-
.
Begin1◦. a. P = 4 a.
Begin2◦. a. S = a 2.
Begin3◦. a b. S = a b
P = 2(a + b).
Begin4◦. d. L =π d.
π 3.14.
Begin5◦. a. V =a2
S = 6 a2.
Begin6◦. a, b, c .
V = a b c S = 2(a b + b c + a c).
Begin7◦. L S R:
L = 2π R,
S = π R2.
π 3.14.
Begin8◦. a b. : (a + b)/2.
Begin9◦. a b. -
, :√ a b.
Begin10◦. . , ,
.
Begin11◦. . , ,
.
Begin12◦. a b. -
c P:
c= 
P=a+b+c
Begin13◦. R 1 R 2(R 1> R 2).
S 1 S 2, S 3,
R 1, R 2:
S 1= π(R 1)2,
S 2= π(R 2)2,
S 3= S 1− S 2.
π 3.14.
Begin14◦. L . R S ,
, , L = 2π R, S = π R2.
π 3.14.
12
. . . Programming Taskbook 4.6
Begin15◦. S . D L ,
, , L = 2π R, S = π R2.
π 3.14.
Begin16◦. -
x 1 x 2 : | x 2− x 1|.
Begin17◦. A, B, C . AC
BC .
Begin18◦. A, B, C . C
A B. AC BC.
Begin19◦. :
(x 1, y 1), (x 2, y 2). .
.
Begin20◦.
(x 1, y 1) (x 2, y 2) .
|
|
|
Begin21 ◦. : (x 1, y 1), (x 2, y 2), (x 3, y 3).
, -
c:
a, b, c :
S = 
,
p = (a + b + c)/2 .
Begin22◦. A B
A B.
Begin23◦. A, B, C. , -
A B, B C, C A, A,
B, C.
Begin24◦. A, B, C. , -
A C, C B, B A, A,
B, C.
Begin25◦. y = 3 x6 − 6 x2 − 7 x.
Begin26◦. y = 4(x −3)6−7(x −3)3 + 2
x.
Begin27◦. A. A8, -
. A2,
A4, A8. A.
,
13
Begin28◦. A. 15, -
.
A2, A3, A5, A10, A15. A.
Begin29◦. α (0 < α < 360).
, , 180º=π .
π 3.14.
Begin30◦. α (0 < α < 2π).
, , 180º=π .
π 3.14.
Begin31◦. T .
. -
T C T F -
:
T C= (T F− 32)5/9.
Begin32◦. T . -
. -
T C T F -
:
T C = (T F − 32)5/9.
Begin33◦. , X A . ,
1 Y .
Begin34◦. , X A , Y -
B . , 1 ,
1 , .
Begin35◦. V /, U /
(U < V). T 1 , ( )
T 2 . S, ( = ).
,
.
Begin36◦. V 1 /, V 2 /, -
S . T ,
. -
|
|
|
, ;
= t υ, υ- .
Begin37◦. V 1 /, V 2 /, -
S . T ,
.
14
. . . Programming Taskbook 4.6
,
; 
= t υ, υ-
Begin38◦. A x + B = 0, -
A B ( A 0).
Begin39◦. Ax2 + Bx + C = 0, -
A, B, C ( A 0), -
, . -
, .
:
=(- B 
) / (2A),
D , B2 − 4 A C.
Begin40◦.
A 1 x + B 1 y = C 1,
A 2 x + B 2 y = C 2,
A 1, B 1, C 1, A 2, B 2, C 2, ,
. -
x = (C 1 B 2− C 2 B 1)/ D,
y = (A 1 C 2− A 2 C 1)/ D,
D = A 1 B 2− A 2 B 1.
-
. , (
, . .), .
Integer1◦. L .
, (1 = 100 ).
Integer2◦. M . ,
(1 = 1000 ).
Integer3◦. . ,
,
(1 = 1024 ).
Integer4◦. A B (A > B). -
A B
( ). ,
B, A.
Integer5◦. A B (A > B). A
B (
). ,
A.
Integer6◦. . (-
), ().
, -
.
Integer7◦. . .
Integer8◦. . , -
.
Integer9◦. . ,
().
Integer10◦. .
(), ().
Integer11◦. . .
Integer12◦. . , -
.
Integer13◦. .
. .
Integer14◦. .
. .
Integer15◦. . , -
|
|
|
(, 123
213).
Integer16◦. . , -
(, 123
132).
Integer17◦. , 999. -
, ,
.
Integer18◦. , 999. -
, ,
.
Integer19◦. N (N ).
, .
16
. . . Programming Taskbook 4.6
Integer20◦. N (N ).
, .
Integer21◦. N (N ).
, .
Integer22◦. N (N ).
, .
Integer23◦. N (N ).
, .
Integer24◦. : 0 ,
1 , 2 ,..., 6 . K,
1365. K -
, , 1 .
Integer25◦. : 0 ,
1 , 2 ,..., 6 . K,
1365. K -
, , 1 .
Integer26◦. : 1 -
, 2 ,..., 6 , 7 . K,
1365. K -
, , 1 .
Integer27◦. : 1 -
, 2 ,..., 6 , 7 . K,
1365. K -
, , 1 .
Integer28◦. : 1 -
, 2 ,..., 6 , 7 . K,
1365, N, 17.
K - , ,
1 N.
Integer29◦. A, B, C. -
A B
C ( ). ,
, .
Integer30◦. ( ). -
, , , ,
20 1901 .
TRUE,
, FALSE . , -
|
|
|
( , . .),
.
Boolean1◦. A. : -
A .
Boolean2◦. A. : -
A .
Boolean3◦. A. : -
A .
Boolean4◦. : A, B. :
A > 2 B ≤ 3.
Boolean5◦. : A, B. :
A ≥ 0 B < −2.
Boolean6◦. : A, B, C. -
: A < B < C.
Boolean7◦. : A, B, C. -
: B A C.
Boolean8◦. : A, B. :
A B .
Boolean9◦. : A, B. :
A B .
Boolean10◦. : A, B. -
: A B .
Boolean11◦. : A, B. -
: A B .
Boolean12◦. : A, B, C. -
: A, B, C .
Boolean13◦. : A, B, C. -
: A, B, C .
Boolean14◦. : A, B, C. -
: A, B, C .
18
. . . Programming Taskbook 4.6
Boolean15◦. : A, B, C. -
: A, B, C .
Boolean16◦. . -
: .
Boolean17◦. . -
: .
Boolean18◦. :
.
Boolean19◦. :
.
Boolean20◦. . :
.
Boolean21◦. . :
.
Boolean22◦. . :
-
.
Boolean23◦. . -
: .
Boolean24◦. A, B, C ( A 0). -
D = B2 − 4 A C, :
Ax2 + B x + C = 0 .
Boolean25◦. x, y. :
(x, y) .
Boolean26◦. x, y. :
(x, y) .
Boolean27◦. x, y. :
(x, y) .
Boolean28◦. x, y. :
(x, y) .
Boolean29◦. x, y, x 1, y 1, x 2, y 2. -
: (x, y) ,
(x 1, y 1),
(x 2, y 2), .
Boolean30◦. a, b, c, -
. : -
a, b, c .
Boolean31◦. a, b, c, -
|
|
|
. : -
a, b, c .
Boolean32◦. a, b, c, -
. : -
a, b, c .
Boolean33◦. a, b, c. :
a, b, c.
Boolean34◦. x, y ( , -
18). , (1, 1)
, : -
.
Boolean35◦. x 1,
y 1, x 2, y 2 ( , 18).
: .
Boolean36◦. x 1, y 1,
x 2, y 2( , 18). -
: .
Boolean37◦. x 1,
y 1, x 2, y 2( , 18).
: -
.
Boolean38◦. x 1,
y 1, x 2, y 2( , 18).
: .
Boolean39◦. x 1, y 1,
x 2, y 2( , 18). -
: .
Boolean40◦. x 1,
y 1, x 2, y 2( , 18).
: .
20
. . . Programming Taskbook 4.6
If1. . ,
1; . .
If2. . ,
1; 2. .
If3. . ,
1; , 2; ,
10. .
If4◦. . -
.
If5. .
.
If6◦. . .
If7. . .
If8◦. . , .
If9. : A, B. -
, A ,
B . A B.
If10. : A B. ,
, ,
.
A B.
If11. : A B. ,
, ,
.
A B.
If12◦. . .
If13. . ( ,
).
If14. . ,
.
If15. . .
If16. : A, B, C.
, ; -
.
A, B, C.
If17. : A, B, C.
, ; -
.
A, B, C.
If18. , , -
. ,
.
If19. , ,
. ,
.
If20. : A, B, C. ,
(B C) A,
A.
If21. . -
, 0. -
, OX OY, 1
2. , 3.
If22◦. , OX OY.
,
.
If23. ,
. -
.
If24. x f,
:
f (x) = 2sin(x), x > 0,
6 − x, x ≤ 0.
If25. x f, -
:
f (x) =
2 x, x < −2 x > 2,
−3 x, .
If26◦. x f,
:
22
. . . Programming Taskbook 4.6
− x, x ≤ 0,
f (x) = x2, 0 < x < 2,
4, x ≥ 2.
