ÌâÄ¿ÄÚÈÝ

10£®¶Ô¶þ±¶ÌåÖ²ÖêÓñÃ×£¨2n=20£©½øÐÐÒÅ´«Ñ§Ñо¿·¢ÏÖ£¬ÓÐÒ»ÖÖµ¥±¶ÌåÖ²Ö꣨2n-1£©±ÈÕý³£Ö²ÖêÉÙÒ»Ìõ5ºÅȾɫÌ壬³ÆÖ®Îª5ºÅµ¥ÌåÖ²Ö꣮»Ø´ðÏÂÁÐÎÊÌ⣺
£¨1£©5ºÅµ¥ÌåÖ²ÖêµÄÐγÉÊÇȾɫÌå±äÒìµÄ½á¹û£®¸ÃÖÖ±äÒìÀàÐÍÄÜ£¨Ìî¡°ÄÜ¡±»ò¡°²»ÄÜ¡±ÎªÉúÎï½ø»¯Ìṩԭ²ÄÁÏ£®
£¨2£©5ºÅµ¥ÌåÖ²ÖêÔÚ¼õÊýµÚÒ»´Î·ÖÁÑʱÄÜÐγÉ9¸öËÄ·ÖÌ壬Èç¹û¸ÃÖ²ÖêÄܹ»²úÉúÊýÄ¿ÏàµÈµÄnÐͺÍn-1ÐÍÅä×Ó£¬ÀíÂÛÉÏ×Ô½»ºó´ú£¨Êܾ«ÂÑ£©µÄȾɫÌåÊýÄ¿¼°±ÈÀýΪ20£¨2n£©£º19£¨2n-1£©£º18£¨2n-2£©=1£º2£º1£®
£¨3£©ÈçͼΪ¿ÆÑÐÈËÔ±ÀûÓÃ5ºÅµ¥ÌåÖ²Öê½øÐеÄÔÓ½»ÊµÑ飮

£¨×¢£º5ºÅµ¥ÌåÖ²Öêϸ°ûÔÚ¼õÊý·ÖÁÑʱ£¬Î´Áª»áµÄȾɫÌåÒ׳öÏÖ¶ªÊ§ÏÖÏ󣮣©
Çë´Ó5ºÅµ¥ÌåÖ²Öê²úÉú²»Í¬ÀàÐÍÅä×ÓµÄÊýÄ¿¼°Éú»îÁ¦²îÒìµÈ·½Ãæ¶ÔʵÑé½á¹û×÷³öºÏÀí½âÊÍ£®µ¥Ìå¡âÔÚ¼õÊý·ÖÁÑʱ£¬ÐγɵÄn-1ÐÍÅä×Ó¶àÓÚnÐÍÅä×Óµ¼ÖÂʵÑéÒ»½á¹ûÖе¥ÌåÖ²ÖêËùÕ¼±ÈÀý´ó£»n-1ÐÍÐÛÅä×Ó¶ÔÍâ½ç»·¾³¸üÃô¸Ð£¬Éú»îÁ¦²îµ¼ÖÂʵÑé¶þ½á¹ûÖе¥ÌåÖ²ÖêËùÕ¼±ÈÀýС£®

·ÖÎö 1¡¢È¾É«Ìå±äÒì°üÀ¨È¾É«Ìå½á¹¹¡¢ÊýÄ¿µÄ¸Ä±ä£®È¾É«Ìå½á¹¹µÄ±äÒìÖ÷ÒªÓÐȱʧ¡¢Öظ´¡¢µ¹Î»¡¢Ò×λËÄÖÖÀàÐÍ£®È¾É«ÌåÊýÄ¿±äÒì¿ÉÒÔ·ÖΪÁ½ÀࣺһÀàÊÇϸ°ûÄÚ¸ö±ðȾɫÌåµÄÔö¼Ó»ò¼õÉÙ£¬ÁíÒ»ÀàÊÇϸ°ûÄÚȾɫÌåÊýÄ¿ÒÔȾɫÌå×éµÄÐÎʽ³É±¶µØÔö¼Ó»ò¼õÉÙ£®
