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在解决平面向量的数量积的取值范围类问题时,通常的做法是根据已知条件写出已知点的坐标,再设出动点的坐标,代入数量积的坐标公式中,将数量积转化成动点坐标的二元函数求值域。而在对二元函数求值域时,我们又有两类方向:一类是通过消元,消去一个变量,将二元函数化为一元函数求值域;若是不好消元,我们则可以利用动点的横坐标与纵坐标满足的等量关系式,去分析二元函数的几何意义,利用几何法来求解数量积的取值范围。笔者结合例题进
When solving the problem of the range of value of the product of the number of plane vectors, it is common practice to write out the coordinates of the known points according to the known conditions, then set the coordinates of the point, Binary Function Evaluation of Moving Point Coordinates. When we evaluate the binary function, we have two more directions: one is to eliminate the variable by eliminating the variable, and the binary function is transformed into the one-variable function. If it is not good, then we can By using the equivalent relation between the abscissa and the ordinate of the moving point, the paper analyzes the geometric meaning of the binary function and uses the geometric method to solve the range of the numerical product. The author combined with examples into