ĐỀ KIỂM TRA HỌC KỲ 1 - MÔN TOÁN - KHỐI 11 - Trường THPT Mạc Đĩnh Chi

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Trường THPT Mạc Đĩnh Chi

ĐỀ KIỂM TRA HỌC KỲ1

MÔN: TOÁN _ KHỐI 11

( 11A2 đến 11A17)

thời gian : 90 phút

Bài 1: (3điểm) Giải các phương trình sau:

a) 
b) 
c)
d)

.

Bài 2: (1điểm)

Tìm số hạng không chứa x trong khai triển  ,    x≠0

Bài 3: (2điểm)

a) Một bình có 12 viên bi trong đó có 3 bi đỏ , 5 bi vàng, 4 bi xanh . Lấy ngẫu nhiên 4  viên bi . Tính xác suất để trong 4 bi được chọn có nhiều nhất 1 bi vàng.

b) Số quyển sách của một học sinh mua tại một cửa hàng văn phòng phẩm là một biến ngẫu nhiên rời rạc X có bảng phân bố xác suất như sau:

 

X

0

1

2

3

4

5

6

P

0,1

0,3

0,2

 

0,1

0,1

0,1

Tính P(X=3) và phương sai của biến ngẫu nhiên X.

Bài 4: (1điểm)

Trong mặt phẳng Oxy, cho đường tròn (C ) có phương trình :  x2 + y2 – 4x + 6y – 3 = 0 . Tìm phương trình ảnh của ( C) qua phép đối xứng tâm I(-3 ;2)

Bài 5: (3điểm)

Cho hình chóp S.ABCD có đáy ABCD là hình thang (đáy lớn là AB). Biết AB = 2CD. Gọi M là trung điểm SB.

a)      Tìm giao tuyến của mp(MCD) và mp(SAB).

b)      Tìm giao điểm I của DM với mp(SAC).

c)      Gọi O là giao điểm của AC và BD. G là trọng tâm tam giác  SBC.

 Chứng minh rằng GO // mp(SCD).

----------Hết--------

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