ÌâÄ¿ÄÚÈÝ

8£®¹ûÓ¬µÄÑÛÉ«ÓкìÑÛ¡¢·ÛºìÑۺͰ×ÑÛÈýÖÖ£¬ÑÛÉ«ÓÉÁ½¶Ô¶ÀÁ¢ÒÅ´«µÄ»ùÒò£¨A¡¢aºÍB¡¢b£©¿ØÖÆ£®¼×¡¢ÒÒÁ½¸öÉúÎïÐËȤС×éµÄͬѧ¶Ô´ËÏÖÏó·ÖÎöºó£¬¹²Í¬Ìá³öÁ˼Ù˵£ºAºÍBͬʱ´æÔÚʱ¹ûÓ¬±íÏÖΪºìÑÛ£¬A»òB´æÔÚʱ±íÏÖΪ·ÛºìÑÛ£¬AºÍB¶¼²»´æÔÚʱ±íÏÖΪ°×ÑÛ£®µ«¼××éͬѧÈÏΪÁ½¶Ô»ùÒò¾ùλÓÚ³£È¾É«ÌåÉÏ£¬¶øÒÒ×éͬѧÔòÈÏΪA¡¢aλÓÚ³£È¾É«ÌåÉÏ£¬B¡¢bλÓÚXȾɫÌåÉÏ£®
£¨1£©°´ÕÕÒÒ×éͬѧµÄ¼ÙÉ裬¹ûÓ¬¹ØÓÚÑÛÉ«µÄ»ùÒòÐÍÓÐ15ÖÖ£®
£¨2£©ÓÃÁ½Ö»»ùÒòÐͲ»Í¬µÄ´¿ºÍ·ÛºìÑÛ¹ûÓ¬Ï໥½»ÅäµÃF1£¬ÈôF1ÖгöÏÖÁË·ÛºìÑÛ£¬¼´¿ÉÅжÏÒÒ×éͬѧµÄ¼ÙÉè³ÉÁ¢£®ÈôF1¾ù±íÏÖΪºìÉ«£¬Ôò¼ÌÐøÈÃF1´ú´ÆÐÛ¹ûÓ¬Ëæ»ú½»ÅäµÃF2£¬°´ÕÕ¼××éͬѧµÄ¹ÛµãÍÆ²â£¬F2´ú±íÏÖÐͼ°±ÈÀýΪºìÑÛ£º·ÛºìÑÛ£º°×ÑÛ=9£º6£º1£®
£¨3£©ÁíһС×é±û×éͬѧ½«Ò»Ö»´¿ºÍ·Ûºì´Æ¹ûÓ¬ÓëÒ»Ö»°×ÑÛÐÛ¹ûÓ¬ÔÓ½»£¬·¢ÏÖF1´úȫΪºìÑÛ£®½«F1´ú´ÆÐÛ¹ûÓ¬Ëæ»ú½»Å䣬F2´ú´ÆÓ¬ÖУ¬ºìÑÛ£º·ÛºìÑÛ=3£º1£»F2´úÐÛÓ¬ÖУ¬ºìÑÛ£º·ÛºìÑÛ£º°×ÑÛ=3£º1£º4£®¾Ý´ËÍÆ²â£¬A£¬a»ùÒòλÓÚ³£È¾É«ÌåÉÏ£¬B¡¢bλÓÚXȾɫÌåÉÏ£¬ÇÒaaXBX-¡¢aaXBY±íÏÖΪ·ÛºìÑÛ£¬aaxbXb¡¢aaXbY¡¢A_XbXb¡¢A_XbY±íÏÖΪ°×ÑÛ£®
£¨4£©ÎªÁË»ñµÃ´óÁ¿µÄ°×ÑÛ¹ûÓ¬£¬´Ó±û×éͬѧʵÑéµÄF2ÖÐÑ¡Ôñ¸öÌå½øÐÐÔÓ½»£¬Ó¦Ñ¡Ôñ·ÛºìÑÛ´ÆÓ¬ºÍ°×ÑÛÐÛÓ¬£¬Æä×Ó´ú°×ÑÛÕ¼µÄ±ÈÀýΪ$\frac{1}{4}$£®

