ÌâÄ¿ÄÚÈÝ
8£®Ä³ÖÖ¶þ±¶ÌåÒ°ÉúÖ²ÎïÊôÓÚXYÐÍÐÔ±ð¾ö¶¨£®Ñо¿±íÃ÷£¬¸ÃÖ²ÖêµÄ»¨°êÓа×É«¡¢×ÏÉ«¡¢ºìÉ«¡¢·ÛºìÉ«ËÄÖÖ£¬»¨°êµÄÑÕÉ«ÓÉ»¨ÇàËØ¾ö¶¨£¬»¨ÇàËØµÄÐγÉÓÉλÓÚÁ½¶Ô³£È¾É«ÌåÉϵĵÈλ»ùÒò£¨A¡¢aºÍB¡¢b£©¹²Í¬¿ØÖÆ£¨ÈçͼËùʾ£©£®Ñо¿ÈËÔ±½«°×»¨Ö²ÖêµÄ»¨·ÛÊÚ¸ø×Ï»¨Ö²Ö꣬µÃµ½µÄF1È«²¿±íÏÖΪºì»¨£¬È»ºóÈÃF1½øÐÐ×Ô½»µÃµ½F2£®£¨1£©Ç×±¾Öа׻¨Ö²ÖêµÄ»ùÒòÐÍΪaaBB£¬F2Öа×É«£º×ÏÉ«£ººìÉ«£º·ÛºìÉ«µÄ±ÈÀýΪ4£º3£º6£º3£®F2ÖÐ×Ô½»ºó´ú²»»á·¢ÉúÐÔ×´·ÖÀëµÄÖ²ÖêÕ¼$\frac{3}{8}$£®
£¨2£©Ñо¿ÈËÔ±ÓÃÁ½Ö겻ͬ»¨É«µÄÖ²ÖêÔÓ½»£¬µÃµ½µÄ×Ó´úÖ²ÖêÓÐËÄÖÖ»¨É«£®ÔòÇ×´úÁ½ÖêÖ²ÖêµÄ»¨É«·Ö±ðΪ°×É«ºÍºìÉ«£®
£¨3£©Ñо¿ÈËÔ±·¢Ïָ𫾥ֲÖêÖÖȺÖгöÏÖÁ˸߾¥ÐÔ×´µÄ´ÆÐÛ¸öÌ壬Èô¸ß¾¥ÐÔ״Ϊ»ùÒòÍ»±äËùÖ£¬²¢ÇÒΪÏÔÐÔÐÔ×´£¬ÇëÄãÉè¼ÆÒ»¸ö¼òµ¥ÊµÑé·½°¸Ö¤Ã÷Í»±ä»ùÒòλÓÚXȾɫÌåÉÏ£¨XY·ÇÍ¬Ô´Çø¶Î£©»¹Êdz£È¾É«ÌåÉÏ£®
ÔÓ½»×éºÏ£º½«¶à¶Ô°«¾¥´ÆÐÔÖ²ÖêÓë¸ß¾¥ÐÛÐÔÖ²Öê×÷ΪÇ×±¾½øÐÐÔÓ½»£¬¹Û²ì×Ó´úµÄ±íÏÖÐÍ£º
¢ÙÈôÔÓ½»ºó´úÐÛÖêȫΪ°«¾¥£¬´ÆÖêȫΪ¸ß¾¥£¬ÔòÍ»±ä»ùÒòλÓÚXȾɫÌåÉÏ£»
¢ÚÈôÔÓ½»ºó´ú´Æ¡¢ÐÛÖê¾ùÓа«¾¥ºÍ¸ß¾¥£¬ÔòÍ»±ä»ùÒòλÓÚ³£È¾É«ÌåÉÏ£®
·ÖÎö ·ÖÎöÌâͼ¿ÉÖª£º°×É«»ùÒòÐÍΪaa__£¬×ÏɫΪA_bb£¬ºìɫΪA_Bb£¬·ÛºìɫΪA_BB£¬¾Ý´Ë´ðÌ⣮
