一、问题的产生——“不安分”引发的思维躁动.人教A版高中数学必修2立体几何教学中,学生问过这么一个问题:问题:三个平面至多能把空间分割成几个区域?这是立体几何中的一个常见问题,能够很好地考查学生的空间想象能力.利用空间直角坐标系中的坐标平面很容易得出本题的解:三个平面至多能把空间分割成8个区域.笔者突然有一种“不安分”的想法:如果是四个平面呢,至多能把空间分割成几个区域呢?花了一些功夫笔者才得出答案,四个平面至 One, the problem - “restless ” caused by thinking restless.People teach A version of high school mathematics compulsory 2 three-dimensional geometry teaching, students asked such a question: Question: at most three planes can be divided into several space This area is a common problem in the three-dimensional geometry, can well examine the student’s spatial imagination.Using the coordinate system of rectangular space coordinate system is easy to draw the solution of this problem: the three planes can at most divide the space into 8 regions.I suddenly have a “restless ” idea: If it is four plane it, at best can divide the space into several regions? Spent some effort before the author came to the answer, the four plane to