ÌâÄ¿ÄÚÈÝ
19£®¼Ò²Ï²ÏÌåÓаßÎÆÓɳ£È¾É«ÌåÉϵĻùÒòA¿ØÖÆ£¬»ùÒòÐÍaa±íÏÖΪÎÞ°ßÎÆ£®°ßÎÆÑÕÉ«Óɳ£È¾É«ÌåÉÏÁíÒ»¶Ô»ùÒò£¨B/b£©¿ØÖÆ£¬BB»òBbΪºÚÉ«£¬bbΪ»ÒÉ«£®£¨1£©ÏÖÑ¡ÓÃÁ½´¿ºÏÇ×±¾¼×£¬ÒÒÔÓ½»µÃµ½F1£¬F1²â½»½á¹ûÈç±í£º
ÐÔ×´ | ºÚÉ«°ßÎÆ | »ÒÉ«°ßÎÆ | ÎÞ°ßÎÆ |
ÊýÄ¿ | 91 | 85 | 173 |
£¨2£©F1´ÆÐÛ½»ÅäËùµÃF2µÄÐÔ×´ºÍ·ÖÀë±ÈΪºÚÉ«°ßÎÆ£º»ÒÉ«°ßÎÆ£ºÎÞ°ßÎÆ=9£º3£º4£®F2ÖÐ×Ô½»²»·¢ÉúÉÏÊöÐÔ×´·ÖÀëµÄ¸öÌåÕ¼$\frac{3}{8}$£®
£¨3£©A/aËùÔÚȾɫÌåż¼ûȱʧÏÖÏó£¬ÈçͼËùʾ£®È¾É«ÌåȱʧµÄÂÑϸ°û²»Óý£¬È¾É«ÌåȱʧµÄ¾«×Ó¿ÉÓý£®»ùÒòÐÍΪA0aµÄ²Ï´ÆÐÛ½»Å䣬×Ó´úµÄÓаßÎÆ£ºÎÞ°ßÎƵıÈÀýΪ1£º1£®
£¨4£©¼Ò²ÏÖУ¬´ÆÐÔÐÔȾɫÌåΪZW£¬ÐÛÐÔÐÔȾɫÌåΪZZ£®¼Ò²ÏÌå±ÚÕý³£»ùÒò£¨T£©ÓëÌå±Ú͸Ã÷»ùÒò£¨t£©ÊÇλÓÚZȾɫÌåÉϵÄÒ»¶ÔµÈλ»ùÒò£®ÏÖÓÃÓаßÎÆÌå±Ú͸Ã÷´Æ²Ï£¨A0aZtW£©ÓëÓаßÎÆÌå±ÚÕý³£Ð۲ϣ¨A0aZTZT£©ÔÓ½»µÃµ½F1£¬½«ÆäÖÐÓаßÎƸöÌåÏ໥½»Å䣬ºó´úÖÐÓаßÎÆÌå±ÚÕý³£´ÆÐÔ¸öÌåÕ¼$\frac{1}{8}$£®
·ÖÎö ¸ù¾ÝÌâÒâºÍͼ±í·ÖÎö¿ÉÖª£º¼Ò²Ï²ÏÌåÓаßÎÆÓëÎÞ°ßÎÆ¡¢ºÚÉ«Óë»ÒÉ«µÄÒÅ´«×ñÑ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£®ÓÉÓÚÖ»ÓÐÓаßÎÆʱ²Å·ÖΪºÚÉ«ºÍ»ÒÉ«£¬ËùÒÔºÚÉ«°ßÎƵĻùÒòÐÍΪA-B-£¬»ÒÉ«°ßÎƵĻùÒòÐÍΪA-bb£¬ÎÞ°ßÎƵĻùÒòÐÍΪaaB-ºÍaabb£®
½â´ð ½â£º£¨1£©ÒÀÌâÒâ¿ÉÖª£¬A_B_±íÏÖΪºÚÉ«ÓаßÎÆ£¬A_bbΪ»ÒÉ«ÓаßÎÆ£¬aaB_ºÍaabb±íÏÖΪÎÞ°ßÎÆ£®±íÖÐÊý¾ÝÏÔʾ£¬F1²â½»×Ó´úÖУ¬ºÚÉ«°ßÎÆ£º»ÒÉ«°ßÎÆ£ºÎÞ°ßÎÆ¡Ö1£º1£º2£¨ÊÇ1£º1£º1£º1µÄ±äʽ£©£¬¾Ý´Ë¿ÉÍÆÖª£¬F1µÄ»ùÒòÐÍÊÇAaBb£®ÒÑÖª´¿ºÏÇ×±¾¼×µÄ±íÏÖÐÍΪÎÞ°ßÎÆ£¬ÔòÆä»ùÒòÐÍ¿ÉÄÜΪaaBB»òaabb£¬ÈôΪǰÕߣ¬ÔòÒҵĻùÒòÐÍΪAAbb£¬ÈôΪºóÕߣ¬ÔòÒҵĻùÒòÐÍÊÇAABB£®
