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Is there a point Q on the positive half axis of the x-axis for the motion of the moving point P on the ellipse with the equation x ^ 2 / 9 + y ^ 2 / 4 = 1, so that the shortest distance between the point on the trajectory equation of Q and P is 1? If there is, find the Q coordinate. If not, explain the reason
Q (4,0) and Q (2,0) it is easy to know that a = 3, B = 2 (1) Q (4,0) is a good explanation, because it is outside the ellipse, the distance to the right end of the major axis is the smallest, the minimum value is 1; (2) Q (2,0) is a little difficult to get, let P (3cos θ, 2Sin θ), note: the parameter form of ellipse | PQ | & # 178; = (3cos θ - 2) & # 178; + 4sin & # 178; θ = 5
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