THI MTDT 2006(CO DAP AN)

Phòng Giáo dục Hạ Long Thi chọn học sinh giỏi cấp thành phố
----------------------------- Năm học 2005-2006
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Môn thi : Giải Toán trên máy tính CASIO
Ngày thi : 11/12/2004
Thời gian làm bài : 150 phút ( không kể thời gian giao đề )
Họ và tên thí sinh : ................................................................
Ngày sinh : ................................. Số báo danh : ...................
Nơi sinh : ..............................................................................
Học sinh trờng : ..................................................................
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Điểm bài thi : Bằng số :................. ( Bằng chữ : ....................................................)
Chữ ký của hai ngời chấm thi : : 1: .................................... 2 : ...............................
* Qui định:
- Thí sinh làm bài ngay vào đề thi này . Đề thi gồm 02 tờ . ( Tờ số 1 )
- Bài thi không đợc viết bằng mực đỏ, bút chì; Không viết bằng hai thứ mực; Phần viết hỏng,
ngoài cách dùng thớc để gạch chéo, không đợc tẩy xóa bằng bất cứ cách gì kể cả bút xóa .
- Các bài ở những bớc dùng máy tính để tìm kết quả phải viết qui trình bấm phím và nói rõ dùng
máy Casio nào .
- Thí sinh chỉ đợc dùng máy tính Casio : fx - 500A ; fx - 500 MS ; fx - 570 MS .
- Nếu không nói gì thêm, hãy tính chính xác đến 6 chữ số .
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Bài 1 :
Tính :
A = ( 649
2
+ 13 . 180
2
)
2
- 13 . ( 2 . 649 . 180)

2

B =
.3
33
33
3
2520245
+
C =
3
3
3
3
3
3
26
21
18
21
54
2126200

+
+
+
++
Bài 2 :
Cho dãy số : U
n

=
2
2
)53()53(

++
n
nn
với
;...3;2;1;0
=
n
1) Tính 5 số hạng đầu tiên của dãy này .
2) Lập một công thức truy hồi để tính U
1
+
n
theo U
n
và U
1

n
.
3) Viết qui trình bấm phím liên tục để tính U
1
+
n
trên máy tính Casio .
Bài làm :

1)
1
Chữ ký giám thị
1: ...................
2: ...................
Số phách
Số phách
A =
=
B =
C =
U
0
=
U
1
=
Kh«ng viÕt vµo phÇn
g¹ch chÐo nµy
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2)......................................................................................................................................................................
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2
U
2
= U
3
=
U
4
=
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Bµi 3 :
Cho tam gi¸c ABC vu«ng t¹i A, ®êng cao AH . BiÕt AB = 0,7 ; BC = 1,6 .
TÝnh : AC ; AH ; BH ; CH .
Bµi lµm :
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Bµi 4 :
3
Cho ®êng trßn t©m O, b¸n kÝnh b»ng 5 cm . Hai ®êng kÝnh AB vµ CD vu«ng gãc víi
nhau, M lµ trung ®iÓm cña OA ; CM c¾t ®êng trßn t¹i N . E lµ trung ®iÓm cña OB .
TÝnh : a) DiÖn tÝch tam gi¸c CNE .
b) Gãc CEN .

Bµi lµm :
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Phßng Gi¸o dôc H¹ Long Thi chän häc sinh giái cÊp thµnh phè
----------------------------- N¨m häc 2005-2006
4
------------------------
Môn thi : Giải Toán bằng máy tính Casiô
Ngày thi : 11/12/2004
Thời gian làm bài : 150 phút ( không kể thời gian giao đề )
Họ và tên thí sinh : ................................................................
Ngày sinh : ................................. Số báo danh : ...................
Nơi sinh : ..............................................................................
Học sinh trờng : ..................................................................
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( Tờ số 2 )
-----------------
Bài 5 :
a) Viết qui trình bấm phím để tính :
S = 1
2
+ 2
2
+ 3
2
+ 4
2
+ + 10
2
b) Không dùng máy tính, trình bày lời giải tính :
A = 2
2

+ 4
2
+ 6
2
+ 8
2
+ + 20
2
Bài làm
a)......................................................................................................................................................................
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5
Chữ ký giám thị
1: ...................
2: ...................
Số phách

Số phách