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Vérifions la réciproque du théorème de Pythagore. ( AB^2 = 25 ), ( AC^2 = 18 ), ( BC^2 = 37 ). On remarque ( 18 + 25 = 43 \neq 37 ). Donc pas rectangle. (Autre vérification produit scalaire: ( \vecAB \cdot \vecAC = (3,4) \cdot (-3,3) = -9+12=3 \neq 0 ).)
Introduction Analytic geometry—or géométrie analytique —is the bridge between algebra and geometry. It allows us to describe geometric shapes using equations and coordinates, solving complex problems with the power of calculus and linear algebra. Whether you are a high school student preparing for the baccalauréat , a university freshman in a STEM program, or a self-learner brushing up on mathematics, one of the most effective ways to master this subject is by working through exercises with corrected solutions. That is precisely where the search for "géométrie analytique exercices corrigés pdf" becomes invaluable. geometrie analytique exercices corriges pdf
So go ahead—search for that PDF, pick up a pencil, and let analytic geometry become second nature. Bon courage! If you found this article helpful, share it with fellow math students. Have a favorite "géométrie analytique exercices corrigés pdf" resource? Let us know in the comments below (on your blog platform). Vérifions la réciproque du théorème de Pythagore
Pente de (BC): ( m_BC = \frac2-3-1-5 = \frac-1-6 = \frac16 ) Pente perpendiculaire: ( m_\perp = -6 ) (car produit des pentes = -1). Équation via A(2,-1): ( y - (-1) = -6(x - 2) ) ( y + 1 = -6x + 12 ) → ( y = -6x + 11 ). Forme générale: ( 6x + y - 11 = 0 ). Donc pas rectangle