½â´ð ½â£º£¨1£©°×»¨Ö²ÖêµÄ»¨·ÛÊÚ¸ø×Ï»¨Ö²Ö꣬µÃµ½µÄF1È«²¿±íÏÖΪºì»¨£¬¼´aa__¡ÁA_bb¡úA_Bb£¬ËùÒÔÇ×±¾°×»¨µÄ»ùÒòÐÍΪaaBB£¬×Ï»¨Ö²ÖêΪAAbb£¬F1µÄ»ùÒòÐÍΪAaBb£®F1×Ô½»ËùµÃµ½µÄF2ÖУ¬°×É«£¨aaB_+aabb£©£º×ÏÉ«£¨A_bb£©£ººìÉ«£¨A_Bb£©£º·ÛºìÉ«£¨A_BB£©=£¨3+1£©£º3£º6£º3=4£º3£º6£º3£®ÆäÖÐaaB_¡¢aabb¡¢AAbb¡¢AABBºó´ú²»»á·¢ÉúÐÔ×´·ÖÀ룬ռ×ÜÊýµÄ±ÈÀýΪ£º$\frac{3}{16}$+$\frac{1}{16}$+$\frac{1}{16}$+$\frac{1}{16}$=$\frac{3}{8}$£®
£¨2£©¸ù¾ÝÌâÒ⣬×Ó´úÓÐËÄÖÖ»¨É«£¬¼´____¡Á____¡úaa__£¬A_bb£¬A_Bb£¬A_BB£¬ËùÒÔÇ×±¾Îª_aBb¡Á_aBb£¬ÓÖÒòΪÇ×±¾»¨É«²»Í¬£¬ËùÒÔÒ»¸öÊǰ×É«£¬Ò»¸öÊǺìÉ«£¬¼´»ùÒòÐÍΪaaBb¡ÁAaBb£¬×Ó´úÖÐгöÏֵĻ¨É«Îª×ÏÉ«ºÍ·ÛºìÉ«£®
£¨3£©ÒªÈ·¶¨Í»±ä»ùÒòλÓÚXȾɫÌåÉÏ»¹Êdz£È¾É«ÌåÉÏ£¬¿É½«¶à¶Ô°«¾¥´ÆÐÔÖ²ÖêÓëÍ»±äÐ͸߾¥ÐÛÐÔÖ²Öê×÷ΪÇ×±¾½øÐÐÔÓ½»£®
¢ÙÈôÍ»±ä»ùÒòλÓÚXȾɫÌåÉÏ£¨Ïà¹Ø»ùÒòÓÃD¡¢d±íʾ£©£¬Ôò°«¾¥µÄ»ùÒòÐÍΪXdXd£¬¸ß¾¥µÄ»ùÒòÐÍÊÇXDY£¬ÔÓ½»ºó´úÐÛÖêȫΪ°«¾¥£¬´ÆÖêȫΪ¸ß¾¥£»
¢ÚÈôÍ»±ä»ùÒòλÓÚ³£È¾É«ÌåÉÏ£¨Ïà¹Ø»ùÒòÓÃD¡¢d±íʾ£©£¬Ôò°«¾¥µÄ»ùÒòÐÍΪdd£¬¸ß¾¥µÄ»ùÒòÐÍΪDd£¬ÔÓ½»ºó´ú´Æ¡¢ÐÛÖê¾ùÓа«¾¥ºÍ¸ß¾¥£®
¹Ê´ð°¸Îª£º
£¨1£©aaBB 4£º3£º6£º3 $\frac{3}{8}$
£¨2£©°×É«ºÍºìÉ«
£¨3£©¶à¶Ô°«¾¥´ÆÐÔÖ²ÖêÓë¸ß¾¥ÐÛÐÔÖ²Öê
¢ÙÐÛÖêȫΪ°«¾¥£¬´ÆÖêȫΪ¸ß¾¥
¢Ú´Æ¡¢ÐÛÖê¾ùÓа«¾¥ºÍ¸ß¾¥
