向量具有良好的运算性质和清晰的几何意义,而三角形的“心”是三角形所在平面上的特殊点,两者相结合必蕴含美妙的性质。下面通过探究,可以找到向量与三角形的“心”有关的一组美妙性质,供大家参考。性质1:若点O是ΔABC的外心,则|OA|=|OB|=|OC|;反之,也成立。性质2:若点O是ΔABC的重心,则OA+OB+OC=0;反 Vector has good computing properties and clear geometric meaning, and the triangular “heart ” is a special point in the plane of the triangle, the combination of the two must contain the wonderful nature. Below by exploring, you can find the vector and the triangle “heart ” a set of wonderful properties for your reference. Property 1: If O is the outer center of ΔABC, then | OA | = | OB | = | OC | and vice versa. Nature 2: If point O is the center of gravity of ΔABC, then OA + OB + OC = 0;