ÌâÄ¿ÄÚÈÝ

5£®ÒÑÖª¹ûÓ¬µÄ»ÒÉí£¨A£©¶ÔºÚÉí£¨a£©ÎªÏÔÐÔ£¬Ä³ÊµÑéÊÒÓлÒÉíºÍºÚÉí´ÆÐÛ¹ûÓ¬¸÷Èô¸É£®Çë¸ù¾ÝÒªÇ󻨴ðÏÂÁÐÎÊÌ⣺
£¨1£©ÈôҪͨ¹ýÒ»´ÎÔÓ½»ÊµÑéÈ·¶¨»ùÒòA¡¢aÊÇÔÚ³£È¾É«ÌåÉÏ£¬»¹ÊÇÔÚXȾɫÌåÉÏ£¬¿ÉÉè¼ÆµÄÔÓ½»ÊµÑéΪ£º±íÏÖÐÍΪºÚÉí¡â¢ª»ÒÉí¡áµÄ¹ûӬΪÇ×±¾£®Èç¹û×Ó´úµÄÐÔ×´±íÏÖΪ´ÆÐÔȫΪ»ÒÉí£¬ÐÛÐÔȫΪºÚÉí£¬Ôò»ùÒòλÓÚXȾɫÌåÉÏ£»·ñÔòÔÚ³£È¾É«ÌåÉÏ£®
£¨2£©ÈôÒÑÈ·¶¨A¡¢a»ùÒòÔÚ³£È¾É«ÌåÉÏ£®Îª½øÒ»²½Ì½¾¿¸Ã»ùÒòÊÇ·ñ´æÔÚÏÔÐÔ´¿ºÏÖÂËÀÏÖÏó£¨ÅßÌ¥ÖÂËÀ£©£¬¿ÉÉè¼ÆµÄÔÓ½»ÊµÑéΪ£º±íÏÖÐÍΪ»ÒÉí¡â¢ª»ÒÉí¡áµÄ¹ûӬΪÇ×±¾£¬Èç¹û×Ó´úµÄ±íÏÖÐͼ°±ÈÀýΪ»ÒÉí£ººÚÉí=2£º1£¬Ôò´æÔÚÏÔÐÔ´¿ºÏÖÂËÀ£¬·ñÔò²»´æÔÚ£®
£¨3£©ÈôÒÑÈ·¶¨A¡¢a»ùÒòÔÚ³£È¾É«ÌåÉÏ£¬ÇÒ´æÔÚÏÔÐÔ´¿ºÏÖÂËÀÏÖÏó£¬Ñ¡Óö¼Îª»ÒÉíµÄ°×ÑÛ£¨XbXb£©ÓëºìÑÛ£¨XBY£©¹ûÓ¬ÔÓ½»£¬F1»ÒÉíºìÑÛ¹ûÓ¬ËùÕ¼µÄ±ÈÀýΪ$\frac{1}{3}$£®
£¨4£©¹ûӬȺÌåÖУ¬Å¼¶û³öÏÖ¢ò--ÈýÌ壨¢òºÅȾɫÌå¶àÒ»Ìõ£©µÄ±äÒìÊôÓÚȾɫÌå±äÒ죮ÒÑÖª¢ò--ÈýÌå¹ûÓ¬¶¼ÄÜÕý³£Éú»î£¬ÇÒÄÜ·±Ö³ºó´ú£®¢ò--ÈýÌåÐÛ¹ûÓ¬ÔÚ¼õÊý·ÖÁѹý³ÌÖУ¬ÔÚÒ»¸ö´Î¼¶¾«Ä¸Ï¸°ûÄÚ£¬¢òºÅȾɫÌåµÄÊýÄ¿¹²ÓÐ3ÖÖ¿ÉÄÜ£®

