GMAT數(shù)學(xué)復(fù)習(xí)，對(duì)于許多準(zhǔn)備參加GMAT考試的考生來說，是一個(gè)艱苦的過程。雖然GMAT數(shù)學(xué)考查的內(nèi)容相當(dāng)于內(nèi)地初中，但是將GMAT數(shù)學(xué)放在英語語境下，讓很多考生很不習(xí)慣，再加上GMAT數(shù)學(xué)強(qiáng)調(diào)的實(shí)際應(yīng)用能力，更為考生增加了難度。作為GMAT數(shù)學(xué)基本功的算術(shù)，卻是內(nèi)地考生所熟悉的，就讓專家?guī)湍阒渍校瑥乃阈g(shù)上尋找突破口。
一.整數(shù)：integer，whole number
1.因子：factor or divisor
If x and y are integers and x≠0,x is a divisor (factor) of y provided that y=xn for some integer n. In this case y is also said to be divisible by x or to be a multiple of x. For example, 7 is a divisor or factor of 28 since 28=7 4, but 8 is not a divisor of 28 since there is no integer n such that 28=8n.Divisible adj.可以被整除的 multiple n.倍數(shù)
2.商和余數(shù)：quotients and remainders
余數(shù)和商都可以為0
3.奇數(shù)和偶數(shù)：odd and even integers
奇數(shù)和偶數(shù)都可以是負(fù)數(shù);零一定是偶數(shù)
4.質(zhì)數(shù)和合數(shù)：prime numbers and composite numbers
A prime number is a positive integer that has exactly two different positive divisors，1 and itself. For example, 2,3,5,7,11, and 13 are prime numbers, but 15 is not, since 15 has four different positive divisors, 1, 3, 5, and 15. The number 1 is not a prime number, since it has only one positive divisor. Every integer greater than 1 is either prime or can be uniquely expressed as a product of prime factors. For example, 14= (2) (7), 81= (3) (3) (3) (3), and 484= (2) (2) (11) (11).
注:除了1和其本身外,還有其他因子的數(shù)叫合數(shù)。最小的質(zhì)數(shù)為2，最小的合數(shù)為4，在討論質(zhì)數(shù)和合數(shù)時(shí)，都指正數(shù)。1和0既不是質(zhì)數(shù)，也不是合數(shù)。
5.整數(shù)中的重要概念：
* Perfect square完全平方數(shù)，諸如9 = 32
* Perfect cube 完全立方數(shù)，諸如8 = 23
* the greatest common divisor 最大公約數(shù)
幾個(gè)數(shù)所公有的最大因子稱最大公約數(shù)，諸如：48與36的公因子有1，2，3，4，6，12，其中12為最大公約數(shù)。
* the least common multiple最小公倍數(shù)
幾個(gè)數(shù)所公有的最小倍數(shù)稱最小公倍數(shù)，諸如：3，7和14的最小公倍數(shù)為42。
*連續(xù)正整數(shù)的算術(shù)平均值也是首項(xiàng)和末項(xiàng)的算術(shù)平均值。
同理，連續(xù)奇數(shù)與連續(xù)偶數(shù)的算術(shù)平均值也是首項(xiàng)和末項(xiàng)的算術(shù)平均值。
GMAT數(shù)學(xué)復(fù)習(xí)，最關(guān)鍵是將基礎(chǔ)打牢。GMAT數(shù)學(xué)的基礎(chǔ)就是算術(shù)能力，如果連算術(shù)能力都掌握不好，就更不用提GMAT數(shù)學(xué)能力的提高了。GMAT數(shù)學(xué)算術(shù)，其實(shí)跟國內(nèi)無異，GMAT數(shù)學(xué)算術(shù)因此可以算是一個(gè)良好的突破口，考生在GMAT數(shù)學(xué)復(fù)習(xí)時(shí)，要牢牢把握這一點(diǎn)。