Locus Construction of Ellipse

This example demonstrates the construction of an ellipse as a locus. First, a circle is created, and a point A is taken on the circle. Another point F1 is taken inside the circle. A line segment is constructed through points A and F1, and its perpendicular bisector is constructed. Then, a line a is constructed through points A and F1, intersecting the perpendicular bisector at point B. Another line b is constructed through points B and F1, intersecting the circle at point P. Finally, the distance line segment is constructed between points F1 and P. As point P moves on the circle, the sum of distances from P to F1 and F2 remains constant, forming an ellipse locus. This example uses Circle, Point, Segment, LineBisector, Line, Intersect, Locus, Distance commands. Suitable for high school mathematics education and learning.