从几何角度给予拉格朗日乘数法新的推导思路 |
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引用本文: | 杨俊兴.从几何角度给予拉格朗日乘数法新的推导思路[J].数学学习,2016(2):54-55. |
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作者姓名: | 杨俊兴 |
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作者单位: | 普洱学院 理工学院 物理系,云南 普洱,665000 |
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摘 要: | 拉格朗日乘数法是求条件极值的重要方法,该文通过数形结合给出定理推导的新路径,相比教材上纯代数推导更直观,体现了"几何意义"的重要性.
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关 键 词: | 数形结合 空间曲线 条件极值 向量值函数 |
A New Deduction for the Lagrange Multipliers Using the Symbolic-Graphic Combination Method |
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Abstract: | Lagrange multiplier is an important method to solve conditional extreme problems. This paper gives a new method to deduce the Lagrange multipliers by using the symbolic?graphic combination method, which is more intuitive than pure algebraic method in the textbook. |
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Keywords: | symbolic-graphic combination space curve conditional extremum vector-valued function |
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