Σουτ

Επαναφορά

Με τον δρομέα καθορίζετε την κλίση της βολής.
Με το κουμπί “Σουτ” ρίχνετε την βολή. Με το κου-
μπί “Επαναφορά” επαναφέρετε την μπάλα. 

Oδηγίες

Ερώτημα
Προσπαθήστε να βρείτε την εξίσωση της παραβολής που δίνει
την πετυχημένη βολή. Για το σκοπό αυτό πατήστε
τη “Βοήθεια” όπυ σας δίνει δύο σημεία της παραβολής.

Ερώτημα

Βοήθεια

Παραβολή

Α = (-9.46, -7.824)
Β = (-5.53, -7.82)
Γ = (11, -8)
Δ = (21.32, -7.88)
b = 0.85 (slider from -0.2 to 5, step 0.05)
Ζ: (-7, 0)
Ε = Point(xAxis)
Η = Point(Circle[Ζ, b])
g = Segment(Ζ, Η)
c_1 = Circle(Ζ, Η)
a = -0.08 (slider from -5 to -0.01, step 0.01)
h(x) = (a * x^(2)) + (b * x) + (7 * b) - (49 * a)
f(x) = If[-7 ≤ x ≤ 7 - (2 * b / a), h(x)]
p(x) = If[-7 ≤ x ≤ 7 - b / a, h(x)]
Ι = (-13.09, 3.628)
Κ = (-11.86, 3.58)
d = false
e = false
H = Point(f)
n = false
Ξ = (-9.46, -0.08)
Ο = (-5.53, -0.32)
Π = (-5.47, 1.33)
Ρ = (-9.67, 1.66)
q(x) = If[-7.2 ≤ x ≤ 7 - (1.5 * b / a), h]
Σ = Point(q)
Τ = Point(Circle[Σ, 1.3])
r = Segment(Σ, Τ)
πολύγ3, s, t, f_1, g_1, Υ, Φ = Polygon(Σ, Τ, 4)
Θ = (-6.04, 0.76)
Λ = (-6.22, -7.82)
Μ = (-4.75, -7.79)
Ν = (-4.81, 0.73)
πολύγ1, θ, λ, μ, ν = Polygon(Θ, Λ, Μ, Ν)
Χ = (-8.47, 0.52)
Ψ = (-8.44, -7.76)
Ω = (-10, -8)
Α_1 = (-9.91, 0.64)
πολύγ2, χ, ψ, ω, α_1 = Polygon(Χ, Ψ, Ω, Α_1)
Β_1 = (-7.15, 0.58)
Γ_1 = (-7.45, 0.13)
Δ_1 = (-8.17, -0.71)
Ε_1 = (-8.59, -1.1)
Ζ_1 = (-8.56, 0.85)
πολύγ4, β_1, γ_1, δ_1, ε_1, ζ_1 = Polygon(Β_1, Γ_1, Δ_1, Ε_1, Ζ_1)
Η_1 = Point(θ)
Θ_1 = (-6.85, -1.79)
Ι_1 = (-6.91, -2.96)
Κ_1 = (-6.85, -4.07)
Λ_1 = (-7.27, -5.33)
Μ_1 = (-7.3, -6.26)
Ν_1 = (-7, -6.8)
Ξ_1 = (-6.91, -7.43)
Ο_1 = (-6.52, -7.91)
Π_1 = Point(λ)
πολύγ5, η_1, θ_1, ι_1, κ_1, λ_1, μ_1, ν_1, ξ_1, ο_1, π_1 = Polygon(Η_1, Θ_1, Ι_1, Κ_1, Λ_1, Μ_1, Ν_1, Ξ_1, Ο_1, Π_1)
Ρ_1 = Point(χ)
Σ_1 = (-7.96, -7.22)
Τ_1 = (-7.24, -7.34)
Υ_1 = (-7.12, -6.59)
Φ_1 = Point(ξ_1)
Χ_1 = (-8.59, -7.94)
πολύγ6, ρ_1, σ_1, τ_1, υ_1, φ_1, χ_1 = Polygon(Ρ_1, Σ_1, Τ_1, Υ_1, Φ_1, Χ_1)
Ψ_1 = Intersect(χ, δ_1)
Ω_1 = (-8.2, -1.25)
Α_2 = (-8.17, -1.91)
Β_2 = (-8.23, -2.72)
Γ_2 = (-8.23, -3.47)
Δ_2 = (-8.14, -3.95)
Ε_2 = (-8.29, -4.49)
Ζ_2 = (-9.22, -4.37)
πολύγ7, ψ_1, ω_1, β_2, γ_2, δ_2, ε_2, ζ_2 = Polygon(Ψ_1, Ω_1, Β_2, Γ_2, Δ_2, Ε_2, Ζ_2)
Η_2 = Intersect(χ, ε_2)
Θ_2 = (-7.93, -4.97)
Ι_2 = (-8.02, -5.48)
Κ_2 = (-8.11, -6.32)
Λ_2 = (-8.5, -6.65)
πολύγ8, η_2, θ_2, ι_2, κ_2, λ_2 = Polygon(Η_2, Θ_2, Ι_2, Κ_2, Λ_2)
Μ_2 = Point(q)
Ν_2 = (-6.64, -0.08)
Ξ_2 = (-6.13, -1.07)
Ο_2 = (-5.8, -0.56)
Π_2 = (-5.59, 0.7)
πολύγ9, μ_2, ν_2, ξ_2, ο_2, π_2 = Polygon(Μ_2, Ν_2, Ξ_2, Ο_2, Π_2)
Ρ_2 = Point(δ_1)
Σ_2 = (-7.57, -0.47)
Τ_2 = Intersect(β_1, γ_1)
πολύγ10, τ_2, ρ_2, σ_2 = Polygon(Ρ_2, Σ_2, Τ_2)
Υ_2 = (-7.66, 0.52)
Φ_2 = (-6.16, 0.04)
Χ_2 = Point(π_2)
Ψ_2 = (-7.69, 1.15)
πολύγ11, υ_2, φ_2, χ_2, ψ_2 = Polygon(Υ_2, Φ_2, Χ_2, Ψ_2)
Ω_2 = Point(λ_1)
Α_3 = (-7.45, -6.08)
Β_3 = (-7.33, -6.53)
Γ_3 = (-6.79, -6.86)
πολύγ12, ω_2, α_3, β_3, γ_3 = Polygon(Ω_2, Α_3, Β_3, Γ_3)
K = Point(q)
c = false
Δ_3 = Intersect(β_1, υ_2)
Ε_3 = (-7.21, -0.32)
Ζ_3 = Intersect(γ_1, σ_2)
Η_3 = (-8.02, -0.29)
Θ_3 = (-8.08, 0.49)
πολύγ13, δ_3, ε_3, η_3, θ_3 = Polygon(Δ_3, Ε_3, Η_3, Θ_3)