论文部分内容阅读
函数是中学数学的重要内容之一.函数的思想和方法已渗透到数学的各个方面.解题时,如果从问题所提供的信息得到其本质与函数有关,那么不妨考虑用构造函数的方法去求解.本文列举范例说明构造函数在解题中的应用. 一、证明恒等式 例1 证明 (Cn0)2+(Cn1)2+…+(Cnn)2=(2n)!/n!n!.分析:由(Cn0)2+(Cn1)2+…+(Cnn)2的外形结构,自然联想到二项展开式.再考虑到平方,引发我们构造函数:
Function is one of the important contents of high school mathematics. The function’s thoughts and methods have penetrated into all aspects of mathematics. When solving a problem, if the information provided by the problem is related to its essence and function, then you may consider using a constructor function. Solving. This article lists examples illustrating the use of constructors in problem solving. I. Proving an Identity Example 1 Proving (Cn0)2+(Cn1)2+...+(Cnn)2=(2n)!/n!n!. : From (Cn0)2+(Cn1)2+...+(Cnn)2’s shape structure, naturally associated with the binomial expansion. Taking into account the square, trigger our constructor: