ÌâÄ¿ÄÚÈÝ

4£®·¬ÇÑÖ²ÖêÓÐÎÞÈ×루A¡¢a£©ºÍ¹ûʵµÄÑÕÉ«£¨B¡¢b£©ÓÉλÓÚÁ½¶Ô³£È¾É«ÌåÉϵĵÈλ»ùÒò¿ØÖÆ£®ÒÑÖªÔÚÈ×ëÒÅ´«ÖУ¬Ä³ÖÖ´¿ºÏ»ùÒòÐ͵ĺÏ×Ó¾ßÓÐÖÂËÀЧӦ£¬²»ÄÜÍê³ÉÅߵķ¢Óý£®ÓÐÈË×öÁËÈçÏÂËĸö·¬ÇÑÔÓ½»ÊµÑ飺
ʵÑé1£ºÓÐÈ×ëºì¹û¡ÁÓÐÈ×ëºì¹û¡úÓÐÈ×ëºì¹û£ºÎÞÈ×ëºì¹û=2£º1
ʵÑé2£ºÓÐÈ×ëºì¹û¡ÁÎÞÈ×ëºì¹û¡úÓÐÈ×ëºì¹û£ºÓÐÈ×ë»Æ¹û£ºÎÞÈ×ëºì¹û£ºÎÞÈ×ë»Æ¹û=3£º1£º3£º1
ʵÑé3£º¼×·¬ÇÑÖ²Öê¡ÁÒÒ·¬ÇÑÖ²Öê¡úÓÐÈ×ëºì¹û£ºÓÐÈ×ë»Æ¹û£ºÎÞÈ×ëºì¹û£ºÎÞÈ×ë»Æ¹û=2£º2£º1£º1
£¨1£©·¬ÇѵĹûʵÑÕÉ«ÐÔ×´ÖУ¬»Æ¹ûÊÇÒþÐÔÐÔ×´£®ÖÂËÀºÏ×ӵĻùÒòÐÍÊÇAA£®
£¨2£©ÊµÑé1×Ó´úÖÐÓÐÈ×ëºì¹û·¬ÇÑ¿ÉÄÜ»ùÒòÐÍÓÐAaBB¡¢AaBb£¬Óû½øÒ»²½È·ÈÏ£¬×î¼ò±ãµÄ·½·¨ÊÇÈÃ×Ó´úÖеÄÓÐÈ×ëºì¹û×Ô½»£¬¿´¹ûʵÑÕÉ«ÐÔ×´ÊÇ·ñ·¢ÉúÐÔ×´·ÖÀ룻
£¨3£©ÊµÑé2Öмס¢ÒÒÁ½Ç×±¾Ö²ÖêµÄ»ùÒòÐÍÒÀ´ÎÊÇAaBb¡¢aaBb£®
£¨4£©ÊµÑé3²úÉúµÄ×Ó´úÓÐ4ÖÖ±íÏÖÐÍ£¬ÀíÂÛÉÏÆä±ÈÀýӦΪ6£º2£º3£º1£¬¹²ÓÐ6ÖÖ»ùÒòÐÍ£®
£¨5£©ÔÚÉú³¤»·¾³ÊÊÒ˵ÄÇé¿öÏ£¬ÈÃʵÑé2×Ó´úÖеÄÓÐÈ׺ì¹û·¬ÇÑÖ²ÖêÈ«²¿×Ô½»£¬ËùµÃºó´ú¸öÌåÖгöÏÖÓÐÈ×ë»Æ¹ûµÄ¸ÅÂÊÊÇ$\frac{1}{9}$£®

·ÖÎö ¸ù¾ÝʵÑé1ºó´úÓÐÈ×ëºì¹û£ºÎÞÈ×ëºì¹û=2£º1£¬ÍƲâÓÐÈ×ëºì¹ûµÄ»ùÒòÐÍÊÇAaBB£¬Í¬Ê±·¬ÇÑÖ²ÖêÖУ¬ÖÂËÀºÏ×ӵĻùÒòÐÍÊÇAA£®
¸ù¾ÝʵÑé2ºó´úÓÐÈ×ëºì¹û£ºÓÐÈ×ë»Æ¹û£ºÎÞÈ×ëºì¹û£ºÎÞÈ×ë»Æ¹û=3£º1£º3£º1£¬ÍƲâÓÐÈ×ëºì¹ûµÄ»ùÒòÐÍÊÇAaBb£¬ÎÞÈ×ëºì¹ûµÄ»ùÒòÐÍÊÇaaBb£®
¸ù¾ÝʵÑé3ºó´úÓÐÈ×ëºì¹û£ºÓÐÈ×ë»Æ¹û£ºÎÞÈ×ëºì¹û£ºÎÞÈ×ë»Æ¹û=2£º2£º1£º1£¬¿ÉÒÔ·Ö½â³ÉÓÐÈ×룺ÎÞÈ×ë=2£º1£¬ÓÉÓÚÖÂËÀºÏ×ӵĻùÒòÐÍÊÇAA£¬ËùÒÔÇ×±¾ÊÇAa£»ºì¹û£º»Æ¹û=1£º1£¬ËùÒÔÇ×±¾ÊÇBbºÍbb£®Òò´Ë£¬Á½Ç×±¾µÄ»ùÒòÐÍ·Ö±ðÊÇAaBbºÍAabb£¬±íÏÖÐÍ·Ö±ðÊÇÓÐÈ×ëºì¹ûºÍÓÐÈ×ë»Æ¹û£®