2¡¢¸ù¾ÝÌâÒâºÍͼ±í·ÖÎö¿ÉÖª£ºµ¥Ìå¡âÔÚ¼õÊý·ÖÁÑʱ£¬ÐγɵÄn-1ÐÍÅä×Ó¶àÓÚnÐÍÅä×Ó£»n-1ÐÍÅä×Ó¶ÔÍâ½ç»·¾³Ãô¸Ð£¬ÓÈÆäÊÇÆäÖеÄÐÛÅä×ÓÓýÐԺܵͣ®

½â´ð ½â£º£¨1£©5ºÅµ¥ÌåÖ²ÖêµÄÐγÉÊÇȾɫÌåÊýÄ¿±äÒìµÄ½á¹û£®¸ÃÖÖ±äÒìÀàÐ͵ÄÒÅ´«ÎïÖÊ·¢ÉúÁ˸ı䣬ËùÒÔÄÜΪÉúÎï½ø»¯Ìṩԭ²ÄÁÏ£®
£¨2£©ÓÉÓÚ¶þ±¶ÌåÖ²ÖêÓñÃ×£¨2n=20£©£¬º¬ÓÐ10¶ÔͬԴȾɫÌ壬¶ø5ºÅµ¥ÌåÖ²Öê±ÈÕý³£Ö²ÖêÉÙÒ»Ìõ5ºÅȾɫÌ壬ֻº¬9¶ÔͬԴȾɫÌ壬ËùÒÔ5ºÅµ¥ÌåÖ²ÖêÔÚ¼õÊýµÚÒ»´Î·ÖÁÑʱֻÄÜÐγÉ9¸öËÄ·ÖÌ壬Èç¹û¸ÃÖ²ÖêÄܹ»²úÉúÊýÄ¿ÏàµÈµÄnÐÍ£¨º¬10ÌõȾɫÌ壩ºÍn-1ÐÍ£¨º¬9ÌõȾɫÌ壩Åä×Ó£¬ÀíÂÛÉÏ×Ô½»ºó´ú£¨Êܾ«ÂÑ£©µÄȾɫÌåÊýÄ¿¼°±ÈÀýΪ20£¨2n£©£º19£¨2n-1£©£º18£¨2n-2£©=1£º2£º1£®
£¨3£©¸ù¾ÝÌâÒâºÍͼʾ·ÖÎö¿ÉÖª£ºµ¥Ìå¡âÔÚ¼õÊý·ÖÁÑʱ£¬ÐγɵÄn-1ÐÍÅä×Ó¶àÓÚnÐÍÅä×Óµ¼ÖÂʵÑéÒ»½á¹ûÖе¥ÌåÖ²ÖêËùÕ¼±ÈÀý´ó£»n-1ÐÍÐÛÅä×Ó¶ÔÍâ½ç»·¾³¸üÃô¸Ð£¬Éú»îÁ¦²îµ¼ÖÂʵÑé¶þ½á¹ûÖе¥ÌåÖ²ÖêËùÕ¼±ÈÀýС£®
¹Ê´ð°¸Îª£º
£¨1£©È¾É«Ìå±äÒì          ÄÜ
£¨2£©9         20£¨2n£©£º19£¨2n-1£©£º18£¨2n-2£©=1£º2£º1
£¨3£©µ¥Ìå¡âÔÚ¼õÊý·ÖÁÑʱ£¬ÐγɵÄn-1ÐÍÅä×Ó¶àÓÚnÐÍÅä×Óµ¼ÖÂʵÑéÒ»½á¹ûÖе¥ÌåÖ²ÖêËùÕ¼±ÈÀý´ó£»n-1ÐÍÐÛÅä×Ó¶ÔÍâ½ç»·¾³¸üÃô¸Ð£¬Éú»îÁ¦²îµ¼ÖÂʵÑé¶þ½á¹ûÖе¥ÌåÖ²ÖêËùÕ¼±ÈÀýС

