fx-JP700_fx-JP900
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1 SA1412-A
2
3 2
4
5 QR fx-jp n / fx-jp fx-jp fx-jp
6 (RESET) ( ) () (OFF) : 10 : (SETUP)* 1 * 2 () *1: fx-jp700 *2: fx-jp900 : 5
7 (1) (2) : : n / / FIX SCI (D) (R) (G) 6
8 M / / (SETUP) fx-jp900 (1) (2) fx-jp900 : : () 7
9 n ( ) (n ) () () () ()* ( )* () ( / ) ( )* * fx-jp : : ; π* 1 (SETUP) ( / ): ( ) ; (/) * 2 ; () * 2 ; ( /) 8
10 *1 *2 1 S-V.P.A.M. / / / : / 1. (SETUP) 2. / ; /; ; / (D) ; (R); (G) (Fix): 0 9 9
11 : 100 7( )* ( (Fix) 3) (Sci): 0 9 : 1 7( )* ((Sci) 5) (Norm): (Norm) 1 : 10-2 > x, x (Norm) 2: 10-9 > x, x : 1 200( )* ((Norm) 1) ((Norm) 2) * ( ) (fx-jp900 ); : E (ab/c); (d/c) (a+bi) ; (r θ) / : (a+bi)i (r θ) ; (Freq) (fx-jp900 ) : ; : : : / ; / 10
12 f(x); f(x),g(x) f(x) 2 f(x) g(x) ; ; : (,) (;) 3 ; 3 English; QR (fx-jp900 )(QR) QR 3: 3 QR 11 : 11 QR ( ) (RESET) () () 4 sin 30 ( ) = 120 *1 sin *2 *3 11
13 10 - : : sin( log( x 2 x 3 x -1 x! r g %t m μ n p f k M G T P Efx-JP900 ) 4 5 (-)n (d h b o) 6 cm in x y x 1 x npr) ncr 9 10 R and) 13 or xor xnor) : x 2 (-)
14 ( / ) : ( ) ( ) : Σ ( / ): (UNDO) (UNDO) ( / ) :
15 1 7 6(INS) (INS) 7 6 ( / ) (INS) / / π π 6= 1 π = ( ) 6 1 (π) 6 π = = (/) / 10 ( ) 14
16 / = 13 6 ( ) () 2 3( ) ( ) (%) % = (%) (75%) (%) % (2625) (%) { } { } { } = (10 60 ) (:) : (:) : / / (:) 15
17 ENG ENG 1234 ENG ENG 1234 ( ) ( ) : (fx-jp900 ) 11 m μ n p f k M G T P E 500k 500() (k) 500k 999k () + 25k () = 1.024M () = 1024k () = () (k) 25() (k) 1.024M 1024k ( ) 1024k R 5 2 = 2 =1 5( R) 2 16
18 / / (FACT) (FACT) : 10 1,018, ( ) ( ) / / (SETUP) * 1 * 2 () () 17
19 *1: fx-jp700 *2: fx-jp900 1 ( ) ( ) 312 : 3.3 : (Norm/Fix/Sci) (Norm/Fix/Sci) 1 7 = = : Norm 1 : : = = (1 ) 4 18
20 : / = = 5 () 7 5 (Ans)/ (PreAns) Ans Ans PreAns Ans PreAns : PreAns PreAns Ans : () = = 210 () PreAns : T k+2 = T k+1 + T k ()T 1 T 4 T 1 = 1 T 2 = 1 T 1 = (Ans = T 1 = 1) T 2 = (Ans = T 2 = 1, PreAns = T 1 = 1) T 3 = T 2 + T 1 = (PreAns) (Ans = T 3 = 2, PreAns = T 2 = 1) 19
21 T 4 = T 3 + T 2 = A B C D E F M x y A 3 5(A) 8 A 10 () (A) 10 * 1 80 A () (RECALL)* 2 (A) 8 A 0(A) 0 *1 x (x) *2 (RECALL) A B C D E F M x y (Norm) 1 (M) M M M 0 M M 0(M) M () M () 10 5(M ) 15 M () (RECALL) (M) 35 : M M 20
22 (RESET) () () : π: π = e: e = sin, cos, tan, sin -1, cos -1, tan -1 : sin 30 = (: (D)) 30 2 sinh, cosh, tanh, sinh -1, cosh -1, tanh -1 : ( )* 1 *1, r, g : r g ()* 2 π/2 = 90 (: (D)) (π) 2 () ( r ) 90 *2, : e 5 2 = ( ) ( ) () ( ) log: log (a, b) a 10 log = log 1000 = log 2 16 = 4 2(,)
