p

Q

R

P

Q

R

Resolución

Gráfica

Ecuación de la recta

Algebraica

Gráfica

Ecuación de la recta

Algebraica

Introduce el valor de x

m=\frac{y_2-y_1}{x_2-x_1}

Sustituye \; los \; puntos \; en \; y=ax^2+bx+c

Puntos

Resuelve

Interpolación

Extrapolación

el \; sistema

B11 = 2.0046589018302825
D10 = (4, 11)
B10: x(D10)
A3: B10
C10: y(D10)
B3: C10
D9 = (3.5, -6)
B9: x(D9)
A2: B9
C9: y(D9)
B2: C9
D8 = (1, 2)
B8: x(D8)
A1: B8
aa2: ((A1^(2) - A2^(2)) * (A1 - A3)) - ((A1^(2) - A3^(2)) * (A1 - A2))
C8: y(D8)
B1: C8
aa1: ((B1 - B2) * (A1 - A3)) - ((B1 - B3) * (A1 - A2))
aa: aa1 / aa2
bb: (B1 - B3 - (aa * (A1^(2) - A3^(2)))) / (A1 - A3)
cc: B1 - (aa * A1^(2)) - (bb * A1)
C11: (aa * B11^(2)) + (bb * B11) + cc
B13: ((-bb)) / ((2 * aa))
C13: (aa * B13^(2)) + (bb * B13) + cc
D12 = (0, 0)
C12: y(D12)
B12: x(D12)
AX: (B11, 0)
b = OrthogonalLine(AX, xAxis)
q(x) = (aa * x^(2)) + (bb * x) + cc
H = Intersect(q, b, 1)
a: (((B1 - B2) * (A1 - A3)) - ((B1 - B3) * (A1 - A2))) / (A1^(2) - A2^(2))
lista3: {B8, B9, B10, B11, B12, B13}
ma = Max(lista3)
mi = Min(lista3)
mp: (Max[abs(mi), ma] * 0.2)
lista4: {C8, C9, C10, C11, C12, C13}
na = Max(lista4)
ni = Min(lista4)
np: (Max[abs(ni), na] * 0.2)
CasillaDeEntrada1 = Textfield(D8)
CasillaDeEntrada2 = Textfield(D9)
CasillaDeEntrada3 = Textfield(D10)
e1 = 1 (slider from 0 to 1, step 1)
e2 = 0 (slider from 0 to 1, step 1)
e3 = 0 (slider from 0 to 1, step 1)
CasillaDeEntrada4 = Textfield(B11)
D11: (B11, C11)
n = 0 (slider from 0 to 7, step 1)
d = OrthogonalLine(H, yAxis)
AY = Intersect(d, yAxis)
texto2a: "x = " + B11 + ""
texto2b: "y = " + C11 + ""
texto2c: "R = " + D11 + " "
pe: (C9 - C8) / (B9 - B8)
p1: C9 - C8
p2: B9 - B8
texto3b: "m=\frac{" + (LaTeX[p1]) + "}{" + LaTeX[p2] + "}=" + LaTeX[pe] + ""
ne: C8 - (pe * B8)
texto3e: "n=" + (LaTeX[ne]) + ""
g = OrthogonalLine(D9, xAxis)
A = Intersect(cc, g)
h = Segment(D8, D9)
i = Segment(D9, A)
j = Segment(A, D8)
texto3f: "" + (LaTeX[a]) + ""
RR: D11
l = Line(D8, D9)
m = Line(D8, D9)
texto3d: "" + (LaTeX[C8]) + "=" + LaTeX[pe] + "·\left( " + LaTeX[B8] + "  \right) +n"
C = (-4, 0)
D = (-3.98, -0.62)
E = (-2.6, -4.96)
F = (-1.48, -4.98)
p = Segment(E, F)
texto3c: "y=" + (LaTeX[pe]) + "·x+ n"
G = (-1.6931506849315068, -10.713199698124319)
e = Segment(AX, H)
f = Segment(H, AY)
E8: B8^(2)
E9: B9^(2)
E10: B10^(2)
E11: B11^(2)
E12: B12^(2)
I = (-4, -1.4)
texto4c: "a =" + (LaTeX[aa]) + "\; ; \;   b= " + LaTeX[bb] + "\; ; \;  c=" + LaTeX[cc] + ""
texto4dd: "y=" + (LaTeX[q]) + ""
texto4a1: "P \; : \;  " + (LaTeX[C8]) + " = " + LaTeX[E8] + "·a+" + LaTeX[B8] + " ·b+c"
texto4a2: "Q \; : \; " + (LaTeX[C9]) + " = " + LaTeX[E9] + "·a+ " + LaTeX[B9] + " · b + c"
texto4a3: "R \; : \; " + (LaTeX[C10]) + "  = " + LaTeX[E10] + " ·a+ " + LaTeX[B10] + "  · b + c"
lista1: {B8, B9, B10}
mmi = Min(lista1)
mma = Max(lista1)
ie = If((B11 ≥ mmi) ∧ (B11 ≤ mma), 1, 0)
B = (-4.02, 2.64)
texto4e: "x=" + (LaTeX[B11]) + " \; ; \;   y=" + LaTeX[aa] + "·\left( " + LaTeX[B11] + "  \right) ^2+ \left( " + LaTeX[bb] + "  \right) ·\left( " + LaTeX[B11] + " \right) +\left( " + LaTeX[cc] + "  \right) =" + LaTeX[C11] + ""