针对微积分中的抽水做功相关物理问题，结合实际生活场景和工程背景，以微元法和三重积分方法，考虑容器竖直

放置和倾斜放置两种情况，建立了容器竖直放置以及吸管不同位置的做功模型，容器倾斜液体未流出的做功模型，以及容器

倾斜液体流出情形的做功模型，并进行数值仿真，得出的相关理论具有较强的实际应用和理论参考价值.

Considering the physical problem of pumping power，infinitesimal method and triple integral are used in this paper，combined scenes of real life and engineering background. Considering the container placed vertically and tilted，the model of vertical condition and the different positions of the straw，the model of tilted condition and liquid not flowing out，and the model of tilted condition and liquid flowing out of the container are established. Through numerical simulation，the strong practical application and the value of theoretical reference are pointed out.