23 / /( ) log 2 16 = 4 ( ) ln: e ln 90 (= log e 90) = x 2, x 3,,,,, x -1 : (1 + 1) 2+2 = (5 2 ) 3 = (x 3 ) = 2 ( ) ( ) () 5( ) =3 2 = ( ) () : - Gauss-Kronrod f(x) f(x) (1) / (2) / * 1 * 2 * 3 * 4 (1) a bf x dx d dx f x x=a b x=a f x b x=a (2) f x, a, b, tol d dx f x, a, tol f x,a,b f x,a,b *1 tol *2 tol *3 a b < a b < *4 a b a < b < a b f(x) (R) tol tol f x 22
24 f(x) 0 1 eln x dx ( ) (x)1 (e) 1 () (x) (,) 1(,)(e) 1 y = sin(x) x = π/2 : (R) ( ) (x)(1) ( ) ((1)) (π) 2 0 () ((1)) (,)(π) x=1 x+1 = 20 ( ) ( )(x) () ( )(x) 1 (,) 1(,) x=1 x+1 = 720 ( ) ( )(x) () ( )(x) 1 (,) 1(,) Pol, Rec: Pol Rec r θ x y x y θ -180 < θ 180 2, 2 : (D) ( ) 23
25 (Pol) 2 (,) 2 r=2, θ=45 ( 2, 45 ) : (D) ( ) (Rec) 2 (,) 45 x=1, y=1 x!: (5 + 3)! = (x!) Abs: = 10 ( ) (Abs) () (Abs) Ran#: / (Ran#) 459 RanInt#: 1 6 (RanInt)1(,) 6 2 npr, ncr: (npr)(ncr) 10 4 : 10(nPr) : 10(nCr) Rnd: Rnd (Fix) 3 Rnd(10 3) = (Norm) 1 (Norm) 2 11 (Fix) 3 : Rnd(10 3) 3 (/) (SETUP) () ( (Fix)) (Rnd) GCD, LCM: GCDLCM)
26 (GCD) 28(,) (LCM) 9(,) Int: -3.5 (Int) Intg: -3.5 (Intg) QR fx-jp900 QR * *QR( ) QR QR : QR (QR) (wes.casio.com) QR : QR (QR) QR QR QR QR QR 3. QR 25
27 QR QR : QR QR QR QR QR QR 3 QR 11 QR QR 3 Web (wes.casio.com) QR : (QR) (a+bi)(r θ) (1 + i) 4 + (1 i) 2 = -4 2i : a+bi * 1(i)4 1(i) -4 2i 2 45 = 2+ 2i : (D): a+bi 2( ) i 2+ 2i = 2 45 : (D): r θ 2 2(i) 2 45 * (a+bi) n : n θ -180 < θ 180 / a bi r θ 2 + 3i Conjg : a+bi ( ) 2 3 (i) 2 3i 26
28 1 + i Abs Arg: (D) (Abs) 1(i) 2 () 1(i) i ReP ImP () 2 3 (i) 2 () 2 3 (i) i = 2 45, 2 45 = 2+ 2i : (D) 2 2(i) ( r θ) ( ) 45 ( a+bi) 2+ 2i 2x + 3y 2Ax + 3By + C A + Bi x + y : x (x + y) y = x 2 + x + 3 : 3A + B : A = 5, B = 10 3(A) (B) 5 10 : y = x + 5 x = sin(m) xy + C (xy + C = 0 ) 27
29 sin log (SOLVE) x 2 +b=0 b =-2x (x)(b)(=) 0 (SOLVE) x 1 : 1 B -2 : 2 (x x ): : (1) (2) (3) () () () () 0 : [=] x 1 : y =sinx y =e x, y = x 28
30 1. 2. : : 1 (x) (1 ) 2 (x, y)1 (y=a+bx) 2 (x, y)2 (y=a+bx+cx 2 ) 2 (x, y) (y=a+b ln(x)) 2 (x, y)e (y=a e^(bx)) 2 (x, y)ab (y=a b^x) 2 (x, y) (y=a x^b) 2 (x, y) (y=a+b/x) : () 1 (x) 1 (x, Freq) 2 (x, y) 2 (x, y, Freq) (Freq) / 1 () 2 () 1: (170, 66), (173, 68), (179, 75) () (y=a+b ln(x)) 29
31 : : 1 : () () : ( ) () : (1 2 ) : (1 2 ) 2 : () : () σ x Σx 2 1 (*) : Σx*, Σx 2 *, Σy, Σy 2, Σxy, Σx 3, Σx 2 y, Σx 4 () : n* / : x*, y / : σ 2 x*, σ 2 y / : σ x *, σ y / : s 2 x*, s 2 y / : s x *, s y (// ), : (σ x ) (s x ) 30
