Dans le plan muni d'un repère orthonormé, on
considère la parabole P d'équation y = x2 et le
...
Mathematics, 10.01.2021 16:10 justhereforanswers13
Dans le plan muni d'un repère orthonormé, on
considère la parabole P d'équation y = x2 et le
point A(1;0).
On souhaite déterminer les coordonnées du point
M de la courbe P telles que la distance AM soit
minimale.
Pour tout réel x, on pose f(x) = AM, où M est le
point d'abscisse x de P.
1. Justifier que f(x)= x4 + x2 - 2x + 1.
2. En utilisant un outil au choix (calculatrice, algo-
rithme, tableur...), conjecturer les coordonnées
du point M répondant au problème.
Answers: 3
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Answers: 1
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Answers: 1
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