听力原文:W: What a lot of traffic! You should have listened to me not to drive down the main street when it's so crowded. M: Just be patient, honey. It's usual that many roads are busy on weekends. Q: Where did the conversation take place? (13)
【简答题】已知椭圆C:M: x 2 a 2 + y 2 b 2 =1(a>b>0)的离心率e= 3 5 ,且椭圆上一点与椭圆的两个焦点构成的三角形周长为16 (Ⅰ)求椭圆M的方程; (Ⅱ)若O(0,0)、P(2,2),试探究在椭圆C内部是否存在整点Q(平面内横、纵坐标均为整数的点称为整点),使得△OPQ的面积S △OPQ =4?若存在,请指出共有几个这样的点?并说明理由(不必具体求出这些点的坐标).