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| 柯西不等式及其在中学数学中的应用
摘要：柯西不等式与多种数学知识都有着较为密切的联系，具有广泛的应用范围。在教育改革不断加深的背景下，柯西不等式出现于高中数学选修课本中。然而现阶段在柯西不等式教学的过程中，课堂教学沉闷，学生掌握效果也不够理想。基于此，文章以柯西不等式及其在中学数学中的应用为选题，从多个方面探讨柯西不等式在中学数学中的应用情况，最后结合理论知识和文献资料，提出柯西不等式在中学数学中体现的教育价值。
关键词：柯西不等式；中学数学；应用
Cauchy Inequality and its Application in Middle School Mathematics
Abstract:Cauchy inequality is closely related to a variety ofmathematical knowledgeand and has a wide range of applications.Under the background of deepening education reform,Cauchy inequality appears in high school mathematics elective course books.However,at present,in the process of Cauchy inequality teaching,the classroom teaching is dull and the students'mastering effect is not ideal.Based on this,this paper takes Cauchy Inequality and its application in middle school mathematics as the topic,discusses the application of Cauchy Inequality in middle school mathematics from many aspects,and finally puts forward the educational value of Cauchy Inequality reflected in middle school mathematics by combining theoretical knowledge and literature.
Key words: Cauchy inequality; middle school mathematics; application
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