Question

4£®ÈçͼËùʾ£¬A¡¢B¾ùΪ³¤¶ÈΪLºÍ½ØÃæ»ýΪSµÄÆû¸×£¬Ìå»ý²»¼ÆµÄ»îÈûC¿ÉÔÚBÆû¸×ÄÚÎÞĦ²ÁµØ»¬¶¯£¬DΪ·§ÃÅ£¬Õâ¸ö×°ÖþùÓɵ¼ÈÈÐԽϺõIJÄÁÏÖƳɣ¬Æð³õ·§ÃŹرգ¬AÄÚÓÐѹǿΪp₁µÄÀíÏëÆøÌ壬BÄÚÓÐѹǿΪ$\frac{{p}_{1}}{2}$µÄÀíÏëÆøÌ壬»îÈûÔÚBÆû¸×ÄÚ×î×ó±ß£¬¿ÕÆøζÈΪT₀£¬´ò¿ª·§ÃÅ£¬»îÈûCÏòÓÒÒƶ¯£¬×îºó´ïµ½Æ½ºâ£¬²»¼ÆÁ½Æû¸×Á¬½Ó¹ÜµÄÈÝ»ý£¬Çó£º
¢Ù»îÈûCÒƶ¯µÄ¾àÀ뼰ƽºâºóBÖÐÆøÌåµÄѹǿ£»
¢ÚÈôƽºâºó¿ÕÆøζȽµÎª0.95T£¬ÔòÆû¸×ÖлîÈûÔõôÒƶ¯£¿Á½Æû¸×ÖеÄÆøÌåѹǿ·Ö±ð±äΪ¶àÉÙ£¿

Answer 1

·ÖÎö ¢ÙÁ½²¿·ÖÆøÌå·¢ÉúµÈα仯£¬¸ù¾Ý²£Òâ¶ú¶¨Âɼ´¿ÉÇó½â
¢ÚÏȼÙÉè»îÈû·¢ÉúÒƶ¯£¬¸ù¾ÝÀíÏëÆøÌå״̬·½³Ì¼ÆËãµÃµ½»îÈû²»Òƶ¯£¬Á½²¿·ÖÆøÌå·¢ÉúµÈÈݱ仯£¬ÔÙ¸ù¾Ý²éÀí¶¨ÂÉÁÐʽ¼ÆËã

½â´ð ½â£º¢Ù´ò¿ª·§Ãźó£¬Á½²¿·ÖÆøÌå¿ÉÒÔÈÏΪ·¢ÉúµÄÊǵÈα仯
ÉèƽºâºóA¡¢BÄÚÀíÏëÆøÌåµÄѹǿ¾ùΪ${p}_{2}^{\;}$£¬»îÈûÏòÓÒÒƶ¯x£¬Óɲ£Òâ¶ú¶¨ÂɵÃ
AÖÐÆøÌå${p}_{1}^{\;}LS={p}_{2}^{\;}£¨L+x£©S$
BÖÐÆøÌå$\frac{1}{2}{p}_{1}^{\;}LS={p}_{2}^{\;}£¨L-x£©S$
½âµÃ$x=\frac{L}{3}$£¬${p}_{2}^{\;}=\frac{3}{4}{p}_{1}^{\;}$
¢ÚÉ轵κóÆû¸×ÄÚ»îÈûÏòÓÒÒƶ¯${x}_{0}^{\;}$£¬Á½²¿·ÖÆøÌåѹǿΪ${p}_{3}^{\;}$£¬ÓÉÀíÏëÆøÌå״̬·½³ÌµÃ
AÖÐÆøÌå$\frac{{p}_{2}^{\;}•\frac{4}{3}LS}{{T}_{0}^{\;}}=\frac{{p}_{3}^{\;}£¨\frac{4}{3}L+{x}_{0}^{\;}£©S}{0.95{T}_{0}^{\;}}$
BÖÐÆøÌå$\frac{{p}_{2}^{\;}•\frac{2}{3}LS}{{T}_{0}^{\;}}=\frac{{p}_{3}^{\;}•£¨\frac{2}{3}L-{x}_{0}^{\;}£©S}{0.95{T}_{0}^{\;}}$
½âµÃ${x}_{0}^{\;}=0$£¬¼´»îÈû²¢²»·¢ÉúÒƶ¯£¬Òò´Ë½µÎ¹ý³ÌÁ½²¿·ÖÆøÌå·¢ÉúµÄÊǵÈÈݱ仯
¶ÔAÖÐÆøÌ壬Óɲ£Òâ¶ú¶¨ÂɵÃ$\frac{{p}_{2}^{\;}}{{T}_{0}^{\;}}=\frac{{p}_{3}^{\;}}{0.95{T}_{0}^{\;}}$
½âµÃ${p}_{3}^{\;}=0.95{p}_{2}^{\;}=\frac{57}{80}{p}_{0}^{\;}$
¸ù¾ÝÆøÌå״̬ƽºâÖª£¬BÖÐÆøÌåµÄѹǿҲΪ$\frac{57}{80}{p}_{0}^{\;}$
´ð£º¢Ù»îÈûCÒƶ¯µÄ¾àÀë$\frac{L}{3}$¼°Æ½ºâºóBÖÐÆøÌåµÄѹǿ$\frac{3}{4}{p}_{1}^{\;}$£»
¢ÚÈôƽºâºó¿ÕÆøζȽµÎª0.95T£¬ÔòÆû¸×ÖлîÈû²»Òƶ¯£¬Á½Æû¸×ÖеÄÆøÌåѹǿ¾ùΪ$\frac{57}{80}{p}_{0}^{\;}$

µãÆÀ ±¾ÌâÖ÷Òª¿¼²éÆøÌåʵÑ鶨Âɼ°ÀíÏëÆøÌå״̬·½³ÌµÄÓ¦Ó㬱¾ÌâµÚÒ»Îʺܻù´¡£¬µÚ¶þÎÊÅжϻîÈûÊÇ·ñÒƶ¯ºÜ¹Ø¼ü£®