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It is known that the line L: y = K (x + 2 √ 2) intersects the circle 0: X & sup2; + Y & sup2; = 4 at two points a and B, O is the origin of the coordinate, and the area of the triangle ABO is s (1) Try to express s as a function s (k) and find its domain of definition; (2) Find the maximum value of S and the value of K when the maximum value is obtained (√ means under the root)
According to the first formula (straight line) to calculate the slope, according to the second formula to calculate the circle point and the distance from the circle point to the origin, it's easy to calculate, sorry, I forgot the formula, so much for your reference
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- 1. It is known that the line L: y = K (x + 2 √ 2) and the circle O: x ^ 2 + y ^ 2 = 4 intersect at two points a and B. o is the origin of the coordinate and the area of the triangle abo It is known that the line L: y = K (x + 2 √ 2) and the circle O: x ^ 2 + y ^ 2 = 4 intersect at two points a and B, O is the origin of the coordinate, and the area of the triangle ABO is s ① Try to express s as a function s (k) and find its domain of definition ② Find the maximum value of S and the value of K when the maximum value is obtained
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