70

1999 4 f x = Msinω x + ϕ ω 0 [a b] f a = -M f b = M g x = Mcos ω x + ϕ [a b] [ ] A B C M D - M ωα + ϕ = kπ π ωb + ϕ = kπ + π k Z ωx + ϕ [ kπ π kπ]( k Z) g π (x) ωx + ϕ [ kπ kπ + ]( k Z) g x ωx + ϕ = kπ( k Z) g(x) M ( C) 1999 ( ) (9) 3x + y 3 = 0 x + y = 4 π π π π A B C D 6 4 3 [ ]

x A( 0) 3 π B AOB AOB 3 π = (C) 3 π π 1994 () f(x) = tgx x (0 ) x1 x (0 ) 1 x x [f(x ) + f(x )] f( x 1 + x 1 1 )

3 3 EF AB EF = EF AC ( 3) A 9 B5 C6 D 15 ab ( ab) ab 3 0

4 3 4 1999 (8) (x + 3) = α + α x + a x + α x + α x ( α + α + α ) - ( α + α ) 0 4 1 3 0 1 ( α + α + α + α + α )( α - α + α - α + α ) 0 1 3 4 0 1 3 4 x = 1 x = -1 3 4

ICI ICI Zn H O ICl + Zn = ZnCl + ZnI ICl + H O = HCl + HIO AZnCl BZnI CIClH O ICl H O DIClH O 3 XY (n = 1 )3 5 7 BrF n n

A BrF B BrF 3 5 C BrF H O 3 5 n D BrF H O 3 n H S CuSO H S 4 H S ANa SO 3 NO NO N H O x x NO x + NH3N + HO NO NO 3.0L 3.5LNH 3 N NO NO 6 (FeS ) (Cu S) FeSO H SO 4 4 A FeS B CuSO FeS 4 + C Cu FeS 14 5 D 1mol Cu S mol 7 (Na FeO ) 4 Na FeO [ ] 4 ANa FeO 4 B Na FeO Fe + 6 4 3+ CNa FeO Fe Fe(OH) 4 + D Na FeO Fe Fe(OH) 4 3

8 (H PO ) NaOH NaH PO NaH 3 PO KClO NaH PO 3 A (H 3PO ) BNaH PO 4 C AgNO 3 D Zn + O = ZnO A NaHCO B C Zn - e + OH = ZnO + H O D ph 10 4.48L SO CO H NaHSO 3 3 CO H 4.60g SO CO H 1 A 1 3 4 B 1 4 3 C 1 3 4 D 3 1 4 4 1 3 4 3 1 C H 8 8 KMnO Cl 4

13 KI CuSO 4 14 n mol FeBr Cl x mol 15 (NaBH 4) (1) NaBH 4 () NaBH 4 3+ (3)NaBH Au 4 CCl (3)CCl

Br C 3 c mol / L V ml 3 c mol / L V ml V = V NaOH 1 V V 10mL NaOH 1 + 13Cu - + 4I = CuI + I + 14 (1) Fe + Cl = Fe + Cl 3+ - + - 3+ ()Fe + 4Br + 3Cl = Fe + Br + 6Cl + - 3+ (3)Fe + Br + Cl = Fe + Br + 4Cl 15 (1)NaBH + H O = NaBO + 4H NaBH -1 4 4 1 - -

+ () NaBH [H ] + [H ] (3)3BH + 4Au 4-3+ - 4 - + 4OH = 4Au + 3BO +18H O (4)FeBr + 3Cl 3Br + Fe = FeBr = FeCl + Br 3 3 + + ()H O + NH = NH + H O 3 3 4 (3)8NH + 3Cl = N + 6NH Cl 3 4 H () C = O CH OH CH OH CH3COOH 0 (1) V = V m(naoh) = c V 40 1000 (g) 1 1

() V V NaOH CO 1 3 NaOH + HCl = NaCl + H ONa CO + HCl = NaCl + H O + CO NaOH + HCl = NaCl + H ONa CO + HCl = NaCl + NaHCO NaOH HCl V - (V - V ) = V - V NaOH 3 3 3 1 1 400 m ( NaOH) = c ( V V1 ) ( g) 1000

5 6 7 8 10 14 1 0.80 0.59 0.1 0.64 0.5 0.39 0.37 0.73 0.44 0.51

t a 4m / s

α = arctg(+ 3 ) α α = 0 α = π 3 α 0 α = arctg( ) α α 0 α = + arctg 3 α π )?