32 x = (x ) 2 n Sx = (x ) 2 n 1 : min(x)*, min(y) / : max(x)*, max(y) 1 : ( / ), 2 : ( / ) 1 : Q 1 * / : Med* / 3 : Q 3 * (1 ) ( / ) : a, b / : r / : x, y () 2 : a, b, c / : x 1, x 2, y () x x 1 x 2 y : ab y = a b^x lny lnb. x n a = exp( n ). xlny x. lny b = exp( ) n. x 2 ( x) 2 lny lna r = n. xlny x. lny = = ab x {n. x 2 ( x) 2 }{n. (lny) 2 ( lny) 2 } lnb 2: 1 x = {1, 2, 2, 3, 3, 3, 4, 4, 5} {x n ; freq n } = {1;1, 2;2, 3;3, 4;2, 5;1} (SETUP)* 1 * 2 () () *1: fx-jp700 *2: fx-jp900 () (1 ) (// ) (x ) 3 3: (x, y) = (20, 3150), (110, 7310), (200, 8800), (290, 9310) 2 3 (SETUP)* 1 * 2 () ( ) *1: fx-jp700 *2: fx-jp900 (SETUP) () ( (Fix)) () (y=a+b ln(x)) () (r) () (a)
33 () (b) x y y x 2 x 1 x 2 4: 3 x = 160 y () (y) : 1 () P, Q, R: t t: (x ) (σ x ) x x t = x x σ x 5: 2 1 x = 2 P(t) 2 () ( t) () (P() n n n : 10 : (DEC) 16 : (HEX) 2 : (BIN) 8 : (OCT)
34 (BIN) (A)(B)(C)(D)(E)(F) n : : : : x x x x x : : x 7FFFFFFF x FFFFFFFF d (10 ) h (16 ) b (2 ) o (8 ) (DEC) (d) 10(h) 10 (b) 10(o) : (DEC)(HEX)(BIN)(OCT) (DEC) (HEX) B (and or xor xnor Not Neg) 2 ( (BIN)) 33
35 ( and ) (and) (Not( )) (Not) : n 10 / / 1. / 2. : : ( ) ( ) 3. 2x 2 + x 3 = 0 2 ( ) : : ( ) ( ) 0 34
36 / x + 2y = 3, 2x + 3y = 4 ( ) (x=) -1 (y=) 2 x 2 + 2x 2 = 0 ( ) 1 22 (x 1 =) (x 2 =) -1 3 (y = x 2 + 2x 2 x *) (y = x 2 + 2x 2 y *) (x=) -1 (y=) -3 * y = ax 2 + bx + c x y MatA MatB MatC MatD : (MatA) (2 ) (2 ) MatA MatA : : ( ) (MatB) (2 ) (2 ) 5. MatB : MatA MatB: (MatA) (MatB) MatAns 35
37 MatAns MatAns MatAns MatAns : (MatAns) MatAns : (x 3 ) 1. ( ) ( ) MatAns 1. MatAns MatAns : (MatAns) 2. : (MatA) (MatB)(MatC)(MatD) MatA = MatB = MatC = MatA (Det(MatA)) ( ) MatA MatA (Identity(2) + MatA) 36
38 () MatA : 1 4 MatB (Trn(MatB)) () MatB MatA (MatA -1 MatA 2 MatA 3 ) : -1 (x 3 ) MatA MatA MatA (x 3 ) MatB (Abs(MatB)) (Abs) MatB MatC (Ref(MatC)) () MatC MatC (Rref(MatC)) () MatC 1 2 : f x =x g x =x2 1-1 x (SETUP)* 1 * 2 () (f(x),g(x)) *1: fx-jp700 *2: fx-jp x (x)1 2 37
39 4. x (x) : 1 : 5 : x x f(x) g(x) x 1 x 1 1 x f(x) g(x) 4 g(x) 5 f(x) f(x) 45 f(x),g(x) 30 x : / VctA VctB VctC VctD : (1, 2) + (3, 4) 1. 38
40 2. (VctA) (2 ) VctA 2 3. VctA : : ( ) (VctB) (2 ) 5. VctB : VctA + VctB: (VctA) (VctB) VctAns VctAns VctAns VctAns VctAns : (VctAns) VctAns : 1. ( ) ( ) VctAns 1. VctAns VctAns : (VctAns) 2. : (VctA) (VctB)(VctC)(VctD) 39
41 VctA = (1, 2) VctB = (3, 4) VctC = (2, -1, 2) VctA VctB ( ) VctA () VctB VctA VctB ( ) VctA VctB VctC (Abs(VctC)) (Abs) VctC VctA VctB ( (Fix) 3) (: (D)) (Angle(VctA,VctB)) (SETUP) () ( (Fix)) () VctA (,) VctB VctB (UnitV(VctB)) () VctB fx-jp x 2 + 2x 3 < 0 (a = 1 b = 2 c = -3):
