PHÒNG GIÁO DỤC VÀ ĐÀO TẠO
THIỆU HOÁ
 ĐỀ KIỂM TRA CUỐI HỌC KÌ I
NĂM HỌC 2021 - 2022

Số báo danh: ………………
Môn: Toán – Lớp 7
(Thời gian làm bài 90 phút)

Trường:…………….…………….………Lớp……………
Họ tên:………………………………………….............……..
Giám thị số 1:………….....….…………….
Giám thị số 2:……………......…………….
Số phách

----------------------Chủ tịch hội đồng chấm thi cắt phách theo đường kẻ này------------------------

Điểm của bài thi
Giám khảo số 1:…………….…………….
Số phách

Bằng số
Bằng chữ





Giám khảo số 2:…………………….…….


( Học sinh làm bài trực tiếp vào tờ đề thi này )
ĐỀ BÀI
Bài 1: (2 điểm). Thực hiện các phép tính sau:
a)
b)

c)


Bài 2: (2 điểm). Tìm x biết:
a)
b)

Câu 3: (1,5 điểm). Số đo ba góc của một tam giác tỉ lệ với 4;6;8. Tính số đo mỗi góc của tam giác đó?
Câu 4: (3,5 điểm). Cho tam giác ABC vuông tại A, kẻ AD vuông góc với BC (D thuộc BC). Trên đường thẳng vuông góc với BC tại C lấy điểm E sao cho CE = AD (E và A thuộc hai mặt khác phía bờ chứa cạnh DC). Chứng minh rằng:
a)

b)

c)

Bài 5: (1,0 điểm). Cho dãy tỉ số bằng nhau:

Chứng minh rằng:
có giá trị nguyên.
BÀI LÀM

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Học sinh không viết vào phần gạch chéo này

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PHÒNG GD&ĐT THIỆU HOÁ ĐÁP ÁN ĐỀ KHẢO SÁT CL CUỐI HỌC KÌ I
NĂM HỌC 2020 - 2021

Môn : TOÁN – Lớp 7

Câu
Đáp án
Biểu điểm

Câu1: a


0,5 đ



b


0,75 đ


c


=
=

0,75 đ


Câu2: a
a.



Vậy



0,5 đ

0,5 đ

b
b.



Trường hợp 1:

Trường hợp 2:

Vậy
;




0,25 đ
0,25 đ
0,25 đ
0,25 đ

Câu 3

Gọi số đo ba góc của tam giác là a, b, c (a ,b , c >0 )
Ta có:

Và a + b + c = 1800 (Tổng ba góc của tam giác)
Áp dụng tính chất dãy tỉ sô bằng nhau ta có:


(





Vậy: Số đo ba góc của tam giác đó là: 400, 600, 900.

0,25đ


0,25đ

0,25đ

0,25đ

0,25đ

0,25đ


Câu 4

HS vẽ hình, viết GT, KL
0,5đ

a
 Xét tam giác ADC và tam giác DCE có:
DC chung
AD = CE (GT)





0,25đ
0,25đ
0,25đ
0,25đ

b
 Ta có:
( 2 góc tương ứng)
Vì DC cắt AC và DE mà trong các góc tạo thành có cặp góc
và
nằm ở vị trí hai góc so le trong và bằng nhau nên
( Dấu hiệu nhận biết hai đường thẳng song song)
Mặt khác:
( Quan hệ từ vuông góc đến song song)
0,25đ
0,25đ
0,25đ
0,25đ


c
 Xét tam giác BAD vuông tại D có:
(1)
Mà
(Tam giác ABC vuông) (2)
Từ (1), (2)
(3)
Mặt khác:
( 2 góc tương ứng)(4)
Từ (3) và (4)


0,5đ

0,