újat

1. lépés

2. lépés

3. lépés

(a)

-

(b)

(a)

(b)

(a)

(b)

(a)

(b)

ellenőrzés

függvények mutatása

L: {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
a_{1} = RandomElement(L)
a_{2} = RandomElement(L)
b_{1} = RandomElement(L)
b_{2} = RandomElement(L)
iksz = RandomElement(L)
ipszilon = RandomElement(L)
c_{1}: (a_{1} * iksz) + (b_{1} * ipszilon)
c_{2}: (a_{2} * iksz) + (b_{2} * ipszilon)
A: (-11, 2.55)
B: (-5.5, 2.55)
f = Segment(A, B)
C: (-11, 0.7)
D: (-5.5, 0.7)
g = Segment(C, D)
a_3 = false
b_3 = false
a: (a_{1} * x) + (b_{1} * y) = c_{1}
b: (a_{2} * x) + (b_{2} * y) = c_{2}
c = false
ymegoldás: ((c_{1} * a_{2}) - (c_{2} * a_{1})) / ((b_{1} * a_{2}) - (b_{2} * a_{1}))
xmegoldás: (c_{1} - (b_{1} * ymegoldás)) / a_{1}
d = false
szöveg11: "/·(" + (LaTeX[a_{2}]) + ")"
szöveg12: "/·(" + (LaTeX[a_{1}]) + ")"
szöveg1A: "" + (LaTeX[a_{1}]) + "x + (" + (LaTeX[b_{1}]) + ")y =" + (LaTeX[c_{1}]) + ""
szöveg2A: "" + (LaTeX[a_{2}]) + "x + (" + (LaTeX[b_{2}]) + ")y =" + (LaTeX[c_{2}]) + ""
szöveg1B: "" + (LaTeX[a_{1}]) + "x + " + (LaTeX[b_{1}]) + "y = " + (LaTeX[c_{1}]) + ""
szöveg22: "" + (LaTeX[a_{2}]) + "·(" + (LaTeX[xmegoldás]) + ") + (" + (LaTeX[b_{2}]) + ")·(" + (LaTeX[ymegoldás]) + ") = " + (LaTeX[c_{2}]) + ""
szöveg23: "" + (LaTeX[(a_{2} * xmegoldás)]) + " + (" + (LaTeX[(b_{2} * ymegoldás)]) + ") = " + (LaTeX[c_{2}]) + ""
szöveg24: "" + (LaTeX[(a_{2} * xmegoldás) + (b_{2} * ymegoldás)]) + " = " + (LaTeX[c_{2}]) + ""
szöveg19: "" + (LaTeX[(a_{1} * xmegoldás) + (b_{1} * ymegoldás)]) + " = " + (LaTeX[c_{1}]) + ""
szöveg18: "" + (LaTeX[(a_{1} * xmegoldás)]) + " + (" + (LaTeX[(b_{1} * ymegoldás)]) + ") = " + (LaTeX[c_{1}]) + ""
szöveg17: "" + (LaTeX[a_{1}]) + "·(" + (LaTeX[xmegoldás]) + ") + (" + (LaTeX[b_{1}]) + ")·(" + (LaTeX[ymegoldás]) + ") = " + (LaTeX[c_{1}]) + ""
szöveg3A: "" + (LaTeX[(a_{1} * a_{2})]) + "x + (" + (LaTeX[(b_{1} * a_{2})]) + ")y = " + (LaTeX[(c_{1} * a_{2})]) + ""
szöveg4A: "" + (LaTeX[(a_{1} * a_{2})]) + "x + (" + (LaTeX[(a_{1} * b_{2})]) + ")y = " + (LaTeX[(a_{1} * c_{2})]) + ""
szöveg5: "" + (LaTeX[(b_{1} * a_{2}) - (b_{2} * a_{1})]) + "y =" + (LaTeX[(c_{1} * a_{2}) - (c_{2} * a_{1})]) + ""
szöveg6: "y =" + (LaTeX[((c_{1} * a_{2}) - (c_{2} * a_{1})) / ((b_{1} * a_{2}) - (b_{2} * a_{1}))]) + ""
szöveg7: "x =" + (LaTeX[(c_{1} - (b_{1} * ((c_{1} * a_{2}) - (c_{2} * a_{1})) / ((b_{1} * a_{2}) - (b_{2} * a_{1})))) / a_{1}]) + ""
szöveg3B: "" + (LaTeX[(a_{1} * a_{2})]) + "x+" + (LaTeX[(b_{1} * a_{2})]) + "y=" + (LaTeX[c_{1}]) + ""
szöveg4B: "" + (LaTeX[(a_{2} * a_{1})]) + "x+" + (LaTeX[(b_{2} * a_{1})]) + "y=" + (LaTeX[(c_{2} * a_{1})]) + ""
lkkt = LCM(a_{1}, a_{2})
lnko = GCD(a_{1}, a_{2})
e = false
szöveg2B: "" + (LaTeX[a_{2}]) + "x + " + (LaTeX[b_{2}]) + "y = " + (LaTeX[c_{2}]) + ""