42 : ( ) 0 3x 3 + 3x 2 x > 0 ( ) ( ) (ax 3 +bx 2 +cx+d>0) 3 31 / x 2 0 x 2 < 0 fx-jp : :
43 3. (x) x ( )1 ( 1 ) () x Ans 6 () : x σ μ : σ μ : P σ μ (Tail Left ) : x N p : x λ x: σ: (σ > 0) μ λ: P : (0 P 1) N: p: (0 p 1) 45 (1) (2) (3) x (4) P : 42
44 : : () () : () ( ) x = 36 σ = 2 μ = () ( ) 2. x σ μ (p=) : N = 15 p = 0.6 {10, 11, 12, 13} 1. () ( ) 2. (x) 4 ( ) 3. x N p x P 43
45 6 x 2 x x N p P ERROR fx-jp (A1 E45 ) (1) (1 45) (2) (A E) (3) : (4) : : : (=) 7+3 sin30 A1 2 : =A1 2(=) :
46 : () 1: A1 A A2+7 B1 =A A (A)7 3. B1 (=)(A)7 : 1. ( ) A1 2: 1 B2 =A B2 2. (=)( )
47 : =A1+7 (A1) B1 =A1+7 C3 & C3 =B3+7 & 1 (B C)2 (1 3) A1 B3 & ( ) ERROR : & ( ) 3 ( A1) (A 1) ( A 1) ( ) ( ) & 1. (& ) 2. : & & 1. ( & ) 2. : & 46
48 () (A, B, C, D, E, F, M, x, y) (RECALL) Min( Max( Mean( Sum( Min( ) Max( ) Mean( ) Sum( ) 3: 1 A4 A1 A3 =Sum(A1:A3) 1. A4 2. =Sum(A1:A3) (=) () (A) (:)(A) 3. : 47
49 4: 1 B1 B2 B B1 2. () 3. =2A1 3: 2(A)3 (=) 4. B1:B3 5. B1=2A1 3B2 =2A2 3 B3 =2A3 3 5: 4 C1 C2 C C1 2. ( ) 3. B1 3: (B)3 4.C1:C3 5. C1 C2 C3 1 ( ) 48
50 47 : c 0 1. () 2. () 3. (c 0 ) CODATA (2010) : 5 (cm)(in) () 1. 5() 2. () 3. (m ) (cm in) NIST Special Publication 811 (2008) 26 cal 15 C 49
51 118 n : Sc21 1. ( ) 2. ( ) (1) (2) (3) (4) * 3. AtWt * 1. ( ) ( ) AtWt 2. : 2013 IUPAC International Union of Pure and Applied Chemistry : 50
52 0 2 ( ) ()
53 () A1:A1A1 E45 tol () A1 =A1 () 1,700 A1 A2 A2 A3 1,700 52
54 : (RESET) () () : 1. (OFF) 2. (+) ( ) : (RESET) ( ) () ± ±
55 x < sinx cosx 0 x < x < tanx sinx x = (2n 1) 90 sinx x = (2n 1) π/2 sinx x = (2n 1) 100 sin -1 x, cos -1 x 0 x 1 tan -1 x 0 x sinhx, coshx 0 x sinh -1 x 0 x cosh -1 x 1 x tanhx 0 x tanh -1 x 0 x logx, lnx 0 < x x x e x x x 0 x < x 2 x <
56 x -1 x < ; x 0 3 x x < x! 0 x 69 (x ) npr ncr Pol(x, y) Rec(r, θ) x y 0 n < , 0 r n (n, r ) 1 {n!/(n r)!} < n < , 0 r n (n, r ) 1 n!/r! < n!/(n r)! < x, y x 2 +y r θ: sinx a, b, c < ; 0 b, c 2 1 x < x x > 0: < ylogx < 100 x = 0: y > 0 x < 0: y = n, m 2n + 1 (m, n ) < ylog x < 100 x y y > 0: x 0, < 1/x logy < 100 y = 0: x > 0 y < 0: x = 2n+1, 2n + 1 m (m 0; m, n ) < 1/x log y < 100 a b / c 10 RanInt#(a, b) a < b; a, b < ; b a < GCD(a, b) LCM(a, b) a, b < (a, b ) 0 a, b < (a, b ) 55
57 x y x y x! npr ncr 1 / π x < 10 6 π π : LR44 1 : : 0 C 40 C : mm : 90 g / / 1 : : 2 : : FIX SCI : (SETUP) () ( (Norm) ) () 56
58 (RESET) () ( ) : (sin 30) + 15 (: (D)) S-V.P.A.M. : : () sin