·ÖÎö °éÐÔÒÅ´«ÊÇÖ¸ÔÚÒÅ´«¹ý³ÌÖÐ×Ó´úµÄ²¿·ÖÐÔ×´ÓÉÐÔȾɫÌåÉϵĻùÒò¿ØÖÆ£¬ÕâÖÖÓÉÐÔȾɫÌåÉϵĻùÒòËù¿ØÖÆÐÔ×´µÄÒÅ´«·½Ê½¾Í³ÆÎª°éÐÔÒÅ´«£¬ÓÖ³ÆÐÔÁ¬Ëø£¨ÒÅ´«£©»òÐÔ»·Á¬£®ÔÚÈËÀ࣬Á˽â×îÇå³þµÄÊǺìÂÌɫäºÍѪÓѲ¡µÄ°éÐÔÒÅ´«£®ËüÃǵÄÒÅ´«·½Ê½Óë¹ûÓ¬µÄ°×ÑÛÒÅ´«·½Ê½ÏàËÆ£®ºìÂÌɫäÔÚij¸ö¼ÒϵÖеÄÒÅ´«Çé¿ö£®°éÐÔÒÅ´«·ÖΪXȾɫÌåÏÔÐÔÒÅ´«£¬XȾɫÌåÒþÐÔÒÅ´«ºÍYȾɫÌåÒÅ´«£®

½â´ð ½â£º£¨1£©Éè¼ÆÒ»´ÎʵÑéÈ·¶¨»ùÒòµÄλÖ㬿ÉÒÔÑ¡Ôñ´ÆÐÔºÚÉíÓëÐÛÐÔ»ÒÉí¹ûÓ¬ÔÓ½»£¬Èç¹ûºó´ú´ÆÐÔ¹ûӬȫÊÇ»ÒÉí£¬ÐÛÐÔÈ«ÊǺÚÉí¹ûÓ¬£¬ËµÃ÷¾ö¶¨¹ûÓ¬ÉíÌåÑÕÉ«µÄ»ùÒòλÓÚXȾɫÌåÉÏ£¬·ñÔò´Ë»ùÒòÔÚ³£È¾É«ÌåÉÏ£®
£¨2£©ÒÑÈ·¶¨A¡¢a»ùÒòÔÚ³£È¾É«ÌåÉÏ£®Îª½øÒ»²½Ì½¾¿¸Ã»ùÒòÊÇ·ñ´æÔÚÏÔÐÔ´¿ºÏÖÂËÀÏÖÏó£¨ÅßÌ¥ÖÂËÀ£©£¬¿ÉÒÔÑ¡ÔñÔӺϵĻÒÉí´Æ¹ûÓ¬ºÍ»ÒÉíÐÛ¹ûÓ¬ÔÓ½»£¬ºó´ú»ùÒòÐͼ°±ÈÀýÊÇAA£ºAa£ºaa=1£º2£º1£¬Èç¹ûºó´úʵ¼Ê±íÏÖÐͼ°±ÈÀýÊÇ»ÒÉí£ººÚÉí=2£º1£¬Ôò˵Ã÷ÏÔÐÔ´¿ºÏÖÂËÀ£®
£¨3£©ÏÔÐÔ´¿ºÏÖÂËÀ£¬ÔòÇ×±¾µÄ»ùÒòÐÍÊÇAaXbXbºÍAaXBY£¬ºó´ú»ÒÉí¹ûÓ¬µÄ±ÈÀýÊÇ$\frac{2}{3}$£¬ºìÑÛ¹ûÓ¬µÄ±ÈÀýÊÇ$\frac{1}{2}$£¬Ôò×Ó´ú»ÒÉíºìÑÛ¹ûÓ¬µÄ±ÈÀýÊÇ$\frac{2}{3}$¡Á$\frac{1}{2}$=$\frac{1}{3}$£®
£¨4£©Ï¸°ûÖк¬ÓÐÈýÌõ¢òºÅȾɫÌ壬¿ÉÒÔÕý³£Éú»î£¬ÇÒÄÜ·±Ö³ºó´ú£¬ÔÚ¼õÊý·ÖÁѹý³ÌÖУ¬³õ¼¶¾«Ä¸Ï¸°ûÖÐÓÐÈýÌõ¢òºÅµÄȾɫÌ壬ÔÚ¼õÊý·ÖÁÑʱ£¬ÕâÈýÌõȾɫÌåËæ»ú×éºÏ£¬½«À´½øÈë´Î¼¶¾«Ä¸Ï¸°ûÖеÄÓÐÒ»ÌõºÍÁ½ÌõµÄ£¬µ½Á˴μ¶¾«Ä¸Ï¸°û·ÖÁѵĺóÆÚ£¬Ò»ÌõȾɫÌå±ä³ÉÁ½Ìõ£¬Á½ÌõȾɫÌå¾Í³ÉËÄÌõ£¬ËùÒԴμ¶¾«Ä¸Ï¸°ûÖеĢôºÅȾɫÌåÊýĿΪ1Ìõ»ò2Ìõ»ò4Ìõ£¬ÓÐ3ÖÖ¿ÉÄÜ£®
¹Ê´ð°¸Îª£º
£¨1£©ºÚÉí¡â¢ª»ÒÉí¡á´ÆÐÔȫΪ»ÒÉí£¬ÐÛÐÔȫΪºÚÉí
£¨2£©»ÒÉí¡â¢ª»ÒÉí¡á»ÒÉí£ººÚÉí=2£º1
£¨3£©$\frac{1}{3}$             
£¨4£©3

