用Mathematica软件求解三维图形投影的边界线方程

Solving the Boundary Equation of 3D Projection with Mathematica

摘要: 在给定多个曲面方程的情况下，要得到多个曲面围成的空间在3个坐标平面上的投影的图形边界线方程，可利用Mathematica软件绘制空间图形来使问题形象化和直观化，通过Mathematica软件的函数可视化技术和对可选项的选择，可以得到比较理想的空间图形，便于解决获取的边界线方程问题以及解决其他有关投影问题，比如对积分求解过程的简化。

Abstract: In the case of a given surface equation, we need to obtain the equation of the boundary line of the projection of multiple surfaces in three coordinate planes. We can use Mathematica to draw space graphics to visualize the problem. Through the Mathematica software function of visualization technology and choice of options, we can obtain the ideal space graph, easy to solve the boundary equation problem and solve other related projection problems, such as the simplification of the integral solution process.