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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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 0,25đ 0,25đ
Câu 5	Ta có: Trường hợp 1: (thoả mãn). Trường hợp 2: Thay các biến bởi ta được: (thoả mãn) Vậy có giá trị nguyên	0,25 đ 0,25 đ 0,25 đ 0 ,25 đ
Chú ý: Học sinh làm cách giải khác nếu đúng vẫn cho điểm tối đa.