Λ Λ Λ Λ Λ α π = k k 0Λ Λ Λ Λ Λ α = k0 Λ Λ Λ Λ Λ α = π π α [0 ] arctgm (- ) k 0 k 0 arctg α 3x - αy -1 = 0( α R) arcctg 3 x0 3 x x 3 + x + x A x 0 x B x 0 x.5 C x 0 x 6 D x 0 x 3 6 6 6 (B) (D) (C) 3 x 3 + = x x + x 0 6.5 3 0

= [ ] 9 15 A B5 C6 D 1 ADEG 6

[ ] ( ) = - [- ] ( ) Af(x) = x + 3 Bf(x) = - 1 - x Cf(x) = 1 - x +1 D f(x) = 1 + x +1 f(-) = f() = - 5 = - 1 (A) (C) f(-) = - 1 f(0) = f() = - 1 (C) f(0) = - 1 (C)

AB( ) CDEFCD CF f(x) = x + 3 = 1 + (x +1)(- x -1) f(x) = -x - 1 = 1 - (x +1)(-1 x 0) f(x) = 1 - x +1 x [-0] x [--1] x + 4 [ 3] f(x + 4) = x + 4-5 = x + 3 x [-10] -x [0 1] -x + [ 3] f(-x + ) = -x + - 5 = -x - 1 x + 3 x [--1] f(x) = - x - 1 x (-10)( ) n 1 b ( b 1) {x n} f( x n ) = n( n = 1 ) ( ) x1 x x n

0 b = 1 y = x y [0 1] () y [1 ] y = 1 y = f(x) P (1 1) 1 b = b y -1= b(x -1) y [1 ] (3) y [ 3] y = y = 3 f(x) P (x ) b y - = b (x- x ) y [ 3] n n P (x n) b y - n = b (x - x ) y [n n +1] n n n 1 {x } n (1) {x } 1 f(x ) = 1 n 1 y = x x1 1 y = 1 () {x } f(x ) = n y 1 = b( x 1) 1 x 1 + y = b (n) {x } n f(x ) = n n n n 1 y ( n 1) = b ( x x n 1) y = n 1 n 1 xn xn 1 = ( ) b

x = 1 x = 1 + 1 x = x = +( 1 b b ) = 1 + 1 b + (1 b ) 1 3 x = 1 + 1 b + (1 b ) + + (1 b ) n-1 n x x = ( 1 b ) n-1 (n = 1 ) x = 0 n n-1 1 xn xn 1 = ( ) b x x n+1 n x x x 1 = ( ) b x 1 = ( ) b Λ Λ 1 0 1 1 0 n 1 n n f(x) = b x + n - b x x x x 0 n n n x 0 b 1 [0 x ] x x = Lim (b 1) 0 0 x n n 0 1 f(x) = 8 + x - x g(x) = f( - x ) g(x) [ ] y = log α [ - α(x - x)] ( 3) x α

A (0 1) 3 B (1 ) C (0 ) 3 D ( 1) 3 3 α 0 b 0 α + b = 1 ( 1-1) ( 1-1) α b 4 y = x + m x + y = 1 M N O A 4 4 B 5 5 4 C m D 5 A 3 B 3 3 6 C D 3 asin = ( 5-1) sin asin + ( 5-1) cos = cos x + cos y + sin z = x y 8 + = 1 c l ( α 0) (0 b) l α b 6 c e = 3 αx + α 9 f(logα x) = ( α R x 0) x + 1 ( ) g(n) = n (nn) y = f(x) f(n) g(n) n + 1

10 y = x +1 F l G F l x - y = 0 AB π 6 7 8 x α + α 9 ( )f(x) = x (x R) α = 1 + 1 103x - y + 8x + 4 = 0

A B C U = 15V U = 3VU = -3V D U = V C D A B 1V ABCD D C 1V U = -3V U = 9V( B C 6V A D 6V ) U D = 9V C D

0 6.4 10 m 6