µãÆÀ ±¾Ìâ½áºÏͼ½â£¬¿¼²é»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖʼ°Ó¦Óã¬ÒªÇó¿¼ÉúÀí½âºÍÕÆÎÕ»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖÊ£¬Äܸù¾ÝͼÖÐÐÅÏ¢ÅжϻùÒòÐÍÓë±íÏÖÐÍÖ®¼äµÄ¶ÔÓ¦¹ØÏµ£¬ÔÙ½áºÏËùѧµÄ֪ʶ׼ȷ´ðÌ⣬ÊôÓÚ¿¼¸ÙÀí½âºÍÓ¦Óòã´ÎµÄ¿¼²é£®
| A£® | ÍÌÊÉϸ°ûÓ뼡Èâϸ°ûÏà±È£¬ÈÜøÌåµÄº¬Á¿½Ï¶à | |
| B£® | ¸Îϸ°ûĤÉÏÓÐÒȵºËØ¡¢ÒȸßѪÌÇËØµÈ¼¤ËصÄÊÜÌå | |
| C£® | ½¬Ï¸°ûÊôÓڸ߶ȷֻ¯µÄϸ°û£¬ÎÞÔöÖ³ÄÜÁ¦ | |
| D£® | ºËÌÇÌå¡¢ÏßÁ£ÌåºÍÒ¶ÂÌÌåÖж¼º¬ÓкËËáºÍÒÅ´«ÎïÖÊ |
| A£® | ¾ßÓÐÐÅÏ¢½»Á÷¹¦ÄÜ | |
| B£® | Äܹ»¿ØÖÆÎïÖʽø³öϸ°û | |
| C£® | ϸ°ûĤÊǶ¯Îïϸ°ûµÄ±ß½ç£¬Ï¸°û±ÚÊÇÖ²Îïϸ°ûµÄ±ß½ç | |
| D£® | ϸ°ûĤµÄÁ½²à½á¹¹²»ÊÇÍêÈ«¶Ô³ÆµÄ |
| A£® | »·¾³Ìõ¼þµÄ¸Ä±äµ¼ÖÂÁËÉúÎïÊÊÓ¦ÐÔ±äÒìµÄ²úÉú | |
| B£® | ÔÚ½ø»¯¹ý³ÌÖУ¬¸ôÀëÊÇÐÂÎïÖÖÐγɵıØÒªÌõ¼þ | |
| C£® | ¹²Í¬½ø»¯¾ÍÊDz»Í¬ÉúÎïÖ®¼äÏ໥ӰÏì¶ø½ø»¯ | |
| D£® | ÉúÎï½ø»¯µÄʵÖʾÍÊÇÖÖȺÖлùÒòÐÍÆµÂʵĸıä |
| A£® | ½ÓÖÖ¼¹Ëè»ÒÖÊÑ×ÒßÃçÔ¤·ÀС¶ùÂé±ÔÖ¢ | |
| B£® | Æ÷¹ÙÒÆÖ²Ê±ÔËÓÃÃâÒßÒÖÖÆ¼Á¿ÉÌá¸ß³É»îÂÊ | |
| C£® | ÓÃÓ«¹â¿¹Ìå±ê¼Ç¼¼ÊõÑо¿Ï¸°ûĤµÄÁ÷¶¯ÐÔ | |
| D£® | Ç××Ó¼ø¶¨Ê±²ÉÓÃDNAÖ¸ÎÆ¼¼Êõ |
| A£® | ÐÔ¼¤ËؼõÉÙʱ´Ù½ø´¹Ìå·ÖÃÚ´ÙÐÔÏÙ¼¤ËØÊôÓÚ¸º·´À¡µ÷½Ú | |
| B£® | Éú³¤ËشٽøÒÒÏ©ºÏ³É£¬´Ó¶ø´Ù½ø¾¥¶Îϸ°ûÉ쳤ÊôÓÚ·´À¡µ÷½Ú | |
| C£® | ¸º·´À¡µ÷½ÚÓÐÀûÓÚά³ÖÉú̬ϵͳµÄÎȶ¨ÐÔ | |
| D£® | ±»ÎÛȾˮÌåÖÐÉúÎïµÄ´óÁ¿ËÀÍöʹÎÛȾ¼Ó¾çÊôÓÚÕý·´À¡µ÷½Ú |