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我们知道,立体几何中有关球的问题常常利用平面几何中圆的有关性质、定理和计算法则去解决.高考中对球体的要求是会求球的表面积和体积,其中球体与长方体或正方体的组合是最常见的题型.而解决这类问题的主要方法是借助于截面进行.下面笔者就结合两道例题加以说明.首先介绍最常见的几种球体与正方体的截面图:1.正方体的内切球
We know that the problem of the ball in the three-dimensional geometry is often solved by using the properties, theorems and calculation rules of the circle in the plane geometry. The requirement for the ball in the college entrance examination is to find the surface area and volume of the ball, wherein the sphere is combined with a rectangular parallelepiped or cube. Is the most common question type. The main method to solve this type of problem is to use the cross section. The following author will explain the combination of two examples. First of all, introduce the most common cross-sectional diagram of several spheres and cubes: 1. Within the cube Cut the ball