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1试题呈现如图1,在等边△ABC中,AB=4,点P是BC边上的动点,点P关于直线AB、AC的对称点分别为M、N,则线段MN长的取值范围是___.(2016年三明市)2学生访谈笔者在学校组织的一次毕业班水平模拟考试中选择此题(2016年三明市中考数学试题填空题最后一题)作为填空题的一道压轴题(填空题的倒数第二题),学生出错率极高,基本没有正确的.为了真实了解学生在考场上的所思所想,特别是解决此题的疑惑点
1 questions presented in Figure 1, △ △ in the equilateral, AB = 4, the point P is the edge of the BC, point P on the line AB, AC symmetrical points were M, N, then the length of the line MN (2016, Sanming City) 2 Student Interview The author chooses this question in a graduation level simulation test organized by the school (the last question of the Cumulative Title of the Mathematics Entrance Examination for Sanming City in 2016) as a finale to fill the blank Question (fill in the blank question the penultimate title), the student error rate is extremely high, the basic is not correct.In order to truly understand the students thought in the examination room, especially to solve the problem of doubt