Of the positive integers that are multiples of 30 and are less than or equal to 360, what fraction are multiples of 12?
其实呢,如果没有这个倒装,应该没有任何问题:What fraction of the positive intergers that are multiples of 30 and are less than or equal to 360 are multiples of 12?主要就是一个阅读的问题:A占B的几分之几用英文解释是:what fraction of B are A 。因此,这个问题就归结于阅读问题,而这个阅读的问题不在于单词,而在于这么一点:不仅仅是单词,一些数学里面很口语化的内容用英文怎么表达?
提供一种解决的方法:在题目里面遇到了这样的说法,自己翻译出来,然后再用同样的语言来造句和自己出题给自己做。
比如, 遇到了fraction这个结构以后,自己给自己出个题目:of the positive integers that are less than or equal to 100, what fraction are prime numbers?
以下一些口语化的数学语言,希望同学们自己完成练习:
A和B成比例
A和B相似
A打了八折
A的5次方
A的倒数的完全平方的绝对值
还有一种情况也可以归为单词认识但是不会做的情况,这个情况可以认识是GRE数学题生造定义,必须慢慢熟悉他们的说法。
比如最经典的题型就是10里面有多少个1/4的题目,说白了是数数题,但也能让人为之一愣。
再比如:In country A , a person is born every 3 seconds and a person dies every 20 seconds. Therefore, the birth and death rates account for a population growth rate of one person every___ seconds。
这个题目就属于生造概念:一般来说出生率是以秒为单位,而这个题目以人为单位:每出生一个人需要多少秒。正常点都不会这么干,但是在英语里确实能遇到这样的问题:实际上也就是把分子分母颠倒了而已。
所以,针对这种情况,我们可以设想:凡是有多少多少单位每秒,每小时的,都可以倒过来练习一下,并且千万要坚信自己,这个题目一定没有想象中的难,只不过是颠倒了,或者绕了一下而已。
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