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自从初中《平面几何》中引入了“对称图形”后,“对称”的概念便以既具体又抽象、既容易又为难的矛盾形式存留于师生的脑海之中。到了高中出现了奇、偶函数的图象关于坐标轴的对称;原函数与其反函数的图象关于直线y=x对称;《解析几何》中的点关于点、坐标轴、直线对称及曲线关于点、线对称……等问题。对称贯穿于中数学习的始终,是不能忽略和回避的问题。本文试图用解析的方法从整体上组合并拓展中数中对称的某些
Since the introduction of “symmetry graphics” in the “plane geometry” of junior middle school, the concept of “symmetry” has remained in the minds of teachers and students in a paradoxical form that is both concrete and abstract and easy and difficult. In high school, the symmetry of the coordinates of the odd and even functions appears on the coordinate axis; the image of the original function and its inverse function is symmetric about the straight line y=x; the points in “Analytic Geometry” relate to points, coordinate axes, line symmetry, and curves. Point, line symmetry ... and other issues. Symmetry runs through the middle of learning, it can not be ignored and avoided. This article attempts to use analytical methods to combine and expand the symmetry of the number