Entrez\ le\ nombre\ a:

M

Fonction : image\ d'un\ nombre\ a\ par\ f, la\ méthode

MathsEnClair.com

La\ droite\ “vertiacele” précédente\ coupe\ la\ courbe\
représentative\ de\ f\ en\ un\ point\ \textcolor{red}{M}.

f(x) = x^(2) - (2 * x) - 3
a_1 = Random(-3, 4)
a = 4 (slider from -6 to 10, step 1)
M: (a, f(a))
b: f(a)
rep = 10
c = OrthogonalLine(M, xAxis)
A = Intersect(c, xAxis)
d = OrthogonalLine(M, yAxis)
e = Segment(M, A)
B = Intersect(d, yAxis)
g = Segment(B, M)
texte3: "\fcolorbox{green}{white}{Bravo\ !\ L'image\ de\ " + (LaTeX[a]) + "\ par\ f\ est\ " + (LaTeX[b]) + ".}"
ChampTexte3 = Textfield(a)
texte8: "\textcolor{blue}{" + (LaTeX[b]) + "}=f(\textcolor{Olivegreen}a)"
texte7: "a=\textcolor{Olivegreen}" + (LaTeX[a]) + ""
texte10: "Pour\ obtenir\ l'image\ de\ \textcolor{Olivegreen}{" + (LaTeX[a]) + "} \ par\ f:\\"
h = Line(A, M)
n = 1 (slider from 1 to 4, step 1)
Ancre = (6.32, 9.9875)
texte11: "On\ place\ le\ nombre\ \textcolor{Olivegreen}{ " + (LaTeX[a]) + " } \ sur\ l'axe\ des\ abscisses\\
puis\ on \ trace\ la\ droite\ \text{“}verticale\text{”} d'équation\ x=\textcolor{Olivegreen}{  " + (LaTeX[a]) + "}."
N: (a + 0.25, 0.5)
u = Vector(Ancre, N)
M': M + (0.25, 0.25)
v = Vector(Ancre, M')
texte13: "On\ trace\ la\ droite\ “horizontale”\ passant\ par\ M:\\
elle\ coupe\ l'axe\ des\ ordonnées\ (Oy)\ en\ la\ valeur\ \textcolor{blue}{" + (LaTeX[b]) + "}\\
qui\ est\ l\text{'}image\ de\ \textcolor{Olivegreen}{" + (LaTeX[a]) + "}\ par\ f."
C = Midpoint(B, M)
w = Vector(Ancre, C)
B': B + (0.25, 0.25)
i = Vector(Ancre, B')
j = Line(B, M)
texte1: "\fcolorbox{red}{white}{Finalement, l'image\ de\ \textcolor{Olivegreen}{" + (LaTeX[a]) + "}\ par\ f\ est\ \textcolor{blue}{" + (LaTeX[b]) + "}:f( \textcolor{Olivegreen}{ " + (LaTeX[a]) + ")= \textcolor{blue}{" + (LaTeX[b]) + " }.}"