If the endpoint A and B of the line segment AB with fixed length of 3 move on the parabola y ^ 2 = x, and the midpoint of AB is m, then when the coordinate of M is, the distance to the Y axis is the shortest and the shortest If the endpoint A and B of the line segment AB with fixed length of 3 move on the parabola y ^ 2 = x, and the midpoint of AB is m, then when the coordinate of M is what, the shortest distance to the Y axis is? (Note: liberal arts students,)

If the endpoint A and B of the line segment AB with fixed length of 3 move on the parabola y ^ 2 = x, and the midpoint of AB is m, then when the coordinate of M is, the distance to the Y axis is the shortest and the shortest If the endpoint A and B of the line segment AB with fixed length of 3 move on the parabola y ^ 2 = x, and the midpoint of AB is m, then when the coordinate of M is what, the shortest distance to the Y axis is? (Note: liberal arts students,)

Draw a picture, the distance from m point to y axis is the shortest
Then the distance from point m to the guide line x = - 1 / 4 is the shortest
M to guide line distance = (a to guide line distance + B to guide line distance) / 2 = (AF + BF) / 2
Even AF + BF is the shortest
Because AB length is fixed value 3
AF + BF is the shortest when AB passes through focus F
That is, the distance from m to y axis is the shortest
This is the way of thinking, word limit