ÌâÄ¿ÄÚÈÝ
18£®ºûµûΪZWÐÔ±ð¾ö¶¨µÄ¶þ±¶Ì壨ȾɫÌåΪ2N£©£¬×ÔÈ»½çÖкûµû³áµÄÑÕÉ«Óа×É«ºÍ»ÒÉ«Á½ÖÖ£¬ÓɵÈλ»ùÒòA/a¿ØÖÆ£¬Ñо¿Õß½øÐÐÈçÏÂÔÓ½»ÊµÑ飺ÔÓ½»×éºÏÒ»£º¡â»Ò³á¡Á¡á°×³á¡úF1¾ùΪ»Ò³á
ÔÓ½»×éºÏ¶þ£º£º¡â°×³á¡Á¡á»Ò³á¡úF1¾ùΪ»Ò³á
»Ø´ðÏÂÁÐÎÊÌ⣺
£¨1£©ÈôÒªÑо¿¸ÃºûµûµÄ»ùÒò×飬ÐèÒª²â¶¨N+1ÌõȾɫÌåÉÏDNAµÄÐòÁУ®
£¨2£©Í¨¹ýÔÓ½»ÊµÑé¿ÉÒÔÈ·¶¨£¬A/aλÓÚ³£È¾É«ÌåÉÏ£®
£¨3£©ÔÓ½»×éºÏÒ»µÄF1Ëæ»ú½»ÅäµÃµ½F2£¬Ñ¡³öF2ÖеĻҳá¸öÌåÔÙËæ»ú½»ÅäµÃµ½µÄ×Ó´ú±íÏÖÐͼ°±ÈÀýΪ»Ò³á£º°×³á=8£º1£®
£¨4£©Ñо¿ÈËÔ±·¢ÏÖ»ùÒòBµÄ²úÎïÄܹ»ÒÖÖÆA»ùÒò±í´ï£¬ËùÒÔ½«Ò»¸öB»ùÒòµ¼Èë»ùÒòÐÍΪaaµÄÊܾ«ÂѵÄȾɫÌåÉÏ£¬Êܾ«ÂÑ·¢Óý³Éºûµû¼×£®
¢ÙÈô¼×Ϊ´ÆÐÔ£¬½«ÆäÓë´¿ºÏ»Ò³áÔÓ½»£¬×Ó´ú±íÏÖÐͼ°±ÈÀý¿ÉÄÜÓÐ3ÖÖÇé¿ö£¬Èô×Ó´ú±íÏÖÐͼ°±ÈÀýΪ»ÒÉ«´ÆÐÔ£º°×É«ÐÛÐÔ=1£º1£¬ÔòB»ùÒòµ¼ÈëÁËWȾɫÌåÉÏ£®
¢ÚÈô¼×ΪÐÛÐÔ£¬ÄÜ·ñͨ¹ýÒ»´ÎÔÓ½»È·¶¨B»ùÒòÊǵ¼ÈëÐÔȾɫÌ廹Êdz£È¾É«ÌåÉÏ£¿ÈôÄÜ£¬Çëд³öËùÑ¡´ÆÐÔ¸öÌå»ùÒòÐͼ°ÅжÏÒÀ¾Ý£»Èô²»ÄÜ£¬Çë˵Ã÷ÔÒò£®²»ÄÜÎÞÂÛBµ¼ÈëÄÇÒ»ÌõȾɫÌåÉÏ£¬×Ó´ú±íÏÖÐͼ°±ÈÀý¾ùÏàͬ£®
·ÖÎö 1¡¢ÓÉÌâÒâÖª£¬ºûµûµÄÐÔ±ð¾ö¶¨ÊÇZWÐÍ£¬Z¡¢WÊÇÒìÐÍͬԴȾɫÌ壬ÆäÉϵÄÒÅ´«ÐÅÏ¢²»ÍêÈ«Ïàͬ£¬Òò´ËÑо¿¸ÃºûµûµÄ»ùÒò×飬ÐèÒª²â¶¨N+1ÌõȾɫÌåÉϵļî»ùÐòÁУ»´ÆÐÔºûµûµÄÐÔȾɫÌå×éÐÍÊÇZW£¬ÐÛÐÔºûµûµÄÐÔȾɫÌå×éÐÍÊÇZZ£®
2¡¢Î»ÓÚÐÔȾɫÌåÉϵĻùÒò¿ØÖƵÄÐÔ×´µÄÒÅ´«×ÜÊÇÓëÐÔ±ðÏàÁ¬£¬½Ð°éÐÔÒÅ´«£»Î»ÓÚ³£È¾É«ÌåÉϵĻùÒò¿ØÖƵÄÐÔ×´µÄÒÅ´«ÓëÐÔ±ðÎ޹أ¬Òò´Ë¿ÉÒÔÓÃÕý½»ºÍ·´½»µÄ·½·¨ÅжϻùÒòÊÇÔÚÐÔȾɫÌåÉÏ»¹Êdz£È¾É«ÌåÉÏ£®
