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利用数量关系来研究图形性质,或利用图形性质来研究数量关系,是一种数与形相互转化的解题思想.这一方法在解答数学竞赛题时更为有用.例计算:3/2+5/4+9/8+(17)/(16)+(33)/(32)+(65)/(64)=(2002年湖南永州市初一数学竞赛题)
The use of quantitative relationships to study the nature of graphs, or the use of graphical properties to study quantitative relationships, is a solution to the problem of the mutual transformation of numbers and shapes. This method is more useful when solving math contest problems. Example calculation: 3/2+ 5/4+9/8+(17)/(16)+(33)/(32)+(65)/(64)=((2002 Hunan Yongzhou Junior Mathematics Competition)