BD = a, EA = b, BH = a, BF = b 3 EF B, EOA, BOD EF B EOA BF : AO = BE : AE, b : = BE : b, AF = BF = b BE = bb. () EF = b AF = b b. (2) EF B BOD EF : B
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1 p q θ = 80 B E a H F b θ/2 O θ/2 D A B E
2 BD = a, EA = b, BH = a, BF = b 3 EF B, EOA, BOD EF B EOA BF : AO = BE : AE, b : = BE : b, AF = BF = b BE = bb. () EF = b AF = b b. (2) EF B BOD EF : BO = BE : DB, EF : = BE : a, BE = a EF. (3) (), (2), (3) bb = a(b b ), b = ab a + b. (4) 2 F BH, ABD BF : BA = BH : BD, b : BA = a : a BA = 2a 2(a ) 2 = ab, ab a = 2. (5) BB = 2a p = 2a EE = 2b q = 2b 2 AB = 2a p 2 = (2)(2a ) 2BF = 2b q 2 = (2)(2b ) (4), (5) p, q, p 2, q 2 q 2 = 4 (2) 2 p q (2) (p + q ) = 2p q, (6) p + q p 2 = 4 2 (2) p (4) q 2 = p q 2. (7) = 6 p 6 = 6, q 6 = 4 3 (6) q 2 = = 24(2 3). (7) p 2 = 6 24(2 3) =
3 = 2, < π < 3.253, = 24, < π < 3.596, = 48, < π < 3.460, = 96, 3.40 < π < 3.427, = 92, 3.44 < π < π E B G O θ D A G B E 6 a BB = a OAB 2 OA BD = ( ) 2 2 a = 4 a s 2 = (2)(a /4) = a /2 ( ABB ) = ( OAB ) 2 ( OBB ) 3
4 (5 OBGG B ) = ( OAB ) 2 + ( ABB ) = ( OAB ) 4 ( OBB ) ( ) < 4 ( OAB ) ( OBB ) = 2s 2 s, s 2 < ( ) < s 2 + (s 2 s ) p = a s 2 = p /2 2 p < ( ) < 2 p + 2 (p p /2 ) π π a 2 a OD = (a /2) 2, AD = OD AB = BD 2 + AD 2 = (a /2) 2 + ( (a /2) 2 ) 2 = 2 4 a 2. AB = a 2 a 2 = 2 4 a 2. (8) (8) = 6 a 6 = a 2 = 2 3 (8) a 24 = , a 48 = , a 96 = , a 92 = ,. 4
5 s 24 = = 3.326, s 48 = = 3.393, s 96 = = 3.40, s 92 = = 3.45, < π < < π < = = x = si θ π 2 θ π 2 θ = arcsi x x x = si θ π 2 θ π 2 θ arcsi x x = ta θ π 2 < θ < π 2 θ = arcta x < x < x = ta θ π 2 < θ < π 2 θ arcta x x = si θ dx dθ = cos θ = si 2 θ = x 2 d dθ arcsi x = dx dx = x 2 5 (9)
6 x = ta θ dx dθ = cos 2 θ = + ta2 θ = + x 2 d dθ arcta x = dx dx = (0) + x 2 x < + x 2 = x2 + x 4 x 6 + = ( ) x 2 (0) arcta x = C + x x3 3 + x5 5 x7 7 + = C + ( ) x x = 0 C = arcta 0 = 0 arcta x arcta x = x x3 3 + x5 5 x7 7 + = ( ) x () x < x = ta π = 4 arcta = π 4 () x = π 4 = = ( ) 2 + (2) ta x ta(α + β) = ta 2α = ta α + ta β ta α ta β 2 ta α ta 2 α α = arcta 5 ta 2α = 2 ta α ta 2 α =
7 ta 4α = 2 ta 2α ta 2 2α = β = 4α π 4 ta β = ta 4α + ta 4α = 239. β = arcta 239 π 4 = 4α β = 4 arcta 5 arcta 239. () (704 ) π 4 = 4 ( ) (2 + )5 ( ) (3) 2+ (2 + ) (2) = 4 π = arcta x arcsi x 2 a ( + x) a = a ( ) a x, ( ) a = a C = a(a ) (a + ),! ( ) ( ) a a = a a 0 a = /2 ( ) 2 = ( )( 3 2 ) ( ) (2 )(2 3) 3 = ( ),! 2! ( /2 ) ( /2 ) x x < ( + x) /2 + x = + (2 )(2 3) 3 ( ) x. 2! = x x 2 = + x 2 = (2 )(2 3) 3 x 2. 2! 7
8 (9) arcsi x = x + = (2 )(2 3) 3 x 2+ (4) 2 (2 + )! si π = 6 2 arcsi = π 2 6 (4) x = /2 π 6 = 2 + = (2 )(2 3) (2 + )! (5) = 3 π = 3.4 (5) π 6 (665 ) (2) (5) (739 ) 49 π 4 (83 ) α (α; ) = α(α + ) (α + ) (α; 0) = α, β, γ 0,, 2,... x < F (α, β, γ; x) = (α; )(β; ) x (6) (γ; )! F (α, β, γ; x) α, β, γ (α; ) ( ) α F (α, β, β; x) = x = x = ( + x) α,! xf (,, 2; x) =!! ( + )!! x+ = 8 + x+ = log( x),
