ÌâÄ¿ÄÚÈÝ
17£®Ä³¶þ±¶ÌåÖ²ÎïµÄ»¨É«ÓÉλÓÚÈý¶ÔͬԴȾɫÌåÉϵÄÈý¶ÔµÈλ»ùÒò£¨AÓëa¡¢BÓëb¡¢DÓëd£©¿ØÖÆ£¬Ñо¿·¢ÏÖÌåϸ°ûÖеÄd»ùÒòÊý¶àÓÚD»ùÒòÊýʱ£¬D»ùÒò²»Äܱí´ï£»A¡¢B¡¢D»ùÒòÖ®¼äµÄ¹ØÏµÈçͼ¼×Ëùʾ£¨B¿ØÖÆ»ÆÉ«Ëصĺϳɣ¬A¶ÔBµÄ±í´ïÓÐÒÖÖÆ×÷Óã©£®Ä³Í»±äÌåϸ°û»ùÒòÐÍÓëÆä¿ÉÄܵÄȾɫÌå×é³ÉÈçͼÒÒËùʾ£¨ÆäËüȾɫÌåÓë»ùÒò¾ùÕý³££¬²úÉúµÄ¸÷ÖÖÅä×ÓÕý³£´æ»î£©£®¾Ýͼ·ÖÎö»Ø´ðÎÊÌ⣺£¨1£©Õý³£Çé¿öÏ£¬³ÈºìÉ«ÐÔ×´µÄ»ùÒòÐÍ¿ÉÄÜÓÐ4ÖÖ£®
£¨2£©»ùÒòÐÍΪAAbbddµÄÖ²ÖêºÍ´¿ºÏµÄ»Æ»¨Ö²ÖêÔÓ½»»ñµÃF1£¬F1×Ô½»£¬F2°×»¨Ö²ÖêÖУ¬´¿ºÏ×ÓÓëÔÓºÏ×ӵıÈÀýΪ3£º10£®
£¨3£©Í¼ÒÒËùʾµÄ»ùÒòÐÍΪaaBbDddµÄÖ²Ö껨ɫ±íÏÖΪ»ÆÉ«£¬Í¼ÒÒÈýÖÖÍ»±äÌåÀàÐÍÖУ¬ÓëÆäËüÁ½ÖÖ±äÒìÀàÐͲ»Í¬ÊÇ¢Ú£¨ÌîÐòºÅ£©£®
ΪÁËÈ·¶¨aaBbDddÖ²ÖêÊôÓÚͼÒÒÖеÄÄÄÒ»ÖÖÍ»±äÌ壬ijÉúÎïÐËȤС×éÉè¼ÆÁËÒÔÏÂʵÑé²½ÖèÇë²¹³äÍêÕûʵÑé½á¹û¼°Ô¤²â£º
ʵÑé²½Ö裺ÈøÃÍ»±äÌåÓë»ùÒòÐÍΪaabbddµÄÖ²Öê²â½»£¬¹Û²ì²¢Í³¼Æ×Ó´úµÄ±íÏÖÐͼ°Æä±ÈÀý£»
½á¹ûÔ¤²â£º
¢ñ£®Èô×Ó´úÖа×É«£º»ÆÉ«£º³ÈºìɫΪ4£º3£º1£¬ÔòÆäΪͻ±äÌå¢Ù£»
¢ò£®Èô×Ó´úÖа×É«£º»ÆÉ«£º³ÈºìɫΪ2£º1£º1£¬ÔòÆäΪͻ±äÌå¢Û£®
·ÖÎö ¸ù¾Ý¶þ±¶ÌåÖ²ÎïµÄ»¨É«ÊܶÀÁ¢ÒÅ´«ÇÒÍêÈ«ÏÔÐÔµÄÈý¶Ô»ùÒò¿ØÖÆ£¬ËµÃ÷Æä×ñÑ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£®ÓÉÓÚAÒÖÖÆBµÄ±í´ï£¬ËùÒÔÐγɳȺìÉ«ÎïÖʵĻùÒò×é³ÉΪaaB-D-£®Í»±äÌå¼×ºÍÍ»±äÌå±ûÊÇȾɫÌå½á¹¹·¢Éú±äÒ죬ͻ±äÌåÒÒÊÇȾɫÌåÊýÄ¿·¢Éú±äÒ죮ͻ±äÌå¼×¼õÊý·ÖÁѿɲúÉúD¡¢dd¡¢Dd¡¢dËÄÖÖÅä×Ó£¬±ÈÀýΪ1£º1£º1£º1£»Í»±äÌåÒÒ¼õÊý·ÖÁѿɲúÉúD¡¢Dd¡¢dd¡¢dËÄÖÖÅä×Ó£¬±ÈÀýΪ1£º2£º1£º2£»Í»±äÌå±û¼õÊý·ÖÁѿɲúÉúD¡¢ddÁ½ÖÖÅä×Ó£¬±ÈÀýΪ1£º1£®
