210 資料 TI 89 (1) TI 89 2nd ON HOME ( ) ( ) HOME =! ENTER ( ) = (10) ENTER ( ) [ ] { } ( )! 2 =! ( ) ( ) 2 3x ( 2y + yz) ( ) 3x ( ( ) 2y + y z)

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1 210 資料 TI 89 (1) TI 89 2nd ON HOME () () HOME =! ENTER () = (10) ENTER ( ) [ ] { } ( )! 2 =! ( ) () 2 3x ( 2y + yz) ( ) 3x ( ( ) 2y + y z) ENTER () 2nd 9 2nd 9) ENTER ( ) 2nd 7) ENTER 7 7 ) ENTER ENTER ENTER ESC () A Z alpha X, Y, Z, T alpha, CLEAR () CLEAR

2 数ナビ TI-89 の使い方 ( ) ( ) (3)(4) ENTER ENTER (1) (2) ( 8 2 2x + 3y 12) (3) x 2y (4) F2 F2 (3:expand) F2 3 expand( ENTER expand((a + 1) 3 )expand( ) a alpha = alpha ENTER F2 (2:factor) F2 2 factor( ENTER factor(x 2 4)factor(x 4 + 4)cfactor(x 4 + 4) c F2 1 (1:solve) F2 1 solve( ENTER solve(x 2 2x 2 = 0, x)solve(2ax + 3by = 1, y) ax, by a x, b y solve(x 2 4 = 0, x)solve(x = 0, x)csolve(x = 0, x) solvecsolve c F2 (comdenom) comdenom (denominator) (common) comdenom(1/x + 1/y) F2 (propfrac) propfrac (fraction) propfrac((2x 2 x 3)/(x + 2)) 2x 2 x 3 x + 2 i 2nd CATALOG i a + bi i alpha 9 i 2nd CATALOG (2 + 3i)(3 i)(2 + 3i)/(3 i)

3 212 資料 [] 2 (1) F2 3(expand) 1 (2x + 3)(4x 5) 2 (2x + 3) 3 (2) F2 2(factor) 1 a 4 b a 2 + a + 20 (3) F2 7(propFrac) 1 3x2 + 2x 4 2 x3 1 x 1 x + 2 (4) ( HOME ) 1 1 x 2 + x + 1 x 2 x x 1 1 x (5) ( HOME ) 1 ( )( ) (6) ( HOME ) 1 ( 3 + 2i)(4 3i) 2 1 3i 3 + 4i (7) F2 (solve) 1 x 2 3x 2 = 0 2 x 2 2x + 3 = 0

4 数ナビ TI-89 の使い方 F1, F2, F3 F1 (Y=) () F1 y1, y2,, ENTER () () ENTER y = y = x 2 + 2x y1 = x 2 + 2x ENTER ( ) X X ENTER, CLEAR F1 8 ENTER F3 (GRAPH) () F3 F1 (), F4 F2 4 (ZoomDec) 7.9 < = x < = 7, 9, 3.8 < = y < = 3.8 F2 4 F2 (WINDOW) () F2 xmin, xmax x ymin, ymax y xscl, yscl x y (scale) xmin<xmax, ymin<ymax, xscl> 0, yscl>0 xmin, ymin ( ) ESC F < = x < = 7, 9, 3.8 < = y < = 3.8 xres xres = 2 3 F1 y1 y = x 2 + 3x F3 (1) F3 ESC F3 1 ENTER 3 ENTER 1 ENTER 1 ( ) (2) F1 y1 y1 = x 2 + 3x 1 F3 (3) F2 3 < = x < = 5, 2 < = y < = 2 F3 ( ) (4) F3 (3 + 5)/2 ENTER ()

