ÌâÄ¿ÄÚÈÝ

13£®Ñо¿·¢ÏÖÓͲ˵ÄÎÞ»¨°êÍ»±äÌåÄÜÌá¸ß¹âÄÜÀûÓÃÂʼ°¿¹²¡ÐÔ£¬ÓÐÎÞ»¨°êÊÜÒ»¶ÔµÈλ»ù ÒòA¡¢a¿ØÖÆ£¬ÓͲ˵ύɫ»ùÒòÊÜÒ»¶ÔµÈλ»ùÒòB¡¢b¿ØÖÆ£®Çë¸ù¾ÝÏÂÁÐÔÓ½»ÊµÑ黨´ð£º
Ç×±¾F1F2
ÎÞ»¨°ê¡ÁÓл¨°ê»ÆÉ«ÎÞ»¨°êÎÞ»¨°ê£ºÓл¨°ê»ÆÉ«£ºÓл¨°ê°×É«=12£º3£º1
£¨1£©»ùÒòB¡¢bºÍA¡¢aλÓÚÁ½¶ÔͬԴȾɫÌåÉÏ£®ÓͲ˵ÄÎÞ»¨°ê¶ÔÓл¨°êΪÏÔÐÔ£¬ÎÞ»¨°êÓͲ˿ÉÒÀ¿¿»¨ÃÛÎüÒýÀ¥³æ²ÉÃÛÊÚ·Û£¬ËµÃ÷ÐÅÏ¢´«µÝµÄ×÷ÓãºÖÖȺµÄ·±ÑÜÀë²»¿ªÐÅÏ¢µÄ´«µÝ£®
£¨2£©Ç×±¾µÄÎÞ»¨°êÓͲ˵ĻùÒòÐÍÊÇAAbb£¬F2ÎÞ»¨°êÖд¿ºÏ×ÓµÄËùÕ¼±ÈÀýΪ$\frac{1}{6}$£®
£¨3£©Ñо¿Õß·¢ÏÖÓͲËÖÐÓÐÒ»ÖÖÐÛÐÔ²»ÓýÏÖÏ󣬯ä»úÀíÊǸÃÓͲËÖ²ÖêÖÐB/b»ùÒòËùÔÚµÄȾɫÌ寬¶Îȱʧ£¨²»¶ªÊ§B¡¢b»ùÒò£©µ¼Ö宊Ȭ·Û²»Óý£®»ùÒòÐÍΪAaBbµÄÓͲËÖ²Öê´æÔÚ´ËÏÖÏ󣬽«¸ÃÖ²Öê×Ô½»£¬Çë¸ù¾Ý×Ó´úµÄ±íÏÖÐͺͱÈÀýÅжÏÊÇÄÄÌõȾɫÌ寬¶ÎȱʧËùÖ£º
¢ÙÈç¹ûûÓÐ×Ó´ú²úÉú£¬ÔòÊÇBºÍb»ùÒòËùÔÚȾɫÌ寬¶ÎȱʧËùÖ£»
¢ÚÈç¹û×Ó´úµÄ±íÏÖÐͼ°±ÈÀýÊÇÎÞ»¨°ê£ºÓл¨°ê»ÆÉ«=3£º1£¬ÔòÊÇb»ùÒòËùÔÚȾɫÌ寬¶ÎȱʧËùÖ£»
¢ÛÈç¹û×Ó´úµÄ±íÏÖÐͼ°±ÈÀýÊÇÎÞ»¨°ê£ºÓл¨°ê»ÆÉ«£ºÓл¨°ê°×É«=6£º1£º1£¬ÔòÊÇB»ùÒòËùÔÚȾɫÌ寬¶ÎȱʧËùÖ£®

·ÖÎö ¸ù¾ÝÌâÒâºÍͼ±í·ÖÎö¿ÉÖª£ºÎÞ»¨°ê¡ÁÓл¨°ê»ÆÉ«£¬F1ȫΪÎÞ»¨°ê£¬ËµÃ÷ÎÞ»¨°êΪÏÔÐÔ£¬Æä»ùÒòÐÍΪAaBb£¬Ç×±¾µÄ»ùÒòÐÍΪAAbbºÍaaBB£¬F2ÎÞ»¨°ê£ºÓл¨°ê»ÆÉ«£ºÓл¨°ê°×É«=12£º3£º1£¬ËµÃ÷»ùÒòB¡¢bºÍA¡¢aλÓÚÁ½¶Ô¶ÔͬԴȾɫÌåÉÏ£®

