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【简答题】
已知椭圆 x 2 a 2 + y 2 b 2 =1(a＞b＞0) 的两个焦点为F 1 ，F 2 ，P为椭圆上一点，∠F 1 PF 2 =60° （1）求椭圆离心率的取值范围； （2）求△F 1 PF 2 的面积仅与椭圆的短轴长有关．
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