7 27 7.1........................................ 27 7.2.......................................... 28 1 ( a 3 = 3 = 3 a a > 0(a a a a < 0(a a a -1 1 6

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26 11 5 1 ( 2 2 2 3 5 3.1...................................... 5 3.2....................................... 5 3.3....................................... 6 3.4....................................... 7 3.5....................................... 9 3.6........................................ 9 3.7...................................... 10 3.8...................................... 11 4 13 4.1..................................... 14 4.2.............................. 15 4.3.......................................... 16 5 18 5.1.......................................... 18 5.2..................................... 18 5.3................................. 19 5.4.................................. 20 6 21 6.1................................ 21 6.2................................ 23 6.3.................................. 25 6.4....................................... 25 6.5........................................... 27 1

7 27 7.1........................................ 27 7.2.......................................... 28 1 ( a 3 = 3 = 3 a a > 0(a a a a < 0(a a a -1 1 6 = (( 1 6 : a 1 a a = (( 1 ( a 6 = (( 1 6 7 = (( 1 ( 7 2 a b = ((a (b (b 0 2 3 = 2 3 = 2 3 2 3 = 2 3

0 a b = a c b c (c 0 0.5 0.07 0.5 100 = 0.07 100 = 50 7 ˆ 0 ˆ ( ˆ 1 1 ( a b a b a b 1 a a b 1 b a b ˆ ˆ 0.6 7 = 6 70 0.15 0.0125 = 1500 125 1. 2. 0 1 3. 0 (x y = z y

42 2.58 42 2.58 = 42 2.58 = 4200 258 4200 258 4200 258 = 16 72 258 72 = 3 42 72 42 = 1 30 42 30 = 1 12 30 12 = 2 6 12 6 = 2 0 6 6 700 4200 258 43 = 700 43 10x + 12y 4 10x + 12y 4 = 10x 4 + 12y 4 = 10 4 x + 12 4 y = 5 10 4 2 x + 3 12 4 1 y = 5 2 x + 3y 10x + 12y 4 = ((10x + 12y 4 = (10x 4 + 12y 4 = ( 10x 4 + 12y 4 15x + 24y 6a 3b 6a 3b 3 ( 6 3 ( ( (2x + y(x + 2y = ( 1 (2x + y(x + 2y 15x + 24y 6a 3b = 15x + 24y 3(2a b

3(2a b 15x + 24y 3(2a b = 15x 3(2a b + 24y 3(2a b = 15 3(2a b x + 24 3(2a b y 15 3(2a b x 15 3 24 y 24 3 3(2a b 15 3(2a b x + 24 3(2a b y = 5 15 3 1 (2a b x + 8 24 3 1 (2a b y = 5 2a b x + 8 2a b y 3 (x y a α 3.1 + + : 9 3(1 + 2 (1 + 2 3 9 9 3(1 + 2 = 9 (3 (1 + 2 = 9 (3 3 = 9 9 = 1 : 3 2 ( 2 3 ( 2 3 2 2 3 3 2 ( 2 3 = (3 3 (( 2 ( 2 ( 2 = 9 ( 8 = 72 3.2 (

( 5 + 6 = 6 + 5 = 11 ( (1 + 2 + 3 = 1 + (2 + 3 = 1 + 2 + 3 = 6 4 5 + 3 5 = 8 5 2 a b = a c b c (c 0 1 3 + 3 4 12 1 3 + 3 4 = 1 4 3 4 + 3 3 4 3 = 4 12 + 9 12 = 13 12 12 12 3 4 : a b a b ( : 1 6 + 1 4 6 4 6 4 = 24 1 6 + 1 4 = 1 4 6 4 + 1 6 4 6 = 4 24 + 6 5 24 = 10 = 5 24 12 12 3.3 5 + 6 = 5 + = 11

11 5 = + 6 = 11 + 6 = 11 6 + = 11 11 6 = 3 + 5 3 = 3 + 5 + ( 3 = 3 + ( 3 + 5 = 5 7 5 + 3 = 7 + ( 5 + 3 = 7 + 3 + ( 5 = 10 + ( 5 = 5 6 5 = 1 5 6 = 1 6 5 = (5 6 3.4 2 3 2 3 = (2 + 2 + 2 ( 2 3 = 3 2 = 6 (2 + 2 + 2 = (3 + 3 = 6 1 2 3 3 2 1: 2 3 = 3 2

