文[1]介绍了直线与圆有公共点在解题中的妙用,笔者读后受益颇多.由于平面中的直线与圆有公共点类推到空间中就是平面与球面有公共点,所以它们有许多相似之处.受此启发,笔者探究了平面与球面有公共点在解题中的应用,结果发现:用其解题不仅高效,而且简洁.先介绍本文用到的空间中一些基本结论:(1)平面方程:Ax+By+Cz+D=0;(2)球面方程:(x-a)2+(y-b)2+(z-c)2=r2; Wen [1] introduced the straight line and the circle has a common point in the problem-solving magical effect, I read a lot of benefit.Because the plane of the line and the circle has a public point analogy into the space is the plane and the spherical common point, so they There are many similarities.On this basis, the author explores the application of the common point between plane and sphere in solving problems, and finds that it is not only efficient and concise to solve the problem, but also introduces some basic conclusions of the space used in this article : (1) Planar equation: Ax + By + Cz + D = 0; (2) Spherical equation: (xa) 2+ (yb) 2+ (zc) 2 = r2;