用“构造法”解数学题是一种综合运用知识的解题过程,它需要学生具备良好的素质,丰富的想象,开阔的思路。而这些品质的具备恰靠我们去引导。我们尝试构造单调函数证明不等式穿插在高中各阶段对培养学生的解题思路很有裨益。高一阶段,学生学习了函数的单调性后,即可进行这种训练。对函数 Solving mathematics problems with the “construction method” is a comprehensive problem solving process using knowledge. It requires students to have good qualities, rich imagination, and broad ideas. And the quality of these just depends on us to guide. We try to construct a monotonic function to prove that the inequality is intertwined in all stages of high school and it is very helpful to train students in solving problems. At the first stage, students can learn this function after it is monotonous. Function