Étude du trinôme ax^2+bx+c
from math import * from kandinsky import * for i in range(12) : print("") print(" --------------------------") print(" Etude du trinome ax^2+bx+c") print(" > Recherche des racines") print(" > Ecritures du trinome") print(" > Coordonnees du sommet") print(" > Allure de la parabole") print(" --------------------------") print("") a=0 # Demande des coefficients du trinome while a==0 : a=float(input('Coef a de x^2 = ')) b=float(input('Coef b de x = ')) c=float(input('Constante c = ')) for i in range(12) : print("") # calcul de delta, alpha et beta delta=b**2-4*a*c alpha=-b/(2*a) beta=-delta/(4*a) #Affichage du texte selon #les coefficients a, b et c if delta == 0 : print("Delta = 0") print("Le trinome admet pour") print("racine : x0=-b/(2a)") x0=-b/(2*a) print(" x0 = ",x0) print("Sommet de la parabole :") print(" S(",x0,",0)") elif delta > 0 : print("Delta = ",delta," > 0 donc les") print("racines de ce trinome sont :") x1=(-b-sqrt(delta))/(2*a) x2=(-b+sqrt(delta))/(2*a) print(" x1 = ",x1," et x2 = ",x2) print("Sommet de la parabole :") print(" S(",alpha,",",beta,")") print("Forme factorisee du trinome :") print(" ",a,"(x+",-x1,")(x+",-x2,")") else : print ("Delta = ",delta) print("donc le trinome n'admet") print("pas de racines reelles") print("Sommet de la parabole :") print(" S(",alpha,",",beta,")") print("Forme canonique du trinome :") print(" ",a,"(x+",-alpha,")^2 +",+beta) #Affichage de la parabole du trinome choix=input('Tracer la courbe ? [o/n]') if choix=='n' or choix=='8' : print(" - - - FIN - - -") else : Xmin,Xmax,Ymin,Ymax=-10,10,-10,10 red=color(255,0,0) black=color(0,0,0) for pixel_x in range(320): X=Xmin+pixel_x*(Xmax-Xmin)/319 Y=a*X**2+b*X+c pixel_y=int((Y-Ymax)*221/(Ymin-Ymax)) set_pixel(pixel_x,pixel_y,red) for x in range(320): y_0=int(Ymax*221/(Ymax-Ymin)) set_pixel(x,y_0,black) for y in range(222): x_0=int(Xmin*319/(Xmin-Xmax)) set_pixel(x_0,y,black)