If there are two points a and B on the parabola y = x2 + 4x-2, and the origin is at the midpoint of line a and B, then the coordinates of these two points are?
∵ A and B are symmetric with respect to the origin. Let a (x, y), then B (- x, - y), x > 0
y=x^2+4x-2 ①
-y=x^2-4x-2 ②
① + 2: 2x ^ 2-4 = 0, ^ x = √ 2, y = 4 √ 2;
So a (√ 2,4 √ 2), B (√ 2, - 4 √ 2)
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