5 214 資料 TI 89 (2) F3 (Trace) F3, x ENTER x x < 0 ( ) Windows Variables Domain ESC F4 (Regraph) F2 1 (ZoomBox) F2 1 (ZoomBox) 2 1st Corner,,, ENTER 2nd 2nd Corner,,, ENTER x F5 2 (Zero) x x F5 2 ENTER Lower Bound ENTER 2nd Upper Bound ENTER Lower Upper Bound Zero x F5 3 (Minimum) F5 4 (Maximum) y F5 3 ENTER F5 4 ENTER Lower Bound ENTER Upper Bound ENTER () 2 F5 5 (Intersection) F st Curve ENTER 2 ENTER 2nd Curve 2 ENTER 2 ENTER

6 数ナビ TI-89 の使い方 215 Lower Bound ENTER Upper Bound? ENTER x y F4, F5 x, y F5 (Table) F3 F5 x y () 5 F4 x x F2 F4 (Tblset) F4 F5 x x F4 tblstart x tblx 2 ENTER 2 1 (1) y1 = x 1, y2 = x + 2 (2) 3 < = x < = 5, 2 < = y < = 3 (3) y2 (4) y2 = x + 2 (5) (4) x = 3 y x = 3 y (6) y1 y2 2 (7) x 2 y (8) x 1x 0.1 (9) y1 > y2 x x > y1 > y2 (10) (11) 2 (12) 2 x = y = (13) 2 [] (1) F1 F3 (2) F2 (3) F1 y1 F4 (4) F3 F3 (5) (4) 3 ENTER (6) F1 y1 F4 (7) F5 (8) F4 (9) F5 (10) F3 (11) F2 1 (12) F5 5(Intersection) HOME F2 (1:Solve) (13) x 1 = x + 2

7 216 資料 = F1 = F2 = = F4 y = F3 F3 x = F4 ENTER x = x, y = F5 2 F5 = = F1 F5 3 F4 = F5 4 = F2 1 = 2 = F5 5 2 F2 4 = F3, 1) ( ) ( ) 2) ( ) ( ) 1) F1 y1 = x 2 x 1 F1 y1 ENTER x 2 x 1 ENTER y2 y2 ENTER F3 F < = x < = < = y < = 3.8 x, y 1 F2 F2 4 xmin<xmaxymin<ymax F3 F3 x ENTER x x = 2 2 ENTER ZoomBox F2 1 1st Corner 1 ENTER 2nd Corner ENTER 2

8 数ナビ TI-89 の使い方 217 F1 F5 1 < x < 2 y = 0 F4 x tblstart tbl x 2 ENTER 2 1 x 0.1 ENTER 2 y = < x < 1.7 F4 x F3 F5 2(Zero) x Lower Bound ENTER Upper Bound ENTER x x 2 x 1 = 0 x = 1 ± 5 2 F3 x (1+ 5)/2 ENTER ENTER (1+ 5)/2 = HOME F2 1 (1:Solve) solve(x 2 x 1 = 0, x))solve(y1(x) = 0, x) () F3 F5 3(Minimum) y Lower Bound ENTER Upper Bound ENTER y HOME F1 x y1 = x 2 x 1 x 1000 y1(1000) y1(1000) ENTER

9 218 資料 TI 89 (3) f(x) HOME F4 ENTER Define f(x) = x 2 2x ENTER Define f(x) F4 ENTER f(x) f alpha Define Define f(x) = x 2 2x f(x) = x 2 2x f(3) ENTER, f(x 1) ENTER f(x) f(x) f(x) F1 F4 Define f(x) = ON STO x 2 2x STO f(x) ENTER x 2 2x f(x) () = F1 = F1 ENTER = F1 = F1 F1 8 ENTER = F2 = F3 = F2 4 2) f(x) = x 2 2x () f(x) HOME F4 ENTER Define f(x) = x 2 2x ENTER f alpha f(x) f(x) = x 2 2x f(x) f(3) ENTER f(4) ENTER f(x) x = 3 x = 4 f(a) f(x) x a f(3) = = 9 6 = 3 f(x 1) f(x) x x 1 f(x 1) ENTER f(x) x x 1 f(x 1) = (x 1) 2 2(x 1) = x 2 2x + 1 2x + 2 = x 2 4x + 3 = (x 1)(x 3) = ESC = F4 x, y = F5 = F1 F4 = F2 1 ENTER = F2 4 = F3, = F4 y = F3 x ENTER