½â´ð ½â£º£¨1£©¸ù¾ÝͼÐηÖÎöÒÑÖª£¬³ÈºìÉ«Ëù¶ÔÓ¦µÄ»ùÒòÐÍÓÐaaB-D-£¬¹ÊÓСÁ2=4ÖÖ£»
£¨2£©»ùÒòÐÍΪAAbbddµÄ°×»¨Ö²ÖêºÍ´¿ºÏ»Æ»¨Ö²ÖêaaBBddÔÓ½»£¬F1Ö²ÖêµÄ»ùÒòÐÍΪAaBbdd£¬ËùÒÔF2Ö²ÖêµÄ±íÏÖÐͼ°±ÈÀýΪ°×»¨£º»Æ»¨=13£º3£¬F2°×»¨Öд¿ºÏ×Ó£¨AABBdd¡¢AAbbdd¡¢aabbdd£©µÄ±ÈÀýΪ$\frac{3}{13}$£¬¹Ê´¿ºÏ×ÓÓëÔÓºÏ×ӵıÈÀýΪ3£º10£®
£¨3£©Í¼2ÖлùÒòÐÍΪaaBbDddµÄÍ»±äÌ廨ɫΪ»ÆÉ«£®Í¼ÒÒÖТ٢ÛÊÇȾɫÌå½á¹¹µÄ±äÒ죬¢ÚÊÇȾɫÌåÊýÄ¿µÄ±äÒ죮
ÈÃÍ»±äÌåaaBbDddÓë»ùÒòÐÍΪaabbddµÄÖ²ÖêÔÓ½»£¬Èô×Ó´úÖа×É«£º»ÆÉ«£º³ÈºìɫΪ4£º3£º1£¬ÔòÆäΪͻ±äÌå¢Ù£»Èô×Ó´úÖа×É«£º»ÆÉ«£º³ÈºìɫΪ2£º1£º1£¬ÔòÆäΪͻ±äÌå¢Û£®
¹Ê´ð°¸Îª£º
£¨1£©4
£¨2£©3£º10
£¨3£©»ÆÉ« ¢Ú
¢ñ.4£º3£º1
¢ò.2£º1£º1
µãÆÀ ±¾Ì⿼²é»ùÒò×ÔÓÉ×éºÏ¶¨ÂÉ¡¢È¾É«Ìå±äÒìºÍ»ùÒòÓëÐÔ×´¹ØÏµµÄÏà¹ØÖªÊ¶£¬ÒâÔÚ¿¼²éѧÉúµÄʶͼÄÜÁ¦ºÍÅжÏÄÜÁ¦£¬ÔËÓÃËùѧ֪ʶ×ۺϷÖÎöÎÊÌâµÄÄÜÁ¦£®
| ÖÖȺÑÝÌæ | ¹à²Ý´Ô | ÕëÒ¶ÁÖ | ÕëÀ«Ò¶»ì½»ÁÖ | ¼¾·ç³£ÂÌÀ«Ò¶ÁÖ | |
| ȺÂä´¹Ö±½á¹¹²ãÊý | 2 | 3 | 4 | 5 | |
| Ò¶Ãæ»ýÖ¸Êý | 2.48 | 6.61 | 11.28 | 17.76 | |
| ¹âÄÜ©ÉäÂÊ£¨%£© | 62.2 | 44.7 | 3.3 | 1.1 | |
| Éú²úÁ¿ | ×ܳõ¼¶Éú²úÁ¿£¨t•hm-2•a-1£© | 17.43 | 55.50 | 116.61 | 150.81 |
