“到角的两边距离相等的点的轨迹是这个角的平分线”吗?(见全国统编教材数学第五册P·168) 多年来,中学课本中凡涉及上述轨迹问题时,都这样讲述,原因大概是在于讲该轨迹之前先证明了角平分线的性质定理及其逆定理:“在角平分线上的点到这个角的两边的距离相等”“到一个角的两边的距离 Is “the trajectory of the point on both sides of the angle equal to each other is the bisector of this angle”? (See the National Book of Textbooks, Vol.5, P.168). For many years, when it comes to the trajectory problem in the middle school textbooks, The reason is presumably to prove the property theorem and its inverse of the bisector before speaking the trajectory: “The distance from the point on the angle bisector to the two sides of this angle is equal” "The distance to both sides of an angle