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1.问题的提出在人教A版教材必修二的第30页上有这样一个问题:分别以一个直角三角形的斜边、两直角边所在的直线为轴,其余各边旋转一周形成曲面围成三个几何体,画出他们的三视图和直观图,并探讨它们体积之间的关系.对于这道题,要得出它们体积之间的关系并不难,若设该直角三角形的两直角边长分别为a,b,斜边长为c,分别以边a,b,c所在的直线为轴,其余各边旋转一周形成曲面围成三个几何体的体积
1. The problem is presented on the 30th page of Mandatory A’s edition of the second edition of the compulsory textbook. There is a problem in which the sides of the right-angled triangle are respectively the oblique side and the right-angled side. The rest of the sides are rotated one week to form a curved surface. Three geometries, draw their three-views and visual plots, and discuss the relationship between their volumes. For this question, it is not difficult to draw the relationship between their volumes, if the two right-angled sides of the right-angled triangle are set The lengths are a and b, respectively, and the length of the hypotenuse is c. Take the line where the edges a, b, and c respectively as the axis, and rotate the rest of the sides one by one to form a volume that encloses the surface into three geometries.