µãÆÀ ±¾Ì⿼²éÁ˼õÊý·ÖÁѺÍȾɫÌå±äÒìµÄÓйØÖªÊ¶£¬ÒªÇó¿¼ÉúÄܹ»ÕÆÎÕ¼õÊý·ÖÁѹý³ÌÖÐȾɫÌåµÄÐÐΪ±ä»¯£¬ÕÆÎÕȾɫÌåÊýÄ¿±äÒìµÄÁ½ÖÖÀàÐÍ£¬ÔÙ½áºÏ±í¸ñÊý¾Ý׼ȷ·ÖÎöÅжϣ®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
5£®¹ûÓ¬µÄºìÑÛÐÔ×´ÓÉÁ½¶Ô¶ÀÁ¢ÒÅ´«µÄ»ùÒò¿ØÖÆ£¬ºìÑÛÐγɵĻúÖÆÈçͼËùʾ£®ÊµÑéÊÒÑ¡ÓÃÁ½Ö»ºìÑÛ´Æ¡¢ÐÛ¹ûÓ¬½»Å䣬²úÉúµÄºó´úÈç±íËùʾ£®Çë»Ø´ðÏÂÁÐÎÊÌ⣺
ÐÔ±ðºìÑÛ·ÛºìÑÛ°×ÑÛ
F1´Æ620
ÐÛ314
£¨1£©Ç×´ú´Æ¹ûÓ¬µÄ»ùÒòÐÍΪAaXBXb£®F1´ÆÐÔºìÑÛ¹ûÉþÖд¿ºÏ×ÓÓëÔÓºÏ×ӵıÈÀýΪ1£º5£®ÓÉͼ¿ÉÖª»ùÒòÓëÐÔ×´µÄ¹ØÏµÊÇ»ùÒòͨ¹ý¿ØÖÆÃ¸µÄºÏ³ÉÀ´¿ØÖÆ´úл¹ý³Ì£¬½ø¶ø¿ØÖÆÉúÎïµÄÐÔ×´£®
£¨2£©ÈÃF1´ÆÐÛ¹ûÓ¬Ëæ»ú½»Å䣬F2ÐÛ¹ûÓ¬µÄ±íÏÖÐͼ°±ÈÀýΪºìÑÛ£º·ÛºìÑÛ£º°×ÑÛ=9£º3£º4£®
£¨3£©¹ûÓ¬ÌåÄÚ»¹ÓÐÒ»¶Ô»ùÒòTºÍt£¬ÒÑÖªÕâ¶Ô»ùÒòÓëA¡¢a»ùÒòÔÚ¼õÊý·ÖÁÑʱ¿ÉÒÔ×ÔÓÉ×éºÏ£¬ÇÒµ±t»ùÒò´¿ºÏʱ»áʹ´Æ¹ûÓ¬ÐÔ·´×ª³É²»ÓýÐÛ¹ûÓ¬£¬¶ÔÐÛÐÔÔòÎÞÓ°Ï죮ʵÑéÈËÔ±»ñµÃÒ»Ö»´¿ºÏÏÔÐÔºìÑ۴ƹûÓ¬£¬ÏëҪͨ¹ýÔÓ½»ÊµÑé̽¾¿T¡¢tÊÇλÓÚXȾɫÌåµÄÌØÓÐÇø¶ÎÉÏ»¹ÊÇλÓÚ³£È¾É«ÌåÉÏ£¬Çëд³öʵÑé·½·¨¼°Ô¤ÆÚ½á¹û£¨×¢£ºÊµÑéÊÒÖÐÓÐÆäËû´¿ÖÖÑÛÉ«¹ûÓ¬Èô¸É£©£®
ʵÑé·½·¨£ºÈøô¿ºÏÏÔÐÔºìÑ۴ƹûÓ¬Óë´¿ºÏÒþÐÔ°×ÑÛÐÛ¹ûÓ¬½øÐв⽻µÃF1£¬F1´ÆÐÛ½»ÅäµÃF2£¬¹Û²ìF2µÄÐÔ±ð±ÈÀý£®
Ô¤ÆÚ½á¹û£º¢ÙÈôF2´ÆÐÔ£ºÐÛÐÔ=3£º5£¬Ôò»ùÒòTºÍtλÓÚ³£È¾É«ÌåÉÏ£®
