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一、目的要求 1.掌握整除、倍数和约数的概念,了解整除与除尽之间的联系与区别,掌握和、差、积及有余数除法的整除性定理。 2.理解一个数能被b整除的特征的概念,掌握能被2或5,5或25,8或125,9或3,以及7,11或13整除的数的特征,并能正确熟练地判断一个数能否被以上各数整除。 3.掌握最大公约数、最小公倍数、互质和几个数两两互质等概念,理解最大公约数及最小公倍数的性质定理。 4.掌握质数与合数的概念,能运用“查表法”“试除法”正确地判断一个数是否是质数,理解“关于大于1的任何整数,至少有一个约数是质数”的定理和算术基本定理。 5.理解用分解质因数法及用辗转相除法求最
First, the purpose of requirements 1. Master the concept of divisibility, multiples and divisors, to understand the relationship between divisibility and divisibility, to master the sum, difference, product, and the divisibility theorem of division with remainders. 2. Understand the concept of a feature in which a number is divisible by b and grasp the characteristics of numbers that can be divisible by 2 or 5, 5 or 25, 8 or 125, 9 or 3, and 7, 11, or 13, and that can be correctly and skillfully Determine whether a number is divisible by the above numbers. 3. Understand concepts such as the greatest common divisor, the least common multiple, the coprime, and several numbers, and understand the theorem of the greatest common divisor and least common multiple. 4. To grasp the concept of prime number and composite number, we can use “check table method” and “test division method” to correctly judge whether a number is a prime number or not, and understand the theorem that “for any integer greater than 1, there is at least one divisor is a prime number”. Basic theorem of arithmetic. 5. Understand the use of decomposition quality factor method and the use of transfer to the division of the most