论文部分内容阅读
数学教育家G·波利亚曾提出,教师“应该能够拿出一个有意义的但又不太复杂的题目,去帮助学生发掘问题的各个方面,使得通过这道题,就好像通过一道门户,把学生引入一个完整的理论领域.”问题已知x,y是实数,若4x~2+y~2+xy=1,求2x+y的最大值.笔者在高二迎考复习时发现学生对基本不等式这一节内容掌握得不很好,表现在学生不知道怎么使用基本不等式,有些即使用
G. Polia, a mathematics educator, has suggested that teachers “should be able to come up with a meaningful but less complicated topic to help students explore all aspects of the problem so that it is as if through a portal , The students into a complete theoretical field. ”Problem known x, y is a real number, if 4x ~ 2 + y ~ 2 + xy = 1, find the maximum value of 2x + y. Students do not master the basic inequalities in this section, because students do not know how to use basic inequalities and some use them