If27. x f,
:
0, x < 0,
f (x) =
1, x [0, 1), [2, 3),...,
−1, x [1, 2), [3, 4),....
If28. ( ).
, , 365 ,
366 . , 4,
, 100 400
(, 300, 1300 1900 , 1200 2000
).
If29. . -
, , . .
If30. , 1999. -
,
. .
Case1. 17.
, (1 , 2 -
. .).
Case2◦. K. - , -
K (1 , 2 , 3 -
, 4 , 5 ). K 15,
.
Case3. 112 (1 , 2 -
. .). (,
, , ).
Case4◦. 112 (1 , 2
. .). -
.
Case5.
: 1 , 2 , 3 , 4 .
N ( 14) A
B (B 0).
.
Case6. : 1 ,
2 , 3 , 4 , 5 .
( 15)
( ). .
Case7. : 1 ,
2 , 3 , 4 , 5 . -
( 15)
( ). .
Case8. : D () M (), -
. D M ,
.
Case9◦. : D () M (), -
. D M ,
.
Case10◦. (ѻ ,
ǻ , , » ) -
: 0 , 1 , −1
. C N
. -
.
Case11. (ѻ , ǻ
, , » ) -
: 1 , −1 , 2
180◦. C N 1
N 2 .
.
Case12. : 1 -
R, 2 D = 2 R, 3 L = 2π R, 4 -
S = π R2. .
( ).
π 3.14.
24
. . . Programming Taskbook 4
Case13. -
: 1- a, 2 c=a 
, 3-
h, (h = c /2), 4 S = c h /2.
.
( ).
Case14. -
: 1 a, 2 R 1
(R 1= a 
/6), 3 R 2 (R 2= 2 R 1), 4
S = a 2 /4. .
(
).
Case15. : 1 ,
2 , 3 , 4 . , ,
: 11 , 12 , 13 , 14 .
: N (6 ≤ N ≤ 14) M
(1 ≤ M ≤ 4).
, , . .
Case16. 2069, ( ).
- , -
, : 20 , 32
, 41 .
Case17. 1040, -
. -
, -
, : 18 ,
23 , 31 -
.
Case18◦. 100999. -
, : 256 , 814 -
.
Case19. 60- , 12-
, : , ,
, . -
: , , , , , , , , ,
, . ,
1984 : .
Case20. : D () M (), -
. , : -
(20.118.2), (19.220.3), (21.319.4), (20.4
20.5), (21.521.6), (22.622.7), (23.722.8), -
(23.822.9), (23.922.10), (23.1022.11), -
(23.1121.12), (22.1219.1).
For1. K N (N > 0). N K.
For2. A B (A < B).
, A B ( A B),
N .
For3. A B (A < B).
, A B ( A B),
N .
For4. 1 . 1,
2,..., 10 .
For5◦. 1 . 0.1,
0.2,..., 1 .
For6. 1 . 1.2,
1.4,..., 2 .
For7. A B (A < B).
A B .
For8. A B (A < B).
A B .
For9. A B (A < B).
A B .
For10. N (> 0).
1 + 1/2 + 1/3 +... + 1/ N
( ).
For11. N (> 0).
N 2+ (N + 1)2+ (N + 2)2+... + (2 N)2
( ).
For12◦. N (> 0).
1.1 1.2 1.3 ...
26
(N ).
. . . Programming Taskbook 4.6
For13◦. N (> 0).
1.1 − 1.2 + 1.3 −...
(N , ). .
For14. N (> 0). ,
:
N2 = 1 + 3 + 5 +... + (2 N − 1).
-
( 1
N).
For15◦. A N (> 0). A -
N:
AN = A A ... A
( A N ).
For16◦. A N (> 0).
, A 1 N.
For17. A N (> 0).
,
1 + A + A 2+ A 3+... + A N.
For18. A N (> 0).
,
1 − A + A 2− A 3+... + (−1)N A N.
.
For19◦. N (> 0).
N! = 12... N
(N). , -
.
For20◦. N (> 0). ,
1! + 2! + 3! +... + N!
( N! N
1 N: N! = 12... N). -
,
.
For21. N (> 0). ,
1 + 1/(1!) + 1/(2!) + 1/(3!) +... + 1/(N!)
( N! N
1 N: N! = 12... N). -
e = exp(1).
For22. X N (> 0).
1 + X + X 2 /(2!) +... + X N /(N!)
(N! = 12... N).
exp X.
For23. X N (> 0).
X − X 3/(3!) + X 5/(5!) −... + (−1)N X 2N+1/((2 N +1)!)
