Traditional Culture Encyclopedia - Photography major - Take the fixed point m (4,0) as a straight line L, intersect with the parabola y2=4x at two points A and B, and f is the focus of the parabola, so as to find the minimum value of the triangle AFB area
Take the fixed point m (4,0) as a straight line L, intersect with the parabola y2=4x at two points A and B, and f is the focus of the parabola, so as to find the minimum value of the triangle AFB area
Take the fixed point m (4,0) as a straight line L, intersect with the parabola y2=4x at two points A and B, and f is the focus of the parabola, so as to find the minimum value of the triangle AFB area.
Let the linear l equation be x-4=my, and substitute y? =4x, get
y? =4my+ 16
y 1+y2=4m
y 1*y2=- 16
△ the area of △AFB is s = (4-1) | y1-y2 |/2 = 3 √ [(y1+y2)? -4y 1*y2] /2=6√(m? +4)
When m=0, the minimum area is 12.
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