10 数ナビ TI-89 の使い方 219 y = f(x) F1 y1 = f(x), y2 = f(x) + 1, y3 = f(x 2), y4 = f(x 2) + 1 F3 y1, y2, y3, y4 F4 F4 y = f(x) F5 y1, y2, y3, y4 x 1 1 F4 tbdstart= 0 tbl= 1 ENTER 2 F5 y1, y2, y3, y4 x = 0 1 y1, y2, y3, y4 () F1 y2, y3, y4 F4 y5 = f(x), y6 = f( x), y7 = f( x) F3 y1, y5, y6, y7 F4 y = f(x) F4 F5 y1, y5, y6, y7 y1, y5, y6, y7 HOME F4 ENTER f(x) F1 F4 F3

11 220 資料 TI 89 (4) HOME F2 F2 (3:expand) F2 3 expand( ENTER expand((a + 1) 3 )expand( ) a alpha = alpha ENTER 2x(3x 4) 2x (3x 4) F2 (2:factor) F2 2 factor( ENTER factor(x 2 4) factor(x 2 3)factor(x 2 3, x), x, x factor(x 2 + 4)cfactor(x 2 + 4)c cfactor(x 2 + 3)cfactor(x 2 + 3, x) F2 1 (1:solve) F2 1 solve( ENTER solve(x 2 2x 2 = 0, x) solve(2ax + 3by = 1, y)ax, by a x, b y solve(x 2 4 = 0, x)solve(x = 0, x)csolve(x = 0, x) solvecsolve c and (and ) {x,y}and alpha alpha ( ) 2x 3y = 1, 3x + 5y = 4 solve ( 2x 3y = 1 and 3x + 5y = 4, {x, y} ) 2nd F2 6 (comdenom) comdenom (denominator) (common) comdenom(1/x + 1/y) F2 7 (propfrac) propfrac (fraction) propfrac((2x 2 x 3)/(x + 2)) 2x 2 x 3 x + 2 log 10 log 10 x log(x) log CATALOG 4 CATALOG, 2 log(x)/ log(2) F4 ENTER Define log 2(x) = log(x)/ log(2) log 2(x) log 2(8) = 3

12 数ナビ TI-89 の使い方 221 HOME F2 ENTER 1:solve( 2:factor(3:expand(4:zeros(6:comDenom(7:propFrac( (3:expand) expand( ) (2:factor) factor( ), x)cfactor c (1:solve) F2 ENTER solve( ENTER (1:solve) false csolve false 1:solve and 2 (6:comDenom) F2 6 comdenom( ) ENTER () comdenom( ENTER (7:propFrac) F2 7 propfrac( ) ENTER B/A B A P R B = AP + Q B/A = P + Q/A propfrac (B:Extract) 1: getnum( (numerator)2: getdenom( (denominator) 3: left(4: right(

13 222 資料 y = f(x) F < = x < = 7.9, 3.8 < = y < = (1) (2) F1 99 (3) (2, 6, 7) (4) F3 F4 (5) (6(5)) (6) (4) 2. y1 = x 2 1 < x < 2 y1(x) = x 2 1 < x and x < 2 = and alpha and alpha ( ) < > 2nd 0, 2nd. 3. (1) y = 2 1 < x and x < 2x 1 < x < 2 0 x y = x 1 < x and x < 2 (2) x = 1 y y = (1, 0) y = 100(x 1) (3) (absolute function) y = x y = abs(x)abs alpha CATALOG (4) (a, b) r (a, b) r (x, y) (x a) 2 +(y b) 2 = r 2 y b = ± r 2 (x a) 2 y = ± r 2 (x a) 2 +b y = r 2 (x a) 2 +b 4. F1 2(Save Copy As ) TypeGDB Variablegm45 g TypePicture gm45p p F1 1(Open) Variable ENTER F1

