´«¡¢»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉÒÔ¼°»ùÒòÁ¬Ëø½»»»µÈÏà¹ØÖªÊ¶£¬ÒâÔÚ¿¼²é¿¼ÉúµÄ·ÖÎöÀí½âÄÜÁ¦ºÍÓ¦ÓÃÅжÏÄÜÁ¦£®¿¼ÉúÒªÄܹ»½áºÏϵÆ×ͼ£¬³ä·ÖÀûÓÃÌâ¸ÉÖÐÒÑÖªÌõ¼þÅжÏÒÅ´«·½Ê½£»ÕÆÎÕÒÅ´«²¡»¼²¡ÂʼÆËãµÄÒ»°ã·½·¨£¬²¢ÒªÇó¿¼Éú¾ßÓÐÒ»¶¨µÄÊý¾Ý´¦ÀíÄÜÁ¦£®
| A£® | B£® | C£® | D£® |
| A£® | ÅàÓýÎÞ×ÓÎ÷¹ÏÊÇÀûÓÃÔÓ½»ÓýÖÖµÄÔÀí | |
| B£® | ÅàÓý°Ë±¶ÌåСºÚÂóÊÇÀûÓÃȾɫÌå±äÒìµÄÔÀí | |
| C£® | ÓÃÀ´Éú²úÇàÃ¹ËØµÄ¾úÖÖµÄÑ¡ÓýÔÀíºÍ¿¹³æÃÞÓýÖÖµÄÔÀíÏàͬ | |
| D£® | µ¥±¶ÌåÓýÖÖ¿ÉÒÔËõ¶ÌÓýÖÖÄêÏÞ£¬µ«ÊǺó´ú²»ÄÜÎȶ¨ÒÅ´« |
| ×é±ð | Ç×±¾×éºÏ | F1µÄ±íÏÖÐͼ°±ÈÀý | |||||
| ×Ï»¨ ¿íÒ¶ | ·Û»¨ ¿íÒ¶ | °×»¨ ¿íÒ¶ | ×Ï»¨ ÕÒ¶ | ·Û»¨ ÕÒ¶ | °×»¨ ÕÒ¶ | ||
| ¼× | ×Ï»¨¿íÒ¶¡Á×Ï»¨ÕÒ¶ | $\frac{9}{32}$ | $\frac{3}{32}$ | $\frac{4}{32}$ | $\frac{9}{32}$ | $\frac{3}{32}$ | $\frac{4}{32}$ |
| ÒÒ | ×Ï»¨¿íÒ¶¡Á°×»¨¿íÒ¶ | $\frac{9}{16}$ | $\frac{3}{16}$ | 0 | $\frac{3}{16}$ | $\frac{1}{16}$ | 0 |
| ±û | ·Û»¨¿íÒ¶¡Á·Û»¨ÕÒ¶ | 0 | $\frac{3}{8}$ | $\frac{1}{8}$ | 0 | $\frac{3}{8}$ | $\frac{1}{8}$ |
£¨2£©Ð´³ö¼×¡¢ÒÒÁ½¸öÔÓ½»×éºÏÖÐÇ×±¾×Ï»¨¿íÒ¶Ö²ÖêµÄ»ùÒòÐÍ£®¼×£ºAaBbCc£» ÒÒ£ºAABbCc£®
£¨3£©ÈôÖ»¿¼ÂÇ»¨É«µÄÒÅ´«£¬ÒÒ×é²úÉúµÄF1ÖÐÈ«²¿×Ï»¨Ö²Öê×Ô½»£¬Æä×Ó´úÖ²ÖêµÄ»ùÒòÐ͹²ÓÐ9ÖÖ£¬ÆäÖзۻ¨Ö²ÖêËùÕ¼µÄ±ÈÀýΪ$\frac{1}{8}$£®
£¨4£©¸ÃÖ²Öê×ÔȻ״̬ϼÈÄÜ×ÔÓɽ»ÅäÓÖÄÜÏ໥ÔÓ½»£¬ÈôÖ»¿¼ÂÇҶƬ¿í¶ÈµÄÒÅ´«£¬ÏÖ½«´¿ÖÖ¿íÒ¶ÓëÕÒ¶ÔÓ½»£¬²úÉúµÄF1´úÔÙ×Ô½»²úÉúF2´ú£®
¢ÙÈô½«F2´úÖÐËùÓÐÕÒ¶³ýÈ¥£¬ÈÿíÒ¶Ö²Öê×ÔÓɽ»Å䣬²úÉúF3´ú£®ÎÊF3´úÖпíÒ¶ÓëÕÒ¶Ö²ÖêµÄ±ÈÀýÊÇ8£º1£®
¢ÚÈôF2´úÖÐÕÒ¶Ö²Öê²»³ýÈ¥£¬ÈÃÖ²Öê½øÐÐ×ÔÓɽ»Å䣬ÔòF3ÖпíÒ¶£ºÕÒ¶=3£º1£®
| A£® | ÒÔÓñÃ×ΪÖ÷ʳµÄÈËÓ¦´ÓÆäËûʳÎïÖжîÍâ²¹³äÀµ°±Ëá | |
| B£® | ÂóÑ¿ÌÇÊǹ¹³ÉÏËÎ¬ËØµÄ»ù±¾µ¥Î» | |
| C£® | ·¹ºó4Сʱ£¬¸ÎÌÇԺͼ¡ÌÇÔ·Ö½âÒÔά³ÖѪÌÇÎȶ¨ | |
| D£® | ÌÇÀàÎïÖʶ¼ÊÇϸ°ûÄÚµÄÄÜÔ´ÎïÖÊ |
| A£® | 798 2 2 | B£® | 798 12 10 | ||
| C£® | 799 1 1 | D£® | 799 11 9 |