( (2 3 4 = 2 (3 4 = 2 3 4 = 24 2 2 3 4 3 4 2 2 3 5 4 = 2 5 3 4 = 5 10 12 6 = 5 6 ( 2 3 5 1 4 = 2 5 = 5 3 4 6 2 2: (2 3 4 = 2 (3 4 2 2 = 2 2 2 3 = 23 ( 2 3 5 = 23 ( 5 3 (1 + 2 3(1 + 2 9 3 (1 + 2 9 3(1 + 2 9 3 (1 + 2 9 3 (9 3 (1 + 2 9 3(1 + 2 9 3(1 + 2 9 3 (1 + 2 = 3 (1 + 2 = 3 3 = 9 9 3(1 + 2 = 9 (3 3 = 9 9 = 1 9 3 (1 + 2 (9 3(1 + 2

3.5 3 4 = 3 = 12 12 3 = 4 = 12 4 = 12 4 = 12 12 4 = 8 2 = 8 1 2 2 3 5 4 = 2 3 4 5 3.6 2 3 = (2 2 2 = ((2 + 2 2 = ((2 + 2 + (2 + 2 = 8 2 23 = 2 8 = 256 2 23 = 4 3 = 64 (: 2 3 2 4 = 2 3+4 = 2 7 = 128 2 3 2 4 = (2 2 2 (2 2 2 2 = 2 2 2 2 2 2 2 = 2 7

(: (2 2 3 = (2 3 2 = 2 2 3 = 2 6 = 64 (2 2 3 = (2 2 3 = ((2 2 (2 2 (2 2 = (2 2 2 2 2 2 = ((2 2 2 (2 2 2 } {{ } } {{ } 2 6 (2 3 2 3.7 3 2 = 3 = 9 2 = 9 log 3 9 = ± 2 9 = 2 ± 9 = 2 = 9 3 3 9 3 (= 2 10 = 10 1 2 2 2 4 2 2 4 = 22 = 2 4 = 4 1 2 = (2 2 1 2 = 2 2 1 2 = 2 1 = 2 2 2 720 = 24 3 2 5 = 2 2 2 3 2 5 = (2 2 2 3 2 5 = 2 2 3 5 = 12 5 = 12 5

2 108 2 54 3 27 3 9 3 108 = 2 2 3 3 3 = 2 2 3 3 5821200 2 5821200 2 2910600 2 1455300 2 727650 3 363825 3 121275 3 40425 5 13475 5 2695 7 539 7 77 11 5821200 = 2 4 3 3 5 2 7 2 11 3.8 (1 + 2 ((1 + 2 = (1 + 2

( 1 + (2 + 3 + 4 = 1 + 2 + 3 + 4 1 + (2 + 3 4 = 1 + 2 + 3 4 1 + (2 + 3 4 = 1 + (2 + 3 + ( 4 = 1 + 2 + 3 + ( 4 = 1 + 2 + 3 4 1 (2 + 3 + 4 = 1 + ( (2 + 3 + 4 ( 1 1 + ( (2 + 3 + 4 = 1 + (( 1 (2 + 3 + 4 1 + (( 1 (2 + 3 + 4 = 1 + (( 2 3 + 4 = 1 + ( 2 3 + 4 1 + ( 2 3 + 4 = 1 2 3 + 4 3 (1 + 2 1 2 3 (1 + 2 = (3 1 + 3 2 (1 + 2 3 = (1 3 + 2 3 = (3 1 + 3 2 3 (1 + 2 4 1 2 4 ( 3 (1 + 2 4 = (3 1 + 3 2 4

3 (1 + 23 (5 + 4 3 1 2 (5 + 4 3 3 (1 + 23 (5 + 4 = (3 1 + 3 23 (5 + 4 3 2 (5 + 4 3 (3 1 + 3 23 (5 + 4 = = = ( ( 2 3 1 + 3 3 5 + 2 3 4 ( 3 1 + (3 23 5 + 3 23 4 (3 1 + 3 23 5 + 3 23 4 (5 + 4 (1 + 2 3 = (1 + 2 1 ( 3 = 1 1 3 + 2 1 3 ( (5 + 4 2 = (5 2 + 2 5 4 + 4 2 ( 3 (5 + 4 2 = 3 (5 2 + 2 5 4 + 4 2 = (3 5 2 + 3 2 5 4 + 3 4 2 4 (x a 6 a x a + b + 7 x (x + 1 6 a x a + b + 7 x (x + 1