14 数ナビ TI-89 の使い方 (Line) (Dot) (Thick) (Animate) (1) ( F1 ) (2), (3) F6 ( 2nd F1 ) (4) 1:Line (5), (Dot) 2Dot 3:Square (Thick) 4Thick 5Animate ENTER 7:Above8:Below (6) 2nd F1 (7) F3 (8) (1) F1 F2 F3 ( F1 9) (2) Coordinate RECT (rectangular coordinates) (3) Graph Order SIMUL (simultaneously) SEQ (in sequence) (4) Grid ON OFF (5) Axes OFF ON (6) Leading Cursor ON (7) Label ON x, y (1) 2nd F1 4:Thick (2) F1 8 (3) F4 F5 F5 1 F y1 = x y2 = 1/7 x +.7 x > 7.7 y3 = x + 1/5 sin(3 x) x > y4 = 2 2 (x + 4.8) y5 = (x + 4.9) < x and x < 4.4 y6 = x x < 3.5

15 224 資料 1: (1) MODE Graph2. Parametric y = f(x) t (2) F1 F3 F2 F5 F4 (3) F1 x = (t ), y = (t ) t (4) F2 tmin= 0, tmax= 2π, tstep= π/24, xmin= 3.2, xmax= 3.2, xscl= 1 ymin= 1.6, ymax= 1.6, yscl= 1 (5) Leading CursorON 2: x = cos t, y = sin t 1 t 1 F4 x x y y (1) 2 x, y x = y = (2) 1 x, y x = y = (3) 1 (0, 0) (1, 1) (0, 0) ( 1, 1) (0, 0) x, y x = y = (4) 2 y = 1 x 2 (1, 0) (0, 1) ( 1, 0) (0, 1) (1, 0) x, y x = y = (5) 3 (0, π) ( 1, π/2) (0, 0) (1, π/2) (0, π) x, y x = y = ( ) (6) (1, 0) 2 1 2, 0 x, y x = y = (1) x = cos 2t, y = sin 2t, (2) x = cos( t), y = sin( t), (3) x = sin t, y = sin t, (4) x = cos t, y = 1 cos 2 t, (5) x = sin t, y = t, (6) x = ((1 t/4π)) cos 2t, y = ((1 t/4π) sin 2t

16 数ナビ TI-89 の使い方 225 3: (1) y = f(x) x = t, y = f(t) y = e x x = t, y = e t (2) y = f(x) x, y x = f(y) x = f(t), y = t y = sin x x = sin(t), y = t (3) r = f(θ) x = r cos θ = f(θ) cos θ, y = r sin θ = f(θ) sin θ t x = f(t) cos t, y = f(t) sin t r = sin 2θ x = sin(2t) cos(t), y = sin(2t) sin(t) 4: 0 < = t < = 2π (1) ( F1 ) t x, y π/2 < t < π x, y π/2 < t and t < πand ( alpha ( ) ) t < 0 t > 2π (2) t π/2 < t < π t 0 2π x, y t π/2 π t 0 π/2 t 2π π x, y t t/4 + π/2 x = cos t, y = sin t π/2 < t < π x = cos(t/4 + π/2), y = sin(t/4 + π/2) (3) α < t < β t 0 αt 2π β x, y t β α 2π t + α 5: (1) x = t, y = a a t x 1 < x < 2 t 0 1 t 2π 2 x t 3 2π t 1 (2) x = a, y = t a t y 1 < x < 1/2 t 0 1 6: t 2π 1/2 y t 3 4π t 1 (1) y = log x e = () LN( 2nd X ) LOG 10 () 2 log 2 (x) log(x)/ log(2) ln(x)/ ln(2) (2) x x abs(x)abs alpha (3) When1 When When(,, )0 < t < π x = cos t, y = sin t π < t < 2π x = cos t, y = 1 cos 2 t x = cos(t), y = when(t < π, sin(t), 1 (cos(t)) 2 ) when 7: (1) F6

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