2002年“希望杯”全国数学邀请赛试题(初二)中有两道题,题目很巧妙,富于思考性,但考生中得分率不高,究其原因,学生还不太熟悉用构造法来解题.现分析解答如下. There were two questions in the “Hope Cup” National Mathematics Invitational Examination (2nd grade) in 2002. The topics were very clever and thought-provoking, but the candidates did not have a high score. The reason was that the students were not yet familiar with the construction method. Problem solving. Analysis and answer are as follows.