çözümünde .................................... ve ................................. .................................................................. En az..................................................................................................

(1)

(2)

Simedy an A kademi a, b, c, d, e, f Î en az ... ... ... ... ... En az ... ... ... ... çözümünde ... ve ...

(3)

Simedy an A kademi Örnek-1

2x -

y = 5

x + y = 7

(4)

4x -

y = 55

2x -

y = 5

(5)

x -

y

= 5

y -

2x = 2

(6)

x -

y = 3

x.y = 4

(7)

-

x + y = 2

x + y + 5y + x -

26 = 0

(8)

x -

2y + x -16 = 0

y -

2x + 3 = 0

(9)

y = x + x + 8

y = -x -

7x

(10)

Simedy an A kademi Örnek-8 y 9 3 A - 4 x 4 3 B

(11)

Simedy an A kademi 1.

x-

2y = -15

y + x = 12

(12)

x

2

-

4y

2

+ x + 2y = 18

x -

2y = 5

(13)

x + 2y

3xy = 6

x + y = 1

(14)

x -

2y = 1

x.y = 1

(15)

x + 3y

-

3 = 0

y -

x -

2 = 0

(16)

y = x -

x -

2 y = -x + 2x + 3

(17)

Simedy an A kademi a, b Î R, a ¹ ... , ... , ... ve ... ... ...

(18)

Simedy an A kademi ... a, b Î ... ... ... ... ... B ...

(19)

Simedy an A kademi a, b Î ... ... ... ... ... B ...

(20)

Simedy an A kademi

a, b

Î R ve a < b olmak üzere,

...

a

-b

...

-...

...

(21)

Simedy

an A

kademi

Örnek-1

(22)

5 - 3x

-4

(23)

Simedy an A kademi a, b, c Î R, a ¹ ax bx + c ..., ax + bx + c ... ax + bx + c ..., ax + bx + c ... ... B ... B ...

(24)

f(x) = ax

1. ... x₁ x₂ x y ... ... ... ... y=f(x) x₁ x₂ x y y=f(x) ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... x ... ... ... ... f(x) ... ... ... B

(25)

Simedy

an A

kademi

Örnek-3

(26)

Simedy

an A

kademi

Örnek-4

(27)

Simedy

an A

kademi

(28)

5x

2

-

7x -

6 > 0

en büyük

en küçük

(29)

Simedy

an A

kademi

Örnek-7

(30)

Simedy

an A

kademi

Örnek-8

(31)

x

2

-

bx + c < 0

È

(32)

Simedy

an A

kademi

Örnek-10

(33)

Simedy an A kademi 2. ... ... ... ... x₁=x₂ x₁=x₂ x y x y ... ... ... ... ... ... ... ... .. . .. . ... ... ... ... ... ... ... ... ... ... .. . .. . x -f(x) ... ... ... B

(34)

Simedy

an A

kademi

Örnek-11

(35)

Simedy

an A

kademi

Örnek-12

(36)

Simedy an A kademi 3. ... ... ... x y .. . ... ... .. .... ... ... ... ... ... ... ... ... x y ... ... ... ... ... ... ... ... ... _... ... ... x -f(x) ...

(37)

Simedy

an A

kademi

Örnek-13

(38)

Simedy

an A

kademi

Örnek-14

(39)

Simedy an A kademi NOT

B

ax

2

...

>

...

ve

...

<

...

B

ax

2

...

>

...

ve

...

<

...

(40)

Simedy

an A

kademi

Örnek-15

(41)

-x + 5x + 2a -

1 en büyük

(42)

Simedy

an A

kademi

Örnek-17

(43)

Simedy

an A

kademi

1.

(44)

- 7 - 2x

3 > 2

(45)

Simedy

an A

kademi

3.

(46)

Simedy

an A

kademi

4.

(47)

Simedy

an A

kademi

(48)

Simedy

an A

kademi

6.

(49)

-Simedy

an A

kademi

7.

(50)

Simedy

an A

kademi

8.

(51)

x

2

göre,

(52)

Simedy

an A

kademi

10.

(53)

Simedy

an A

kademi

11.

(54)

Simedy

an A

kademi

12.

(55)

Simedy

an A

kademi

13.

(56)

Simedy

an A

kademi

14.

(57)

Simedy

an A

kademi

15.

(58)

Simedy

an A

kademi

16.

(59)

Simedy

an A

kademi

17.

(60)

Simedy an A kademi 1. ... 2. ... bulunur. 3. ... ... 4. ... ... ... 5. ...