| ¾»³õ¼¶²úÁ¿£¨t•hm-2•a-1£© | 1.50 | 14.52 | 23.88 | 26.00 | |
£¨2£©Í³¼ÆÊý¾Ý±íÃ÷Ëæ×ÅȺÂäÑÝÌæµÄ½øÐУ¬Éú̬ϵͳ½Ø»ñ¹âÄܵİٷÖÂÊÔö´ó£¬×ܳõ¼¶Éú²úÁ¿Ôö¶à£¬Õâ¿ÉÄÜÓëÖ²ÎïȺÂäµÄ´¹Ö±½á¹¹·Ö²ãÔö¶àÓйأ®
£¨3£©ÓɱíÖÐȺÂä¸÷×Ô¹¹³ÉµÄÉú̬ϵͳÖеֿ¹Á¦Îȶ¨ÐÔ×î´óµÄÊǼ¾·ç³£ÂÌÀ«Ò¶ÁÖÉú̬ϵͳ£®
| A£® | ×ÔȻѡÔñÊÇÉúÎï±äÒìµÄËæ»úÌÔ̺ͱ£Áô | |
| B£® | ÉÙÁ¿¸öÌåǨÈëijÖÖȺ²ÎÓë½»Åä·±Ö³£¬²»»áµ¼ÖÂÖÖȺµÄ»ùÒòƵÂʸıä | |
| C£® | ij¸öÌå·¢ÉúȾɫÌå»û±äµ«ÊDz»ÒÅ´«¸øºó´ú£¬´Ë±äÒìÊôÓÚ¿ÉÒÅ´«±äÒì | |
| D£® | Èôij´óÖÖȺ¾Àú»·¾³¾Þ±äºóÖ»ÓÐÉÙÊý¸öÌå´æ»î£¬µ±»Ö¸´µ½Ô¹æÄ£Ê±£¬»ùÒòƵÂʲ»±ä |
| »ùÒòÐÍ | AA | Aa | aaY1Y2¡¢aaY1y2y2¡¢aay1y1Y2 | aay1y1y2y2 |
| ±íÏÖÐÍ | °×É« | Èé°×É« | »ÆÉ« | ½ð»ÆÉ« |
£¨1£©Èô¿ºÏ»ÆÉ«¸ÊÀ¶ÐÍÓͲËÓë½ð»ÆÉ«¸ÊÀ¶ÐÍÓͲËÔÓ½»£¬F1µÄ±íÏÖÐÍÊÇ»ÆÉ«£®¸ÃF1½øÐв⽻£¬ºó´úÖлÆÉ«£º½ð»ÆÉ«=3£º1£¬Ôò¸ÃF1½øÐÐ×Ô½»Ê±£¬ºó´úÖлÆÉ«£º½ð»ÆÉ«=15£º1£®
£¨2£©ÈÃÒ»Öê°×É«¸ÊÀ¶ÐÍÓͲËÓëÒ»Öê»ÆÉ«¸ÊÀ¶ÐÍÓͲËÔÓ½»£¬ºó´úÈ«ÊÇÈé°×É«¸ÊÀ¶ÐÍÓͲˣ¬¸Ã¸ÊÀ¶ÐÍÓͲ˵ĻùÒòÐÍ×î¶àÓÐ9ÖÖ£®
£¨3£©¶Ôij»ùÒòÐ͵ÄÈé°×É«¸ÊÀ¶ÐÍÓͲ˽øÐв⽻£¬ºó´ú»¨É«µÄ±íÏÖÐͼ°±ÈÀýΪÈé°×É«£º»ÆÉ«£º½ð»ÆÉ«=4£º3£º1£¬Ôò¸ÃÈé°×É«¸ÊÀ¶ÐÍÓͲ˵ĻùÒòÐÍΪAaY1y1Y2y2£»¸ÃÈé°×É«¸ÊÀ¶ÐÍÓͲË×Ô½»£¬ºó´úµÄ±íÏÖÐͼ°±ÈÀýΪ°×É«£ºÈé°×»¨£º»Æ»¨£º½ð»Æ»¨=16£º32£º15£º1£®