( 6 a x a + b + 7 x (x + 1 6 a x 6ax 4.1 7x 2x 7xy 2x 2 y (7xy x 2x 2 y x 4ab ba ( 2a + 5a = 7a 2a + 5a = (2 a + (5 a = (a 2 + (a 5 = (a + a + (a + a + a + a + a = a + a + a + a + a + a + a = a 7 = 7a a 2 + ab + b 2 a b 1 7ab 8bc = 56ab 2 c a 2 bc abc = a

a 2 bc abc = ab 2 c 2 a 2 bc abc = (a a b c (a b c = 1 (a a b c a b c = a 1 a 1 b 1 c a 1 b 1 c 1 = a 4.2 : 1 2a(b + 3(2a 5 1 2a(b + 3(2a 5 = 1 ((2a b + (2a 3(2a 5 = 1 (2ab + 2a 3(2a 5 = 1 + (( 1 (2ab + 2a 3(2a 5 = 1 + ( 2ab 2a 3(2a 5 = 1 2ab 2a 3(2a 5 = 1 2ab 2a (6a 15 = 1 2ab (12a 2 30a = 1 2ab + ( 12a 2 + 30a = 1 2ab 12a 2 + 30a x + 1 (x + 1 (x + 1(y + z = (((x + 1 y + ((x + 1 z : (x + y(z + a(b + c (x + y(z + a(b + c = (x + y(z + ab + ac = (((x + y z + ((x + y ab + ((x + y ac = ((xz + yz + (xab + yab + (xac + yac = xz + yz + xab + yab + xac + yac

(x + a(x + b (x + a(x + b = (((x + a x + ((x + a b = ((x 2 + ax + (bx + ab = x 2 + ax + bx + ab x 2 + ax + bx + ab = x 2 + (a + bx + ab (x + a(x + b a b (x + a(x + b (x + a(x + b = x 2 + (a + bx + ab (x + a 2 (x + a 2 = (x + a(x + a a = b (x + a 2 = x 2 + 2ax + a 2 4.3 : x 4 + 10x 3 + 35x 2 + 50x + 24 ( 0 x x = 1 x = 1 x = 1 0 x 4 + 10x 3 + 35x 2 + 50x + 24 = ( 1 4 + (10 ( 1 3 + (35 ( 1 2 + (50 ( 1 + 24 = 1 10 + 35 50 + 24 = 0 x = 1 0 (x + 1( x x 4 1

x 3 1 x 4 1 x 4 + 10x 3 + 35x 2 + 50x + 24 = (x + 1(x 3 + (x + 1(x 3 + (x + 1(x 3 + = x 4 + x 3 + x 3 10 9x 3 9x 2 ((x + 1 x x 4 + 10x 3 + 35x 2 + 50x + 24 = (x + 1(x 3 + 9x 2 + (x + 1(x 3 + 9x 2 + (x + 1(x 3 + 9x 2 + = x 4 + 10x 3 + 9x 2 + x 2 35 26x 2 26x x 4 + 10x 3 + 35x 2 + 50x + 24 = (x + 1(x 3 + 9x 2 + 26x + (x + 1(x 3 + 9x 2 + 26x + (x + 1(x 3 + 9x 2 + 26x + = x 4 + 10x 3 + 35x 2 + 26x + x 50 24x 24 x 4 + 10x 3 + 35x 2 + 50x + 24 = (x + 1(x 3 + 9x 2 + 26x + 24 + (x + 1(x 3 + 9x 2 + 26x + 24 + (x + 1(x 3 + 9x 2 + 26x + 24 + = x 4 + 10x 3 + 35x 2 + 50x + 24 + x 4 + 10x 3 + 35x 2 + 50x + 24 = (x + 1(x 3 + 9x 2 + 26x + 24 (x 3 + 9x 2 + 26x + 24 x = 2 x 3 + 9x + 26x + 24 = ( 2 3 + (9 ( 2 2 + (26 ( 2 + 24 = 8 + 36 52 + 24 = 0 (x + 2( (x + 1(x 3 + 9x 2 + 26x + 24 = (x + 1(x + 2(x 2 + 7x + 12 x 4 + 10x 3 + 35x 2 + 50x + 24 = (x + 1(x + 2(x + 3(x + 4

