The line L: y = K (x + 2) and circle x2 + y2 = 4 intersect at two points a and B, O is the coordinate origin, the area of △ ABO is s, and the expression of S = f (k) is obtained

The line L: y = K (x + 2) and circle x2 + y2 = 4 intersect at two points a and B, O is the coordinate origin, the area of △ ABO is s, and the expression of S = f (k) is obtained

Let a, OA = 2, s = (1 / 2) * OA * | Yb | = | Yb | y = K (x + 2) and X & # 178; + Y & # 178; = 4 eliminate x together to get (1 + 1 / K & # 178;) y & # 178; - 4Y / k = 0, Yb = 4 / (K + 1 / k), so s = 4 | K | / (1 + K & # 178;)