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线性规划问题是每年的高考必考内容,而题型也是每年都有微小的变化.线性规划也是数学中重要的模型之一.高中数学所学的线性规划的步骤非常清晰:1.根据线性约束条件画出目标函数的可行域(即直线定界,点定域);2.根据目标函数画出其过原点的直线;3.上下移动目标函数所对应的直线找到最优解.在近几年的高考试题中,既考查基本的线性目标函数最值问题,又通过对约束条件与目标函数的拓展,使考查内容更丰富,形式更新颖,解法更灵活.现就举例加以分析说明.1.求约束条件中参数的值例1在平面直角坐标系中,若不等式组
Linear programming problem is the annual college entrance examination exam content, and the question is also a small change every year.Linear planning is also one of the important mathematical models.Made in high school mathematics linear programming steps are very clear: 1. According to the linear constraint Draw the feasible region of the objective function (that is, the line boundary and the point locality); 2. Draw the line whose origin is the origin according to the objective function; 3. Move the line corresponding to the target function up and down to find the optimal solution. Years of college entrance examination exams, not only examines the most basic linear objective function problem, but also through the expansion of the constraints and the objective function, so that exam content richer, more innovative form, the solution is more flexible. . Find the value of the parameter in the constraint. Example 1 In the Cartesian coordinate system, if the inequality group