Generátor

Kezdés

a =

b =

c =

f(x)=a·(x+b)^2 +c

Válasz

Megoldás

a

b

c

a

b

c

Ellenőrzés

Következő

Újrakezdés

c

c

Segítség

A = Corner(5)
F2 = Mezo((4, 14), 3, 1)
xMin = 0
yMin = 0
xMax = 8
yMax = 14.1
F3 = Mezo((1, 13), 1, 0.9)
F4 = Mezo((2, 13), 1, 0.9)
F5 = Mezo((3, 13), 1, 0.9)
F6 = Mezo((4, 13), 1, 0.9)
F7 = Mezo((5, 13), 1, 0.9)
F8 = Mezo((6, 13), 1, 0.9)
F1 = Mezo((1, 14), 3, 1)
T_{1,1} = Mezo((1, 12), 1, 1)
T_{1,2} = Mezo((2, 12), 1, 1)
T_{1,3} = Mezo((3, 12), 1, 1)
T_{1,4} = Mezo((4, 12), 1, 1)
T_{1,5} = Mezo((5, 12), 1, 1)
T_{1,6} = Mezo((6, 12), 1, 1)
T_{2,1} = Mezo((1, 11), 1, 1)
T_{2,2} = Mezo((2, 11), 1, 1)
T_{2,3} = Mezo((3, 11), 1, 1)
T_{2,4} = Mezo((4, 11), 1, 1)
T_{2,5} = Mezo((5, 11), 1, 1)
T_{2,6} = Mezo((6, 11), 1, 1)
T_{3,1} = Mezo((1, 10), 1, 1)
T_{3,2} = Mezo((2, 10), 1, 1)
T_{3,3} = Mezo((3, 10), 1, 1)
T_{3,4} = Mezo((4, 10), 1, 1)
T_{3,5} = Mezo((5, 10), 1, 1)
T_{3,6} = Mezo((6, 10), 1, 1)
T_{4,1} = Mezo((1, 9), 1, 1)
T_{4,2} = Mezo((2, 9), 1, 1)
T_{4,3} = Mezo((3, 9), 1, 1)
T_{4,4} = Mezo((4, 9), 1, 1)
T_{4,5} = Mezo((5, 9), 1, 1)
T_{4,6} = Mezo((6, 9), 1, 1)
T_{5,1} = Mezo((1, 8), 1, 1)
T_{5,2} = Mezo((2, 8), 1, 1)
T_{5,3} = Mezo((3, 8), 1, 1)
T_{5,4} = Mezo((4, 8), 1, 1)
T_{5,5} = Mezo((5, 8), 1, 1)
T_{5,6} = Mezo((6, 8), 1, 1)
T_{6,1} = Mezo((1, 7), 1, 1)
T_{6,2} = Mezo((2, 7), 1, 1)
T_{6,3} = Mezo((3, 7), 1, 1)
T_{6,4} = Mezo((4, 7), 1, 1)
T_{6,5} = Mezo((5, 7), 1, 1)
T_{6,6} = Mezo((6, 7), 1, 1)
T_{7,1} = Mezo((1, 6), 1, 1)
T_{7,2} = Mezo((2, 6), 1, 1)
T_{7,3} = Mezo((3, 6), 1, 1)
T_{7,4} = Mezo((4, 6), 1, 1)
T_{7,5} = Mezo((5, 6), 1, 1)
T_{7,6} = Mezo((6, 6), 1, 1)
T_{8,1} = Mezo((1, 5), 1, 1)
T_{8,2} = Mezo((2, 5), 1, 1)
T_{8,3} = Mezo((3, 5), 1, 1)
T_{8,4} = Mezo((4, 5), 1, 1)
T_{8,5} = Mezo((5, 5), 1, 1)
T_{8,6} = Mezo((6, 5), 1, 1)
T_{9,1} = Mezo((1, 4), 1, 1)
T_{9,2} = Mezo((2, 4), 1, 1)
T_{9,3} = Mezo((3, 4), 1, 1)
T_{9,4} = Mezo((4, 4), 1, 1)
T_{9,5} = Mezo((5, 4), 1, 1)
T_{9,6} = Mezo((6, 4), 1, 1)
T_{10,1} = Mezo((1, 3), 1, 1)
T_{10,2} = Mezo((2, 3), 1, 1)
T_{10,3} = Mezo((3, 3), 1, 1)
T_{10,4} = Mezo((4, 3), 1, 1)
T_{10,5} = Mezo((5, 3), 1, 1)
T_{10,6} = Mezo((6, 3), 1, 1)
poly1, a_1 = panelfent(60)
XT = Vector((0, y(Corner[1])), (0, y(Corner[3]) - 60 / (y(Corner[5]) / (y(Corner[3]) - y(Corner[1])))))
level = 1 (slider from 1 to 3, step 1)
LevelText = If(level ≟ 1, "könnyű", If[level ≟ 2, "közepes", "nehéz"])
text1: "A feladat nehézsége: " + LevelText + ""
ListTa = Sequence((Random[1, 3] * (-1)^(Random[1, 2])), i, 1, 10)
ListTb = Sequence(Random[-5, 5], i, 1, 10)
ListDc: {}
ListDa: {}
ListTc = Sequence(Random[-5, 5], i, 1, 10)
ListDb: {}
Counter = 0 (slider from -1 to 11, step 1)
