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题目由定圆O外一定点P引任意割线PAB(不过圆心O),求证tan1/2∠AOP·tan1/2∠BOP为定值.分析本题看起来是一个平面几何问题,但不管是用平面几何方法或三角方法都十分困难.但若用解析几何方
The title is drawn from a certain point P outside the circle O to any secant line PAB (but center O) to verify that the tan 1/2 ∠ AOP tan 1/2 ∠ BOP is a fixed value. Analysis of this problem looks like a plane geometry problem, but it does not matter Plane geometry methods or trigonometric methods are very difficult, but if you use analytic geometry