£¨2£©F1µÄ»ùÒòÐÍÊÇAaBb£¬´ÆÐÛ¸öÌå½»ÅäËùµÃµÄF2µÄ±íÏÖÐͼ°Æä±ÈÀýΪ£¬ºÚÉ«°ßÎÆ£¨A_B_£©£º»ÒÉ«°ßÎÆ£¨A_ bb£©£ºÎÞ°ßÎÆ£¨aaB_+aabb£©=9£º3£º4£®ÔÚF2ÖУ¬»ùÒòÐÍΪAABB¡¢AAbb¡¢aaBB¡¢aaBb¡¢aabbµÄ¸öÌå×Ô½»£¬Æäºó´ú¾ù²»·¢ÉúÐÔ×´·ÖÀ룬¹²Õ¼$\frac{1}{16}+\frac{1}{16}+\frac{1}{16}+\frac{2}{16}+\frac{1}{16}=\frac{3}{8}$£®
£¨3£©ÒÑ֪ȾɫÌåȱʧµÄÂÑϸ°û²»Óý£¬È¾É«ÌåȱʧµÄ¾«×Ó¿ÉÓý£®Òò´Ë»ùÒòÐÍΪA0aµÄ´Æ²Ï£¬Ö»²úÉúÒ»ÖÖ»ùÒòÐÍΪaµÄ¿ÉÓýµÄÂÑϸ°û£»»ùÒòÐÍΪA0aµÄÐ۲ϣ¬¿É²úÉú±ÈÖµÏàµÈµÄA0ºÍaÁ½ÖÖ¾«×Ó£¬¶þÕß½»Å䣬Òò´ÆÐÛÅä×ÓµÄËæ»ú½áºÏ£¬×Ó´úµÄ±íÏÖÐͺͱÈÀýΪÓаßÎÆ£¨A0a£©£ºÎÞ°ßÎÆ£¨aa£©=1£º1£®
£¨4£©ÓаßÎÆÌå±Ú͸Ã÷´Æ²Ï£¨A0aZtW£©ÓëÓаßÎÆÌå±ÚÕý³£Ð۲ϣ¨A0aZTZT£©ÔÓ½»£¬ÈôÖ»Ñо¿ÓÐÎÞ°ßÎÆÕâÒ»Ïà¶ÔÐÔ×´£¬½áºÏ¶Ô£¨3£©µÄ·ÖÎö¿ÉÖª£¬F1ÖÐÓаßÎƸöÌåµÄ»ùÒòÐ;ùΪA0a£¬½«ÆäÖÐÓаßÎƸöÌåÏ໥½»Å䣬F2ÖÐÓаßÎƸöÌåËùÕ¼µÄ±ÈÀýΪ1/2£»ÈôÖ»Ñо¿Ìå±ÚÊÇ·ñ͸Ã÷ÕâÒ»Ïà¶ÔÐÔ×´£¬Ôò»ùÒòÐÍΪZtWµÄ´Æ²ÏÓë»ùÒòÐÍΪzTZTµÄÐ۲Ͻ»Å䣬F1ÖÐÌå±ÚÕý³£Ð۲ϣ¨ZTZt£©£ºÌå±ÚÕý³£´Æ²Ï£¨ZTW£©=1£º1£¬F1ÖеĴÆÐ۲Ͻ»Å䣬ËùµÃµ½µÄF2µÄ»ùÒòÐͼ°Æä±ÈÀýΪZTZT£ºZTZt£ºZTW£ºZtW=1£º1£º1£º1£¬ÆäÖÐÌå±ÚÕý³£ÐÛÐÔ¸öÌåºÍÌå±ÚÕý³£´ÆÐÔ¸öÌåËùÕ¼µÄ±ÈÀý·Ö±ð$\frac{1}{2}$£¨ZTZT+ZTZt£©¡¢$\frac{1}{4}$£¨ZTW£©£»½«ÕâÁ½¶ÔÏà¶ÔÐÔ×´×ÛºÏÔÚÒ»ÆðÑо¿£¬ÔòF2ÖУ¬ÓаßÎÆÌå±ÚÕý³£´ÆÐÔ¸öÌå$\frac{1}{2}¡Á\frac{1}{4}=\frac{1}{8}$£®
