Đề kiểm tra cuối học kì 1 môn Toán lớp 7 năm 2021-2022 có đáp án - Phòng GD&ĐT Thiệu Hóa

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“Đề kiểm tra cuối học kì 1 môn Toán lớp 7 năm 2021-2022 có đáp án - Phòng GD&ĐT Thiệu Hóa” là tư liệu tham khảo hữu ích dành cho các bạn học sinh lớp 7 nhằm giúp bạn chuẩn bị thật tốt cho kì kiểm tra cuối học kì sắp diễn ra. Cùng tham khảo, luyện tập với đề thi để nâng cao khả năng giải bài tập nhanh và chính xác nhé! Chúc các bạn kiểm tra đạt kết quả cao!

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PHÒNG GIÁO DỤC VÀ ĐÀO TẠO ĐỀ KIỂM TRA CUỐI HỌC KÌ I THIỆU HOÁ NĂM HỌC 2021 - 2022 Môn: Toán – Lớp 7 Số báo danh: ……………… (Thời gian làm bài 90 phút) Số phách Trường:…………….…………….………Lớp…………… Giám thị số 1:………….....….……………. Họ tên:………………………………………….............…….. Giám thị số 2:……………......……………. ----------------------Chủ tịch hội đồng chấm thi cắt phách theo đường kẻ này------------------------ Điểm của bài thi Số phách Giám khảo số 1:…………….……………. 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: 10  −27  b)  − +  : +  − +  : 3 2 5 1 1 5 a) . 3  2   4 3  11  4 3  11 1 3 7 1 c) . + . 3 5 5 3 Bài 2: (2 điểm). Tìm x biết: 3 2 1 2 a) −x= b) +x = 4 5 2 5 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) ADC = ECD b) DE ⊥ AB c) CED = ABC x y z t Bài 5: (1,0 điểm). Cho dãy tỉ số bằng nhau: = = = y + z +t z +t + x t + x+ y x+ y + z x + y y + z z +t t + x Chứng minh rằng: P = = + + có giá trị nguyên. z +t t + x x+ y y + z BÀI LÀM ....................................................................................................................................................................................................................................................... ....................................................................................................................................................................................................................................................... ....................................................................................................................................................................................................................................................... ....................................................................................................................................................................................................................................................... ....................................................................................................................................................................................................................................................... ....................................................................................................................................................................................................................................................... .......................................................................................................................................................................................................................................................
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PHÒNG GD&ĐT THIỆU HOÁ ĐÁP ÁN ĐỀ KHẢO SÁT CL CUỐI HỌC KÌ I NĂM HỌC 2021 - 2022 Môn : TOÁN – Lớp 7 Biểu Câu Đáp án điểm 10  −27  10.( −27) 0,5 đ Câu1: . = = −45 3  2  3.2 a  3 2 1 1 5 5 0,75 đ b  − + − +  : = ( −1 + 1) : = 0  4 3 4 3  11 11 1 3 7 1 . + . =  +  = . = .2 = 1 3 7 1 10 1 2 0,75 đ c 3 5 5 3 3 5 5  3 5 3 3 3 2 a. − x = 4 5 0,5 đ 3 2 x= − 4 5 0,5 đ Câu2: 7 a x= 20 7 Vậy x = 20 1 2 b. +x = 2 5 1 2  +x= 0,25 đ 2 5 1 2 2 1 −1 0,25 đ b Trường hợp 1: +x= x= − = 0,25 đ 2 5 5 2 10 1 2 2 1 −9 0,25 đ Trường hợp 2: + x = −  x = − − = 2 5 5 2 10 −1 −9 Vậy x = ; x= 10 10 Gọi số đo ba góc của tam giác là a, b, c (a ,b , c >0 ) 0,25đ Ta có: a = b = c 4 6 8 Và a + b + c = 1800 (Tổng ba góc của tam giác) 0,25đ Áp dụng tính chất dãy tỉ sô bằng nhau ta có: a b c a + b + c 1800 0,25đ = = = = = 100 Câu 3 4 6 8 4+6+8 18 a 0,25đ  = 100  a = 100.4 = 400 4 b = 100  a = 100.6 = 600 0,25đ 6 c = 100  c = 100.8 = 800 0,25đ 8 Vậy: Số đo ba góc của tam giác đó là: 400, 600, 900.
Câu 4 0,5đ HS vẽ hình, viết GT, KL Xét tam giác ADC và tam giác DCE có: DC chung 0,25đ a AD = CE (GT) 0,25đ ADC = DCE = 900 0,25đ  ADC = ECD ( c − g − c ) 0,25đ Ta có: ADC = ECD ( cmt )  ACD = EDC ( 2 góc tương ứng) 0,25đ 0,25đ Vì DC cắt AC và DE mà trong các góc tạo thành có cặp góc ACD và 0,25đ EDC nằm ở vị trí hai góc so le trong và bằng nhau nên AC / / DE ( 0,25đ b Dấu hiệu nhận biết hai đường thẳng song song)  AB ⊥ AC Mặt khác:   DE ⊥ AB ( Quan hệ từ vuông góc đến song  AC / / DE song) Xét tam giác BAD vuông tại D có: DBA + BAD = 900 (1) Mà CAD + BAD = 900 (Tam giác ABC vuông) (2) 0,5đ Từ (1), (2)  CAD = ABD (3) c 0,25đ Mặt khác: ADC = DCE ( cmt )  DAC = DEC ( 2 góc tương ứng)(4) Từ (3) và (4)  ABD = DEC hay ABC = DEC 0,25đ x y z t Ta có: = = = y + z +t z +t + x t + x+ y x+ y + z x y z t  +1 = +1 = +1 = +1 y + z +t z +t + x t +x+ y x+ y+z x + y + z +t x + y + z +t x + y + z +t x + y + z +t 0,25 đ  = = = y + z +t z +t + x t +x+ y x+ y+z Trường hợp 1: x + y + z + t = 0 Câu 5  x + y = −z − t; y + z = −t − x; z + t = − y − x; t + x = − y − z 0,25 đ − z − t −t − x − x − y − y − z P = + + + = −4 Z (thoả mãn). z +t t+x x+ y y+z Trường hợp 2: x + y + z + t  0 0,25 đ  y + z +t = z +t + x = t + x + y = x + y + z  x = y = z = t Thay các biến y, z, t bởi x ta được: x+x x+x x+x x+x P= + + + = 4  Z (thoả mãn) 0 ,25 đ x+x x+x x+x x+x
x+ y y + z z +t t + x Vậy P = + + + có giá trị nguyên z +t t + x x+ y y + z Chú ý: Học sinh làm cách giải khác nếu đúng vẫn cho điểm tối đa.