ÌâÄ¿ÄÚÈÝ
¼×É̵êijÖÖÉÌÆ·4Ô·ݣ¨30Ì죬4ÔÂ1ÈÕΪµÚÒ»Ì죩µÄÏúÊÛ¼Û¸ñP£¨Ôª£©Óëʱ¼ät£¨Ì죩º¯Êý¹ØϵÈçͼ£¨Ò»£©Ëùʾ£¬¸ÃÉÌÆ·ÈÕÏúÊÛÁ¿Q£¨¼þ£©Óëʱ¼ät£¨Ì죩º¯Êý¹ØϵÈçͼ£¨¶þ£©Ëùʾ£®
¢Ùд³öͼ£¨Ò»£©±íʾµÄÏúÊÛ¼Û¸ñÓëʱ¼äµÄº¯Êý¹ØϵʽP=f£¨t£©£¬Ð´³öͼ£¨¶þ£©±íʾµÄÈÕÏúÊÛÁ¿Óëʱ¼äµÄº¯Êý¹ØϵʽQ=g£¨t£©£¬¼°ÈÕÏúÊÛ½ð¶îM£¨Ôª£©Óëʱ¼äµÄº¯Êý¹ØϵM=h£¨t£©£®
¢ÚÒÒÉ̵êÏúÊÛͬһÖÖÉÌÆ·£¬ÔÚ4Ô·ݲÉÓÃÁíÒ»ÖÖÏúÊÛ²ßÂÔ£¬ÈÕÏúÊÛ½ð¶îN£¨Ôª£©Óëʱ¼ät£¨Ì죩֮¼äµÄº¯Êý¹ØϵΪN=-2t2-10t+2750£¬±È½Ï4Ô·ÝÿÌìÁ½É̵êÏúÊÛ½ð¶îµÄ´óС£®
¢Ùд³öͼ£¨Ò»£©±íʾµÄÏúÊÛ¼Û¸ñÓëʱ¼äµÄº¯Êý¹ØϵʽP=f£¨t£©£¬Ð´³öͼ£¨¶þ£©±íʾµÄÈÕÏúÊÛÁ¿Óëʱ¼äµÄº¯Êý¹ØϵʽQ=g£¨t£©£¬¼°ÈÕÏúÊÛ½ð¶îM£¨Ôª£©Óëʱ¼äµÄº¯Êý¹ØϵM=h£¨t£©£®
¢ÚÒÒÉ̵êÏúÊÛͬһÖÖÉÌÆ·£¬ÔÚ4Ô·ݲÉÓÃÁíÒ»ÖÖÏúÊÛ²ßÂÔ£¬ÈÕÏúÊÛ½ð¶îN£¨Ôª£©Óëʱ¼ät£¨Ì죩֮¼äµÄº¯Êý¹ØϵΪN=-2t2-10t+2750£¬±È½Ï4Ô·ÝÿÌìÁ½É̵êÏúÊÛ½ð¶îµÄ´óС£®
¢ÙÉè¼Û¸ñº¯ÊýÊÇy=kt+b£¬¹ýµã£¨0£¬15£©¡¢£¨30£¬30£©£¬Ôò
⇒l
£»
¡àf(t)=
t+15(0£¼t¡Ü30£¬t¡ÊN)£»
ÉèÏúÊÛÁ¿º¯Êýy=at+m£¬¹ýµã£¨0£¬160£©£¬£¨30£¬40£©£¬
Ôò
⇒
£»
¡àg£¨t£©=-4t+160£¨0£¼t¡Ü30£©£¨t¡ÊN£©£»
ÔòM=(
t+15)(-4t+160)=-2t2+20t+2400(0£¼t¡Ü30£¬t¡ÊN)£®
¢ÚN=-2t2-10t+2750£¨t¡ÊN£©£¬ÔòQ(t)=M-N=30t-350
£¨t¡ÊN£©£¬
¼´Ç°11Ìì¼×É̵êÏúÊÛ¶îÉÙ£¬ÒÔºóÒÒ¾ù±È¼×ÉÙ£®
|
|
¡àf(t)=
1 |
2 |
ÉèÏúÊÛÁ¿º¯Êýy=at+m£¬¹ýµã£¨0£¬160£©£¬£¨30£¬40£©£¬
Ôò
|
|
¡àg£¨t£©=-4t+160£¨0£¼t¡Ü30£©£¨t¡ÊN£©£»
ÔòM=(
1 |
2 |
¢ÚN=-2t2-10t+2750£¨t¡ÊN£©£¬ÔòQ(t)=M-N=30t-350
|
¼´Ç°11Ìì¼×É̵êÏúÊÛ¶îÉÙ£¬ÒÔºóÒÒ¾ù±È¼×ÉÙ£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