59 () () : h : : c 0 : ε0 : μ0 : Z 0 : G : l P : t P ( ) : μn : μb : e : φ0 : G 0 : K J ( ) : R K : m p : m n : m e : m μ : a 0 : α : r e : λc : γp : λcp : λcn : R : μp : μe : μn : μμ : m τ () : u : F : N A : k : V m : R : c 1 : c 2 : σ ( ) : g : atm : R K-90 : K J-90 ( ) : t h c 0 ε 0 μ 0 Z 0 G l P t P μ N μ B e φ 0 G 0 K J R K m p m n m e m μ μ a 0 α r e λ C γ p λ Cp λ Cn R μ p μ e μ n μ μ μ m τ u F N A k V m R c 1 c 2 σ- g atm R K-90 K J-90 t
60 () () ( ) (m) : cm in : m ft : m yd : km mile : m n mile : km pc : m Å : m fm : m ch : m ua : m l.y. : m mil : m fath : m : cm : mm : m : m : km : km : m : mm : mm (in) : in cm : in ft : in yd : in ch : in mil : in fath (ft) : ft m : ft in : ft yd : ft mile : ft n mile : ft ch : ft fath (yd) : yd m : yd in : yd ft : yd mile : yd ch : yd fath () ( ) (mile) : mile km : mile ft : mile yd : mile ch (ch) : ch m : ch in : ch ft : ch yd : ch mile (fath) : fath m : fath in : fath ft : fath yd (n mile ) : n mile m : n mile ft () ( ) (mil) : mil m : mil in ( ) : m : : : : : ( ) : m : : : ( ) : m : : :
61 () ( ) ( ) ( ) () ( ) () ( ) : km : : : cm : : km : : m : ( ) : pc km : Å m : fm m : ua m : l.y. m : mm : mm : mm () ( ) (acre) : acre m 2 : acre mile 2 (m 2 ) : m 2 acre : m 2 b : m 2 a : m 2 ha : cm 2 ft 2 : cm 2 in 2 : km 2 mile 2 : m 2 : m 2 : m 2 : m 2 : m 2 : m 2 : m 2 (a) : a m 2 : a ha (ha) : ha m 2 : ha a () ( ) (mile 2 ) : mile 2 km 2 : mile 2 acre ( ) : m 2 : ( ) : m 2 : : ( ) : m 2 () ( ) : : ( ) : m 2 : ( ) : b m 2 : ft 2 cm 2 : in 2 cm 2 : m 2 : m 2 () ( ) : m 2 (gal(uk) : gal(uk) L ) : gal(uk) bu (L) : L gal(us) : L gal(uk) : L m 3 : L bu : L bbl : ml fl oz(us) : ml fl oz(uk) : L : L : L : L : L
62 (m 3 ) : m 3 L : m 3 ton : m 3 ft 3 : m 3 in 3 : cm 3 (bu) : bu L : bu gal(uk) () ( ) ( ) : L : : ( ) : cm 3 ( ) ( ) () ( ) : L : : : L : : : L : ( ) : L : ( ) : gal(us) L : bbl L : ton m 3 : fl oz(us) ml : fl oz(uk) ml : ft 3 m 3 : in 3 m 3 ( ) : r rad : rad r () ( ) (oz) : oz g : oz lb : oz ton(long) : oz ton(short) (g) : g oz : kg lb : kg mton : kg ton(long) : kg ton(short) : mg mcarat : kg : g : g : g : g : g (lb) : lb kg : lb oz : lb ton(long) : lb ton(short) (ton(long) ) () ( ) (ton(short) ) ( ) : ton(long) kg : ton(long) oz : ton(long) lb : ton(short) kg : ton(short) oz : ton(short) lb : kg : :
