| 摘要: |
| 柯西不等式是高等数学中的重要不等式，它在解析几何、数学分析与高等代数这3门数学专业主干基础课程中均有渗透.从这3门课程的角度，分别给出柯西不等式的不同形式和证明过程，并简要地阐述它们的联系，最后做出小结. |
| 关键词: 柯西不等式；数量积；定积分 欧氏空间；内积 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Make a Thorough Inquiry for Cauchy Inequality in Three Views |
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XIAN Wei zhi
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| Abstract: |
| Cauchy inequality is one of the most significant inequalities in higher mathematics. The inequality seeps in analytic geometry，mathematical analysis and higher algebra which are three main courses for the college students majored in mathematics. This paper proves different forms of Cauchy inequality from the perspective of the three courses and explores the relations among them．Finally the paper makes a brief summary. |
| Key words: Cauchy inequality scalar product definite integral Euclidean space inner product |
