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Β ΓΙℑΟ D Χ ςℵ ℵΟ Τ Ο −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− δ β ΤΗΙ ΤΥΨ Ν ΣΙΝΗ Ι Η Χ, ΧΑΟ ΝΓ Ν Μ 2002 Μν τηι: ΤΟℑΝ, ΚΗ Ι Β Τη ι γιαν λ◊m β◊ι: 180 πητ, κηνγ κ τη ι γιαν πη〈τ đ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Χυ (3 đι m) Χηο η◊m σ ψ = ξ + mξ − ξ − 2m − (1) (m λ◊ τηαm σ ) 3 1 Χηο m = α) Κη ο σ〈τ ϖ◊ ϖ đ τη β) ςι τ πη (Χ ) χ α η◊m σ (1) (Χ ) , νγ τρνη τι π τυψ ν χ α đ τη βι τ ρ νγ τι π τυψ ν đ⌠ σονγ σονγ ϖ ι νγ τη νγ δ : ψ = ξ + ⎛ 5⎞ Τm m τηυ χ κηο νγ ⎜ 0; ⎟ σαο χηο ηνη πη νγ γι ι η ν β ι đ τη η◊m σ (1) ϖ◊ χ〈χ ⎝ 6⎠ đ νγ τη νγ ξ = 0, ξ = 2, ψ = χ⌠ δι ν τχη β νγ đ Χυ (2 đι m) ⎧⎪ ξ − ψ + = νγ τρνη ⎨ ⎪⎩ λογ ξ − λογ ψ = ( − σιν 2 ξ ) σιν 3ξ νγ τρνη τγ ξ + = χοσ ξ Γι ι η πη Γι ι πη Χυ (2 đι m) Χηο ηνη χη⌠π Σ ΑΒΧD χ⌠ đ〈ψ λ◊ ηνη ϖυνγ χ νη α , ΣΑ ϖυνγ γ⌠χ ϖ ι m τ πη νγ ( ΑΒΧD ) ϖ◊ ΣΑ = α Γ ι Ε λ◊ τρυνγ đι m χ α χ νη ΧD Τνη τηεο α κηο νγ χ〈χη τ đι m Σ đ ν đ νγ τη νγ ΒΕ Τρονγ κηνγ γιαν ϖ ι η τ α đ Οξψζ χηο đ νγ τη νγ ⎧2 ξ + ψ + ζ + = ϖ◊ m τ πη νγ ( Π ) : ξ − ψ + ζ − = ∆:⎨ ⎩ξ + ψ + ζ + = νγ τρνη ηνη χηι υ ϖυνγ γ⌠χ χ α đ ςι τ πη νγ τη νγ ∆ τρν m τ πη νγ ( Π ) Χυ (2 đι m) ξ +1 + ξ −1 ξ →0 ξ Τρονγ m τ πη νγ ϖ ι η τ α đ Οξψ χηο ηαι đ Τνη γι ι η ν Ι = λιm νγ τρ∫ν ( Χ1 ) : ξ + ψ − ψ − = ϖ◊ ( Χ2 ) : ξ + ψ − ξ + ψ + 16 = 2 νγ τρνη χ〈χ τι π τυψ ν χηυνγ χ α ηαι đ ςι τ πη νγ τρ∫ν ( Χ1 ) ϖ◊ ( Χ2 ) Χυ (1 đι m) Γι σ ξ, ψ λ◊ ηαι σ δ νγ τηαψ đ ι τη α mν đι υ κι ν ξ + ψ = Τm γι〈 τρ νη νη τ χ α 4 + ξ 4ψ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−Η τ−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Γηι χη: Χ〈ν β χοι τηι κηνγ γι ι τηχη γ τηm Η ϖ◊ τν τη σινη Σ β〈ο δανη βι υ τη χ σαυ Σ = DeThiMau.vn Β ΓΙℑΟ D Χ ςℵ ℵΟ Τ Ο −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− δ β ΤΗΙ ΤΥΨ Ν ΣΙΝΗ Ι Η Χ, ΧΑΟ ΝΓ Ν Μ 2002 Μν τηι: ΤΟℑΝ, ΚΗ Ι Β Τη ι γιαν λ◊m β◊ι: 180 πητ, κηνγ κ τη ι γιαν πη〈τ đ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Χυ (2,5 đι m) ξ2 − ξ + m (1) (m λ◊ τηαm σ ) ξ−2 Ξ〈χ đ νη m đ η◊m σ (1) νγη χη βι ν τρν κηο νγ ( −1;0 ) Χηο η◊m σ ψ = Κη ο σ〈τ ϖ◊ ϖ đ τη χ α η◊m σ (1) κηι m = Τm α đ πη νγ τρνη σαυ χ⌠ νγηι m 91+ 1− ξ − ( α + ) 31+ 1− ξ + 2α + = Χυ (2 đι m) Τm σ ν νγυψν δ νγ τη α mν β τ πη νγ τρνη Αν3 + 2Χνν − ≤ 9ν ( Ανκ ϖ◊ Χνκ λ ν λ σ χη νη η π ϖ◊ σ τ η π χη π κ χ α ν πη ν τ ) 1 Γι ι πη νγ τρνη λογ ( ξ + 3) + λογ ( ξ − 1) = λογ ( ξ ) τ λ◊ Χυ (1,5 đι m) σιν ξ + χοσ ξ 1 = χοτ γ ξ − 5σιν ξ 8σιν ξ Τνη δι ν τχη ταm γι〈χ ΑΒΧ , βι τ ρ νγ β.σιν Χ ( β.χοσ Χ + χ.χοσ Β ) = 20 Γι ι πη ( β, χ λ ν λ νγ τρνη τ λ◊ đ δ◊ι χ〈χ χ νη ΑΧ , ΑΒ χ α ταm γι〈χ ΑΒΧ ) Χυ (3 đι m) Χηο τ δι ν ΟΑΒΧ χ⌠ βα χ νη ΟΑ, ΟΒ, ΟΧ đι m τ ϖυνγ γ⌠χ ϖ ι νηαυ Γ ι α, β, γ λ ν λ τ λ◊ χ〈χ γ⌠χ γι α m τ πη νγ ( ΑΒΧ ) ϖ ι χ〈χ m τ πη νγ ( ΟΒΧ ) , ( ΟΧΑ ) , ( ΟΑΒ ) Χη νγ mινη ρ νγ χοσ α + χοσ β + χοσ γ ≤ Τρονγ κηνγ γιαν ϖ ι η τ α đ Οξψζ χηο m τ πη νγ ( Π ) : ξ − ψ + ζ + = ϖ◊ ηαι đι m Α ( −1; −3; −2 ) , Β ( −5;7;12 ) α) Τm τ α đ đι m Χ đ ι ξ νγ ϖ ι đι m Α θυα m τ πη νγ ( Π ) β) Τm τ α đ đι m Μ τηυ χ m τ πη νγ ( Π ) σαο χηο τ νγ ΜΑ + ΜΒ đ τ γι〈 τρ νη νη τ Χυ (1 đι m) λν Τνη τχη πην Ι = ∫ ε ξ δξ (ε ξ + 1) −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−Η τ−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Γηι χη: Χ〈ν β χοι τηι κηνγ γι ι τηχη γ τηm Η ϖ◊ τν τη σινη Σ β〈ο δανη DeThiMau.vn Β ΓΙℑΟ D Χ ςℵ ℵΟ Τ Ο −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− δ β ΤΗΙ ΤΥΨ Ν ΣΙΝΗ Ι Η Χ, ΧΑΟ ΝΓ Ν Μ 2003 Μν τηι: ΤΟℑΝ, ΚΗ Ι Β Τη ι γιαν λ◊m β◊ι: 180 πητ, κηνγ κ τη ι γιαν πη〈τ đ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Χυ (2 đι m) Χηο η◊m σ ψ = ( ξ − 1) ξ + mξ + m ( ) (1) (m λ◊ τηαm σ ) Τm m đ đ τη η◊m σ (1) χ τ τρ χ ηο◊νη τ ι βα đι m πην βι τ Κη ο σ〈τ σ βι ν τηιν ϖ◊ ϖ đ τη η◊m σ (1) κηι m = Χυ (2 đι m) Γι ι πη νγ τρνη 3χοσ ξ − 8χοσ ξ + χοσ ξ + = Τm m đ πη νγ τρνη ( λογ ξ ) − λογ ξ + m = χ⌠ νγηι m τηυ χ κηο νγ ( 0;1) Χυ (3 đι m) Τρονγ m τ πη νγ ϖ ι η τ α đ Οξψ χηο đ νγ τη νγ δ : ξ − ψ + 10 = ςι τ πη νγ τρνη đ νγ τρ∫ν χ⌠ τm τηυ χ đ νγ τη νγ ∆ : ξ + ψ = ϖ◊ τι π ξχ ϖ ι đ νγ τη νγ δ τ ι đι m Α ( 4; ) Χηο ηνη λ π πη νγ ΑΒΧD Α ∋ Β ∋ Χ ∋ D ∋ Τm đι m Μ τηυ χ χ νη ΑΑ ∋ σαο χηο m τ πη νγ ( ΒD ∋ Μ ) χ τ ηνη λ π πη νγ τηεο m τ τηι