中文摘要：

De Moivre—Laplace定理作为独立同分布中心极限定理的一种特殊情形，为近似计算二项分布的概率提供了一种简捷的方法。文中主要对应用De Moivre—Laplace定理解题时容易产生不同结果的原因作了细致的分析，有助于帮助学生进一步理解中心极限定理的本质含义，同时对教学与教材的编写有一定的启示作用。

英文摘要：

As a special type of the central limit theorem with independent and identical distribution, De Moivre-Laplace theorem provides a convenient way to approximately calculate the probability of binomial distribution. This paper conducts an in - depth analysis of the reasons why there might be different solutions for the same question when De Moivre-Laplace theorem is applied. It is conductive to helping students to futher understand the essence of central limit theorem, and may also enlighten the teaching work and the compilation of textbooks.