(61)

Simedy an A kademi B ... x4, (x - 3)2, (x + 2)8, ... ® x, x3, (x - 1)5, (x + 4)7, ... ® B ... B _Q(x)P(x) ...

(62)

Simedy

an A

kademi

Örnek-18

(63)

Simedy

an A

kademi

Örnek-19

(64)

Simedy

an A

kademi

Örnek-20

(65)

Simedy

an A

kademi

Örnek-21

(66)

Simedy

an A

kademi

Örnek-22

(67)

Simedy

an A

kademi

Örnek-23

(68)

Simedy

an A

kademi

Örnek-24

(69)

Simedy

an A

kademi

Örnek-25

(70)

x

5 y

-1

Buna göre, f(x)

(71)

x

y

1

Buna göre, f(x) > 0

(72)

x

4 y

-1

Buna göre,

(x

2

bulunuz.

(73)

x - 2

x + 7

0

(74)

x

2

- 4x - 5

x - 2

> 0

(75)

x

2

- 3x - 4

4 - x

2

0

(76)

2 x - 4

x + 1

1

(77)

x

x + 2

1 x

(78)

3x

x - 2

> 3

x

2

- x

(79)

a < 0 < b olmak üzere

ax - b

x + a

0

Örnek-35

(80)

(x - x - 6).|x + 3|

x

2

- 5x

0

2

(81)

3

-x

.(x - 2)

5

x

2

0

(82)

Simedy an A kademi Örnek-38 y = f(x)

x

4

y

-4 0 1 f(x) x2 - 3x 0

(83)

x

3 y

-2

y = f(x) f(x) 1 - x2 > 0

(84)

Simedy

an A

kademi

Örnek-40

(85)

Simedy

an A

kademi

1.

(86)

Simedy

an A

kademi

2.

(87)

Simedy

an A

kademi

3.

(88)

Simedy

an A

kademi

4.

(89)

Simedy

an A

kademi

5.

(90)

Simedy

an A

kademi

6.

(91)

Simedy

an A

kademi

7.

(92)

Simedy

an A

kademi

8.

(93)

x

y

-3

₂

Buna göre,

f(x) < 0

(94)

Simedy an A kademi 10.

x

y

1 Buna göre,

f(x) > 0

(95)

x

y

-4

1 Buna göre,

(x

2

- x).f(x) > 0

(96)

3 - x

x + 5

0

(97)

x

2

- 2x - 3

x + 4

< 0

(98)

x

2

- 5x - 6

9 - x

2

0

(99)

3 x - 2

x + 3

2

(100)

x

x + 8

< 1

x - 1

(101)

x

x + 4

< 2

x

(102)

a < b < 0 < c olmak üzere

bx + c

x - a

0

(103)

(x

2

- x - 2).|x - 5|

x

2

- 3x

0

(104)

2

-x+1

.(x + 1)

6

(x - 2)

3

> 0

(105)

x

y

2 -1

-3

y = f(x)

f(x)

x

2

+ x - 2

0

(106)

x

y

2 -1

y = f(x)

f(x)

1 - x

2

> 0

(107)

(k + 3)x

2

+ 2x + 4 - k

2

= 0

göre,

(108)

x

2 1

ve x

2

1 x

₁

+

x

1

₂

< 2

(109)

Simedy an A kademi en az ... ... ... ...

(110)

Simedy an A kademi Örnek-41 x.(2 - x) > 0 (3x + 1).(x - 3) < 0 a -

(111)

x - 1

3 - x

< 0

2 - x

x + 2

0

(112)

x

2

+ 7x + 10 > 0

x

2

+ 4x - 5 < 0

(113)

Simedy

an A

kademi

Örnek-44

(114)

3x + 1

x - 1

< 2

(115)

Simedy

an A

kademi

Örnek-46

(116)

x

4 y

y = f(x)

Buna göre,

x

3

(x

2

- 3x - 4).(x + 1) > 0

(117)

óx - 4 . (1 - x)

x

3

+ 1

(118)

Simedy an A kademi 1. 0 (2x - 3).(x + 2) < 0 b -

(119)

x + 3

1 - x

< 0

1 + x

x - 2

(120)

x

2

+ 4x - 12 < 0

x

2

(121)

Simedy

an A

kademi

4.

(122)

1 <

2x - 3

x + 2

< 3

(123)

Simedy

an A

kademi

6.