τ δι ν χ⌠ δι ν τχη νη νη τ Τρονγ ( κηνγ ) γιαν ϖ ι ( η ) τ α đ Οξψζ χηο τ δι ν ΟΑΒΧ ϖ ι Α 0; 0; α , Β ( α; 0; ) , Χ 0; α 3; Γ ι Μ λ◊ τρυνγ đι m χ α ΒΧ Τνη κηο νγ χ〈χη γι α ηαι đ νγ τη νγ ΑΒ ϖ◊ ΟΜ Χυ (2 đι m) Τm γι〈 τρ λ ν νη τ ϖ◊ γι〈 τρ νη νη τ χ α η◊m σ λν Τνη τχη πην Ι = ∫ λν ε ξ δξ εξ −1 ψ = ξ + (1 − ξ ) τρν đο ν [ −1;1] Χυ (1 đι m) Τ χ〈χ χη σ 1, 2, 3, 4, 5, χ⌠ τη λ π đ χ βαο νηιυ σ τ νηιν, m ι σ χ⌠ χη σ ϖ◊ τη α mν đι υ κι ν: Σ〈υ χη σ χ α m ι σ λ◊ κη〈χ νηαυ ϖ◊ τρονγ m ι σ đ⌠ τ νγ χ α βα χη σ đ υ νη η ν τ νγ χ α βα χη σ χυ ι m τ đ ν ϖ ? −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−Η τ−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Γηι χη: Χ〈ν β χοι τηι κηνγ γι ι τηχη γ τηm Η ϖ◊ τν τη σινη Σ β〈ο δανη DeThiMau.vn Β ΓΙℑΟ D Χ ςℵ ℵΟ Τ Ο −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− δ β ΤΗΙ ΤΥΨ Ν ΣΙΝΗ Ι Η Χ, ΧΑΟ ΝΓ Ν Μ 2003 Μν τηι: ΤΟℑΝ, ΚΗ Ι Β Τη ι γιαν λ◊m β◊ι: 180 πητ, κηνγ κ τη ι γιαν πη〈τ đ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Χυ (2 đι m) 2ξ −1 (1) ξ −1 Κη ο σ〈τ σ βι ν τηιν ϖ◊ ϖ đ τη Χηο η◊m σ ψ = χ α ( Χ ) τ ι Μ ϖυνγ γ⌠χ ϖ ι đ νγ τη νγ ΙΜ ( − ) χοσ ξ − 2σιν Γι ι πη νγ τρνη Γι ι β τ πη α η◊m σ (1) νγ τι m χ ν χ α ( Χ ) Τm đι m Μ τηυ χ ( Χ ) σαο χηο τι π τυψ ν Γ ι Ι λ◊ γιαο đι m ηαι đ Χυ (2 đι m) (Χ ) χ ⎛ ξ π⎞ ⎜ − ⎟ ⎝ ⎠ = χοσ ξ − νγ τρνη λογ ξ + λογ ( ξ − 1) + λογ ≤ Χυ (3 đι m) ξ2 ψ = ϖ◊ χ〈χ đι m Τρονγ m τ πη νγ ϖ ι η τ α đ Οξψ χηο ελιπ ( Ε ) : + Μ ( −2;3) , Ν ( 5; ν ) ςι τ πη νγ τρνη χ〈χ đ νγ τη νγ δ1 , δ θυα Μ ϖ◊ τι π ξχ ϖ ι ( Ε ) Τm ν đ τρονγ σ χ〈χ τι π τυψ ν χ α ( Ε ) đι θυα Ν χ⌠ m τ τι π τυψ ν σονγ σονγ ϖ ι δ1 ηο χ δ2 Χηο ηνη χη⌠π đ υ Σ ΑΒΧ , χ νη đ〈ψ β νγ α , m τ βν τ ο ϖ ι đ〈ψ m τ γ⌠χ β νγ ϕ (0 < ϕ < 900 ) Τνη τη τχη κη ι χη⌠π Σ ΑΒΧ ϖ◊ κηο νγ χ〈χη τ đ νη Α đ ν m τ πη νγ ( ΣΒΧ ) Τρονγ κηνγ γιαν ϖ ι η τ α đ Οξψζ χηο ηαι đι m Ι ( 0;0;1) , Κ ( 3;0;0 ) ςι τ πη νγ τρνη m τ πη νγ đι θυα ηαι đι m Ι , Κ ϖ◊ τ ο ϖ ι m τ πη νγ Οξψ m τ γ⌠χ β νγ 300 Χυ (2 đι m) Τ m τ τ γ m η χ σινη ν ϖ◊ η χ σινη ναm χ ν χη ν ρα εm τρονγ đ⌠ σ η χ σινη ν πη ι νη η ν Η ι χ⌠ βαο νηιυ χ〈χη χη ν νη ϖ ψ ? α Χηο η◊m σ φ ( ξ ) = + βξε ξ Τm α, β βι τ ρ νγ ( ξ + 1) φ ∋ ( ) = −22 ϖ◊ ∫ φ ( ξ ) δξ = Χυ (1 đι m) Χη νγ mινη ρ νγ ε ξ + χοσ ξ ≥ + ξ − ξ2 , ∀ξ ∈ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−Η τ−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Γηι χη: Χ〈ν β χοι τηι κηνγ γι ι τηχη γ τηm Η ϖ◊ τν τη σινη Σ β〈ο δανη DeThiMau.vn Β ΓΙℑΟ D Χ ςℵ ℵΟ Τ Ο −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− δ β ΤΗΙ ΤΥΨ Ν ΣΙΝΗ Ι Η Χ, ΧΑΟ ΝΓ Ν Μ 2004 Μν τηι: ΤΟℑΝ, ΚΗ Ι Β Τη ι γιαν λ◊m β◊ι: 180 πητ, κηνγ κ τη ι γιαν πη〈τ đ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Χυ (2 đι m) Χηο η◊m σ ψ = ξ3 − 2mξ + m2 ξ − (1) (m λ◊ τηαm σ ) Κη ο σ〈τ η◊m σ (1) κηι m = Τm m đ η◊m σ (1) đ τ χ χ τι υ τ ι ξ = Χυ (2 đι m) 1 π⎞ ⎛ νγ τρνη 2 χοσ ⎜ ξ + ⎟ + = ⎠ σιν ξ χοσ ξ ⎝ ξ −1 + ξ − 11 Γι ι β τ πη νγ τρνη > ξ−2 Γι ι πη Χυ (3 đι m) Τρονγ m τ πη νγ ϖ ι η τ α đ Οξψ χηο đι m Ι ( −2;0 ) ϖ◊ ηαι đ νγ τη νγ δ1 : ξ − ψ + = 0, δ : ξ + ψ − = νγ τη νγ δ đι θυα đι m Ι ϖ◊ χ τ ηαι đ νγ τρνη đ ςι τ πη νγ τη νγ δ1 , δ λ ν λ Α, Β σαο χηο ΙΑ = 2.ΙΒ Τρονγ κηνγ γιαν ϖ ι η τ α đ Οξψζ χηο Α ( 4; 2; ) , Β ( 0;0;7 ) ϖ◊ đ ττ ι νγ τη νγ ξ − ψ − ζ −1 = = −2 Χη νγ mινη ρ νγ ηαι đ νγ τη νγ δ ϖ◊ ΑΒ τηυ χ χνγ m τ m τ πη νγ Τm đι m Χ τρν đ νγ τη νγ δ σαο χηο ταm γι〈χ ΑΒΧ χν τ ι đ νη Α Χηο ηνη χη⌠π Σ ΑΒΧ χ⌠ ΣΑ = 3α ϖ◊ ϖυνγ γ⌠χ ϖ ι đ〈ψ ΑΒΧ , ταm γι〈χ ΑΒΧ χ⌠ ΑΒ = ΒΧ = 2α, γ⌠χ Β β νγ 1200 Τνη κηο νγ χ〈χη τ đ νη Α đ ν m τ πη νγ ( ΣΒΧ ) δ: Χυ (2 đι m) Τνη τχη πην Ι = δξ ∫ ξ+ξ Βι τ ρ νγ ( + ξ ) 100 = α0 + α1 ξ + + α100 ξ100 Χη νγ mινη ρ νγ, α2 < α3 ς ι γι〈 τρ ν◊ο χ α κ τη ακ < ακ +1 ( ≤ κ ≤ 99 ) ? Χυ (1 đι m) Χηο η◊m σ ψ = ε ξ − σιν ξ + ξ2 Τm γι〈 τρ νη νη τ χ α η◊m σ φ ( ξ) ϖ◊ χη νγ mινη ρ νγ πη νγ τρνη φ ( ξ) = χ⌠ đνγ ηαι νγηι m −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−Η τ−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Γηι χη: Χ〈ν β χοι τηι κηνγ γι ι τηχη γ τηm Η ϖ◊ τν τη σινη Σ β〈ο δανη DeThiMau.vn Β ΓΙℑΟ D Χ ςℵ ℵΟ Τ Ο −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− δ β ΤΗΙ ΤΥΨ Ν ΣΙΝΗ Ι Η Χ, ΧΑΟ ΝΓ Ν Μ 2004 Μν τηι: ΤΟℑΝ, ΚΗ Ι Β Τη ι γιαν λ◊m β◊ι: 180 πητ, κηνγ κ τη ι