9 ( xf 2,, 3 ) 2 ; x2 = 2 + ( ) x 2+ = arcta x. F (α, β, γ; x) = F (α, β +, γ + ; x) F (α, β, γ; x) = F (α +, β, γ + ; x) α(γ β) xf (α +, β +, γ + 2; x), (7) γ(γ + ) β(γ α) xf (α +, β +, γ + 2; x). (8) γ(γ + ) (7) F (α, β +, γ + ; x) F (α, β, γ; x) F (α, β +, γ + ; x) = α(γ β) γ(γ + ) x F (α, β +, γ + ; x) F (α +, β +, γ + 2; x) (8) (α, β, γ) (α, β +, γ + ) F (α +, β +, γ + 2; x) F (α, β +, γ + ; x) F (α +, β +, γ + 2; x) F (α, β, γ; x) F (α, β +, γ + ; x) = = (β + )(γ + α) (γ + )(γ + 2) x α(γ β) x γ(γ+) (β+)(γ+ α) x (γ+)(γ+2) F (α+,β+,γ+2;x) F (α+,β+2,γ+3;x) F (α+,β+,γ+2;x) F (α+,β+2,γ+3;x)... F (α, β, γ; x) F (α, β +, γ + ; x) = a x a 2 x... a 2ν x F (α+ν,β+ν,γ+2ν;x) F (α+ν,β+ν+,γ+2ν+;x). (α + )(γ + β) a 2 = (γ + 2 2)(γ + 2 ), a (β + )(γ + α) 2 = (γ + 2 )(γ + 2),. 9
10 α = γ =, β = 0 2 F (/2, 0, /2; x2 ) =, xf (/2,, 3/2; x 2 ) = arcta x x arcta x = + a x 2 a 2 x a 2ν x 2 F (ν+/2,ν,2ν+/2; x 2 ) F (ν+/2,ν+,2ν+3/2; x 2 ) (2 ) 2 a 2 = (4 3)(4 ), a (2) 2 2 = (4 )(4 + ),. a = 2 (2 )(2 + ), ν arcta x. arcta x = x x 2 3 (2x) (3x) (x) 2 (2 )(2+)... = x x 2 (2x) 2 (3x) (9) 2 + (x)2... 0
11 (9) x = arcta = π 4 π π = (20) {A }, {B } A = (2 + )A + 2 A 2, = 2, 3,..., A = 3, A 2 = 9, B = (2 + )B + 2 B 2, = 2, 3,..., B =, B 2 = 6. A B = = 5 π A B A /B / / / / A 2 /B 2 = / =
12 3 2 ( 96 ) ( 92 ) ( ) 737 ( ) 67 ( ) 674 ( ) ( ) ( ) 83 [],,, 999. [2],,,
1 1 3 ABCD ABD AC BD E E BD 1 : 2 (1) AB = AD =, AB AD = (2) AE = AB + (3) A F AD AE 2 = AF = AB + AD AF AE = t AC = t AE AC FC = t = (4) ABD ABCD 1 1
ABCD ABD AC BD E E BD : () AB = AD =, AB AD = () AE = AB + () A F AD AE = AF = AB + AD AF AE = t AC = t AE AC FC = t = (4) ABD ABCD AB + AD AB + 7 9 AD AB + AD AB + 9 7 4 9 AD () AB sin π = AB = ABD AD
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.1 A cos 2π 3 sin 2π 3 sin 2π 3 cos 2π 3 T ra 2 deta T ra 2 deta T ra 2 deta a + d 2 ad bc a 2 + d 2 + ad + bc A 3 a b a 2 + bc ba + d c d ca + d bc +
.1 n.1 1 A T ra A A a b c d A 2 a b a b c d c d a 2 + bc ab + bd ac + cd bc + d 2 a 2 + bc ba + d ca + d bc + d 2 A a + d b c T ra A T ra A 2 A 2 A A 2 A 2 A n A A n cos 2π sin 2π n n A k sin 2π cos 2π
取扱説明書 -詳細版- 液晶プロジェクター CP-AW3019WNJ
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HITACHI 液晶プロジェクター CP-AX3505J/CP-AW3005J 取扱説明書 -詳細版- 【技術情報編】
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2 (1) a = ( 2, 2), b = (1, 2), c = (4, 4) c = l a + k b l, k (2) a = (3, 5) (1) (4, 4) = l( 2, 2) + k(1, 2), (4, 4) = ( 2l + k, 2l 2k) 2l + k = 4, 2l
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(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0
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量子力学 問題
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0. A A = 4 IC () det A () A () x + y + z = x y z X Y Z = A x y z ( 5) ( s5590) 0. a + b + c b c () a a + b + c c a b a + b + c 0 a b c () a 0 c b b c 0 a c b a 0 0. A A = 7 5 4 5 0 ( 5) ( s5590) () A ()
5. F(, 0) = = 4 = 4 O = 4 =. ( = = 4 ) = 4 ( 4 ), 0 = 4 4 O 4 = 4. () = 8 () = 4
