第1点利用函数思想破解解析几何问题(★★★★★)必做1在平面直角坐标系xOy中,椭圆C:X2/a2+y2/b2=1(a>b>0)的上顶点到焦点的距离为2,离心率为31/2/2.(1)求a,b的值.(2)设P是椭圆C长轴上的一个动点,过点P作斜率为k的直线l交椭圆C于A,B两点.1若k=1,求△OAB面积的最大值; Point 1 Use Function Thinking to Solve Analytic Geometry Problem (★★★★★) Make 1 In the plane Cartesian coordinate system xOy, the upper vertex of the ellipse C: X2 / a2 + y2 / b2 = 1 (a> b> 0) The distance to the focus is 2 and the eccentricity is 31/2/2. (1) Find the values ​​of a and b. (2) Let P be a moving point on the long axis of ellipse C and let P be the slope of k Line l cross oval C at A, B two points .1 if k = 1, find △ OAB area maximum;