Tippa = 1
Tippb = 0
Tippc = 0
iB1 = Textfield(Tippa)
iB2 = Textfield(Tippb)
iB3 = Textfield(Tippc)
q1 = (1.5466666666666669, 13.463333333333335)
q2 = (4.441471571906354, 13.44)
q3 = (1.41333, 12.5)
q4 = (2.34667, 12.5)
q5 = (3.30667, 12.5)
q6 = (4.34667, 12.5)
q7 = (5.36, 12.5)
q8 = (6.24, 12.5)
ListJ: {}
TablTippa: "" + Tippa + ""
TIPPA: (1.2, 12.5 - Counter)
TIPPB: (2.2, 12.5 - Counter)
TablTippb: "" + Tippb + ""
text_{1,1} = Text(Element[ListDa, 1], (1.2, 11.5))
text_{1,2} = Text(Element[ListDb, 1], (2.2, 11.5))
text_{1,3} = Text(Element[ListDc, 1], (3.2, 11.5))
text_{1,4} = Text(Element[ListTa, 1], (4.2, 11.5))
text_{1,5} = Text(Element[ListTb, 1], (5.2, 11.5))
text_{1,6} = Text(Element[ListTc, 1], (6.2, 11.5))
text_{2,1} = Text(Element[ListDa, 2], (1.2, 10.5))
text_{2,2} = Text(Element[ListDb, 2], (2.2, 10.5))
text_{2,3} = Text(Element[ListDc, 2], (3.2, 10.5))
text_{2,4} = Text(Element[ListTa, 2], (4.2, 10.5))
text_{2,5} = Text(Element[ListTb, 2], (5.2, 10.5))
text_{2,6} = Text(Element[ListTc, 2], (6.2, 10.5))
text_{3,1} = Text(Element[ListDa, 3], (1.2, 9.5))
text_{3,2} = Text(Element[ListDb, 3], (2.2, 9.5))
text_{3,3} = Text(Element[ListDc, 3], (3.2, 9.5))
text_{3,4} = Text(Element[ListTa, 3], (4.2, 9.5))
text_{3,5} = Text(Element[ListTb, 3], (5.2, 9.5))
text_{3,6} = Text(Element[ListTc, 3], (6.2, 9.5))
text_{4,1} = Text(Element[ListDa, 4], (1.2, 8.5))
text_{4,2} = Text(Element[ListDb, 4], (2.2, 8.5))
text_{4,3} = Text(Element[ListDc, 4], (3.2, 8.5))
text_{4,4} = Text(Element[ListTa, 4], (4.2, 8.5))
text_{4,5} = Text(Element[ListTb, 4], (5.2, 8.5))
text_{4,6} = Text(Element[ListTc, 4], (6.2, 8.5))
text_{5,1} = Text(Element[ListDa, 5], (1.2, 7.5))
text_{5,2} = Text(Element[ListDb, 5], (2.2, 7.5))
text_{5,3} = Text(Element[ListDc, 5], (3.2, 7.5))
text_{5,4} = Text(Element[ListTa, 5], (4.2, 7.5))
text_{5,5} = Text(Element[ListTb, 5], (5.2, 7.5))
text_{5,6} = Text(Element[ListTc, 5], (6.2, 7.5))
text_{6,1} = Text(Element[ListDa, 6], (1.2, 6.5))
text_{6,2} = Text(Element[ListDb, 6], (2.2, 6.5))
text_{6,3} = Text(Element[ListDc, 6], (3.2, 6.5))
text_{6,4} = Text(Element[ListTa, 6], (4.2, 6.5))
text_{6,5} = Text(Element[ListTb, 6], (5.2, 6.5))
text_{6,6} = Text(Element[ListTc, 6], (6.2, 6.5))
text_{7,1} = Text(Element[ListDa, 7], (1.2, 5.5))
text_{7,2} = Text(Element[ListDb, 7], (2.2, 5.5))
text_{7,3} = Text(Element[ListDc, 7], (3.2, 5.5))
text_{7,4} = Text(Element[ListTa, 7], (4.2, 5.5))
text_{7,5} = Text(Element[ListTb, 7], (5.2, 5.5))
text_{7,6} = Text(Element[ListTc, 7], (6.2, 5.5))
text_{8,1} = Text(Element[ListDa, 8], (1.2, 4.5))
text_{8,2} = Text(Element[ListDb, 8], (2.2, 4.5))