(124)

Test-1

x, y Î R x2 + y2 = 1 x + y = 1 A) (0, 1) B) (2, 0) C) (2, -1) D) (-1, 0) E) (-1, 1)

(125)

y = x

2

- x - 6

y = x + 2

A) -2

B) 0

C) 2

D) 4

E) 6

Test-1

(126)

x - y = 5

y

2

- 2x = 0

A) 20

B) 15

C) 12

D) 10

E) 5

Test-1

(127)

y + 3x

2

- 4x - 6 = 0

y + 2x

2

- 1 = 0

A) {(1, 13), (-5, 61)}

B) {(-1, -1), (5, -49)}

C) {(-1, 10), (2, 7)}

D) {(11, 11), (0, 5)}

E) {(-11, 1), (13, 5)}

Test-1

(128)

Simedy an A kademi 5. x2 - xy + 2x - y + 1 = 0 y - x + 2 = 0 A) {(1, 3)} B) {(0, 1)} C) {(-4, 1)} D) {(-1, -3)} E) {(0, 0)}

Test-1

(129)

Simedy an A kademi 6. a = x2 - 2x - 3 b = x - 3 A) -3 B) -2 C) 1 D) 2 E) 3

Test-1

(130)

Simedy an A kademi 7. x + y = 2 x.y = 2 A) _Æ B) R C) {(2, 1)} D) {(-1, -1)} E) {(0, 1), (2, 0)}

Test-1

(131)

Simedy an A kademi 8. y - x2 + 2x + 5 = 0 y - 2x2 - x + 9 = 0 A) {(-3, 1), (2, 5)} B) {(-1, 6), (2, 5)} C) {(-4, 19), (1, -6)} D) {(-4, 3), (-1, -2)} E) {(3, -6), (-2, 0)}

Test-1

(132)

Simedy an A kademi 9. x2 - 3xy - x - y - 1 = 0 y - x = 2 A) -6 B) -4 C) 0 D) 2 E) 6

Test-1

(133)

x

2

+ 3y

2

- 2x + 2 = 0

y

2

- x + 2 = 0

A) 4

B) 3

C) 2

D) 1

E)

Test-1

(134)

Simedy an A kademi 11. x2 - xy + 2x - 8 = 0 x - y = 2 A) {(-1, 3)} B) {(0, 2)} C) {(-2, 0)} D) {(2, 0)} E) {(3, 1)}

Test-1

(135)

Simedy an A kademi 12. 16x2 - y2 = 24 4x + y = 12 A) {(3, 2)} B) {( 7 4 , 5)} C) {(- 34 , 3)} D) {(1, -3)} E) {(3, 7 2 )}

Test-1

(136)

Test-2

x

2

- x - 12 < 0

A) 7

B) 3

C) 0

D) -1

E) -4

(137)

(x

2

0 A)

È {-2}

B)

C) [-2, 3]

D)

E)

Test-2

(138)

Simedy an A kademi 3. f : A ® R, -x2 _{- 5x + 24} A) 10 B) 11 C) 12 D) 13 E) 14

Test-2

(139)

Simedy an A kademi 4. 2x - 6 x + 2 0 A) B) C) D) [-2, 3] E) (-2, 3]

Test-2

(140)

x

x + 6

< 1x

A) (-2, 3)

B)

C)

D) (-6, -2)

È (0, 3)

E) (-6, 3]

Test-2

(141)

Simedy an A kademi 6. 2x + 9 (x + 3)2 > 1 A) (-4, 0) -{-3} B) (-3, 0) C) (-4, -3) D) E)

Test-2

(142)

Simedy an A kademi 7. x2 - 4x < 0 x2 0 A) 1 B) 3 C) 5 D) 6 E) 10

Test-2

(143)

Simedy an A kademi 8. x y 2 0 -3 y = f(x) _{Buna göre,} _{1 - x}f(x)₂ 0 A) (-3, 2] B) [-3, -1) _È C) D) E) [1, 3]

Test-2

(144)

Simedy an A kademi 9. (a - 1)x2 + 4x - 4 + a2 = 0 A) [-2, 1) B) (-1, 2] C) D) (-2, 2) E) È (1, 2)

Test-2

(145)

a < 0 < k olmak üzere

ax - k

x + a

0 A) -18

B) -12

C) -3

D) 3

E) 9

Test-2

(146)

Simedy an A kademi 11. 4x.(x2 - 9).|x - 2| x2 - 3x - 4 0 ü A) 6 B) 5 C) 4 D) 3 E) 1

Test-2

(147)

f(x) = x

2

+ (a - 2)x - a

A)

B) R

C) R - {2}

D) (-2, 2)

E)

Æ

Test-2

(148)

Test-3

A) -5

B) -1

C) 0

D) 4

E) 7

(149)

Simedy an A kademi 2. (x - 4).(x2 - x - 20) > 0 en küçük A) -7 B) -5 C) -3 D) 0 E) 4

