( a 3 = 3 = 3 a a > 0(a a a a < 0(a a a

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1 (

2 ( a 3 = 3 = 3 a a > 0(a a a a < 0(a a a = (( 1 6 : a 1 a a = (( 1 ( a 6 = (( = (( 1 ( 7 2 a b = ((a (b (b = 2 3 = = 2 3

3 0 a b = a c b c (c = = 50 7 ˆ 0 ˆ ( ˆ 1 1 ( a b a b a b 1 a a b 1 b a b ˆ ˆ = = (x y = z y

4 = = = = = = = = = x + 12y 4 10x + 12y 4 = 10x y 4 = 10 4 x y = x y = 5 2 x + 3y 10x + 12y 4 = ((10x + 12y 4 = (10x y 4 = ( 10x y 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

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

6 ( = = 11 ( ( = 1 + (2 + 3 = = = a b = a c b c (c = = = : a b a b ( : = = = = 10 = = 5 + = 11

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

8 ( (2 3 4 = 2 (3 4 = = = = = 5 6 ( = 2 5 = : (2 3 4 = 2 ( = = 23 ( = 23 ( 5 3 ( ( ( ( ( (9 3 ( ( ( (1 + 2 = 3 (1 + 2 = 3 3 = 9 9 3(1 + 2 = 9 (3 3 = 9 9 = (1 + 2 (9 3(1 + 2

9 = 3 = = 4 = 12 4 = 12 4 = = 8 2 = = = (2 2 2 = (( = (( (2 + 2 = = 2 8 = = 4 3 = 64 (: = = 2 7 = = (2 2 2 ( = = 2 7

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

11 = = = (1 + 2 ((1 + 2 = (1 + 2

12 ( 1 + ( = ( = ( = 1 + ( ( 4 = ( 4 = ( = 1 + ( ( ( ( ( = 1 + (( 1 ( (( 1 ( = 1 + (( = 1 + ( ( = ( (1 + 2 = ( ( = ( = ( ( ( 3 ( = (

13 3 ( ( ( ( (5 + 4 = ( ( ( ( (5 + 4 = = = ( ( ( ( ( (5 + 4 ( = ( ( 3 = ( ( = ( ( 3 ( = 3 ( = ( (x a 6 a x a + b + 7 x (x a x a + b + 7 x (x + 1

14 ( 6 a x a + b + 7 x (x 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

15 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 a = 1 2ab 12a a 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

16 (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 : x x x x + 24 ( 0 x x = 1 x = 1 x = 1 0 x x x x + 24 = ( (10 ( (35 ( (50 ( = = 0 x = 1 0 (x + 1( x x 4 1

17 x 3 1 x 4 1 x x x x + 24 = (x + 1(x 3 + (x + 1(x 3 + (x + 1(x 3 + = x 4 + x 3 + x x 3 9x 2 ((x + 1 x x x x x + 24 = (x + 1(x 3 + 9x 2 + (x + 1(x 3 + 9x 2 + (x + 1(x 3 + 9x 2 + = x x 3 + 9x 2 + x x 2 26x x x x x + 24 = (x + 1(x 3 + 9x x + (x + 1(x 3 + 9x x + (x + 1(x 3 + 9x x + = x x x x + x 50 24x 24 x x x x + 24 = (x + 1(x 3 + 9x x (x + 1(x 3 + 9x x (x + 1(x 3 + 9x x = x x x x x x x x + 24 = (x + 1(x 3 + 9x x + 24 (x 3 + 9x x + 24 x = 2 x 3 + 9x + 26x + 24 = ( (9 ( (26 ( = = 0 (x + 2( (x + 1(x 3 + 9x x + 24 = (x + 1(x + 2(x 2 + 7x + 12 x x x x + 24 = (x + 1(x + 2(x + 3(x + 4

18 5 ( = ( 5.1 ( = ( = 3 2(a + b = 2a + 2b y = 4x (x + 2 = x + 6 = 9 3(x + 2 = 3x = 9 A = A B = B A = B A = B 3(x + 2 = 3x = 9 3(x + 2 = x + 6 = 9 x 1 = 5 (x = (5 + 1 x = 6 A = B A + C = B + C A B A = B (A + C = (B + C

19 ( 0 0 2x + 2 = 6 (2x = (6 1 2 x + 1 = 3 A = B (A C = (B C x + 1 = 8 (x = (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 ab ( = ( 2 = = 1

20 2 = 2 1 = 1 1 = 2 1 = 2 2 = 2 = 2 1 = 2 1 = 1 = 1 2 = 2 1 = 1 ( = 2 = = = 1 : 2 = = = 1 3(x + 2 = 15 3(x + 2 = 15 3x + 6 = 15 (3x = (15 6 3x = 9 (3x 1 3 = (9 1 3 x = x 1 = 5 (x = (5 + 1 x = 6 x = (5 + 1 x 1 = 5 x = ( x 1 = 5 (x 1+1 = (5+1 x = (5+1 x = 6

21 x 1 = 5 x = ( 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

22 ( 1. ( 4 2. ( 5 3. ( 6 5. ( 7 6. ( ( 3. C F C F C F A B D E A B D E A B D E 4: 5: 6:

23 C F C F A B D E 7: A B D E 8: (( + ( ( 1 2 ( ( ˆ ˆ

24 ( ( 2 1 ( 1 ( ( ( 90 ( ( ˆ ˆ ( ( ( ˆ ˆ 3.

25 6.3 π 3.14 ( π 2 ( 2 π ( 2 π ( 360 ( 360 ( 2 π ( C F E A O D B 9: C F O E A D B 10:

26 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:

27 6.5 ( ( ( ( 1 3 ( ˆ 3l 6l 2 ˆ 4m 2 1m ˆ %( ( 1 = 100% = 1000 ˆ 1 ˆ 100 ˆ 1000

28 7.2 ˆ 3l 6l 2 ˆ 4m 2 1m ˆ ˆ 3l 6l 2 3 : 6 ˆ 4m 2 1m : 1 ˆ : 5 3 : : 6 3 : = : 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 =...

29 2 : 5 = 4 :2 : 5 = : 10 y = 5 2 x 5 2 : 5 x y : 5 = 4 : x = 4 ( 5 y = 2 4 y = 10 2 : 5 = : 10 y = = 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 (

> > <., vs. > x 2 x y = ax 2 + bx + c y = 0 2 ax 2 + bx + c = 0 y = 0 x ( x ) y = ax 2 + bx + c D = b 2 4ac (1) D > 0 x (2) D = 0 x (3

> > <., vs. > x 2 x y = ax 2 + bx + c y = 0 2 ax 2 + bx + c = 0 y = 0 x ( x ) y = ax 2 + bx + c D = b 2 4ac (1) D > 0 x (2) D = 0 x (3 13 2 13.0 2 ( ) ( ) 2 13.1 ( ) ax 2 + bx + c > 0 ( a, b, c ) ( ) 275 > > 2 2 13.3 x 2 x y = ax 2 + bx + c y = 0 2 ax 2 + bx + c = 0 y = 0 x ( x ) y = ax 2 + bx + c D = b 2 4ac (1) D >

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