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一对称原理对称,照字面上讲,就是两个东西相对而又相称。因此,把这两个东西对换一下,好象没有动过一样,数学中的许多对象就其某个方面(图形,关系、形式、地位、作用等等)来说,也具有这种对称的意义。如等腰三角形、平行四边形、圆锥曲线,正棱锥、旋转体等,就是具有这种对称意义的图形,某些命题的条件和结论,如一元方程的根在韦达定理中,三角形的边与角在正弦定理中所处的地位也都具有上述对称的意义。在解某些数学题时,如能充分利用命题本身或图形的对称性,常能帮助我们发现解题思路或简化解题过程。
Symmetrical symmetry, literally speaking, is that two things are relatively and commensurate. So, to swap these two things, as if they had not moved, many objects in mathematics have such symmetries in terms of their aspects (graphics, relationships, forms, status, roles, etc.). significance. Such as isosceles triangles, parallelograms, conic curves, regular pyramids, rotating bodies, etc., are the graphs with such symmetry meanings, the conditions and conclusions of certain propositions, such as the root of the one-dimensional equations in Vedic theorem, and the edges of triangles. The position of the angle in the sine theorem also has the above-mentioned symmetry significance. In solving certain mathematics problems, if we can make full use of the symmetry of the proposition itself or the graph, we can often help us find the problem-solving ideas or simplify the problem-solving process.