... A F F l F l F(p, 0) = p p > 0 l p 0 P(, ) H P(, ) P l PH F PF = PH PF = PH p O p ( p) + = { ( p)} = 4p l = 4p (p 0) F(p, 0) = p O 3 5 5. F(, 0) = = 4 = 4 O = 4 =. ( = = 4 ) = 4 ( 4 ), 0 = 4 4 O 4 =
ORIGINAL TEXT I II A B 1 4 13 21 27 44 54 64 84 98 113 126 138 146 165 175 181 188 198 213 225 234 244 261 268 273 2 281 I II A B 292 3 I II A B c 1 1 (1) x 2 + 4xy + 4y 2 x 2y 2 (2) 8x 2 + 16xy + 6y 2
2 1 1 α = a + bi(a, b R) α (conjugate) α = a bi α (absolute value) α = a 2 + b 2 α (norm) N(α) = a 2 + b 2 = αα = α 2 α (spure) (trace) 1 1. a R aα =
1 1 α = a + bi(a, b R) α (conjugate) α = a bi α (absolute value) α = a + b α (norm) N(α) = a + b = αα = α α (spure) (trace) 1 1. a R aα = aα. α = α 3. α + β = α + β 4. αβ = αβ 5. β 0 6. α = α ( ) α = α
O1-1 O1-2 O1-3 O1-4 O1-5 O1-6
O1-1 O1-2 O1-3 O1-4 O1-5 O1-6 O1-7 O1-8 O1-9 O1-10 O1-11 O1-12 O1-13 O1-14 O1-15 O1-16 O1-17 O1-18 O1-19 O1-20 O1-21 O1-22 O1-23 O1-24 O1-25 O1-26 O1-27 O1-28 O1-29 O1-30 O1-31 O1-32 O1-33 O1-34 O1-35
極限
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A (1) = 4 A( 1, 4) 1 A 4 () = tan A(0, 0) π A π
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s s U s L e A = P A l l + dl dε = dl l l
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6 2 2 x y x y t P P = P t P = I P P P ( ) ( ) ,, ( ) ( ) cos θ sin θ cos θ sin θ, sin θ cos θ sin θ cos θ y x θ x θ P
6 x x 6.1 t P P = P t P = I P P P 1 0 1 0,, 0 1 0 1 cos θ sin θ cos θ sin θ, sin θ cos θ sin θ cos θ x θ x θ P x P x, P ) = t P x)p ) = t x t P P ) = t x = x, ) 6.1) x = Figure 6.1 Px = x, P=, θ = θ P
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zz + 3i(z z) + 5 = 0 + i z + i = z 2i z z z y zz + 3i (z z) + 5 = 0 (z 3i) (z + 3i) = 9 5 = 4 z 3i = 2 (3i) zz i (z z) + 1 = a 2 {
04 zz + iz z) + 5 = 0 + i z + i = z i z z z 970 0 y zz + i z z) + 5 = 0 z i) z + i) = 9 5 = 4 z i = i) zz i z z) + = a {zz + i z z) + 4} a ) zz + a + ) z z) + 4a = 0 4a a = 5 a = x i) i) : c Darumafactory
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補足情報
1 危 険 警 告 注 意 2 3 4 5 6 7 8 1 2 3 4 5 9 6 7 8 9 10 10 1 2 11 1 12 1 2 13 3 4 14 1 2 15 3 4 5 16 1 2 3 17 1 2 3 4 18 19 20 21 22 23 1 2 3 4 5 24 6 7 8 9 10 25 26 27 28 6 1 2 7 8 9 3 4 5 29 1 2 警 告 3 4 5
F = 0 F α, β F = t 2 + at + b (t α)(t β) = t 2 (α + β)t + αβ G : α + β = a, αβ = b F = 0 F (t) = 0 t α, β G t F = 0 α, β G. α β a b α β α β a b (α β)
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9 O y O ( O ) O (O ) 3 y O O v t = t = 0 ( ) O t = 0 t r = t P (, y, ) r = + y + (t,, y, ) (t) y = 0 () ( )O O t (t ) y = 0 () (t) y = (t ) y = 0 (3) O O v O O v O O O y y O O v P(, y,, t) t (, y,, t )
漸化式のすべてのパターンを解説しましたー高校数学の達人・河見賢司のサイト
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微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. ttp://www.morikita.co.jp/books/mid/00571 このサンプルページの内容は, 初版 1 刷発行時のものです. i ii 014 10 iii [note] 1 3 iv 4 5 3 6 4 x 0 sin x x 1 5 6 z = f(x, y) 1 y = f(x)
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