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数学对客观事物作数量关系抽象时,经常表现为数字或字母的运算,这使得符号运算中“形异而值同”的现象大量存在.数学公式(包括运算律)的左边与右边就是“形异而值同”的.解题恒等变形的每一步书写都是形异而值同的.形状不同的图形有相同的面积(或体积),也是形异而值同的一种表现.……几乎所有能用“等号”或“等价”表示的数学形式,都能够理解为形异而值同.因而“形异而值同”既表现为一项基本的数学内容,又表现为解题的一个重要基础与核心工作,它不仅能用来直接处理等式问题,而且也间接
Mathematical mathematics objectively things in the quantitative relationship between abstraction, often expressed as the operation of numbers or letters, which makes the symbolic operation “shape and value ” the phenomenon of the existence of a large number of mathematical formulas (including the arithmetic law) to the left and right is “Shape and value with the ”. The solution to the problem of equal deformation every step of writing are different and the same shape of different graphics have the same area (or volume), but also the shape and value of the same Almost all mathematical forms that can be represented by “equal sign ” or “equivalent ” can be understood as different and equal A basic mathematical content, but also as an important basis for solving problems and core work, it can not only be used directly to solve the equation problem, but also indirectly