文献[1]指出学生利用基本不等式求最值时容易犯的错误,并从代数的角度给出了解释。在实际教学中,这样的问题的的确确存在。笔者深受启发,从形的角度给出更为直观的解释,并结合学生学习过程中的几个易错点,形成一个数形结合剖析错因的专题,讲解后效果不错。现与各位同仁分享。1基本不等式求最值的易错点文献[1]的困惑:已知x>0,y>0,且x+y=1, Reference [1] points out the mistakes that students make when they use the basic inequality to find the most value, and gives an explanation from the perspective of algebra. In actual teaching, such a problem does exist. The author is deeply inspired to give a more intuitive explanation from the perspective of form, and combine several error-prone points in the process of student learning so as to form a few special topics that analyze the causes of the wrong reasons and explain well. Now with my colleagues to share. 1 basic inequality seeking the most value error-prone literature [1] Puzzle: Known x> 0, y> 0, and x + y = 1,