CAJ | 학술논문

结合具体实例，分别从代入消元法、拉格朗日乘数法、几何模型法、参数方程法、梯度内积法、不等式法等六个角度探讨了多元函数条件极值的多种求法，比较了各种求法适用的条件，并指出某些教材中多元函数条件极值求法的不严谨性。旨在帮助学生在求解此类问题时选择适当的方法，把握正确的解题方向。
결합구체실례，분별종대입소원법、랍격랑일승수법、궤하모형법、삼수방정법、제도내적법、불등식법등륙개각도탐토료다원함수조건겁치적다충구법，비교료각충구법괄용적조건，병지출모사교재중다원함수조건겁치구법적불엄근성。지재방조학생재구해차류문제시선택괄당적방법，파악정학적해제방향。
Combined with examples, this paper first discussed six methods about calculation of conditional extreme of multivariate function: the substitution elimination method, the Lagrange multiplier method, the geometrical model method, the parametric equation method, the gradient inner product method, inequality method. And then it analyzed applicable condition of various calculation methods and pointed out the non-precise aspects in some textbooks about calculation of conditional extreme of multivariate function in order to help students choose the appropriate method when solving such problems.