½â´ð ½â£º£¨1£©ÓзÖÎö¿ÉÖª£¬»ùÒòB¡¢bºÍA¡¢aλÓÚÁ½¶Ô¶ÔͬԴȾɫÌåÉÏ£¬ÇÒÎÞ»¨°êΪÏÔÐÔ£¬ÎÞ»¨°êÓͲ˿ÉÒÀ¿¿»¨ÃÛÎüÒýÀ¥³æ²ÉÃÛÊÚ·Û£¬ËµÃ÷ÖÖȺµÄ·±Ö³Àë²»¿ªÐÅÏ¢µÄ´«µÝ£®
£¨2£©Ç×±¾µÄÎÞ»¨°êÓͲ˵ĻùÒòÐÍÊÇAAbb£¬F1»ùÒòÐÍΪAaBb£¬¹ÊF2ÎÞ»¨°ê£¨A_B_£¬A_bb£©ËùÕ¼µÄ±ÈÀýΪ$\frac{3}{4}¡Á\frac{3}{4}+\frac{1}{4}¡Á\frac{3}{4}=\frac{12}{16}$£¬ÆäÖд¿ºÏ×Ó£¨$\frac{1}{4}¡Á\frac{1}{4}$AAbb¡¢$\frac{1}{4}¡Á\frac{1}{4}$AABB£©µÄËùÕ¼±ÈÀýΪ2¡Â12=$\frac{1}{6}$£®
£¨3£©»ùÒòÐÍΪAaBbµÄÓͲËÖ²Öê´æÔÚ»¨·Û²»ÓýµÄÏÖÏ󣬽«¸ÃÖ²Öê×Ô½»£¬Èç¹ûûÓÐ×Ó´ú²úÉú£¬ÔòÊÇBºÍb»ùÒòËùÔÚȾɫÌ寬¶ÎȱʧËùÖ£®Èç¹û×Ó´úµÄ±íÏÖÐͼ°±ÈÀýÊÇÎÞ»¨°ê£ºÓл¨°ê»ÆÉ«=3£º1£¬ÔòÊÇb»ùÒòËùÔÚȾɫÌ寬¶ÎȱʧËùÖ£®Èç¹û×Ó´úµÄ±íÏÖÐͼ°±ÈÀýÊÇ£ºÎÞ»¨°ê£ºÓл¨°ê»ÆÉ«£ºÓл¨°ê°×É«=6£º1£º1£¬ÔòÊÇB»ùÒòËùÔÚȾɫÌ寬¶ÎȱʧËùÖ£®
¹Ê´ð°¸Îª£º
£¨1£©Á½   ÏÔ   ÖÖȺµÄ·±ÑÜ
£¨2£©AAbb    $\frac{1}{6}$
£¨3£©BºÍb    ÎÞ»¨°ê£ºÓл¨°ê»ÆÉ«=3£º1    b    B

