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五年制统编教材第十册中圆柱体表面积公式的推 导,可以作进一步的延伸。用几何变形的方法,将求圆 柱体的表面积转化为求一个长为c宽为(h+r)的长方 形面积,原公式s=2πrh+2πr~2变形为:s=c(h+r)。其 推导过程如下图所示。
The derivation of the cylinder surface area formula in the tenth year of the five-year system of compilation and education materials can be further extended. Using the method of geometric deformation, the surface area of a cylinder is transformed into a rectangular area of length (h + r). The original formula s = 2πrh + 2πr ~ 2 is transformed into: s = c . The derivation process as shown below.