63 ( ) ( ) : g : : : g : : () ( ) ( ) : mton kg : mcarat mg : g : g : g () (s) ( ) () (m/s) ( ) ( ) : Gal m/s 2 : m/s 2 Gal : s t-yr : s min : s h : s day : t-yr s : min s : h s : day s : m/s km/h : m/s mile/h : m/s knot : km/h m/s : mile/h m/s : knot m/s ( ) : N m dyn cm : dyn cm N m ( ) (N) ( ) () : N dyn : N lbf : N kgf : dyn N : lbf N : kgf N (Pa) : Pa atm : Pa mmhg : Pa kgf/cm 2 : kpa lbf/in 2 : Pa bar : Pa dyn/cm 2 : Pa lbf/in 2 : Pa cmh 2 O : Pa inhg ( ) : atm Pa : mmhg Pa : kgf/cm 2 Pa : lbf/in 2 kpa : bar Pa : dyn/cm 2 Pa : lbf/in 2 Pa : cmh 2 O Pa : inhg Pa
64 ( ) (J) : J kgf m : J cal : J erg : J ev : J Btu : J cal IT : J cal th : J W h ( ) : kgf m J : cal J : erg J : ev J : Btu J : cal IT J : cal th J : W h J ( ) : hp kw : kw hp () : Btu/h W : W Btu/h () : FC : CF () : cal th /(g K) J/(kg K) : J/(kg K) cal th /(g K) () : P Pa s : Pa s P ( ) : St m 2 /s : m 2 /s St () : G T : T G : Oe A/m : A/m Oe : Mx Wb : Wb Mx : γ T : T γ ( ) : sb cd/m 2 : cd/m 2 sb : ph lx : lx ph ( ) : Ci Bq : Bq Ci : rad Gy : Gy rad : rem Sv : Sv rem : R C/kg : C/kg R
65 /: : (D) 1 I AB c B AC bbc a sin= b c cos= a c tan= b a sin= b c b = c sincos= a c a = c cos 10m (c) B 60 ( θ ) a A b C b = 10 sin 60 : a = 10 cos 60 : bbac b tan b sin abb c a tana cos 10, 60 : (Rec) 10 (,) 60 y 0 10m 60 x P(x,y) 2 II 2 a b B A 1 tan= b a = tan 1 ( b a ) B θ c 8m (a) 5m (b) C = tan 1 (5 8): (tan 1 ) : ac cos 1 ( a c )bc sin 1 ( b c ) B
66 5m r P(8,5) 0 θ 8m 8, 5 r, : (Pol) 8(,) 5 y 60 : (RECALL) (y) 3 CDA X A sin C X = sin (180 C D) A (50m) X C (61 32 ) (49 25 )D C D C D (C) (D) 50 (C) 180 (C) (D) 4 abc S S = s (s a)(s b)(s c) 1 s = (a + b + c) 2 s A (A) S (A) (A) 50 (A) 40(A) 30 c (30m) S a (50m) b (40m)
67 5 20W 60N 0.3 P P = W (sin+ μ cos ) θ (20 ) P W (60N) 6 V 0 30m/s50 3h h = V 0 t sin 1 2 gt2 g: 9.8m/s θ (50 ) V0(30m/s) h
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di-problem.dvi
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4 4 ) a + b = i + 6 b c = 6i j ) a = 0 b = c = 0 ) â = i + j 0 ˆb = 4) a b = b c = j + ) cos α = cos β = 6) a ˆb = b ĉ = 0 7) a b = 6i j b c = i + 6j + 8) a b a b = 6i j 4 b c b c 9) a b = 4 a b) c = 7
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(2016 2Q H) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = a c b d (a c, b d) P = (a, b) O P a p = b P = (a, b) p = a b R 2 { } R 2 x = x, y R y 2 a p =, c q = b d p + a + c q = b + d q p P q a p = c R c b
名古屋工業大の数学 2000 年 ~2015 年 大学入試数学動画解説サイト
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θ i ) AB θ ) A = B = sin θ = sin θ A B sin θ) ) < = θ < = Ax Bx = θ = sin θ ) abc θ sin 5θ = sin θ fsin θ) fx) = ax bx c ) cos 5 i sin 5 ) 5 ) αβ α iβ) 5 α 4 β α β β 5 ) a = b = c = ) fx) = 0 x x = x =