Test-3

(150)

x

3

- 3x

2

- 9x + 27 < 0

A)

B) (-3, 3]

C)

D)

E)

Test-3

(151)

Simedy an A kademi 4. x2 0 A) R B) _Æ C) D) E) R - {3}

Test-3

(152)

x

2

- x - 6

x + 1

0 A) 5

B) 4

C) 3

D) 2

E) 1

Test-3

(153)

Simedy an A kademi 6. x(x - 2) < 0 0 A) [-1, 2] B) (0, 2) C) (-3, 1] D) [-1, 4) E) (2, 4]

Test-3

(154)

Simedy an A kademi 7. x y 4 1 -3 y = f(x) _{Buna göre,} (x2 A) 19 B) 16 C) 13 D) 10 E) 7

Test-3

(155)

Simedy an A kademi 8. f(x) = (m + 1)x2 + (m + 1)x - 1 Î A) (-3, 1) B) C) (-1, 7) D) (-5, -1) E)

Test-3

(156)

(x - 2)

2

< |x - 2| + 2

A) 0

B) 1

C) 3

D) 5

E) 6

Test-3

(157)

9 x

<

4 x

en küçük

A) -6

B) -5

C) -2

D) 3

E) 5

Test-3

(158)

x

2

+ (m - 2)x + m - 3 = 0

1

ve x

2

x

₁

+ x

₂

x

₁

.x

₂

A) -3

B) -1

C) 0

D) 2

E) 4

Test-3

(159)

4 - x < x

2

- x < 3x + 5

a + b

A) 2

B) 4

C) 6

D) 7

E) 10

Test-3

(160)

Test-4

ñx - 34ñx - 4 < 0 A) B) C) [0 , 256) D) E) (1 , 256)

(161)

4 x+1

< 2

A)

È

B) [-3 , 1]

C)

D) (-3 , -1)

E)

Test-4

(162)

3x - 7

(x

2

- 2x).(5 - x)

A) (2 , 5)

B)

[ 7

3 )

C)

[ 7

3 , 5

)

D)

(-2 , 7

3 )

E)

(

7

3 )

Test-4

(163)

Simedy an A kademi 4. f(x) = x 2 - 3x + 4 x2_{- ax + 3} en büyük A) -2 B) -1 C) 1 D) 3 E) 5

Test-4

(164)

Simedy an A kademi 5. 3 3 3 ₃ a 3 3 14444444244444443 3 3 A) 3 B) 4 C) 5 D) 6 E) 7

Test-4

3 3

(165)

Simedy an A kademi 6. f(x) = (a - 3)x2 + 4x + 2 A) B) (3 , 5) C) D) (-3 , 0) E)

Test-4

(166)

Simedy an A kademi 7. Buna göre, f(x + 2) . (x2 A) B) [-4 , -3] _{È [3, 4] C) [-4 , 3] D) [-3, 4] E)}

Test-4

(167)

Simedy an A kademi 8. 2x2 - x - k - 1 - y = 0 3x - y + k = 0 göre, A) B) (-3 , -1) C) ₍ 3 2) D) [-7 , -11] E)

Test-4

(168)

Simedy an A kademi 9. (2a - b + 2)2 - 4a + 2b - 19 = 0 4a2 - b2 = 15 A) -2 B) -4 C) -6 D) -8 E) -16

Test-4

(169)

|x - 2| . 3

x2 _{- x}

x

2

- 4x - 12

A) 14

B) 12

C) 8

D) 5

E) 3

Test-4

(170)

Simedy an A kademi 11. x y a d b c e y = f(x) y = f(x) = x2 A) -9 B) -5 C) 0 D) 5 E) 6

Test-4

(171)

Simedy an A kademi 12. 2 1 ve x2 olsun. Bu 1 + x2 = - b_a 1 . x2 = _ac x2 + (m - 2)x + m - 6 = 0 1 ve x2 1 < 0 < x2 ve |x1| > |x2 göre, A) 3 B) 4 C) 5 D) 6 E) 7

Test-4

(172)

Simedy an A kademi 1. x2-xy+2=0 x-y= rler t kaç A) -6 B) -4 C) 0 D) 2 E) 4

(173)

Simedy an A kademi 2. • • A) 36 B) 33 C) 30 D) 26 E) 18

(174)

Simedy an A kademi 3. f(x) = x2 - x - 20 en az A) 141 B) 151 C) 161 D) 171 E) 181

(175)

Simedy an A kademi 4. 2_{ve tüm} 2 A) 32 B) 30 C) 26 D) 24 E) 30 2 m 2 m 2 m 2 m 3 m 3 m 3 m 3 m