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罗增儒先生著《数学解题学引论》一书中有这么一道方程题:(例5—34)解方程组罗先生利用配方法巧妙地解决了这个问题,其中用到的配方技巧一般不易想到.仔细观察发现:方程组中第一个方程表示一个球面,第二个方程表示一个平面,现在我们只需要考查这个平面与球面的位置关系
Mr. Luo Zengru’s book “Introduction to Mathematical Problem Solving” has such an equation: (Example 5-34) Mr. Luo used the matching method to solve this problem skillfully. The formula skills used are not easy to think of. . A closer look shows that the first equation in the system of equations represents a sphere and the second equation represents a plane. Now we only need to examine the positional relationship between the plane and the sphere.