·ÖÎö 1¡¢AºÍBͬʱ´æÔÚʱ¹ûÓ¬±íÏÖΪºìÑÛ£¬A»òB´æÔÚʱ±íÏÖΪ·ÛºìÑÛ£¬AºÍB¶¼²»´æÔÚʱ±íÏÖΪ°×ÑÛ£¬Èç¹û»ùÒòλÓÚ³£È¾É«ÌåÉÏ£¬ÔòºìÑÛ¹ûÓ¬µÄ»ùÒòÐÍÊÇA_B_¡¢·ÛºìÑÛ¹ûÓ¬µÄ»ùÒòÐÍÊÇA_bbºÍaaB_£¬°×ÑÛ¹ûÓ¬µÄ»ùÒòÐÍÊÇaabb£»Èç¹ûA¡¢aλÓÚ³£È¾É«ÌåÉÏ£¬B¡¢bλÓÚXȾɫÌåÉÏ£¬ÔòºìÑÛ¹ûÓ¬µÄ»ùÒòÐÍÊÇA_XBX-ºÍA_XBY£¬·ÛºìÑÛ¹ûÓ¬µÄ»ùÒòÐÍÊÇA_XbXb¡¢A_XbY¡¢aaXBX-ºÍaaXBY£¬°×ÑÛ¹ûÓ¬µÄ»ùÒòÐÍÊÇaaXbXbºÍaabY£®
2¡¢Ò»Ö»´¿ºÍ·Ûºì´Æ¹ûÓ¬ÓëÒ»Ö»°×ÑÛÐÛ¹ûÓ¬ÔÓ½»£¬×Ó¶þ´ú´ÆÓ¬ÖкìÑÛ£º·ÛºìÑÛ=3£º1£¬F2´úÐÛÓ¬ÖкìÑÛ£º·ÛºìÑÛ£º°×ÑÛ=3£º1£º4£¬¶ÔÓÚ´ÆÐÛ¹ûÓ¬À´Ëµ£¬×Ó¶þ´úµÄ±íÏÖÐͼ°±ÈÀý¹ØÏµÊǺìÑÛ£º·ÛºìÑÛ£º°×ÑÛ=9£º3£º4£¬¼´bb´¿ºÏʱ±íÏÖΪ°×ÑÛ£¬A¡¢Bͬʱ´æÔÚ±íÏÖΪºìÑÛ£¬B´æÔÚ¡¢A²»´æÔÚʱ±íÏÖΪ·ÛºìÑÛ£¬ÇÒA£¨a£©Î»ÓÚ³£È¾É«ÌåÉÏ£¬B£¨b£©Î»ÓÚXȾɫÌåÉÏ£¬Ç×±¾»ùÒòÐÍΪaaXBXB¡ÁAAXbY£¬×ÓÒ»´úµÄ»ùÒòÐÍÊÇAaXBXb¡¢AaXBY£¬×Ó¶þ´ú¹ûÓ¬µÄ»ùÒòÐÍÊÇA_XBXB¡¢A_XBXb¡¢A_XBY¡¢A_XbY¡¢aaXBXB¡¢aaXBXb¡¢aaXBY¡¢aaXbY£®

