Đề KSCL lần 3 Toán 12 năm 2022 – 2023 trường THPT Nguyễn Viết Xuân – Vĩnh Phúc
giới thiệu đến quý thầy, cô giáo và các em học sinh lớp 12 đề thi khảo sát chất lượng lần 3 môn Toán 12 năm học 2022 – 2023 trường THPT Nguyễn Viết Xuân, tỉnh Vĩnh Phúc; đề thi mã đề 121, hình thức trắc nghiệm với 50 câu, thời gian làm bài: 90 phút, không kể thời gian phát đề.
Trích dẫn đề KSCL lần 3 Toán 12 năm 2022 – 2023 trường THPT Nguyễn Viết Xuân – Vĩnh Phúc:
+ Khi xây nhà, cô Ngọc cần xây một bể đựng nước mưa có thể tích 3 V 6m dạng hình hộp chữ nhật có chiều dài gấp ba lần chiều rộng, đáy và nắp và các mặt xung quanh đều được đổ bê tông, cốt thép. Phần nắp bể để hở một khoảng hình vuông có diện tích bằng 2 9 diện tích nắp bể. Biết rằng chi phí cho 2 1m bê tông cốt thép là 1.000.000 đ. Tính chi phí thấp nhất mà cô Ngọc phải trả khi xây bể (làm tròn đến hàng trăm nghìn)?
+ Cho hình lập phương ABCD A B C D cạnh a. Các điểm M N P theo thứ tự đó thuộc các cạnh B B C D D A sao cho 3 a BM C N DP. Tìm diện tích thiết diện S của hình lập phương khi cắt bởi mặt phẳng MNP.
+ Trong không gian với hệ trục tọa độ Oxyz, cho mặt cầu 2 2 2 S x y z x y z 2 4 2 3 0 và mặt phẳng 2 2 14 0 P x y z. Điểm M thay đổi trên S, điểm N thay đổi trên P. Độ dài nhỏ nhất của MN bằng?
Đề kiểm tra Toán 12 lần 2 năm 2022 – 2023 trường THPT chuyên Vĩnh Phúc
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