解题的实质是实现由题设到结论的转化．一些数学问题常给人条件不足的假象，给解题带来困难．解决这个矛盾行之有效的方法是挖掘隐含条件，辅以有效增设．所谓有效增设就是对所解的问题，在不改变题意的前提下，增加部分条件使得问题顺利求解．1挖掘隐含条件隐含条件是已知本身 The essence of problem solving is to realize the transformation from the question design to the conclusion. Some mathematical problems often give people an illusion of insufficient conditions, which makes it difficult to solve problems. The effective method to solve this contradiction is to mine implicit conditions and supplement them with effective additions. The so-called effective addition is to solve the problem. Without changing the meaning of the question, adding some conditions makes the problem solved smoothly. 1 Mining implicit conditions Implicit conditions are known per se