小編為大家?guī)鞧MAT數(shù)學(xué)的基礎(chǔ)內(nèi)容,希望對大家GMAT備考有所幫助。 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,都指正數(shù)。1和0既不是質(zhì)數(shù),也不是合數(shù),以上是比較簡單的數(shù)學(xué)GMAT考試介紹。 5.GMAT數(shù)學(xué)考試中中的重要概念: * 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 *公約數(shù) 幾個數(shù)所公有的*因子稱*公約數(shù),諸如:48與36的公因子有1,2,3,4,6,12,其中12為*公約數(shù)。 * the least common multiple最小公倍數(shù)
幾個數(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)平均值也是首項和末項的算術(shù)平均值。 同理,連續(xù)奇數(shù)與連續(xù)偶數(shù)的算術(shù)平均值也是首項和末項的算術(shù)平均值。