text_{8,3} = Text(Element[ListDc, 8], (3.2, 4.5))
text_{8,4} = Text(Element[ListTa, 8], (4.2, 4.5))
text_{8,5} = Text(Element[ListTb, 8], (5.2, 4.5))
text_{8,6} = Text(Element[ListTc, 8], (6.2, 4.5))
text_{9,1} = Text(Element[ListDa, 9], (1.2, 3.5))
text_{9,2} = Text(Element[ListDb, 9], (2.2, 3.5))
text_{9,3} = Text(Element[ListDc, 9], (3.2, 3.5))
text_{9,4} = Text(Element[ListTa, 9], (4.2, 3.5))
text_{9,5} = Text(Element[ListTb, 9], (5.2, 3.5))
text_{9,6} = Text(Element[ListTc, 9], (6.2, 3.5))
text_{10,1} = Text(Element[ListDa, 10], (1.2, 2.5))
text_{10,2} = Text(Element[ListDb, 10], (2.2, 2.5))
text_{10,3} = Text(Element[ListDc, 10], (3.2, 2.5))
text_{10,4} = Text(Element[ListTa, 10], (4.2, 2.5))
text_{10,5} = Text(Element[ListTb, 10], (5.2, 2.5))
text_{10,6} = Text(Element[ListTc, 10], (6.2, 2.5))
c_1 = If(Element[ListJ, 1] ≟ 0, Kereszt[(7.5, 11.5), 0.25], Pipa[(7.5, 11.5), 0.25])
c_2 = If(Element[ListJ, 2] ≟ 0, Kereszt[(7.5, 10.5), 0.25], Pipa[(7.5, 10.5), 0.25])
c_3 = If(Element[ListJ, 3] ≟ 0, Kereszt[(7.5, 9.5), 0.25], Pipa[(7.5, 9.5), 0.25])
c_4 = If(Element[ListJ, 4] ≟ 0, Kereszt[(7.5, 8.5), 0.25], Pipa[(7.5, 8.5), 0.25])
c_5 = If(Element[ListJ, 5] ≟ 0, Kereszt[(7.5, 7.5), 0.25], Pipa[(7.5, 7.5), 0.25])
c_6 = If(Element[ListJ, 6] ≟ 0, Kereszt[(7.5, 6.5), 0.25], Pipa[(7.5, 6.5), 0.25])
c_7 = If(Element[ListJ, 7] ≟ 0, Kereszt[(7.5, 5.5), 0.25], Pipa[(7.5, 5.5), 0.25])
c_8 = If(Element[ListJ, 8] ≟ 0, Kereszt[(7.5, 4.5), 0.25], Pipa[(7.5, 4.5), 0.25])
c_9 = If(Element[ListJ, 9] ≟ 0, Kereszt[(7.5, 3.5), 0.25], Pipa[(7.5, 3.5), 0.25])
c_10 = If(Element[ListJ, 10] ≟ 0, Kereszt[(7.5, 2.5), 0.25], Pipa[(7.5, 2.5), 0.25])
f(x) = (Element[ListTa, Counter] * (x + Element[ListTb, Counter])^(2)) + Element[ListTc, Counter]
g(x) = (Element[ListDa, Counter] * (x + Element[ListDb, Counter])^(2)) + Element[ListDc, Counter]
text2: "" + Counter + ". feladat"
ÖsszesHelyes = Sum(ListJ)
ÖsszesHiba: 10 - ÖsszesHelyes
textFinal: "Össz.: " + ÖsszesHelyes + " jó válasz, " + ÖsszesHiba + " rossz válasz"
Im1: ((x(Corner[2]) + x(Corner[1])) / 2 - (y(Corner[3]) - y(Corner[2])) / 4, y(Corner[2]) + (y(Corner[3]) - y(Corner[2])) / 4)
Im2: ((x(Corner[2]) + x(Corner[1])) / 2 + (y(Corner[3]) - y(Corner[2])) / 4, y(Corner[2]) + (y(Corner[3]) - y(Corner[2])) / 4)
AnimJó = 0 (slider from 0 to 10, step 0.1)
AnimRossz = 0 (slider from 0 to 10, step 0.1)
TIPPC: (3.2, 12.5 - Counter)
TablTippc: "" + Tippc + ""
Help1: ((-Element[ListTb, Counter]), Element[ListTc, Counter])
Help2 = Point(f)
Help3: (x(Help2), y(Help1))
Help4: (x(Help2), 0)
Help5: (0, y(Help2))
HelpP = Polygon({Help1, Help2, Help3})
HelpV1 = Vector(Help2, Help4)
HelpV2 = Vector(Help2, Help5)
a = false

