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It is known that there is a point (4, - 1) in the ellipse x ^ 2 / 25 + y ^ 2 / 9 = 1, f is the right focus, M is the moving point on the ellipse, and the minimum value of Ma + MF (detailed explanation)
Let n be the left focus, then: MF + Mn = 2A = 10
MA＋MF=MA＋(10－MN)=10＋(MA－MN)
Considering that | ma-mn | ≤ an, i.e. - an ≤ ma-mn ≤ an, i.e., the minimum value of ma-mn is - an
The minimum value of Ma + MF = 10 + (ma-mn) is 10-an = 10 - √ 63 = 10-3 √ 7
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