8/2/2019 Toan 10AmsHa NoiHK2

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Trng THPT chuyen Ha Noi Amsterdam e kiem tra Hoc ky II Mon Toan Khoi 10 2011

Bai 1 (2 iem)

Cho f x m x m x m 21 2 1 3 3 , vi m la tham so. Tm m e :

a) ,f x x 0 b) Phng trnh : f x 0 co hai nghiem phan biet cung dng.

Bai 2 (1,5 iem)

Giai bat phng trnh : x x x x x x 2 2 25 6 2 3 7 2

Bai 3 (2 iem)

a) Rut gon bieu thc : cos .cos .cos .cossin

x x x xP

x

2 4 8

16

b) Chng minh rang gia tr cua bieu thc sau khong phu thuoc x :cos cos cosA x x x

2 2 22 2

3 3

Bai 4 (2,5 iem 3 iem)

Trong mat phang toa o Oxy cho ng tron :C x y x y 2 2 2 4 4 0 .

a) Viet phng trnh tiep tuyen vi ng tron

C i qua iem

;A 2 3 .

Tnh goc gia hai ng tiep tuyen.

b) Goi ,M N la cac tiep iem cua hai tiep tuyen ke t A en C . Viet phng trnh ng thangMN va tnh khoang cach t A en MN .

Bai 5 (2 iem 1,5 iem)

a) Trong mat phang toa o Oxy , cho tam giac ABCco nh ;A 2 1 , ng cao qua nh B cophng trnh : x y 3 7 0 va ng trung tuyen nh Cco phng trnh :x y 1 0 . Viet

phng trnh cac canh cua tam giacABC va tnh dien tch tam giac BC .

b) (danh cho cac l p tin, ly hoa, , ,T L L2 2 2

).

Tam giac co ac iem g neu thoa man:cos cos sin

cos cos sin

C B

B C C

2

2