¢ÚÈôF2´ÆÐÔ£ºÐÛÐÔ=1£º1£¬Ôò»ùÒòTºÍtλÓÚXȾɫÌåÌØÓеÄÇø¶ÎÉÏ£®
15£®¶þ±¶ÌåÖ²ÎïÇàÝï²úÉúµÄÇàÝïËØÊÇÖÎÁÆÅ±¼²µÄÖØÒªÒ©ÎÒÑÖª´ÆÐÛͬÖêµÄÒ°ÉúÐÍÇàÝï°×Çà‚‰¸Ñ£¨A£©¶Ô×Ϻì¸Ñ£¨a£©ÎªÏÔÐÔ£¬Ï¡ÁÑÒ¶£¨B£©¶Ô·ÖÁÑÒ¶£¨b£©ÎªÏÔÐÔ£¬Á½¶ÔÐÔ×´¶ÀÁ¢ÒÅ´«£®Çë»Ø´ðÒÔÏÂÏà¹ØÎÊÌ⣺
£¨1£©¾ßÓÐÉÏÊöÁ½¶ÔÏà¶ÔÐÔ×´µÄÒ°ÉúÐÍÇàÝï×î¶àÓÐ9ÖÖ»ùÒòÐÍ£»ÈôF1´úÖÐ×Ϻì¸Ñ·ÖÁÑÒ¶Ö²ÖêËùÕ¼±ÈÀýΪ$\frac{1}{8}$£¬ÔòÆäÔÓ½»Ç×±¾µÄ»ùÒòÐÍ×éºÏΪAaBb¡ÁaaBb£¨»òAaBb¡ÁAabb£©£®
£¨2£©¿ØÖÆÇàÝïËØÖê¸ßµÄµÈλ»ùÒòÓÐ4¶Ô£¬·Ö±ðλÓÚ4¶ÔͬԴȾɫÌåÉÏ£¬ÆäÖÐÏÔÐÔ»ùÒò¶ÔÖê¸ßµÄ×÷ÓÃÏàµÈ£¬ÇÒ¾ßÓеþ¼ÓЧӦ£®ÒÑÖª»ùÒòÐÍΪccddeeffµÄÇàÝïÖê¸ßΪ10cm£¬»ùÒòÐÍΪCCDDEEFFµÄÇàÝïÖê¸ßΪ26cm£®Èç¹ûÒÑÖªÇ×´úÇàÝïÖê¸ßÊÇ10cmºÍ26cm£¬ÔòF1ÇàÝïÖê¸ßÊÇ18cm£¬F2ÖÐÖê¸ß²»Í¬ÓÚÇ×´úµÄ¸ÅÂÊÊÇ$\frac{127}{128}$£®
£¨3£©¿ÆÑ§¼Ò·¢ÏÖһϡÁÑÒ¶µÄÇàÝïËØÖ²ÖêM£¨´¿ºÏ×Ó£¬Ö²ÖêÄÜÕý³£·¢Óý²¢·±Ö³ºó´ú£©£¬µ«Æä6ºÅȾɫÌåΪÈýÌ壨6ºÅȾɫÌåÓÐ3Ìõ£©£®
¢ÙÓÃM×÷ĸ±¾£¬·ÖÁÑÒ¶¶þ±¶Ìå×÷¸¸±¾½øÐÐÔÓ½»£¬ÀíÂÛÉÏ˵F1ÖÐÈýÌåÖ²Ö꣨N£©ºÍ¶þ±¶ÌåÖ²ÖêµÄ±ÈÀýΪ1£º1£®
¢ÚΪ̽¾¿B¡¢b»ùÒòÊÇ·ñλÓÚ6ºÅ°ÑÉ«ÌåÉÏ£¬Ä³¿ÎÍâ»î¶¯Ð¡×éµÄͬѧÉè¼ÆÁËÒ»×éʵÑ飬¼ÙÉèB¡¢b»ùÒò²»ÔÚ6ºÅȾɫÌåÉÏ£¬ÔòÓÃÖ²ÖêN×Ô½»£¬×Ó´úÏ¡ÁÑÒ¶Óë·ÖÁÑÒ¶Ö²ÖêµÄ±ÈÀýΪ3£º1£®
