Đề kiểm tra Đại số 11

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Họ và tên :............................................... Đề kiểm tra
Lớp : 
Câu 1. (3điểm) Giải các phương trình lượng giác sau :
 1, 
 2, cos2x + 5 = 2(2 – cosx)(sinx – cosx)
Câu 2. (5điểm). Cho hình chóp S.ABCD có đáy ABCD là hình bình hành . Gọi I là trọng tâm tam giác SAB và M là trung điểm của AB. Lấy N thuộc AD sao cho : AD = 3AN. 
a, Tìm giao tuyến của mp (SAD) và mp(SBC) , mp(SAB) và mp(SDC).
b, Chứng minh NI // (SCD) .
c, Gọi (a) là mặt phẳng chứa NI và song song với SA. Xác định thiết diện của mp (a) khi cắt hình chóp S.ABCD.
Câu 3. (2điểm)Tìm hệ số của x5 trong khai triển sau : (1 – 2x)n biết hệ số của x2 trong khai triển là 84.
Bài làm
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Họ và tên :............................................... Đề kiểm tra
Lớp : 
Câu 1.(3điểm) Giải các phương trình lượng giác sau :
 1, 3sin2x + 8sinx.cosx + 4cos2x = 0 
 2, 
Câu 2. (5điểm)Cho hình chóp S.ABCD có đáy ABCD là hình bình hành . Gọi I là trọng tâm tam giác SAB và M là trung điểm của AB. Lấy N thuộc AD sao cho : AD = 3AN. 
a, Tìm giao tuyến của mp (SAD) và mp(SBC) , mp(SAB) và mp(SDC).
b, Chứng minh NI // (SCD) .
c, Gọi (a) là mặt phẳng chứa NI và song song với SA. Xác định thiết diện của mp (a) khi cắt hình chóp S.ABCD.
Câu 3. (2điểm) Tìm số hạng không chứa x trong khai triển 
Bài làm
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