我们知道,向量的数量积是联系向量和三角函数的重要桥梁.在解题中巧用向量的数量积及其运算律,可以达到优化解题过程的目的.1.观察特征向量化数例1点O是平面ABC内一定点,若动点P满足:(?),且λ∈(0,+∞),则动点P的轨迹一定经过△ABC的____(用重心、外心、垂心、内心填空). We know that the scalar product of vectors is an important bridge between the contact vector and the trigonometric function. The quantitative product of the vector and its operation law in the problem solving can achieve the purpose of optimizing the problem-solving process. 1. Observing the number of feature vectorization examples 1 The point O is a certain point in the plane ABC. If the moving point P satisfies: (?) and λ ∈ (0, + ∞), the trajectory of the moving point P must pass ____ of △ABC (using the center of gravity, the heart, and the heart , fill in the blank).