½â´ð ½â£º£¨1£©ÓÉ·ÖÎö¿ÉÖª£¬Ñо¿¸ÃºûµûµÄ»ùÒò×飬ÐèÒª²â¶¨N+1ÌõȾɫÌåÉϵÄDNAÐòÁУ®
£¨2£©ÓÉÌâ¸ÉÐÅÏ¢¿ÉÖª£¬Õý½»¡¢·´½»µÄ½á¹ûÏàͬ£¬¶¼±íÏÖΪ³¤³á£¬ËµÃ÷»Ò³á¶Ô°×³áÊÇÏÔÐÔÐÔ×´£¬ÇÒ»ùÒòλÓÚ³£È¾É«ÌåÉÏ£¬Ç×±¾»ùÒòÐÍÊÇAA¡Áaa£®
£¨3£©×ÓÒ»´úµÄ»ùÒòÐÍÊÇAa£¬×ÓÒ»´úËæ»ú½»ÅäµÃµ½×Ó¶þ´ú£¬»ùÒòÐͼ°±ÈÀýÊÇAA£ºAa£ºaa=1£º2£º1£¬×Ó¶þ´ú»Ò³áºûµûµÄ»ùÒòÐÍÊÇAA¡¢Aa£¬Ç°ÕßÕ¼$\frac{1}{3}$£¬ºóÕßÕ¼$\frac{2}{3}$£¬F2ÖеĻҳá¸öÌåÔÙËæ»ú½»ÅäµÃµ½µÄ×Ó´úµÄ°×³áºûµûµÄ±ÈÀýÊÇaa=$\frac{2}{3}¡Á\frac{2}{3}¡Á\frac{1}{4}=\frac{1}{9}$£¬»Ò³áºûµûµÄ±ÈÀýÊÇ$\frac{8}{9}$£®
£¨4£©¢ÙB»ùÒòµ¼Èë»ùÒòÐÍΪaaµÄÊܾ«ÂѵÄȾɫÌåÉÏ£¬¿ÉÄܵ¼ÈëÔÚ³£È¾É«ÌåÉÏ¡¢ZȾɫÌåÉÏ¡¢WȾɫÌåÉÏ£¬Òò´ËÈô¼×Ϊ´ÆÐÔ£¬½«ÆäÓë´¿ºÏ»Ò³áÔÓ½»£¬×Ó´ú±íÏÖÐͼ°±ÈÀý¿ÉÄÜÓÐ3ÖÖ£»Èç¹ûB»ùÒòµ¼ÈëÁËWȾɫÌåÉÏ£¬Ôò¼×ºûµûµÄ»ùÒòÐÍÊÇaazWB£¬´¿ºÏ»Ò³áÐÛºûµûµÄ»ùÒòÐÍÊÇAAZZ£¬ÔòÔÓ½»×ÓÒ»´úµÄ»ùÒòÐÍÊÇAaZWB¡¢AaZZ±ÈÀýÊÇ1£º1£¬Ç°Õß±íÏÖΪ°×³á´ÆÐÔ£¬ºóÕßÊǻҳáÐÛÐÔ£®
¢ÚÈç¹û¼×ÊÇÐÛÐÔ£¬B»ùÒòµ¼È볣ȾɫÌ壨aaB£©»¹Êǵ¼ÈëZȾɫÌ壨aaZBz£©£¬Óë´¿ºÏ»Ò³á´ÆÐÔºûµû£¨AAZW£©ÔÓ½»£¬×Ó´ú±íÏÖÐͼ°±ÈÀý¾ùÏàͬ£¬Òò´Ë²»ÄÜͨ¹ýÒ»´ÎÔÓ½»È·¶¨B»ùÒòÊǵ¼ÈëÐÔȾɫÌ廹Êdz£È¾É«ÌåÉÏ£®
¹Ê´ð°¸Îª£º
£¨1£©N+1
£¨2£©³£
£¨3£©»Ò³á£º°×³á=8£º1
£¨4£©¢Ù3 °×É«´ÆÐÔ£º»ÒÉ«ÐÛÐÔ=1£º1
¢Ú²»ÄÜÎÞÂÛBµ¼ÈëÄÇÒ»ÌõȾɫÌåÉÏ£¬×Ó´ú±íÏÖÐͼ°±ÈÀý¾ùÏàͬ
