HSGIOI 67

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Phòng GD & ĐT Tĩnh Gia
Trừơng THCS hảI yến
Đề thi học sinh giỏi cấp trờng
Thời gian làm bài : 120 phút.
Môn : Toán Khối 7
Họ và tên :........................ Lớp..............
Điểm Nhận xét của giáo viên
Đề Bài
Câu I : So sánh A và B biết :
A =
[ ]
86,47.25,1.
5
4
7.25,1.)8,0(7.8,0
2

+
B =
( )
( )
9
8
.65,169,18
4

5
.29,009,1

Câu II : 1 . Tìm n

N Biết
4232

n
2 . Tìm
x
biết : a .
04
1978
30
1973
35
1968
40
1963
45
=+

+

+

+

xxxx
b .
11
3
55.53
20
.........
17.15
20
15.13
20
13.11
20
=
x

Câu III : Tìm
zyx ,,
biết :
5
4
4
3
3
2 zxx
==
và
49
=++
zyx

Câu IV: Tìm giá trị nguyên của
x
và
y
thỏa mãn :
13
=+
yxxy
Câu V : Cho tam giác ABC cân tại A , kẻ đờng cao BH

AC . Gọi D là một điểm thuộc cạnh
đáy BC . Kẻ DE

AC , DF

AB .
Chứng minh rằng : DE + DF = BH .
Bài Làm
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và
092009200920
082008200820
c. Rút gọn phân số : A =
18071.530
5352.71

+
mà không cần thực hiện phép tính ở tử
Câu 2 : 1 .Tìm
zyx

,

a .
3
4
3
4
=

y
x
với
5
=
yx
b .
( )( )

22231
=+
yx
2. Cho A =
4
53
+

n
n
tìm
Zn

để A có giá trị nguyên
Câu 3 : Trên cùng một nửa mặt phẳng cho trớc có bờ chứa tia ox . vẽ hai tia oy và oz sao cho
số đo xoy= 70
0
và số đo yoz = 30
0

a . Xác định số đo của xoz .
b . Trên tia ox lấy hai điểm A và B ( điểm A không trùng với điểm O và độ dài OB lớn
hơn độ dài OA ) . Gọi M là trung điểm của OA .Hãy xác định độ dài MB với trung bình cộng độ
dài OB và AB .
Câu 4 : Tìm hai số tự nhiên a và b biết tổng BCNN với ƯCLN của chúng bằng 15 .
Bài làm
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HSGIOI 67

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