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經驗証明:当学生懂得辛普松求積公式并知道它的奥妙时,会激起濃厚的学習兴趣;同时对辛普松公式的万能价值亦表示無限的讚美。本文想就如何使学生易于了解辛普栓公式,以及基于他們的水平說明它的万能价值發表一点意見,请同志們指正。辛普松公式的証明,在1954年出版的高中立体几何課本上是比較难懂的,同时書中114頁110圈的拟柱也画得特殊,实际上,当拟柱的各侧面都为梯形时,該拟柱已是稜台了。而对于特殊的拟柱——稜台,辛普松公式又可以这样導出:
Experience shows that when students know the Simpsons quadrature formula and know its mysteries, it will stimulate a strong interest in learning; at the same time, it also expresses infinite praise for the universal value of Simpson’s formula. This article would like to make some comments on how to make students easy to understand the Simper formula, and to explain its universal value based on their level. Please comrades correct me. The proof of Simpson’s formula was difficult to understand in the textbook of high school solid geometry published in 1954. At the same time, the 114-page, 110-lap quasi-column in the book is also drawn in a special way. In fact, when the sides of the quasi-column are all trapezoidal At that time, the quasi-column was already a pyramid. For special quasi-columns, the Simpson formula can be derived as follows: