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The Application Of Function Concavity In High School Mathematics

Posted on:2015-04-22Degree:MasterType:Thesis
Country:ChinaCandidate:Y ZhangFull Text:PDF
GTID:2207330467489340Subject:Subject teaching
Abstract/Summary:PDF Full Text Request
The convexity of convex function is one of the important properties. It’s mainly used in higher mathematics, it’s concept and method has been widely used in each branch of mathematics. But in high school mathematics teaching material, there is no clear definition of function is concave and convexity and nature, but its presence in the college entrance examination questions appeared frequently and contest questions. However, because of the complexity of the function is concave and convexity knowledge itself Abstractness and immature students’thinking ability, make students facing related questions involving function is concave and convex, the performance of what to do. In order to further study the function is concave and convex sex in high school mathematics problem-solving, the application of the author in a semester internship work, try the inquiry-based teaching practice, through reflection and summary, determines the framework of this paper, the main body is made up of four parts:The first part of the introduction, mainly introduced in the high school mathematics research function is concave and convex sex at this stage of the background and significance, proposed in this paper, the research problem, hope for high school teachers and students can help in solving problems related to.The second part function is concave and convex theoretical basis, this part mainly expounds the definition of function is concave and convex sex theorem, puts forward the function is concave and convex sexual contact with some important inequalities.The third part discussed the function of concave and convex application in the high school mathematics problem-solving, this part respectively from the Angle of the teaching material of the university entrance exam questions contest questions and so on, is the core part of this article.The fourth part recorded about the function of inquiry teaching is concave and convex of whole process, and according to the reflection and summarizing the teaching effect.
Keywords/Search Tags:The convexity of convex function, The university entrance exam, Competition, Teaching practice
PDF Full Text Request
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