5 ( = ( 5.1 ( = ( 1 + 2 = 3 2(a + b = 2a + 2b y = 4x + 9 5.2 3(x + 2 = 1 + 8 3x + 6 = 9 3(x + 2 = 3x + 6 1 + 8 = 9 A = A B = B A = B A = B 3(x + 2 = 3x + 6 1 + 8 = 9 3(x + 2 = 1 + 8 3x + 6 = 9 x 1 = 5 (x 1 + 1 = (5 + 1 x = 6 A = B A + C = B + C A B A = B (A + C = (B + C

( 0 0 2x + 2 = 6 (2x + 2 1 2 = (6 1 2 x + 1 = 3 A = B (A C = (B C x + 1 = 8 (x + 1 4 = (8 4 A = B (A C = (B C 5.3 : 2a(b + 5(3a + b = 2a(b + 5(3a + b = 2a(b + (15a + 5b = 2a(b + 15a + 5b = 2a(15a + 6b = 30a 2 + 12ab ( = ( 2 = 2 1 1 = 1

2 = 2 1 = 1 1 = 2 1 = 2 2 = 2 = 2 1 = 2 1 = 1 = 1 2 = 2 1 = 1 ( = 2 = 2 2 1 = 2 1 1 = 1 : 2 = 2 2 1 = 2 1 1 = 1 3(x + 2 = 15 3(x + 2 = 15 3x + 6 = 15 (3x + 6 6 = (15 6 3x = 9 (3x 1 3 = (9 1 3 x = 3 5.4 x 1 = 5 (x 1 + 1 = (5 + 1 x = 6 x = (5 + 1 x 1 = 5 x = (5 + 1 1 +1 1 +1 x 1 = 5 (x 1+1 = (5+1 x = (5+1 x = 6

x 1 = 5 x = (5+1 1 +1 6 6.1 1 180 3 DBC ABC BAC + CBA + ABC = 180 AD CBA + CBD = 180 BAC + CBA + ABC = 180 = CBA + CBD BAC + CBA + ABC = CBA + CBD a C c b a + c A B D 3: CBA BAC + ABC = CBD ( ( 1 2 1

( 1. ( 4 2. ( 5 3. ( 6 5. ( 7 6. ( 8 1. 2. ( 3. C F C F C F A B D E A B D E A B D E 4: 5: 6:

C F C F A B D E 7: A B D E 8: 1. 60 2. 60 3. 60 60 6.2 (( + ( ( 1 2 ( ( 1. 2. 3. ˆ ˆ 4. 1. 2. 3.

( ( 2 1 ( 1 ( 2 1 2 2 1. 2. 3. ( ( 90 ( ( 1. 2. ˆ ˆ ( ( ( 2 1. 2. ˆ ˆ 3.

6.3 π 3.14 ( π 2 ( 2 π ( 2 π ( 360 ( 360 ( 2 π ( 360 6.4 9 10 C F E A O D B 9: C F O E A D B 10:

11 12 F O C E A D B 11: C F E O A D B 12: 13 O B C O A A B O C 13:

6.5 ( ( ( ( 1 3 ( 7 7.1 1 ˆ 3l 6l 2 ˆ 4m 2 1m 2 1 4 ˆ 2 5 5 2 %( ( 1 = 100% = 1000 ˆ 1 ˆ 100 ˆ 1000

7.2 ˆ 3l 6l 2 ˆ 4m 2 1m 2 1 4 ˆ 2 5 5 2 2 2 1 ˆ 3l 6l 2 3 : 6 ˆ 4m 2 1m 2 1 4 4 : 1 ˆ 2 5 5 2 2 : 5 3 : 4 3 4 4 3 3 : 6 3 : 6 3 6 6 3 6 3 3 2 1 = 2 3 6 2 2 1 2 2 1 : 2 3 : 6 = 1 : 2 2 : 5 2 : 5 = 4 : 10 = 6 : 15 = 8 : 20 =... 2 : 5 1 : 5 2 = 3 2 : 15 4 = 2 : 5 = 5 2 : 25 4 = 3 : 15 2 =...

2 : 5 = 4 :2 : 5 = : 10 y = 5 2 x 5 2 : 5 x y 2 2 2 : 5 = 4 : x = 4 ( 5 y = 2 4 y = 10 2 : 5 = : 10 y = 10 10 = 5 2 x x = 4 5 a 2 y y = 2x O x (0, 0 y = 2x x = 1 y y = 2 (1, 2 (0, 0 (1, 2 y = 2x 2 y = f(x (