ÌâÄ¿ÄÚÈÝ
¡¾ÌâÄ¿¡¿Ä³ÖÖ´ÆÐÛͬÖêÖ²ÎïµÄ»¨É«ÓÉÁ½¶ÔµÈλ»ùÒò(AÓëa¡¢BÓëb)¿ØÖÆ£¬Ò¶Æ¬¿í¶ÈÓɵÈλ»ùÒò(CÓëc)¿ØÖÆ£¬Èý¶Ô»ùÒò·Ö±ðλÓÚÈý¶ÔͬԴȾɫÌåÉÏ¡£ÒÑÖª»¨É«ÓÐÈýÖÖ±íÏÖÐÍ£¬×Ï»¨(A-B-)¡¢·Û»¨(A-bb)ºÍ°×»¨(aaB-»òaabb)¡£Ï±íÊÇijУµÄͬѧÃÇËù×öµÄÔÓ½»ÊÔÑé½á¹û£¬Çë·ÖÎö»Ø´ðÏÂÁÐÎÊÌ⣺
×é±ð | Ç×±¾×é | F1µÄ±íÏÖÐͼ°±ÈÀý | |||||
×Ï»¨ ¿íÒ¶ | ·Û»¨ ¿íÒ¶ | °×»¨ ¿íÒ¶ | ×Ï»¨ ÕÒ¶ | ·Û»¨ ÕÒ¶ | °×»¨ ÕÒ¶ | ||
¼× | ×Ï»¨¿íÒ¶¡Á×Ï»¨ÕÒ¶ | 9/32 | 3/32 | 4/32 | 9/32 | 3/32 | 4/32 |
ÒÒ | ×Ï»¨¿íÒ¶¡Á°×»¨¿íÒ¶ | 9/16 | 3/16 | 0 | 3/16 | 1/16 | 0 |
±û | ·Û»¨¿íÒ¶¡Á·Û»¨ÕÒ¶ | 0 | 3/8 | 1/8 | 0 | 3/8 | 1/8 |
(1)¸ù¾ÝÉϱíÖÐ_________ ÔÓ½»×éºÏ£¬¿ÉÅжÏҶƬ¿í¶ÈÕâÒ»ÐÔ×´ÖеÄ_____ÊÇÒþÐÔÐÔ×´¡£
(2)¼××éÇ×±¾×éºÏµÄ»ùÒòÐÍΪ_________________ ¡Á____________________ ¡£
(3)ÈôÖ»¿¼ÂÇ»¨É«µÄÒÅ´«£¬Èá°ÒÒ×顱²úÉúµÄÈ«²¿×Ï»¨Ö²Öê×Ô»¨´«·Û£¬Æä×Ó´úÖ²ÖêµÄ»ùÒòÐ͹²ÓÐ ___________ÖÖ£¬ÔÚÆä²úÉúµÄ×Ó´úÊýÁ¿ÏàµÈÇÒ×ã¹»¶àµÄÇé¿öÏ£¬Æä×Ó´úÖеķۻ¨Ö²ÖêÕ¼µÄ±ÈÀýΪ_____________ ¡£
(4)Èô¡°¼××顱ÖеÄ×Ï»¨¿íÒ¶Ç×±¾×Ô½»£¬Ôò²úÉúµÄ×Ó´úÖ²ÖêÀíÂÛÉÏÓ¦ÓÐ__________ ÖÖ±íÏÖÐÍ£¬ÆäÖзۻ¨¿íÒ¶Ö²ÖêÕ¼µÄ±ÈÀýΪ___________ ¡£
¡¾´ð°¸¡¿ÒÒ ÕÒ¶ AaBbCc AaBbcc 9 1/8 6 9/64
¡¾½âÎö¡¿