µãÆÀ ±¾Ì⿼²é»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂɺͰéÐÔÒÅ´«ÒÔ¼°ÉúÎï±äÒìµÄÏà¹ØÖªÊ¶£¬ÒâÔÚ¿¼²éѧÉúµÄ·ÖÎöͼ±íµÄÄÜÁ¦ºÍÅжÏÄÜÁ¦£¬ÔËÓÃËùѧ֪ʶ×ۺϷÖÎöÎÊÌâµÄÄÜÁ¦£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
11£®Ð¡ÊóÌåÉ«ÓÉλÓÚ³£È¾É«ÌåÉÏÁ½¶Ô»ùÒò¾ö¶¨£¬A»ùÒò¾ö¶¨»ÆÉ«£¬R»ùÒò¾ö¶¨ºÚÉ«£¬A¡¢Rͬʱ´æÔÚÔòƤë³Ê»ÒÉ«£¬ÎÞA¡¢RÔò³Ê°×É«£®Ò»»ÒÉ«ÐÛÊóºÍÒ»»ÆÉ«´ÆÊó½»Å䣬F1´ú±íÏÖÐͼ°Æä±ÈÀýΪ£º$\frac{3}{8}$»ÆÉ«Ð¡Êó¡¢$\frac{3}{8}$»ÒɫСÊó¡¢$\frac{1}{8}$ºÚɫСÊó¡¢$\frac{1}{8}$°×ɫСÊó£®ÊÔÎÊ£º
£¨1£©Ç×´úÖУ¬»ÒÉ«ÐÛÊóµÄ»ùÒòÐÍΪAaRr£¬»ÆÉ«´ÆÊóµÄ»ùÒòÐÍΪAarr£®
£¨2£©ÈÃF1µÄºÚÉ«´Æ¡¢ÐÛСÊó½»Å䣬ÔòÀíÂÛÉÏF2ºÚÉ«¸öÌåÖд¿ºÏ×ӵıÈÀýΪ$\frac{1}{3}$£®
£¨3£©ÈôÈÃF1ÖеĻÒÉ«´Æ¡¢ÐÛСÊó×ÔÓɽ»Å䣬µÃµ½µÄF2ÖÐÌåÉ«µÄ±íÏÖÐÍӦΪ»ÆÉ«¡¢»ÒÉ«¡¢ºÚÉ«¡¢°×É«£¬»ÆÉ«ÊóµÄ»ùÒòÐÍÊÇAArr¡¢Aarr£¬»ÆÉ«ÊóµÄ¸ÅÂÊӦΪ$\frac{2}{9}$£®
£¨4£©ÈôСÊóµÄÁíÒ»ÐÔ×´ÓÉÁíÍâµÄÁ½¶ÔµÈλ»ùÒò£¨BºÍb¡¢FºÍf£©¾ö¶¨£¬ÇÒ×ñÑ­×ÔÓÉ×éºÏ¶¨ÂÉ£®ÈûùÒòÐ;ùΪBbFfµÄ´Æ¡¢ÐÛÊóÏ໥½»Å䣬×Ó´ú³öÏÖËÄÖÖ±íÏÖÐÍ£¬±ÈÀýΪ6£º3£º2£º1£®Çë¶Ô±ÈÀý6£º3£º2£º1µÄ²úÉúÔ­Òò×ö³öºÏÀí½âÊÍ£ºÆäÖÐÓÐÒ»¶Ô»ùÒò´æÔÚÏÔÐÔ´¿ºÏÖÂËÀÏÖÏ󣬵¼Ö±ÈÀýÓÉ9£º3£º3£º1±äΪ6£º3£º2£º1£®

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

¾«Ó¢¼Ò½ÌÍø