½â´ð ½â£º£¨1£©°´ÕÕÒÒ×éͬѧµÄ¼Ù˵£¬A¡¢aλÓÚ³£È¾É«ÌåÉÏ£¬B¡¢bλÓÚXȾɫÌåÉÏ£¬ÔòÓ¬¹ØÓÚÑÛÉ«µÄ»ùÒòÐ͹²ÓÐÓÐ3¡Á5=15ÖÖ£®
£¨2£©°´ÕÕ¼×ͬѧµÄ¼Ù˵£¬Èç¹û2¶ÔµÈλ»ùÒò¶¼Î»ÓÚ³£È¾É«ÌåÉÏ£¬»ùÒòÐͲ»Í¬µÄ´¿ºÏ·ÛºìÑÛ¹ûÓ¬µÄ»ùÒòÐÍÊÇAAbbºÍaaBB£¬ÔÓ½»×Ó´úµÄ»ùÒòÐÍÊÇaaBb£¬±íÏÖΪºìÑÛ£¬Èç¹û³öÏÖ·ÛºìÑÛ£¬ËµÃ÷Ò»¶ÔµÈλ»ùÒò²»Î»ÓÚ³£È¾É«ÌåÉÏ£¬Î»ÓÚXȾɫÌåÉÏ£¬¼´ÒÒͬѧµÄ¼Ù˵³ÉÁ¢£»ÈôF1¾ù±íÏÖΪºìÉ«£¬»ùÒòÐÍΪAaBb£¬×ÔÓɽ»ÅäµÃµ½×Ó¶þ´ú£¬A_B_£ºA_bb£ºaaB_£ºaabb=9£º3£º3£º1£¬¼´ºìÑÛ£º·ÛºìÑÛ£º°×ÑÛ=9£º6£º1£®
£¨3£©ÓÉ·ÖÎö¿ÉÖª£¬A¡¢a»ùÒòλÓÚ³£È¾É«ÌåÉÏ£¬B¡¢b»ùÒòλÓÚXȾɫÌåÉÏ£»ÇÒaaXBX-¡¢aaXBY±íÏÖΪ·ÛºìÑÛ£¬°×ÑÛ¹ûÓ¬µÄ»ùÒòÐÍÊÇaaxbXb¡¢aaXbY¡¢A_XbXb¡¢A_XbY£®
£¨4£©ÎªÁË»ñµÃ´óÁ¿µÄ°×ÑÛ¹ûÓ¬£¬´Ó±û×éͬѧʵÑéµÄF2ÖÐÑ¡Ôñ·ÛºìÑ۴ƹûÓ¬ºÍ°×ÑÛÐÛÓ¬ÔÓ¼Ò£¬×Ó¶þ´úÖзۺìÑÛ¹ûÓ¬µÄ»ùÒòÐÍÊÇaaXBXB¡¢aaXBXb£¬°×ÑÛÐÛÓ¬µÄ»ùÒòÐÍÊÇA_XbY£¬ÔÓ½»ºó´úÖа×ÑÛ¹ûÓ¬µÄ±ÈÀýÊÇXbXb+XbY=$\frac{1}{2}¡Á\frac{1}{2}=\frac{1}{4}$
¹Ê´ð°¸Îª£º
£¨1£©15
£¨2£©ÒÒ     ºìÑÛ£º·ÛºìÑÛ£º°×ÑÛ=9£º6£º1
£¨3£©³£   X    aaXBX-¡¢aaXBY   aaxbXb¡¢aaXbY¡¢A_XbXb¡¢A_XbY
£¨4£©·ÛºìÑÛ    °×ÑÛ    $\frac{1}{4}$

µãÆÀ ±¾Ì⿼²é°éÐÔÒÅ´«µÄÏà¹ØÖªÊ¶µã£¬¾ßÓÐÒ»¶¨µÄÄѶȣ¬ÊôÓÚ¿¼¸ÙÖÐÀí½â¡¢Ó¦Óòã´ÎµÄÒªÇó£¬ÒªÇó¿¼Éú¾ßÓÐÒ»¶¨µÄÉóÌâÄÜÁ¦¡¢·ÖÎöÀí½âÄÜÁ¦ºÍÊý¾Ý´¦ÀíÄÜÁ¦£¬¶Ô¿¼ÉúµÄ×ÛºÏÄÜÁ¦ÒªÇó½Ï¸ß£®ÒâÔÚÅàÑøÑ§ÉúÀûÓÃËùѧ֪ʶ·ÖÎöÌâÒâ¡¢»ñÈ¡ÐÅÏ¢ºÍ½â¾öÎÊÌâµÄÄÜÁ¦£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿

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

¾«Ó¢¼Ò½ÌÍø