Tool: Mezo
Szélesség, Magasság
Input: A, Width, Long
Output: poly1

B: A + (Width, 0)
C: A + (Width, (-Long))
D: A + (0, (-Long))
poly1 = Polygon({A, B, C, D})

Tool: fixpont
szam,szam
Input: u, v
Output: P

P: (x(Corner[4]) + (u / x(Corner[5]) * (x(Corner[3]) - x(Corner[4]))), y(Corner[4]) - (v / y(Corner[5]) * (y(Corner[4]) - y(Corner[1]))))

Tool: panelfent
szam
Input: a
Output: poligon, s

A = fixpont(0, a)
B = fixpont(x(Corner[5]), a)
s = Segment(A, B)
poligon, b, c, a_1, b_1 = Polygon(Corner[3], Corner[4], A, B)

Tool: Kereszt
Input: A, r
Output: poly1

B: A + (1, 0)
c = Circle(A, r)
a = Line(A, B)
b = OrthogonalLine(A, a)
d, e = AngularBisector(b, a)
f, g = AngularBisector(e, b)
h, i = AngularBisector(e, f)
l, m = AngularBisector(b, d)
n, p = AngularBisector(d, l)
C = Intersect(c, h, 2)
D = Intersect(c, p, 2)
t = Line(C, D)
E = Intersect(c, n, 2)
F = Intersect(c, i, 1)
G = Intersect(c, p, 1)
H = Intersect(c, h, 1)
I = Intersect(c, n, 1)
J = Intersect(c, i, 2)
d_1 = OrthogonalLine(C, t)
e_1 = OrthogonalLine(D, t)
K = Intersect(a, e_1)
L = Intersect(b, d_1)
M = Intersect(a, d_1)
N = Intersect(b, e_1)
poly1, c_2, l_1, e_2, f_2, m_1, g_2, h_1, n_1, i_1, j_1, k_1, d_2 = Polygon(C, L, E, F, M, G, H, N, I, J, K, D)

Tool: Pipa
Input: A, r
Output: poly1

B: A + (1, 0)
c = Circle(A, r)
a = Line(A, B)
b = OrthogonalLine(A, a)
d, e = AngularBisector(b, a)
f, g = AngularBisector(e, b)
h, i = AngularBisector(e, f)
l, m = AngularBisector(b, d)
n, p = AngularBisector(d, l)
F = Intersect(c, i, 1)
I = Intersect(c, n, 1)
J = Intersect(c, i, 2)
O = Intersect(c, a, 1)
P = Midpoint(A, J)
poly1, o, i_1, f_2, p_1 = Polygon(O, I, F, P)