新课程标准中提倡“通过解决问题的反思,获得解决问题的经验”.在平时的习题教学中,通过一题改编,特别是初三总复习的教学与测试中,我们经常喜欢改编中考题,以期达到“举一反三”的理想效果,来提升学生灵活运用知识规律分析与处理问题的能力.在研究各地数学中考题时,发现有些中考题都有相似之处,于是我选择了几道中考题进行了研究.例1如图1,在等边三角形ABC外侧作直线AP,点B关于 In the new curriculum standard, we advocate “to solve the problem through the reflection to get the problem-solving experience.” In the usual exercise teaching, through the adaptation of a question, especially in the third year of the general review of teaching and testing, we often like to adapt the test In order to achieve the desired effect of “giving top priority to others”, to enhance students’ abilities to analyze and deal with problems flexibly using knowledge rules.When studying the test questions in mathematics, we found that some of the test questions have similarities, so I chose a few Road test questions were studied in Example 1 as shown in Figure 1, outside the equilateral triangle ABC for a straight line AP, B on