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空间基本轨迹以平面基本轨迹为基础可以对比地逐一得出,一般而言,平面上轨迹若在空间研究,则点变化为相应的直线,直线则变化为相应的平面,而圆则变化为相应的球,如到两定点A、B的距离之比等于常量λ的动点轨迹,当λ=1时,在平面上是线段AB的垂直平分线,而在空间则是线段AB的垂直平分面;当λ≠1时,若分线段AB之比为λ的内外分点分別为P,Q,则在平面上轨迹是以PQ为直径的
The basic trajectory of space can be compared one by one on the basis of the basic trajectory of the plane. In general, if the trajectory in the plane is studied in space, the point changes to the corresponding straight line, the straight line changes to the corresponding plane, and the circle changes to the corresponding The ball, if the ratio of the distances to the two fixed points A, B is equal to the moving point trajectory of the constant λ, when λ=1, it is the vertical bisector of the line segment AB in the plane, and the vertical bisection of the line segment AB in the space. When λ ≠ 1, if the inner and outer points of the split line AB are λ, respectively, P, Q, then the trajectory in the plane is the diameter of PQ.