ÌâÄ¿ÄÚÈÝ
14£®ÖйúÅ®¿ÆÑ§¼ÒÍÀÓ´Ó´»ñ2015Äêŵ±´¶ûÉúÂñҽѧ½±£¬ËýÑÐÖÆµÄ¿¹Å±Ò©ÇàÝïËØÍì¾ÈÁËÊý°ÙÍòÈ˵ÄÉúÃü£¬ÇàÝïËØÊÇ´ÓÖ²Îï»Æ»¨Ý¼´ÖÐÒ©ÇàÝµÄ×é֯ϸ°ûÖÐÌáÈ¡µÄÒ»ÖÖ´úл²úÎҰÉúÐÍÇàÝ2n=18£©µÄÕý³£Ö²Öê°×Çà¸Ñ£¨A£©¶Ô×Ϻì¸Ë£¨a£©ÎªÏÔÐÔ£¬Ï¡ÁÑÒ¶£¨B£©¶Ô·ÖÁÑÒ¶£¨b£©ÎªÏÔÐÔ£¬Á½¶Ô»ùÒò¶ÀÁ¢ÒÅ´«£¬Çë»Ø´ðÏÂÁÐÎÊÌ⣺£¨1£©Èô½«»ùÒòÐÍΪaaBbºÍAaBBµÄÒ°ÉúÐÍÇàÝïÔÓ½»£¬F1ÖеĻùÒòÐÍÓÐ4ÖÖ£»F1ÖлùÒòÐÍaaBbµÄÖ²Öê×Ô½»²úÉúµÄ×Ϻì¸Ë·ÖÁÑÒ¶Ö²Öê±ÈÀý×î¸ß£»Èô¸Ã»ùÒòÐ͵ÄÖ²Öê×Ô½»²úÉúF2£¬F2µÄ»ùÒòÐͼ°Æä±ÈÀýΪaaBB£ºaaBb£ºaabb=1£º2£º1£®
£¨2£©Ä³Ñо¿Ð¡×é½øÐÐÁËÁ½×éÔÓ½»ÊÔÑ飬ÔÓ½»ºóµÃµ½µÄ×Ó´úÊýÁ¿±ÈÈç±í£º
| °×Çà¸ËÏ¡ÁÑÒ¶ | °×Çà¸Ë·ÖÁÑÒ¶ | ×Ϻì¸ËÏ¡ÁÑÒ¶ | ×Ϻì¸Ë·ÖÁÑÒ¶ | |
| ×éºÏÒ» | 9 | 3 | 3 | 1 |
| ×éºÏ¶þ | 3 | 0 | 1 | 0 |
¢Ú×éºÏ¶þÖÐÇ×±¾¿ÉÄܵĻùÒòÐÍ×éºÏΪAaBBºÍAabb»òAaBBºÍAaBb£®
£¨3£©ÔÚÒ»¸ö°×Çà¸Ë£¨´¿ºÏÌ壩ÇàÝïÖУ¬·¢ÏÖÁËÒ»Öê×Ϻì¸ËÇàÝÑо¿ÈËÔ±Éè¼ÆÁËÒ»ÏÂʵÑé·½°¸À´Ì½¾¿¸ÃÐÔ×´³öÏֵĿÉÄܵÄÔÒò£º½«¸ÃÖê×Ϻì¸ËÇàÝïÓë´¿ºÏ°×Çà¸ËÇàÝïÔÓ½»£»Èç¹ûF1ȫΪ°×Çà¸Ë£¬F1×Ô½»µÃµ½µÄF2Öа×Çà¸Ë£º×Ϻì¸Ë=3£º1£¬Ôò×Ϻì¸ËÐÔ×´ÊÇÓÉÓÚ»ùÒòÍ»±äÔì³ÉµÄ£»·ñÔò£¬×Ϻì¸ËÐÔ×´ÊÇÓÉÓÚ»·¾³ÒýÆðµÄ£®
£¨4£©ÔÚ¡âAA¡Á¡áaaÔÓ½»ÖУ¬ÈôA»ùÒòËùÔÚµÄͬԴȾɫÌåÔÚ¼õÊýµÚÒ»´Î·ÖÁÑʱ²»·ÖÀ룬²úÉúµÄ×Ó´úȾɫÌåÊýĿΪ10»ò8£®
·ÖÎö ¿ØÖƸÑÉ«ºÍÒ¶ÐÍÕâÁ½¶ÔÐÔ×´µÄ»ùÒòÊǶÀÁ¢ÒÅ´«µÄ£¬×ñÑ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£®
±í¸ñÖÐ×éºÏÒ»ºó´ú±íÏÖÐͱÈÀýΪ9£º3£º3£º1£¬ËµÃ÷Ç×±¾ÎªË«ÔÓ£¬»ùÒòÐÍΪAaBb£®
½â´ð ½â£º£¨1£©Èô½«»ùÒòÐÍΪaaBbºÍAaBBµÄÒ°ÉúÐÍÇàÝïÔÓ½»£¬F1ÖеĻùÒòÐÍ2¡Á2=4ÖÖ£¬×Ϻì¸Ë·ÖÁÑÒ¶Ö²ÖêµÄ»ùÒòÐÍΪaabb£¬¶øF1µÄ»ùÒòÐÍÓÐAaBb¡¢aaBb¡¢aaBBºÍAaBB£¬¹Ê»ùÒòÐÍΪaaBbµÄÖ²Öê×Ô½»²úÉúµÄ×Ϻì¸Ë·ÖÁÑÒ¶Ö²Öê±ÈÀý×î¸ß£¬aaBbµÄÖ²Öê×Ô½»ºó´ú»ùÒòÐͼ°±ÈÀýΪaaBB£ºaaBb£ºaabb=1£º2£º1£®
