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1.2.

3.

4.5.

1.

2.

4.

5.

6.

.1–26 31

11

2

2

4

2 4 5225

a2 b2 = (a b a + b(a + b 2 = a2 + 2ab + b2

(a b 2 = a2 ab + b2

ax2 + bx + c a D = b2 ac

x = –b D—2a x2 = –b + D—2a D

x = x2 = –b—2 D

ax2 + bx + c = a(x x x x2

a = n = a a an

a R n N n 2

a a2 =

a–n = —n n N

am—n = amn m Z n N n 2

ax ay = ax + y x

—y = ax – y (ax y = ax y

(ab x = ax bx (ab

x =

x—bx

a b c k

alogab = b log

log (b c b + log c

log bc = log b c

log bn = n log b

log k b = k log b

an = a + d(n Sn = a + n—2 n

Pn 2 n = n! C kn = n!—k! (n k A k

n = n!—(n kP (A = kn

bn = b qn Sn = b (qn—q (q

a = a –a

2

ax y = ax

a

= a(x

= –b—2a

k

+ d(n

(x

—y = ax

a x

N

n N

n N n

x = x2 x2 +

– DD—2a

c a

1.

200150100

350300250

500

2.

3.

4. 2

5. MBA = 25o

M B C

A D?

25o

o o o o o

4

o

A

M25o

6. y = f(x

7. ( a 2 + a

2 2 4 2

8. F F C

o

oF oF oF oF oF

y

y = f(x)

x1–1 410

5

F

F

2

11

= = f((ff x)x

(2x2—4x

2—x

2—x4

4—x

—2x4 —2x

11.x y

x + 4y = x y x y

4

xx +xx

—2

12. f(x x + tgx

f (x x2 + —tg x

f (x x —tg x

f (x x4 + —cos2 x

f (x x2 + —cos2 x

f (x x4 —tg x

13. x

+ + +

14. o

2 2 —2 —22—2

o

+

15.

2 4

16.

CNB DM i DN

o MBND

2 2 2 2 2

M N

A C

D

B

BNDDM

2

--

17.

123

y = 2x

y xy x

y

x1–3 310

y

x1–3 310

y

x1–3 310

–331

33

18. =

123

1 a2

2 a3 log2 (4 + a

5

123

1 2 3

CB K

DA

5

D

123

12 C3

A1

B1 C1

D1

A D

CBB

D1

21.

1.

2.

22. ACB o

1.

O15o

A

C

BO

o

23.

1.

2. AC

C

24. an a2 a4

1.

2. S

25.

5

26.

27.log5—log5 5

28. x

y = x 1.

x y

2. y = x 3.

4. F(x f (x x 5. S

f 6. S

xf (ff xxS

31. SABCD ABCD

1. SABCD SA

SABCD

DCD

32. 1. SABCD

2.

33. x4 + y4 x y + xy

4 + y4

SABCD

34. x + 2a x + a2 x—x x a

1. x—x

2. a

( x

( x = 2 x (ex = ex

(ln x = x (sin x = cos x

(cos x = sin x (tg x = cos2x

(u + v = u + v (u v = u v

(uv = u v + uv (Cu = Cu

(u–v = u v uvv2

sin = y cos = x sin2 + cos2

tg = 2 = cos2

sin2 = 2sin cos cos2 = cos2 sin2 o = cos o = sin o = sin o = cos

o = tg o = tg

a

b

f(x dx = F(x a

b = F(b F(a

0–1

–1

1

1

y

x

M(x , y )

x

y

tg

cos

sin

o o

2

2

2—2

—

2—2

—2

—2

45o4

o o o o o2 —2 2

F(x CC

f(x

C

x — + C

ln x + C

x + C

sin x x + Ccos x sin x + C

tg x + C—cos2 x

ex ex + Cx

x

=

= co

sin2

M

sin

2 = coso

s2

= s2

F(FF a

—os x

x—

ln

Cx +x C

F(FF xx C

24

S = ab sinS = aha

V = S HS = P H

V = S H

S = 2 P m

V = R2H

S = 2 RH

V = R2H

S = RL

V = 4 R

S = 4 R2

L = 2 R

(x x 2 + (y y 2 = R2S = R2

S = 2 d d2

d d2 S = a + b—2 h

a b S = ab

p = a + b + c—2 + +

a2 = b2 + c2 bc cosa— = b—sin = c—sin = 2R

R – ABC

a2 + b2 = c2

bc = cos ac = sin a

b = tg

c

ab

C

A B

ha

ca

b

a

b ha

a

bd1

d2

a

b

h

R

M(x0, y0)

H

M(x0, y0, z0)

A(x1, y1, z1) B(x2, y2, z2)

H m H

R

RH L

R

R

S = 2a ha S = 2b c S = p(p a p b p c

x = x + x2—2 y = y + y2—2 z = z + z2—2

AB (x2 x y2 y z2 z AB (x2 x 2 + (y2 y 2 + (z2 z 2

a b = a b + a2b2 + a b

a b = a b

a(a1, a2, a3)b(b1, b2, b3)

H

x y2 y

)

M y0

V =

S

H

R

d2

S = 2 d d

d2

c

n