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教学目标:经历探索同底数幂除法的运算性质的过程,体会幂的意义.理解同底数幂的除法运算性质,能解决实际问题.重点:同底数幂的除法运算性质及其应用,理解零指数和负整数指数幂的意义.难点:探索同底数幂的除法性质的过程.教学过程:一、前置诊断,复习旧知师:我们在前面学习了幂的有关运算性质,这些运算都有哪些?如何用字母表示呢?生1:同底数幂的乘法,底数不变,指数相加.a~m.a~n=a~(m+n)(m,n是正整数).生2:幂的乘方,底数不变;指数相乘.即(a~m)~n=a~(mn)(m,n都是正整数).生3:积的乘方等于积中每个因式分别乘方,再把
Teaching Objectives: Experience the nature of the operation of exploring the same division of powers at the end of the process, understand the power of the meaning of understanding the power of the same base divisive nature of the problem can solve practical problems.Highlights: the same base power divider nature and its application to understand the zero index And the meaning of the negative integer exponential power. Difficulty: to explore the process of dividing the same number with the power of the end. Teaching process: First, pre-diagnosis, review Old teacher: We studied in front of the power of the nature of the operation, these operations have? How to use the alphabet to express it? Student 1: Multiplication at the same power, base constant, add the exponents a ~ ma ~ n = a ~ (m + n) (m, n is a positive integer) (A ~ m) ~ n = a ~ (mn) (m, n are positive integers). Student 3: The product of the product is equal to the product of each factor by the square And then