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在北京市试验教材数学第11册中,有分数除法的探索规律教学内容,其中包含有特殊的分数除法问题:在分数a/b和d/c中,如果a能被d整除,b能被c整除,那么a/b÷d/c=(a÷d)/(b÷c),例如:3/8÷3/4=(3÷3)/(8÷4)=1/2,4/9÷2/3=(4÷2)/(9÷3)=2/3等。学生在学习这部分知识时,产生了极高的兴趣。他们提出了许多有关分数除法的问题,也引发了我和学生的积极思考和大胆的尝试。我们设想,既然在分数a/b和d/c中,a能被d整除,
In the 11th edition of Beijing Experimental Textbook Mathematics, there is the teaching content of the exploration rule of fractional division, which contains the special problem of fractional division: if a can be divided by d in fractions a / b and d / c, b can be for example, 3/8 ÷ 3/4 = (3 ÷ 3) / (8 ÷ 4) = ½, then a / b ÷ d / c = (a ÷ d) / (b ÷ c) 4/9 ÷ 2/3 = (4 ÷ 2) / (9 ÷ 3) = 2/3. Students have a great interest in learning this part of knowledge. They raised many questions about the division of scores, and they also provoked positive thinking and bold attempts by both myself and my students. We assume that since a can be divisible by d in fractions a / b and d / c,