µãÆÀ ±¾ÌâÒÔÒÅ´«ÌØÀýµÄÐÎʽ£¬¿¼²é»ùÒò·ÖÀ붨ÂÉ¡¢¼õÊý·ÖÁÑÁª»áµÄÏà¹ØÖªÊ¶£¬ÒâÔÚ¿¼²é¿¼ÉúµÄʶͼÄÜÁ¦£¬ÄÜÔËÓÃËùѧ֪ʶÓë¹Ûµã£¬Í¨¹ý±È½Ï¡¢·ÖÎöÓë×ۺϵȷ½·¨¶ÔijЩÉúÎïѧÎÊÌâ½øÐнâÊÍ¡¢ÍÆÀí£¬×ö³öºÏÀíµÄÅжϻòµÃ³öÕýÈ·µÄ½áÂÛµÄÄÜÁ¦£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
1£®¹ûÓ¬·±Ö³Á¦Ç¿£¬Ò×ËÇÑø£¬ÊÇÒÅ´«Ñ§³£ÓõÄģʽÉúÎïÖ®Ò»£®Çë»Ø´ðÓйØÎÊÌ⣺
£¨1£©ÒÑ֪ij¹ûÓ¬ÖÖȺÖпØÖƸÕë¡¢½ØÃ«ÐÔ×´µÄ»ùÒòλÓÚX¡¢YȾɫÌåµÄÍ¬Ô´Çø¶ÎÉÏ£¬ÔòÖÖȺÄÚÐÛ¹ûÓ¬µÄ»ùÒòÐÍÓÐ4ÖÖ£»ÔÚËæ»ú½»ÅäµÄÇé¿öÏ£¬¸Ã¹ûÓ¬ÖÖȺÄÚ²¿½»ÅäµÄ·½Ê½¹²ÓÐ12ÖÖ£®
£¨2£©Ò»¸ö´Æ¹ûÓ¬µÄºó´úÖУ¬ÈôÐÛÐÔ¸öÌå½öΪ´ÆÐÔ¸öÌåµÄÒ»°ë£¨²»¿¼ÂÇȾɫÌå±äÒ죩£¬Ôò¿ÉÄܵÄÔ­ÒòÊÇÔÚ¹ûÓ¬µÄXȾɫÌåÉÏÓÐÒ»¸öÒþÐÔÖÂËÀ»ùÒò»òÏÔÐÔÖÂËÀ»ùÒò£¬µ¼Ö´¿ºÏÖÂËÀ£®
£¨3£©Óô¿ÖÖ»ÒÉí²Ð³á¹ûÓ¬Óë´¿ÖÖºÚÉí³¤³á¹ûÓ¬½»Å䣬Ëù»ñ×Ó´ú£¨F1£©È«²¿Îª»ÒÉí³¤³á£¨¿ØÖÆ»ÒÉíÒ»ºÚÉí¡¢³¤³áÒ»²Ð³áµÄ»ùÒò¾ùλÓÚ³£È¾É«²§ÉÏ£©£¬ÇëÄãÉè¼ÆºÏÊʵÄʵÑé·½°¸ÒÔÑéÖ¤¿ØÖÆÕâÁ½¶ÔÏà¶ÔÐÔ×´»ùÒòµÄÒÅ´«·ûºÏ×ÔÓÉ×éºÏ¶¨ÂÉ£®
ʵÑé·½°¸£º·½°¸Ò»£ºÓÃF1µÄ¹ûÓ¬ÓëºÚÉí²Ð³á¹ûÓ¬½øÐв⽻£¬Í³¼Æ²â½»µÄ±íÏÖÐͱÈÀý£»
·½°¸¶þ£ºÈÃF1µÄ´ÆÐÛ¹ûÓ¬Ï໥½»Å䣬ͳ¼Æºó´úµÄ±íÏÖÐͱÈÀý£®
£¨4£©¹ûÓ¬µÄ·ÇֱëÓëֱ루ÏÔÒþ¹ØÏµÎ´Öª£©ÓÉϸ°ûºËÖеÄÒ»¶ÔµÈλ»ùÒò¿ØÖÆ£®ÊµÑéÊÒÖÐÓÐÊýÁ¿³ä×ãµÄδ½»Åä¹ýµÄ´¿ºÏֱë¡¢·Çֱë´Æ¡¢ÐÛ¹ûÓ¬£¬ÇëÄãͨ¹ýÒ»´úÔÓ½»ÊµÑéÒÔ̽¾¿¸Ã¶ÔµÈλ»ùÒòÊÇλÓÚ³£È¾É«ÌåÉÏ»¹ÊÇXȾɫÌåÉÏ£¿È¡Ö±Ã«´ÆÐÛ¹ûÓ¬Óë·Çֱë´ÆÐÛ¹ûÓ¬½øÐÐÕý½»ºÍ·´½»£®ÈôÕý½»ºÍ·´½»ºó´úÐÔ×´±íÏÖÒ»Ö£¬Ôò¸ÃµÈλ»ùÒòλÓÚ³£È¾É«ÌåÉÏ£»ÈôÕý½»ºÍ·´½»ºó´úÐÔ×´±íÏÖ²»Ò»Ö£¬Ôò¸ÃµÈλ»ùÒòλÓÚXȾɫÌåÉÏ£¨ÒªÇó£ºÐ´³öÔÓ½»·½°¸¡¢Ô¤²â½á¹ûºÍ½áÂÛ£©

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

¾«Ó¢¼Ò½ÌÍø