【摘要】 数学模型∑nk =1 k2 =12 n(n + 1) (2n + 1)在数学教学和工程实际中应用广泛。本文用几何法、物理法、代数法和微分法论述了它的几种颇为有趣的建立方法 ,这些方法对于其他数学模型的建立也有很好的启示作用更多还原

【Abstract】 The mathematical model ∑nk=1k 2=12n(n+1)(2n+1) is widely used in the mathematics teaching and practice.The paper expounds some quite interesting foundation methods of the mathematical model with geometry,algebra,physics and differentiation method,which have a good deal of enlightment to the foundation of other mathematical models.更多还原