De ktra TOAN 12 giua hk2 2016
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<span class='text_page_counter'>(1)</span>Họ và tên Học sinh Điểm. ___________________________________________ ___________________________________________. Lời phê của giáo viên. ___________________________________________ ___________________________________________ ĐỀ KIỂM TRA GIỮA HỌC KÌ II NĂM 2016 MÔN: TOÁN Thời gian làm bài: 60 phút (không kể thời gian phát đề). ___________________________________________ ___________________________________________ __________________________________________. Câu 1: (3,5 điểm) 2 x 1 Cho hàm số: y = x 1 (C) a) Khảo sát sự biến thiên và vẽ đồ thị (C) của hàm số b) Viết các phương trình tiếp tuyến của (C) vuông góc với đường thẳng (d): 3x – y + 1 0 c) Tính diện tích hình phẳng giới hạn bởi (C), trục tung và tiếp tuyến của (C) tại A(-2; 1) Câu 2: (2,5 điểm) Tính các tích phân sau: 2. a) I . 10. 2 x sin( x )dx 0. b) J . dx x 1. x 2 5. 1. x. 3. 1 xdx. c) K 0 Câu 3: (1 điểm) Tìm nguyên hàm của hàm số biết: 1 x3 3 x 2 3 x 1 2 x 2 x 1 , với F(1) 3 y f(x) Câu 4: (3 điểm) Trong không gian Oxyz cho các mặt phẳng: (): x – 2y + 2z + 3 0 (): 3x + y – 5z + 1 0 2 2 2 và (S): x y z 2 x 4 y 6 z 10 0 a) Tìm phương trình mặt phẳng (P) song song mặt phẳng () và tiếp xúc mặt cầu (S) b) Tìm toạ độ tiếp điểm của (P) và (S) c) Tìm phương trình mặt phẳng (Q) qua điểm M(3;-1;1) và vuông góc với hai mặt phẳng () và () HẾT ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________. ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________.
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