ktra hoc ki 1 lop 11 20152016 2
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<span class='text_page_counter'>(1)</span>KIỂM TRA HỌC KÌ I LỚP 11 NĂM 2015 – 2016 ĐỀ 3. MÔN: TOÁN Thời gian làm bài: 90 phút (không kể thời gian phát đề). Bài 1: Giải các phương trình lượng giác: a) ( cos 2 x − sin 2 x ) − 2 √ 3 sin x . cos x=2 b) 1 + 3cotx – 2sin2x = 0 Bài 2: Tìm số nguyên dương n, biết rằng hệ số của xn-1 trong khai triển. (. x−. 1 4. n. ). bằng 33. Bài 3: Cho một hộp kín chứa 7 viên bi đỏ, 6 viên bi đen và 5 viên bi trắng a) Có bao nhiêu cách lấy 3 viên bi cùng màu b) Lấy ngẫu nhiên đồng thời 5 viên bi trong hộp trên. Tính xác suất để 5 viên bi lấy được có đủ màu, trong đó số bi đỏ là chẵn u1 – u4 + u6 = 19 Bài 4: Tìm số hạng đầu, công sai và tổng 40 số hạng đầu của cấp số cộng (un), biết: u3 – u5 + u6 = 17 Bài 5: Chứng minh với mọi số nguyên dương, ta có: 13 + 23 + 33 + 43 + …+ n3 =. n2 ( n+1 )2 4. Bài 6: Cho hình chóp S.ABCD, đáy ABCD là hình thang có đáy lớn là AD, gọi O là giao điểm 2 đường chéo của hình thang ABCD. Lấy M, N lần lượt là trung điểm của AB và CD, trong đoạn SB lấy điểm Q sao cho MQ // SA a) b) c) d). Tìm giao tuyến của (SAB) với (SCD); (SBC) với ( MNQ) Tìm giao điểm của DQ với mặt phẳng (SAC) Chứng minh rằng: MN//(SBC) Tìm thiết diện tạo bởi (MNQ) với hình chóp S.ABCD HẾT 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