¹Ê´ð°¸Îª£º
£¨1£©AABB»òAAbb
£¨2£©ºÚÉ«°ßÎÆ£º»ÒÉ«°ßÎÆ£ºÎÞ°ßÎÆ=9£º3£º4 $\frac{3}{8}$
£¨3£©1£º1
£¨4£©$\frac{1}{8}$
µãÆÀ ±¾Ì⿼²é»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄÏà¹Ø֪ʶ£¬ÒâÔÚ¿¼²éѧÉúµÄʶ¼ÇÄÜÁ¦ºÍÅжÏÄÜÁ¦£¬ÔËÓÃËùѧ֪ʶ×ۺϷÖÎöÎÊÌâµÄÄÜÁ¦£®
A£® | Ä¿¾µ5¡ÁºÍÎï¾µ40¡Á | B£® | Ä¿¾µ10¡ÁºÍÎï¾µ40¡Á | ||
C£® | Ä¿¾µ5¡ÁºÍÎï¾µ10¡Á | D£® | Ä¿¾µ10¡ÁºÍÎï¾µ10¡Á |
A£® | ¹¹³ÉÍ»´¥µÄÁ½¸öÉñ¾ÔªÖ®¼äÊÇÓмä϶µÄ | |
B£® | ÐË·ÜÔÚÍ»´¥´¦Ö»Äܵ¥Ïò´«µÝ | |
C£® | Í»´¥Ç°ºóÁ½¸öÉñ¾ÔªµÄÐË·ÜÊÇͬʱ·¢ÉúµÄ | |
D£® | ÐË·Üͨ¹ýÍ»´¥Ê±ÓɵçÐźÅת»¯Îª»¯Ñ§Ðźţ¬ÔÙת»¯ÎªµçÐźŠ|
A£® | ATPÖÐÓÐ3¸öÁ×Ëá»ùÍÅ£¬º¬ÓÐ3¸ö¸ßÄÜÁ×Ëá¼ü | |
B£® | ATP·Ö×ÓÖк¬ÓÐ1¸öÏÙàÑßÊ£¬2¸ö¸ßÄÜÁ×Ëá¼ü£¬3¸öÁ×Ëá»ùÍÅ | |
C£® | ÔÚÓÐÑõºÍÎÞÑõÌõ¼þÏ£¬»îϸ°ûµÄϸ°ûÖÊ»ùÖʶ¼ÄÜÐγÉATP | |
D£® | ATPÓëADPµÄÏ໥ת»¯£¬Ê¹ÉúÎïÌåµÄ¸÷Ïî·´Ó¦¶¼ÄÜÔÚ³£Î¡¢³£Ñ¹Ï¿ìËÙ½øÐÐ |
A£® | ȾɫÌå±äÒì | B£® | »ùÒòÖØ×é | C£® | »ùÒòÍ»±ä | D£® | »·¾³Ìõ¼þµÄ±ä»¯ |
ÏÂÁÐÓë´ËÓйصļ¸ÖÖ˵·¨ÖУ¬²»ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£® | ȾɫÌåµÄ¸´ÖƺͻùÒòµÄ±í´ïÖ÷ÒªÔÚͼ¢ÝËùʾµÄʱÆÚ½øÐÐ | |
B£® | »ùÒòÖØ×éµÄ·¢ÉúÓëͼ¢ÙÓйضøÓëͼ¢ÛÎÞÖ±½Ó¹Øϵ | |
C£® | ͼ¢Ú±Èͼ¢ÛµÄ¼äÆÚ·¢ÉúµÄ»ùÒòÍ»±ä´«µÝ¸øÏÂÒ»´úµÄ¿ÉÄÜÐÔÒª´óµÃ¶à | |
D£® | ÐÛÐÔ¸öÌåÄÚͬʱ¾ß±¸ÉÏÊö5ÖÖϸ°û·ÖÁÑÏñµÄÆ÷¹ÙÊÇغÍè |