γιαν πη〈τ đ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Χυ (2 đι m) ξ − 2mξ + (1) (m λ◊ τηαm σ ) ξ −1 Κη ο σ〈τ η◊m σ (1) κηι m = Τm m đ đ τη η◊m σ (1) χ⌠ ηαι đι m χ χ τρ Α, Β Χη νγ mινη ρ νγ κηι đ⌠ đ τη νγ ΑΒ σονγ σονγ ϖ ι đ νγ τη νγ δ : ξ − ψ − 10 = Χηο η◊m σ ψ = νγ Χυ ΙΙ (2 đι m) Γι ι πη νγ τρνη σιν ξ σιν ξ = χοσ ξ χοσ ξ Γι ι β τ πη νγ τρνη λογ3 ξ > λογ ξ Χυ (3 đι m) ξ2 ψ + = ςι τ πη νγ τη νγ δ : ξ + ψ − = Τρονγ m τ πη νγ ϖ ι η τ α đ Οξψ χηο ελιπ ( Ε ) : τυψ ν χ α ( Ε ) σονγ σονγ ϖ ι đ νγ τρνη χ〈χ τι π Τρονγ κηνγ γιαν ϖ ι η τ α đ Οξψζ χηο ηαι đι m Α ( 2;0;0 ) ϖ◊ Μ (1;1;1) α) Τm τ α đ đι m Ο ∋ đ ι ξ νγ ϖ ι Ο θυα đ νγ τη νγ ΑΜ β) Γ ι ( Π ) λ◊ m τ πη νγ τηαψ đ ι λυν đι θυα đ νγ τη νγ ΑΜ , χ τ χ〈χ τρ χ Οψ, Οζ λ ν λ τ ι χ〈χ đι m Β, Χ Γι σ Β ( 0; β;0 ) , Χ ( 0;0; χ ) , β > 0, χ > Χη νγ mινη ρ νγ β + χ = Ξ〈χ đ νη β, χ σαο χηο δι ν τχη ταm γι〈χ ΑΒΧ νη νη τ Χυ (2 đι m) τ βχ π Τνη τχη πην Ι = ∫ εχοσ ξ σιν ξδξ Γι σ (1 + ξ ) ν = α0 + α1 ξ + + αν ξ ν Βι τ ρ νγ α0 + α1 + α2 + + αν = 729 Τm ν ϖ◊ σ λ ν νη τ τρονγ χ〈χ σ α0 , α1 , α2 , , αν Χυ (1 đι m) Χηο ταm γι〈χ ΑΒΧ τη α mν Α ≤ 900 ϖ◊ σιν Α = 2σιν Β σιν Χτγ τη χ Σ = − σιν σιν Β Α Τm γι〈 τρ νη νη τ χ α βι υ Α −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−Η τ−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− Γηι χη: Χ〈ν β χοι τηι κηνγ γι ι τηχη γ τηm Η ϖ◊ τν τη σινη Σ β〈ο δανη DeThiMau.vn ... Ο −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− δ β ΤΗΙ ΤΥΨ Ν ΣΙΝΗ Ι Η Χ, ΧΑΟ ΝΓ Ν Μ 2002 Μν τηι: ΤΟℑΝ, ΚΗ Ι Β Τη ι γιαν λ◊m β◊ι: 180 πητ, κηνγ κ τη ι γιαν πη〈τ đ −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−... Σ β〈ο δανη DeThiMau.vn Β ΓΙℑΟ D Χ ςℵ ℵΟ Τ Ο −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− δ β ΤΗΙ ΤΥΨ Ν ΣΙΝΗ Ι Η Χ, ΧΑΟ ΝΓ Ν Μ 2003 Μν τηι: ΤΟℑΝ, ΚΗ Ι Β Τη ι γιαν λ◊m β◊ι: 180 πητ, κηνγ κ τη ι... Σ β〈ο δανη DeThiMau.vn Β ΓΙℑΟ D Χ ςℵ ℵΟ Τ Ο −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− δ β ΤΗΙ ΤΥΨ Ν ΣΙΝΗ Ι Η Χ, ΧΑΟ ΝΓ Ν Μ 2003 Μν τηι: ΤΟℑΝ, ΚΗ Ι Β Τη ι γιαν λ◊m β◊ι: 180 πητ, κηνγ κ τη ι

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