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三、数学推理题
能力竞赛题中常常会出现数学知识(或叫数学推理)题,解题时需要运用到一定的数学知识。命题形式可能是图表形式,也可能是提问形式。如:How many minutes is it before 12 noon, if 48 minutes ago it was twice as many minutes past 9 a.m.?(2006NEPCS高二组初赛题) 这是一道难度不小的数学推理题,答案为:44 minutes. 因为12点整的44分钟前为11:16,而11:16的48分钟前为10:28;9:00 + (44 × 2) = 10:28. 有时还要运用到几何或代数知识,如:Find the ages of Mary, George, Alice, Claire and Stephen if the sum of the ages of two of them all as follows:Mary + George = 33 years; Alice + Claire= 95 years; Stephen + Mary = 72 years; Mary+ Claire= 87 years; Stephen + George = 73 years. 此题可用代数法求出答案,即分别用5个字母代替题中的5个人写出等式:A + B = 33; C + D = 95; E + A = 72; A + D = 87; E + B = 73可以求得:A = 16;B = 17;C = 24;D = 71;E = 56。 |