辽宁师范大学硕士学位论文
大型超市有哪些
摘要
最值问题不仅是高中数学教学的重要内容，也是高考出现频率较高的重要考点之一，但在最值问题的实际教学中，往往面临着课时少、类型多、知识难、方法繁等问题.许多高中生对最值问题的类型缺乏全面认识，导致不能灵活地运用其方法解题，造成在考试中严重失分.因此，系统而全面地掌握各类最值问题的求解方法，灵活的应用是十分必要的.本文依据2017年新课标提出的教育理念，以及新课标对最值问题提出的具体要求.对高中数学最值问题的类型、解题思路、方法以及高中数学最值问题的高考考点、教师对最值问题的教学现状和学生对最值问题的学习情况进行了研究.
本文采用了文献研究法、调查分析法和测试法来进行研究.在了解了一些专家学者对高中数学最值问题的研究之后，将最值问题分为初等函数最值问题、解析几何中的最值问题、数列中的最值问题、实际应用中的最值问题、不等式中的最值问题、目标函数中的最值问题及含参不等式中的最值问题七种类型.对以上问题提供合适的解决问题的方法和技巧.通过利用访谈法、问卷调查法及测试法了解目前高中数学最值问题的教师教学现状及学生的学习情况.通过对访谈、问卷调查和测试结果的分析统计，找到目前高中数学最值问题教与学中所存在的问题，并给予一些意见和建议.
研究表明学生对最值问题学习兴趣不高、题型分类掌握不清楚、对每种类型题的解法存在困难；其次教
师在教学中对最值问题所涉及的数学思想方法的渗透并不是十分到位，最值问题的归纳性分类讲解比较欠缺等等.对以上的调查分析提供给教师一些教学建议，倡导教师在课堂教学中注重启发探究式教学，发挥教师主导、学生主体的教学原则；将数学文化融入到课堂当中，感受数学文化的魅力，注重理论与实践的结合，增强学生数学应用意识；将数学思想方法逐步渗透到实际教学中，从而为更好地解决数学最值问题提供多种方法和思路，对新课程标准的顺利实施起到积极有效的推动作用.
关键词：最值问题；问卷调查；数学思想方法
新课标下高中数学最值问题的研究
Rearch on High School Mathematics Optimal Value Problem under the
New Curriculum Standard
Abstract
穿过硝烟
The Optimal Value Problem is not only an important part of high school mathematics
teaching,but also one of the important test sites for the high frequency of college entrance
晚上几点泡脚最好
examinations.However,in the actual teaching of the most valuable questions,it often faces problems such as less class hours,more types,less knowledge,and complicated methods.
Many high school students lack a comprehensive understanding of the types of the Optimal Value Problem,resulting in the inability to u their methods to solve problems,resulting in rious loss of scores in the exam.Therefore,systematically and comprehensively grasp the solution methods of the Optimal Value Problem,how to flexible u it is very necessary.This
article is bad on the educational concept put forward by the2017New Curriculum Standard,
and the specific requirements of the New Curriculum Standard for the Optimal Value Problem.
The type of the Optimal Value Problem in high school,the solution ideas,methods and the test center of the college entrance examination,the teacher's teaching status of the Optimal Value Problem and the students'study of the Optimal Value Problem were studied.
This paper us literature rearch methods,survey analysis methods and test methods to
conduct rearch.After understanding some experts and scholars'rearch on the Optimal Value Problem of high school mathematics,the Optimal Value Problem is divided into the Optimal Value Pr
oblem of elementary function,the Optimal Value Problem in geometry,the Optimal Value Problem in the ries,the Optimal Value Problem in the u of life.,the Optimal Value Problem in the inequality,the Optimal Value Problem in the objective function,and the ven types of the Optimal Value Problem in the inequality.Provide appropriate methods and techniques for solving the above problems.By using interview methods,questionnaires and The test method understands the current teaching status of teachers in the high school mathematics and the students'learning situation.Through the analysis and statistics of interviews,questionnaires and test results,we find the problems in the teaching and learning of the Optimal Value Problem in high school mathematics,and give Some comments and suggestions.
The rearch shows that students have low interest in learning the Optimal Value Problem, the classification of questions is unclear,and it is difficult to solve the problem of each type of problem.Secondly,the teacher's penetration of the mathematical thinking methods involved the problem is not very good.The inductive classification of the Optimal Value Problem
explains the lack of comparison etc.The above analysis provides teachers with some teaching suggestions,advocates teachers to focus on inspiring inquiry teaching in classroom teaching, and gives full play to the teacher-led and student-oriented teaching principles;Math culture is integrated i
nto the classroom,feels the charm of mathematics culture,pays attention to the combination of theory and practice,enhances the students'awareness of mathematics application;gradually infiltrates the mathematical thinking method into the actual teaching, thus providing multiple methods for better solving the mathematics Optimal Value Problem.And ideas,play a positive and effective role in the smooth implementation of the New Curriculum Standards.
Key Words：Optimal Value Problem；Questionnaire Investigation；Mathematical Thought and Method
目录
摘要............................................................................................................................. I Abstract ...................................................................................................................................... II 1 绪论.. (1)
1.1 研究背景 (1)
1.1.1 新课标对高中数学教学的要求 (1)
1.1.2 新课标对最值问题的具体要求 (1)
1.2 研究概况 (2)
1.3 研究意义 (3)
1.4 研究问题 (3)
1.5 研究方法 (3)
1.5.1 文献研究法 (3)
1.5.2 调查分析法 (3)
1.5.3 测试法 (4)
2 高中数学最值问题常见类型及解法 (5)
2.1 初等函数中的最值问题 (5)
2.2 解析几何中的最值问题 (8)
2.3 不等式中的最值问题 (16)
熊猫便当2.4 数列中的最值问题 (18)
2.5 实际应用中的最值问题 (21)
2.6 目标函数中的最值问题 (24)
2.7 含参量不等式中的最值问题 (27)
3 高中数学最值问题现状调查分析 (32)
3.1 历年高考试题调查分析 (32)
3.2 教师教学情况调查分析 (34)
3.3 学生学习情况调查分析 (36)
3.3.1 问卷调查分析 (37)
3.3.2 测试结果分析 (41)
4 高中数学最值问题的教学建议 (46)
4.1 设置导学案 (46)
银行定期存款
cad圆弧标注
4.2 注重探究性学习 (46)
4.3 加强对最值问题数学思想方法的渗透 (46)
4.3.1 数形结合的思想方法 (46)
4.3.2 分类讨论的思想方法 (47)
4.3.3 转化与化归的思想方法 (49)
4.3.4 数学建模的思想方法 (49)
4.4 教学中使用先进的教学手段 (50)
4.5 注重培养学生的应用意识 (51)
如何与姑娘聊天
4.6 将数学文化融入数学教学活动中 (51)
气虚吃什么药结论 (52)
参考文献 (53)
附录A 关于学生最值问题学习情况的调查问卷 (55)
附录B 关于学生最值问题学习情况的测试卷 (56)
致谢 (57)