19£®¦ËÊɾúÌåÓм«Ç¿µÄÇÖȾÄÜÁ¦£¬ÄÜÔÚϸ¾úÖпìËÙ½øÐÐDNA¸´ÖÆ£¬²úÉú×Ó´úÊɾúÌ壬×îÖÕµ¼ÖÂϸ¾úÆÆÁÑ£¨³ÆÎªÈܾú״̬£©£»»òÕßÕûºÏµ½Ï¸¾ú»ùÒò×éÖÐDZ·üÆðÀ´£¬²»²úÉú×Ó´úÊɾúÌ壨³ÆÎªÈÜԭ״̬£©£®ÔÚת»ùÒò¼¼ÊõÖг£ÓæËÊɾúÌå¹¹½¨»ùÒò¿ËÂ¡ÔØÌ壬ʹÆäÔÚÊÜÌåϸ¾úÖдóÁ¿À©ÔöÍâÔ´DNA£¬ÒÔ±¸Ñо¿Ê¹Óã®Ïà¹Ø²Ù×÷ÈçͼËùʾ£¬Çë»Ø´ð£º

£¨1£©ÔÚ¹¹½¨»ùÒò¿ËÂ¡ÔØÌåʱ£¬¿É±»ÊɾúÌåµ°°×Öʰü×°µÄDNA³¤¶ÈԼΪ36¡«51kb£¬Ôò¾­È˹¤¸ÄÔìµÄ¦Ëgtl0ÔØÌå¿É²åÈëµÄÍâÔ´DNAµÄ×î´ó³¤¶ÈΪ7.6kbkb£®Îª»ñµÃ½Ï´óµÄ²åÈëÄÜÁ¦£¬¿Éɾ³ý¦ËÊɾúÌåDNA×é³ÉÖеÄÖв¿£¨º¬¿ØÖÆÈÜÔ­Éú³¤£©ÐòÁÐÒÔËõ¶ÌÆä³¤¶È£®
£¨2£©¹¹½¨»ùÒò¿ËÂ¡ÔØÌåʱ£¬ÐèÓõ½µÄøÊÇÏÞÖÆÃ¸ºÍDNAÁ¬½Óø£®¦ËÊɾúÌåDNAÉÏͨ³£Ã»ÓÐÊʺϵıê¼Ç»ùÒò£¬Òò´ËÈ˹¤¸ÄÔìʱÐè¼Ó×°Êʺϵıê¼Ç»ùÒò£¬Èçͼ¦Ëgtl0ÔØÌåÖеÄimm434»ùÒò£¬¸Ã»ùÒò±àÂëÒ»ÖÖ×èÖ¹¦ËÊɾúÌå½øÈëÈܾú״̬µÄ×è¶ôÎÍâÔ´DNAµÄ²åÈëλÖÃӦλÓÚimm434»ùÒòÖ®ÖУ¨Ö®ÖÐ/Ö®Í⣩£¬Ê¹¾­ÇÖȾÅàÑøºóµÄÊÜÌå¾ú´¦ÓÚÈܾú״̬£¬±íÃ÷Òѳɹ¦µ¼ÈëÄ¿µÄ»ùÒò£®
£¨3£©ºÏ³ÉÊɾúÌåËùÐèµÄС·Ö×ÓÔ­ÁÏÖ÷ÒªÊǰ±»ùËáºÍÍÑÑõºËÜÕËᣮ·ÖÀë´¿»¯ÊɾúÌåÖØ×éDNAʱ£¬½«¾­ÅàÑø10Сʱ×óÓҵĴ󳦸˾ú=ÊɾúÌåµÄÅàÑøÒº³¬ËÙÀëÐÄ£¬´ÓÉÏÇåÒº£¨ÉÏÇåÒº¡¢³ÁµíÎ»ñµÃÊɾúÌ壮

Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com

¾«Ó¢¼Ò½ÌÍø