(N! = 12... N).
sin X.
For24. X N (> 0).
1 − X 2/(2!) + X 4/(4!) −... + (−1)N X 2N/((2 N)!)
(N! = 12... N).
cos X.
For25. X (| X | < 1) N (> 0).
X − X 2/2 + X 3/3 −... + (−1)N-1 X N/ N.
ln -
1 + X.
For26. X (| X | < 1) N (> 0).
X − X 3/3 + X 5/5 −... + (−1)N X /(2 N +1).
arctg
X.
For27. X (| X | < 1) N (> 0).
X + 1 X 3/(23) + 13 X 5/(245) +... +
+ 13...(2 N −1) X 2N+1/(2∙4...(2 N)(2 N +1)).
arcsin
X.
For28. X (| X | < 1) N (> 0).
28
. . . Programming Taskbook 4.6
1 + X /2 − 1 X 2/(24) + 13 X 3/(246) −... +
+ (−1)N-113...(2 N −3) X N /(24...(2 N)). 
For29. N (> 1) :
A, B (A < B). [ A, B ] N . H
,
A, A + H, A + 2 H, A + 3 H,..., B,
[ A, B ].
For30. N (> 1) :
A, B (A < B). [ A, B ] N . H
, F (X) = 1 − sin(X)
, [ A, B ]:
F (A), F (A + H), F (A + 2 H),..., F (B).
For31. N (> 0). A K
:
A 0= 2,
A K= 2 + 1/ A K−1, K = 1, 2,....
A 1, A 2,..., A N.
For32. N (> 0). A K
:
A 0= 1,
A K= (A K−1 + 1)/ K, K = 1, 2,....
A 1, A 2,..., A N.
For33◦. N (> 1). F K
( ) :
F 1= 1,
F 2= 1,
F K= F K−2 + F K−1, K = 3, 4,....
F 1, F 2,..., F N.
For34. N (> 1). A K
:
A 1= 1,
A 2= 2,
A K= (A K−2 + 2 A K−1)/3, K = 3, 4,....
A 1, A 2,..., A N.
For35. N (> 2). A K -
:
A 1 = 1,
A 2 = 2,
A 3 = 3,
A K= A K−1 + A K−2 − 2 A K−3, K = 4, 5,....
A 1, A 2,..., A N.
For36◦. N K.
1K+ 2K+... + N K.
,
-
.
For37. N (> 0).
11 + 22 +... + N N.
,
-
.
For38. N (> 0).
1N+ 2N-1+... + N 1.
,
-
.
For39. A B (A < B).
A B ;
, (, 3 3 ).
For40. A B (A < B). A B
; A 1 , A + 1
2 . .
While1◦. A B (A > B). A
B (
). ,
A.
While2◦. A B (A > B). A -
B ( -
). ,
B, A.
While3. N K.
, N K,
30
. . . Programming Taskbook 4.6
.
While4◦. N (> 0). 3,
TRUE, FALSE.
While5. N (> 0), 2:
N = 2K. K .
While6. N (> 0). N:
N!! = N (N −2)(N −4)...
( 2, N , 1, N -
). , -
-
.
While7◦. N (> 0).
K, N: K2 > N.
.
While8. N (> 0). K,
N: K 2 ≤ N.
.
While9. N (> 1). K,
3K > N.
While10. N (> 1). K,
3K < N.
While11◦. N (> 1). K,
1 + 2 +... + K N,
.
While12◦. N (> 1). K,
1 + 2 +... + K N,
.
While13. A (> 1). K,
1 + 1/2 +... + 1/ K A, .
While14. A (> 1). K,
1 + 1/2 +... + 1/ K A, .
While15. 1000 . -
P (P
, 0 < P < 25). P ,
1100 ., -
K ( ) S (
).
While16. - ,
10 . P -
(P , 0 < P < 50).
P ,
200 , K ()
S ( ).
While17. N (> 0).
, ,
( ).
While18. N (> 0).
, .
While19. N (> 0). -
, , N
.
While20. N (> 0).
, N
2. , TRUE, FALSE.
While21. N (> 0).
, N
. , TRUE,
FALSE.
While22◦. N (> 1). ,
, 1 , TRUE,
FALSE.
While23◦. A B.
(), :
(A, B) = (B, A mod B), B 6= 0;
(A, 0) = A,
mod .
While24. N (> 1). F K
:
F 1= 1,
F 2= 1,
F K= 
+ 
, K = 3, 4,....
, N . ,
TRUE, FALSE.
While25. N (> 1). , N
( While24).
32
. . . Programming Taskbook 4.6
While26. N (> 1), : N = F K
( While24).
