SỞ GIÁO DỤC VÀ ĐÀO TẠO
TRƯỜNG THPT HƯỚNG HOÁ
BÀI KIỂM TRA MỘT TIẾT
MÔN : TOÁN 12 - NÂNG CAO.
Thời gian làm bài: 45 phút;
ĐIỂM
Mã đề 210
Họ, tên :..........................................................................Lớp:12A
ĐỀ RA
1. Cho khối chóp S.ABC có đường cao SA bằng 2a, tam giác ABC vuông ở C có AB = 2a,
CAB = 30
0
. Gọi H, K lần lượt là hình chiếu của A trên SC, SB.
a. Tính thể tích khối chóp S.ABC
b. Chứng minh
SBAH
⊥
c.Tính tỉ số thể tích giữa CHAB và SABC , từ đó tính thể tích H.ABC.
2. Cho tứ diện vuông ABC vuông tại O, OA = a, OB = b, OC = c. Biết A, B, C thay đổi
nhưng OA + OB + OC + AB + AC + BC = 1.Xác định a, b, c để tứ diện OABC có thể tích
lớn nhất.
BÀI LÀM :
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