在圆锥曲线中也常常会出现一些有关角的问题,本文拟对相关问题的解法类型作一个归纳总结,以期对大家的教与学能够有所启发.1运用正弦、余弦定理例1若点P是椭圆ax22+yb22=1(ab0)上一点,e为离心率,F1,F2分别为椭圆的左、右焦点.若∠PF1F2=α,∠PF2F1=β,求证:e=cosα2+βcosα2 In the conic curve, there are often some problems related to the angle. This paper proposes to sum up the types of solutions to the related problems, in order to give some inspiration to everyone’s teaching and learning. 1Using Sine and Cosine Theorem Example 1 If Point P Is the ellipse ax22 + yb22 = 1 (ab0) on a point, e is the eccentricity, F1, F2 are the left and right focus of the ellipse. If ∠ PF1F2 = α, ∠ PF2F1 = β, verify: e = cosα2 + βcosα2