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TRANSCRIPT
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
22
( 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