½â´ð ½â£º£¨1£©ÊµÑé2ºì¹ûºó´ú³öÏֻƹû£¬ËµÃ÷»Æ¹ûÊÇÒþÐÔÐÔ×´£®¸ù¾ÝʵÑé1ºó´úÓÐÈ×ëºì¹û£ºÎÞÈ×ëºì¹û=2£º1£¬ÍƲâÓÐÈ×ëºì¹ûµÄ»ùÒòÐÍÊÇAaBB£¬Í¬Ê±·¬ÇÑÖ²ÖêÖУ¬ÖÂËÀºÏ×ӵĻùÒòÐÍÊÇAA£®
£¨2£©ÊµÑé1×Ó´úÖеÄÓÐÈ×ëºì¹û·¬ÇѵĻùÒòÐÍÓÐAaBBºÍAaBb£¬Óû½øÒ»²½È·ÈÏ£¬×î¼ò±ãµÄ·½·¨ÊÇÈÃ×Ó´úÖеÄÓÐÈ×ëºì¹û×Ô½»£¬¿´¹ûʵÑÕÉ«ÐÔ×´ÊÇ·ñ·¢ÉúÐÔ×´·ÖÀ룮
£¨3£©¸ù¾ÝʵÑé2ºó´úÓÐÈ×ëºì¹û£ºÓÐÈ×ë»Æ¹û£ºÎÞÈ×ëºì¹û£ºÎÞÈ×ë»Æ¹û=3£º1£º3£º1£¬ÍƲâÓÐÈ×ëºì¹ûµÄ»ùÒòÐÍÊÇAaBb£¬ÎÞÈ×ëºì¹ûµÄ»ùÒòÐÍÊÇaaBb£®
£¨4£©¸ù¾ÝʵÑé4ÖÐÇ×±¾µÄ±íÏÖÐÍ¿ÉÍÆ²â»ùÒòÐÍΪA_B_¡ÁA_B_£¬¸ù¾ÝF1ÖÐÁ½ÖÖÐÔ×´¾ù³öÏÖÐÔ×´·ÖÀë¿ÉÈ·¶¨Ë«Ç×»ùÒòÐÍΪAaBb¡ÁAaBb£¬ÓÉÓÚAA´¿ºÏÖÂËÀ£¬F1ÖÐÿÖÖÐÔ×´µÄ·ÖÀë±ÈÓÐÈ×룺ÎÞÈ×ë=2£º1¡¢ºì¹û£º»Æ¹û=3£º1£¬»ùÒòÐÍ·ÖÀë±ÈΪ Aa£ºaa=2£º1¡¢BB£ºBb£ºbb=1£º2£º1£¬ÓÐÈ×ëºì¹û£ºÓÐÈ×ë»Æ¹û£ºÎÞÈ×ëºì¹û£ºÎÞÈ×ë»Æ¹û=6£º2£º3£º1£®»ùÒòÐÍ×ܹ²ÓÐ2¡Á3=6ÖÖ£®
£¨5£©ÒòAA´¿ºÏÖÂËÀ£¬ÊµÑé2µÄF1ÖÐÓÐÈ×ëºì¹ûµÄ»ùÒòÐͼ°·ÖÀë±ÈΪAaBB£ºAaBb=1£º2£¬ÈôÈ«²¿×Ô½»£¬ÔòF2ÖгöÏÖÓÐÈ×ë»Æ¹ûµÄ¸ÅÂÊΪ $\frac{2}{3}$£¨AaÓÐÈ×ë £©¡Á$\frac{1}{6}$£¨bb»Æ¹û£©=$\frac{1}{9}$£®
¹Ê´ð°¸Îª£º
£¨1£©»Æ   AA 
£¨2£©AaBB¡¢AaBb    ÈÃ×Ó´úÖеÄÓÐÈ×ëºì¹û×Ô½»£¬¿´¹ûʵÑÕÉ«ÐÔ×´ÊÇ·ñ·¢ÉúÐÔ×´·ÖÀë
£¨3£©AaBb¡¢aaBb
£¨4£©6£º2£º3£º1    6
£¨5£©$\frac{1}{9}$

µãÆÀ ±¾Ì⿼²é»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄÏà¹ØÖªÊ¶£¬ÒâÔÚ¿¼²éѧÉúµÄʶ¼ÇÄÜÁ¦ºÍÅжÏÄÜÁ¦£¬ÔËÓÃËùѧ֪ʶ×ۺϷÖÎöÎÊÌâºÍ½â¾öÎÊÌâµÄÄÜÁ¦£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿

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

¾«Ó¢¼Ò½ÌÍø