球与多面体的切、接问题,是高考中的高频考点之一,这类题型能够很好的考查空间想象能力、化归转化能力和运算能力.球的表面积与体积问题,核心是求出球的半径,如果用直接法求半径,大部分都是思路困难,运算繁杂,而如果对已知几何体作适当的割补,转化为常见的简单几何体的切接问题,往往可以收到事半功倍的效果,下面通过典例分析,抛砖引玉,感 Ball and polyhedron cut, then the problem is one of the high-frequency test centers in the entrance exam, these types of questions can be a good test of space imagination, conversion ability and computing power of the ball surface area and volume problems, the core is seeking The radius of the ball, if you use the direct method to find the radius, most of the ideas are difficult and complicated operation, and if the known geometry for the appropriate cut, converted to the common simple geometric cut problem, often can receive more with less effort The effect of the following through the classic analysis, initiate, feeling