Re: [高中] 多項式難題

看板Math作者asilzheng (囧)時間13年前 (2012/08/05 15:26)推噓2(2推 0噓 0→)

留言2則, 2人參與討論串2/6 (看更多)

※ 引述《iddee ()》之銘言： : 設 f(x) 是三次多項式且滿足 : f(1981) = 1 : f(1982) = 9 : f(1983) = 8 : f(1984) = 5 : 求 f(1985) 1*(x - 1982)*(x - 1983)*(x - 1984) f(x) = ------------------------------------------- (1981 - 1982)*(1981 - 1983)*(1981 - 1984) 9*(x - 1981)*(x - 1983)*(x - 1984) + ------------------------------------------- (1982 - 1981)*(1982 - 1983)*(1982 - 1984) 8*(x - 1981)*(x - 1982)*(x - 1984) + ------------------------------------------- (1983 - 1981)*(1983 - 1982)*(1983 - 1984) 5*(x - 1981)*(x - 1982)*(x - 1983) + ------------------------------------------- (1984 - 1981)*(1984 - 1982)*(1984 - 1983) f(1985) = 1 * (6)/(-6) + 9 * (8)/(2) + 8 * (12)/(-2) + 5 * (24)/(6) = -1 + 36 - 48 + 20 = 7 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 114.24.56.190

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jacky7987

08/05 15:35, , 1^F

08/05 15:35, 1^F

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craig100

08/06 02:42, , 2^F

08/06 02:42, 2^F

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