£¨2£©¢Ù×éºÏÒ»ºó´ú±íÏÖÐͱÈÀýΪ9£º3£º3£º1£¬ËµÃ÷Ç×±¾ÎªË«ÔÓ£¬»ùÒòÐÍΪAaBb£¬×Ó´úÖеİ×Çà¸Ë·ÖÁÑÒ¶»ùÒòÐÍΪA_bb£¬ÆäÖÐAAbbÕ¼$\frac{1}{3}$£¬Aabb¸öÌåÕ¼$\frac{2}{3}$£¬×Ô½»ºó´úÄÜÎȶ¨ÒÅ´«Õ¼$\frac{1}{3}+\frac{2}{3}¡Á\frac{1}{2}=\frac{2}{3}$£®ºó´úÖа×Çà¸Ë·ÖÁÑÒ¶£¨A_bb£©µÄ¸ÅÂÊÊÇ$\frac{1}{3}+\frac{2}{3}¡Á\frac{3}{4}=\frac{5}{6}$£®
¢Ú×éºÏ¶þÖкó´ú°×Çà¸Ë£º×Ϻì¸Ë=3£º1£¬ÇÒȫΪϡÁÑÒ¶£¬ËµÃ÷Ç×±¾µÄ»ùÒòÐÍΪAaBBºÍAabb»òAaBBºÍAaBb£®
£¨3£©ÔÚÒ»¸ö°×Çà¸ËAA£¨´¿ºÏÌ壩ÇàÝïÖУ¬·¢ÏÖÁËÒ»Öê×Ϻì¸Ë£¨aa£©ÇàÝ½«¸ÃÖê×Ϻì¸ËÇàÝïÓë´¿ºÏ°×Çà¸ËÇàÝïÔÓ½»£»Èç¹ûF1ȫΪ°×Çà¸Ë£¬F1×Ô½»µÃµ½µÄF2Öа×Çà¸Ë£º×Ϻì¸Ë=3£º1£¬ËµÃ÷×Ϻì¸ËÐÔ×´ÊÇÓÉÓÚ»ùÒòÍ»±äÔì³ÉµÄ£¬·ñÔò£¬×Ϻì¸ËÐÔ×´ÊÇÓÉÓÚ»·¾³ÒýÆðµÄ£®
£¨4£©ÔÚ¡âAA¡Á¡áaaÔÓ½»ÖУ¬Ò°ÉúÐÍÇàÝïȾɫÌå×é³ÉΪ2n=18£¬ÈôA»ùÒòËùÔÚµÄͬԴȾɫÌåÔÚ¼õÊýµÚÒ»´Î·ÖÁÑʱ²»·ÖÀ룬»ùÒòÐÍΪBBµÄÎ÷¹Ï×öĸ±¾£¬A»ùÒòËùÔÚµÄͬԴȾɫÌåÔÚ¼õÊýµÚÒ»´Î·ÖÁÑʱ²»·ÖÀë²úÉúµÄÂÑϸ°ûÖÐȾɫÌåÊýĿΪ10£¨²»º¬B»ùÒò£©»ò8£¨º¬ÓÐBB»ùÒò£©£®
¹Ê´ð°¸Îª£º£¨1£©4 aaBb aaBB£ºaaBb£ºaabb=1£º2£º1
£¨2£©$\frac{2}{3}$ $\frac{5}{6}$ AaBBºÍAabb»òAaBBºÍAaBb
£¨3£©»ùÒòÍ»±ä »·¾³Ó°Ïì
£¨4£©10»ò8
µãÆÀ ±¾ÌâµÄ֪ʶµãÊǼõÊý·ÖÁѹý³ÌÖÐȾɫÌåµÄÐÐΪ±ä»¯£¬È¾É«ÌåÊýÄ¿±äÒ죬»ùÒò·ÖÀ붨ÂɺÍ×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖÊ£¬·Òë¹ý³Ì£¬Ö¼ÔÚ¿¼²éѧÉúÀí½âËùѧ֪ʶµÄÒªµã£¬°ÑÎÕ֪ʶµÄÄÚÔÚÁªÏµ£¬ÐγÉÖªÊ¶ÍøÂç²¢Ó¦ÓÃÏà¹ØÖªÊ¶×ۺϽâ´ðÎÊÌ⣮
| A£® | °±»ùËá¡¢ÐÔ¼¤ËØ¡¢¿¹ÌåºÍµí·Ûø¶¼ÊôÓÚÈËÌåÄÚ»·¾³µÄ³É·Ö | |
| B£® | ÈËÌå¼¢¶öʱ£¬ÑªÒºÁ÷¾¸ÎÔàºó£¬ÑªÌǵĺ¬Á¿»áÉý¸ß£»ÑªÒºÁ÷¾ÒȵººóѪÌǵĺ¬Á¿»á¼õÉÙ | |
| C£® | Í»´¥Ç°Ä¤ÊͷŵÄÒÒõ£µ¨¼îͨ¹ý°ûÍ̽øÈëÏÂÒ»¸öÉñ¾Ôª·¢»Ó×÷Óà | |
| D£® | ÄÚ»·¾³Öн«ÆÏÌÑÌÇ·Ö½âΪ±ûͪËᣬΪϸ°ûÌṩÄÜÁ¿£¬ÓÐÀûÓÚÉúÃü»î¶¯µÄ½øÐÐ |