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II A A441 : October 02, 2014 Version : Kawahira, Tomoki TA (Kondo, Hirotaka )
II 214-1 : October 2, 214 Version : 1.1 Kawahira, Tomoki TA (Kondo, Hirotaka ) http://www.math.nagoya-u.ac.jp/~kawahira/courses/14w-biseki.html pdf 1 2 1 9 1 16 1 23 1 3 11 6 11 13 11 2 11 27 12 4 12 11
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(2018 2Q C) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = ( ) a c b d (a c, b d) P = (a, b) O P ( ) a p = b P = (a, b) p = ( ) a b R 2 {( ) } R 2 x = x, y
![(2018 2Q C) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = ( ) a c b d (a c, b d) P = (a, b) O P ( ) a p = b P = (a, b) p = ( ) a b R 2 {( ) } R 2 x = x, y](/thumbs/101/151465237.jpg "(2018 2Q C) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = ( ) a c b d (a c, b d) P = (a, b) O P ( ) a p = b P = (a, b) p = ( ) a b R 2 {( ) } R 2 x = x, y")
(2018 2Q C) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = a c b d (a c, b d) P = (a, b) O P a p = b P = (a, b) p = a b R 2 { } R 2 x = x, y R y 2 a p =, c q = b d p + a + c q = b + d q p P q a p = c R c b
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4. 98 () θ a = 5(cm) θ c = 4(cm) b = (cm) () D 0cm 0 60 D 99 () 0m O O 7 sin 7 = 0.60 cos 7 = 0.799 tan 7 = 0.754 () xkm km R km 00 () θ cos θ = sin θ = () θ sin θ = 4 tan θ = () 0 < x < 90 tan x = 4 sin
I A A441 : April 15, 2013 Version : 1.1 I Kawahira, Tomoki TA (Shigehiro, Yoshida )
I013 00-1 : April 15, 013 Version : 1.1 I Kawahira, Tomoki TA (Shigehiro, Yoshida) http://www.math.nagoya-u.ac.jp/~kawahira/courses/13s-tenbou.html pdf * 4 15 4 5 13 e πi = 1 5 0 5 7 3 4 6 3 6 10 6 17
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No δs δs = r + δr r = δr (3) δs δs = r r = δr + u(r + δr, t) u(r, t) (4) δr = (δx, δy, δz) u i (r + δr, t) u i (r, t) = u i x j δx j (5) δs 2
No.2 1 2 2 δs δs = r + δr r = δr (3) δs δs = r r = δr + u(r + δr, t) u(r, t) (4) δr = (δx, δy, δz) u i (r + δr, t) u i (r, t) = u i δx j (5) δs 2 = δx i δx i + 2 u i δx i δx j = δs 2 + 2s ij δx i δx j
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8 300 mm 2.50 m/s L/s ( ) 1.13 kg/m MPa 240 C 5.00mm 120 kpa ( ) kg/s c p = 1.02kJ/kgK, R = 287J/kgK kPa, 17.0 C 118 C 870m 3 R = 287J
26 1 22 10 1 2 3 4 5 6 30.0 cm 1.59 kg 110kPa, 42.1 C, 18.0m/s 107kPa c p =1.02kJ/kgK 278J/kgK 30.0 C, 250kPa (c p = 1.02kJ/kgK, R = 287J/kgK) 18.0 C m/s 16.9 C 320kPa 270 m/s C c p = 1.02kJ/kgK, R = 292J/kgK
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