đề thi thử thpt quốc gia môn toán trường trường gia bình số 1 bắc ninh

>> http://tuyensinh247.com/ - Học là thích ngay! 1 SỞ GD & ĐÀO TẠO BẮC NINH ĐỀ THI THỬ THPT QUỐC GIA TRƯỜNG THPT GIA BÌNH SỐ 1 MÔN: TOÁN Thời gian làm bài 180 phút Câu 1 ( ID: 82450 ) (2 điểm) Cho hàm số 23 23  xxy 1. Khảo sát sự biến thiên và vẽ đồ thị (C) của hàm số đã cho. 2. Tìm tất cả các giá trị của tham số m để đường thẳng 2)2(  xmy cắt đồ thị (C) tại 3 điểm phân biệt A(2;-2), B, D sao cho tích các hệ số góc của tiếp tuyến tại B và D với đồ thị (C) đạt giá trị nhỏ nhất. Câu 2 ( ID: 82451 ) (1 điểm). Giải phương trình:     2 cos . cos 1 2 1 sin sin cos    xx x xx Câu 3 ( ID: 82452 ) ( 1 điểm). Giải phương trình 2 2 2 4 4 2 8log 9 3 2log ( 3) 10 log ( 3)x x x      Câu 4 ( ID: 82453 )( 1 điểm). Tính tổng 0 1 2 2014 2014 2014 2014 2014 2 3 2015S C C C C     Câu 5 ( ID: 82454 ) (1 điểm). Tính giới hạn sau lim log (1 sin3 ) cos2x 0 xx x   Câu 6 ( ID: 82455 ) (1 điểm). Cho hình lăng trụ đứng ABC.A’B’C’ có 0 , 2 , 120AC a BC a ACB   và đường thẳng 'AC tạo với mặt phẳng   ''ABB A góc 0 30 . Tính thể tích khối lăng trụ đã cho và khoảng cách giữa hai đường thẳng ' , 'A B CC theo a. Câu 7 ( ID: 82456 )(1 điểm). Trong mặt phẳng Oxy, cho hình thoi ABCD có tâm   3;3I và 2AC BD . Điểm 4 2; 3 M    thuộc đường thẳng AB , điểm 13 3; 3 N    thuộc đường thẳng CD . Viết phương trình đường chéo BD biết đỉnh B cóhoành độ nhỏ hơn 3. Câu 8 ( ID: 82457 ) (1 điểm). Trong mặt phẳng Oxy, cho hình thang vuông ABCD vuông tại A và D có AB = AD < CD, điểm B(1;2), đường thẳng BD có phương trình y = 2; Biết rằng đường thẳng d: 7x – y – 25 = 0 lần lượt cắt các đoạn AD và CD theo thứ tự tại M và N sao cho BM vuông góc với BC và BN là tia phân giác của góc   . Tìm tọa độ đỉnh D, biết hoành độ của D dương. Câu 9 ( ID: 82458 ) (1 điểm). Cho ba số thực dương a, b, c thoả mãn abc = 1. Chứng minh rằng: 2 2 2 1 ( 2)(2 1) ( 2)(2 1) ( 2)(2 1) 3 a b c ab ab bc bc ac ac          . http://tuyensinh247.com/ - Học là thích ngay! 1 SỞ GD & ĐÀO TẠO BẮC NINH ĐỀ THI THỬ THPT QUỐC GIA TRƯỜNG THPT GIA BÌNH SỐ 1 MÔN: TOÁN Thời gian làm bài 18 0 phút Câu 1 ( ID: 82450 ) (2 điểm) Cho hàm số 23 23 . 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(1 điểm). Cho ba số thực dương a, b, c thoả mãn abc = 1. Chứng minh rằng: 2 2 2 1 ( 2)(2 1) ( 2)(2 1) ( 2)(2 1) 3 a b c ab ab bc bc ac ac         