ÌâÄ¿ÄÚÈÝ
¡¾ÌâÄ¿¡¿·ÖÎöÓйØÒÅ´«²¡µÄ×ÊÁÏ£¬»Ø´ðÎÊÌâ¡£
ͼ1Ϊij¼Ò×åÁ½ÖÖÒÅ´«²¡µÄϵÆ×ͼ£¬ÕâÁ½ÖÖÒÅ´«²¡·Ö±ðÓÉλÓÚ³£È¾É«ÌåÉϵĻùÒò£¨AºÍa£©¼°ÐÔȾɫÌåÉϵĻùÒò£¨BºÍb£©¿ØÖÆ¡£
£¨1£©¢ó14µÄXȾɫÌåÀ´×ÔÓÚµÚ¢ñ´úÖеġ£
£¨2£©¼×²¡µÄÖ²¡»ùÒòλÓÚȾɫÌåÉÏ£¬ÊÇÐÔÒÅ´«²¡¡£
£¨3£©¼Ù¶¨¢ó11Óë¢ó15½á»é¡£ÈôÂÑϸ°ûaÓ뾫×ÓeÊܾ«£¬·¢Óý³ÉµÄ¢ô16»¼Á½ÖÖ²¡£¬Æä»ùÒòÐÍÊÇ£»ÈôÂÑϸ°ûaÓ뾫×ÓbÊܾ«£¬Ôò·¢Óý³öµÄ¢ô17µÄ»ùÒòÐÍÊÇ £¬ ±íÏÖÐÍ£»Èô¢ô17ÓëÒ»¸öË«Ç×Õý³££¬µ«ÐֵܽãÃÃÖÐÓмײ¡»¼ÕßµÄÕý³£È˽á»é£¬Æäºó´úÖв»»¼²¡µÄ¸ÅÂÊÊÇ¡£
¡¾´ð°¸¡¿
£¨1£©¢ñ3»ò¢ñ4£¨3»ò4£©
£¨2£©³££»Òþ
£¨3£©aaXbY£»AaXBXb£»Õý³££»5/12
¡¾½âÎö¡¿£¨1£©¢ó14µÄXȾɫÌåÀ´×ÔÓÚÆäĸÇ×9ºÅ¸öÌ壬¶ø9ºÅ¸öÌåµÄXȾɫÌåÀ´×ÔµÚ¢ñ´úÖеÄ3»ò4¡££¨2£©·ÖÎöϵÆ×ͼ8ºÍ9ºÅ¸öÌåûÓмײ¡£¬¶øÆäÅ®¶ù»¼Óмײ¡£¬ËùÒԼײ¡Êdz£È¾É«ÌåÒþÐÔÒÅ´«²¡¡£10ºÅ¸öÌ廼ÓÐÒÒ²¡£¬¶øÆ丸ĸûÓÐÒÒ²¡£¬ËµÃ÷¸Ã²¡ÊÇ°éXÒþÐÔÒÅ´«²¡¡££¨3£©¢ó11ûÓмײ¡ºÍÒÒ²¡£¬µ«ÆäĸÇ×Óмײ¡£¬ËùÒÔÆä»ùÒòÐÍÊÇ AaXBY£¬Óë¢ó15½á»é£¬Èç¹û·¢Óý³ÉµÄ¢ô16»¼Á½ÖÖ²¡£¬Æä»ùÒòÐÍÓ¦ÊÇaaXbY£¬ÆäÊÇÂÑϸ°ûaÓ뾫×ÓeÊܾ«£¬ËµÃ÷ÂÑϸ°ûaÊÇaXb £¬ ¾«×ÓÓ¦ÊÇaY¡£Ò»¸ö¾«Ôϸ°û²úÉúµÄ¾«Ï¸°û4¸öÊÇ2ÖÖÀàÐÍ£¬ËùÒÔb¾«×ÓÓ¦ÊÇAXB £¬ Ôò·¢Óý³öµÄ¢ô17µÄ»ùÒòÐÍÊÇAaXBXb £¬ ±íÏÖÐÍÊÇÕý³£¡£Ò»¸öË«Ç×Õý³££¬µ«ÐֵܽãÃÃÖÐÓмײ¡»¼ÕßµÄÕý³£ÈË»ùÒòÐÍÓÐ1/3AAXBY£¬2/3AaXBY£¬ÕâÑùµÄÁ½È˽á»é£¬ºó´úÖл¼¼×²¡µÄ¸ÅÂÊÊÇ1/4¡Á2/3=1/6£¬²»»¼¼×²¡µÄ¸ÅÂÊÊÇ5/6£¬»¼ÒÒ²¡µÄ¸ÅÂÊÊÇ1/4£¬²»»¼ÒÒ²¡µÄ¸ÅÂÊÊÇ3/4£¬ËùÒÔºó´úÖв»»¼²¡µÄ¸ÅÂÊÊÇ5/6¡Á3/4=5/12¡£
¡¾¿¼µã¾«Îö¡¿ÈÏÕæÉóÌ⣬Ê×ÏÈÐèÒªÁ˽ⳣ¼ûµÄÈËÀàÒÅ´«²¡(³£¼ûÒÅ´«²¡°üÀ¨¿¹Î¬ÉúËØ£ÄØþÙͲ¡¡¢¶àÖ¸¡¢²¢Ö¸¡¢Èí¹Ç·¢Óý²»È«¡¢É«Ã¤¡¢ÑªÓѲ¡¡¢ÏÈÌìÐÔÁûÑÆ¡¢°×»¯²¡¡¢Áµ¶ÐÍϸ°ûƶѪ֢¡¢ºÚÄòÖ¢¡¢±½±ûͪÄòÖ¢ëñÁÑ¡¢ÎÞÄÔ¶ù¡¢Ô·¢ÐÔ¸ßѪѹ¡¢ÇàÉÙÄêÐÍÌÇÄò²¡¡¢21ÈýÌå×ÛºÏÕ÷µÈ)£®
¡¾ÌâÄ¿¡¿Ä³¶þ±¶Ì嶯ÎïÌåÉ«£¨»ùÒòÓÃA¡¢a±íʾ£©¡¢ÌõÎƵÄÓÐÎÞ£¨»ùÒòÓÃB¡¢b±íʾ£©ÊÇÁ½¶Ô¶ÀÁ¢ÒÅ´«µÄÏà¶ÔÐÔ×´£¬Èç±íÊÇÈý×éÏà¹ØÔÓ½»ÊÔÑéÇé¿ö£¬Çë·ÖÎö»Ø´ð£º
µÚ1×é | µÚ2×é | µÚ3×é |
»ÆÉ«ÎÞÎÆ¡Á»ÆÉ«ÎÞÎÆ | »ÆÉ«ÎÞÎÆ¡ÁÂÌÉ«ÓÐÎÆ | ÂÌÉ«ÓÐÎÆ¡ÁÂÌÉ«ÓÐÎÆ |
£¨1£©Á½¶ÔÐÔ×´ÖеÄÒþÐÔÐÔ×´·Ö±ðÊÇ £®
£¨2£©µÚ2×éÇ×±¾ÖÐÂÌÉ«ÓÐÎƸöÌåµÄÒ»¸öÂÑÔϸ°ûÄܹ»²úÉúµÄÅä×Ó»ùÒòÐÍÊÇ £»ÔÚ¼õÊýµÚ¶þ´Î·ÖÁÑÆڼ䣬ϸ°ûÖк¬ÓеÄȾɫÌå×éÊýÓÐ
£¨3£©µÚ3×éÔÓ½»ÊµÑéºó´ú±ÈÀýΪ2£º1£®ÇëÍƲâÆä×î¿ÉÄܵÄÔÒòÊÇ ¸ù¾ÝÕâÖÖÅжϣ¬ÈôµÚ2×éºó´úÖÐÂÌÉ«ÎÞÎƸöÌå×ÔÓɽ»Å䣬F2ÖÐÂÌÉ«ÎÞÎƵĸÅÂÊΪ £®