µãÆÀ ±¾ÌâµÄ֪ʶµãÊÇ»ùÒò·ÖÀ붨ÂɵÄʵÖÊ£¬ÐÔ±ð¾ö¶¨ºÍ°éÐÔÒÅ´«£¬Ö¼ÔÚ¿¼²éѧÉúÀí½âËùѧ֪ʶµÄÒªµã£¬°ÑÎÕ֪ʶµÄÄÚÔÚÁªÏµ²¢Ñ§»á¸ù¾ÝÌâ¸ÉÐÅÏ¢ÓÃÕýÍÆ·¨½â´ðÎÊÌâ¼°ÓÃÑÝÒïÍÆÀíµÄÔ¤ÆÚʵÑé½á¹û²¢»ñÈ¡½áÂÛ£®
| A£® | ¼¤ËØÊÇͨ¹ýÌåÒº¶¨Ïò´«Êäµ½°Ðϸ°û»ò°ÐÆ÷¹ÙµÄÐÅÏ¢·Ö×Ó | |
| B£® | ÄÚ»·¾³Öз¢ÉúµÄ¿¹ÌåÓ벡ÔÌåµÄ½áºÏ£¬¿ÉÒÖÖÆ²¡ÔÌåµÄ·±Ö³»ò¶ÔÈËÌåϸ°ûµÄÕ³¸½ | |
| C£® | ά³ÖÄÚ»·¾³ÖеÍNa+¡¢¸ßK+Ũ¶ÈµÄÏà¶ÔÎȶ¨ÓÐÀûÓÚά³ÖÉñ¾Ï¸°ûµÄÕý³£ÐË·ÜÐÔ | |
| D£® | ÄÚ»·¾³Ö÷ÒªÓÉѪ½¬¡¢×éÖ¯ÒººÍÁܰÍ×é³É£¬¼¤ËØ¡¢Í»´¥Ð¡ÅݺͰ±»ùËá¶¼ÊôÓÚÄÚ»·¾³³É·Ö |
£¨¡¡¡¡£©
| A£® | ¸ÃÖ²Îï»ýÀÛÓлúÎïËÙÂÊ×î¿ìµÄʱ¿ÌÊǵÚ1hʱ | |
| B£® | 5¡«7hºôÎüËÙÂʼӿìµÄÖ÷ÒªÔÒòÊÇÑõÆøº¬Á¿Ôö¶à | |
| C£® | µÚ9hÒ¶Èâϸ°ûµÄ¹âºÏËÙÂʵÈÓÚºôÎüËÙÂÊ | |
| D£® | 10hºó¹âºÏËÙÂÊΪ0µÄÔÒò¿ÉÄÜÊÇÍ£Ö¹¹âÕÕ |
| A£® | nµÄȾɫÖÊ¿ªÊ¼¸´ÖÆ | |
| B£® | ÈÚºÏϸ°ûDNAº¬Á¿ÊÇnµÄ2±¶ | |
| C£® | nµÄȾɫÖÊ¿ªÊ¼Äý¼¯ | |
| D£® | ÈںϺóÁ½Ï¸°ûÈÔ°´¸÷×ÔµÄϸ°ûÖÜÆÚÔËת |
| A£® | ¾ßÓÐͬԴȾɫÌåµÄÊÇb¡¢c | B£® | ¶¯ÎïÂѳ²¿ÉÄÜͬʱ³öÏÖÒÔÉÏϸ°û | ||
| C£® | cËùʾµÄϸ°ûÖÐÓÐ2¸öËÄ·ÖÌå | D£® | dÖз¢ÉúÁ˵Èλ»ùÒòµÄ·ÖÀë |
| A£® | ÔÚÊýСʱ²»½øÊ³Ê±£¬ÒȵºBϸ°û¾Í»áÔö¼ÓÒȵºËصķÖÃÚÁ¿ | |
| B£® | Çгý¶¯ÎïµÄ¼××´ÏÙ£¬¶¯ÎïѪҺÖеĴټ××´ÏÙ¼¤Ëغͼ××´ÏÙ¼¤Ëض¼»á¼õÉÙ | |
| C£® | µ±Éñ¾ÏËάµÄijһ²¿Î»Êܵ½´Ì¼¤²úÉúÐË·Üʱ£¬Ä¤ÄÚΪÕýµçλ£¬Ä¤ÍâΪ¸ºµç룬µçÁ÷ÔÚĤÄÚÓÉÐ˷ܲ¿Î»Á÷ÏòδÐ˷ܲ¿Î»£¬ÔÚĤÍâÓÉδÐ˷ܲ¿Î»Á÷ÏòÐ˷ܲ¿Î» | |
| D£® | ÐË·ÜÖ»ÄÜÒÔ¾Ö²¿µçÁ÷µÄÐÎʽÔÚ¶à¸öÉñ¾ÔªÖ®¼äµ¥Ïò´«µÝ |