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Copy of DeToanA_DH_2010-www.mathvn.com

# Copy of DeToanA_DH_2010-www.mathvn.com - THI TUYN SINH I HC...

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B GIÁO D C VÀ Đ ÀO T O ĐỀ CHÍNH TH C ĐỀ THI TUY N SINH ĐẠ I H C N Ă M 2010 Môn: TOÁN; Kh i: A Th i gian làm bài: 180 phút, không k th i gian phát đề I. PH N CHUNG CHO T T C THÍ SINH (7,0 đ i m) Câu I (2,0 đ i m) Cho hàm s y = x 3 2 x 2 + (1 m ) x + m (1), m là tham s th c. 1. Kh o sát s bi ế n thiên và v đồ th c a hàm s khi m = 1. 2. Tìm m để đồ th c a hàm s (1) c t tr c hoành t i 3 đ i m phân bi t có hoành độ x 1 , x 2 , x 3 tho mãn đ i u ki n 2 2 2 1 2 3 x x x + + < 4. Câu II (2,0 đ i m) 1. Gi i ph ươ ng trình (1 sin cos2 )sin 1 4 cos 1 tan 2 x x x x x π + + + = + . 2. Gi i b t ph ươ ng trình 2 1 2( 1 x x x x + ) 1. Câu III (1,0 đ i m) Tính tích phân I = 1 2 2 0 2 d 1 2 x x x x e x e x e + + + . Câu IV (1,0 đ i m) Cho hình chóp S . ABCD đ áy ABCD là hình vuông c nh a . G i M
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