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Given a (0,2) and B (4,2) in the plane rectangular coordinate system, find a point C on the x-axis so that the triangle ABC is an isosceles triangle. How many points c meet the condition? The standard answer is five, but it is not clear how these five constitute
1. Connect AB and make a vertical bisector. The intersection point with X axis is C. (CA = CB)
2. AB is the waist of isosceles triangle, a is the center of the circle, and there are two intersections with the positive and negative axis of X axis, one is acute angle triangle, the other is obtuse angle triangle
3. Take B as the center of the circle, there are two intersections with X axis, one is acute angle, the other is obtuse angle
There are five C points
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