¸ù¾ÝÌâÒ⣺×Ï»¨(A-B-)¡¢·Û»¨(A-bb)ºÍ°×»¨(aaB-»òaabb)£¬Óɼ××é×Ï»¨¡Á×Ï»¨µÄºó´ú×Ï»¨£º·Û»¨£º°×»¨=9£º3£º4£¬¿ÉÖªÇ×±¾×Ï»¨»ùÒòÐ;ùΪAaBb£¬ÓÉÒÒ×é¿íÒ¶¡Á¿íÒ¶µÄºó´ú³öÏÖÁËÕÒ¶£¬¿ÉÅжϿíҶΪÏÔÐÔÐÔ×´£¬¹Ê¼××éÇ×±¾¿íÒ¶»ùÒòÐÍΪCc£¬ÕÒ¶»ùÒòÐÍΪcc£¬¼´¼××éÇ×±¾»ùÒòÐÍ·Ö±ðΪAaBbCc¡¢AaBbcc¡£ÒÀ´ÎÀàÍÆ¿ÉÍƳöÒÒ×éºÍ±û×éÇ×±¾»ùÒòÐÍ¡£
£¨1£©ÒÒ×éÔÓ½»×éºÏÖÐÁ½Ç×±¾¾ùΪ¿íÒ¶£¬µ«ËüÃǵĺó´úÖгöÏÖÁËÕÒ¶£¬ËµÃ÷¿íÒ¶(C)¶ÔÕÒ¶(c)ΪÏÔÐÔ¡£
£¨2£©ÔÓ½»×éºÏ¼×²úÉúµÄºó´úÖÐ×Ï»¨¡Ã·Û»¨¡Ã°×»¨£½9¡Ã3¡Ã4£¬¸Ã±ÈÀýΪ¡°9¡Ã3¡Ã3¡Ã1¡±µÄ±äʽ£¬ÓÉ´Ë¿ÉÖªÁ½Ç×±¾»¨É«µÄ»ùÒòÐ;ùΪAaBb£¬ÓÉÓÚÔÓ½»×éºÏ¼×²úÉúµÄºó´úÖпíÒ¶¡ÃÕÒ¶£½1¡Ã1£¬ÓÉ´Ë¿ÉÖª£¬Ç×±¾ÖпíÒ¶µÄ»ùÒòÐÍΪCc£¬ÕÒ¶µÄ»ùÒòÐÍΪcc£¬ËùÒÔ£¬¼××éºÏÖÐÇ×±¾×Ï»¨¿íÒ¶Ö²ÖêµÄ»ùÒòÐÍΪAaBbCc¡¢×Ï»¨ÕÒ¶Ö²ÖêµÄ»ùÒòÐÍΪAaBbcc¡£
£¨3£©ÒÒ×éºÏ²úÉúµÄºó´úÖÐ×Ï»¨¡Ã·Û»¨£½3¡Ã1£¬Ã»Óа׻¨£¬¼´ºó´úÖж¼²»º¬aa£¬ÓÉ´Ë¿ÉÒÔÈ·¶¨Ç×±¾ÖÐ×Ï»¨µÄ»ùÒòÐÍΪAABb£»ÒÒ×éÖÐÁ½Ç×±¾¶¼ÊÇ¿íÒ¶£¬µ«ºó´úÖгöÏÖÁËÕÒ¶£¬Òò´Ë£¬Á½Ç×±¾¿íÒ¶µÄ»ùÒòÐͶ¼ÊÇCc£¬ËùÒÔ£¬ÒÒ×éÖÐÇ×±¾×Ï»¨¿íÒ¶Ö²ÖêµÄ»ùÒòÐÍΪAABbCc¡£ÒÒ×é²úÉúµÄF1ÖÐ×Ï»¨Ö²ÖêµÄ»ùÒòÐÍÓÐAaBB£¨1/3£©¡¢AaBb£¨2/3£©£¬ÆäÖлùÒòÐÍΪAaBbµÄ¸öÌå×Ô½»²úÉúµÄ×Ó´úÖ²ÖêÓÐ9ÖÖ»ùÒòÐÍ£¬F1×Ï»¨Ö²ÖêÖУ¬Ö»ÓлùÒòÐÍΪAaBb£¨2/3£©µÄ¸öÌå×Ô½»²ÅÄܲúÉú»ùÒòÐÍΪA-bbµÄ·Û»¨Ö²Ö꣬¹Ê×Ô½»²úÉúµÄ·Û»¨Ö²ÖêËùÕ¼µÄ±ÈÀýΪ¡£
£¨4£©Èô¡°¼××顱ÖеÄ×Ï»¨¿íÒ¶£¨AaBbCc£©Ç×±¾×Ô½»£¬Ôò²úÉúµÄ×Ó´úÖ²ÖêÀíÂÛÉÏÓ¦ÓÐ3¡Á2=6ÖÖ±íÏÖÐÍ£¬ÆäÖзۻ¨¿íÒ¶Ö²ÖêÕ¼µÄ±ÈÀýΪ3/16¡Á3/4=9/64¡£
![](http://thumb2018.1010pic.com/images/loading.gif)