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“补形法”是把较复杂几何体向外延伸或补加,构成简单几何体。课本中不仅贯穿将复杂问题归结为简单问题的基本思想,而且较系统地给出补形方法。如在求斜棱柱侧面积时,是把斜棱柱的直截面下面部分,“补形”到上方组成直棱柱,在求圆台侧面积时,是把圆台侧面展开图,“补形”成圆锥侧面展开图。在求三棱锥体积时,是把它“补形”成一个三棱柱,然后再把这个三棱柱“割成”三个等积的三棱锥。在
“Complementary method” is to extend or add more complex geometry to form a simple geometry. Textbooks not only go through the basic idea of resolving complex problems into simple ones, but also give a more systematic method of complementing. If the side area of the inclined prism is calculated, the lower part of the straight section of the inclined prism is “complemented” to the upper part to form a straight prism. When the area of the round table is determined, the side of the round table is expanded, and the “complement” is formed into a cone side. Expanded view. When calculating the triangular pyramid volume, it is “complemented” into a triangular prism, and then “triangulates” the triangular prism into three equal-area triangular pyramids. in