#A A A. F, F d F P + F P = d P F, F P F F A. α, 0, α, 0 α > 0, + α +, α + d + α + + α + = d d F, F 0 < α < d + α + = d α + + α + = d d α + + α + d α + = d 4 4d α + = d 4 8d + 6 http://mth.cs.kitmi-it.c.jp/ kouno/kougi.html
= d = d 4 4 d + 4 d 4α = + = > ± + =, 0 < 0, ± A. 8 + 4 = + 4 = 4 3 5 + 9 = 4 6 + 5 = 5 + 9 = 6 9 + 4 = = X = Y X + Y = 3 3 A.
, X, + =, 0, 0 0, 0, A. 9 + 4 = -3 3 - A.3 9 + 4 = A. 8 + 4 = + 4 = 4 3 5 + 9 = 4 6 + 5 = 5 + 9 = 6 9 + 4 = X + Y = X = cos θ 0 < = θ < π Y = sin θ + = = cos θ = sin θ 0 < = θ < π A.3 θ, 3
+ = α β, α β α, β α β + = + α β + α + β = 0 A + C + D + E + F = 0 A, C > 0 4 4 A + D + C + A, E C = D 4A + E 4C F A + D + C + E > A C = 0 = D A, = E C E 4C K = D 4A + F K < 0 0 K = 0 = D A, = E C K > 0 K + D A K A + E + C K C = A. 9 + 4 + 8 6 = 0 9 + 4 + 8 6 = 0 9 + + 4 = 36 + + = 3 4
3 - -3 A.4 + + = 3 A. F, F d F P F P = d P F, F P F F A.5 α, 0, α, 0 α > 0, + α +, α + d 5
+ α + α + = d d d < = α d = 0 d = α 0 < d < α d = + α + + α + α + + α + + α + α + = + α + d 4 d 4 4α d = d =, 4α d = = = ± +, 0 = = = ± + f = + f f f = + f = 3 + > 0 f < 0 > 0 f 6
A.6 f = + A.4 8 4 = 4 = 4 3 5 + 9 = 4 6 5 = 5 9 = 6 9 4 = f = + + f = + = + = + + + + = 0 ± + + + f = f = = = ± = f = = f = = f 7
= = ±f = f = = = ± = A.7 = = ± = ± = 0 ± 0 = = =, > 0 = = 8
= ± θ c d 0 cos θ 0 θ θ sin θ θ cos + π sin θ + π sin θ = cos θ c d = = c c d d 0 0 = = cos θ sin θ sin θ cos θ c d = cos θ sin θ sin θ cos θ, θ, cos θ = sin θ sin θ cos θ F, = 0 θ, θ cos θ sin θ, sin θ+ cos θ = cos θ + sin θ, sin θ + cos θ = X, Y, θ X, Y F X, Y = 0 F, = 0 θ F cos θ + sin θ, sin θ + cos θ = 0 9
= c c > 0 = c θ cos θ + sin θ sin θ + cos θ = c cos θ sin θ + cos θ sin θ + cos θ sin θ = c sin θ + cos θ + sin θ = c cos θ = 0 θ = π 4 sin θ = sin π = = c = c c 4.4 = c = π c c 4 A.8 = c = c c cosh t = et + e t sinh t = et e t 0
cosh, sinh cosh t sinh t = = cosh t = sinh t = = = = cosh t = sinh t = α β, α β α, β α β = α + β + α β = 0 A + C + D + E + F = 0 A > 0 > C 3 4 A + D + C + A E C = D 4A + E 4C F! cosh cosh cosh
K = D 4A + E 4C F K = 0 = D A, = E C K > 0 K + D A K A + E C K = C K < 0 K + D A K A + E + C K = C A.3 4 = 0 4 = 0 + = 8 + + = - A.9 + =
A.5 8 4 = 4 = 4 3 5 + 9 = 4 6 5 = 5 9 = 6 9 4 = 7 9 6 + 8 + 64 99 = 0 8 + 4 + 5 = 0 A.3 l F P l P F P l F l P _ F A.0 = p 0, p, = p + p, 0, p + p + p = + p + p = + p + p p = 4p = = 4p 3
m m d dt = m d dt = 0 m d dt = mg 0 mg 0 mg Newton m d dt = 0 d dt = g = 0 + v t = 0 + v t gt 0, 0 t = 0 0, 0 v v 0, 0, v, v v v t = 0 t 0, = 0 + v t, 0 + v t gt =, 0 + v t = 0 + v t gt t > = 0 v = 0 v < 0 v > 0 v < 0 = 0 + v t = 0 + v g g t = 0 v = 0 + v g g t v t > = 0 g t v g = 0 + v g g 0 v, > v g = 0 t > = 0 4
0 + v v, 0 + v > g g = 0 A.6 = α, β, = = 4 + 8 A.4, = 0 A + B + C + D + E + F = 0 A, B, C 0, 0, 0, : : e α, 0 α > 0, prol 000 5
, α + e = α + e = α + e + α α = 0 + α α = 0 e = e + α e e α e = 0 e + α e eα + eα = 0 < e < e e = α + α e = + α e eα eα = e > e e 0 < e < e = e > e 0 < e < + α e eα e eα e + + eα e eα e = + = e = = = eα e eα e = eα e = e e = A.7 A.8 = e, 6