THI TH I HC NM HC 2010-2011 Thi gian 180 phỳt (Khụng k thi gian giao ) I.PHN CHUNG CHO TT C TH SINH(7,0 im) x + 4mx + 4m ,(1) 1) Kho sỏt s bin thiờn v v th (C ) ca hm s (1) m = 2) Tỡm giỏ tr ca m hm s (1) cú cc tr, ng thi ba im cc tr ca th xỏc nh mt tam giỏc cú bỏn kớnh ng trũn ngoi tip bng Cõu I(2 im): Cho hm s y = Cõu II(2 im): 1)Gii phng trỡnh sau: ữsin x ữ = 4sin x sin x 2sin x 3 y (3 x 1) = 125 2)Gii h phng trỡnh sau: 2 45 x y + 75 x = y x + ( x + sin x)sin x dx (1 + sin x)sin x Cõu IV(1 im): Cho hỡnh chúp S.ABCD cú ỏy ABCD l hỡnh bỡnh hnh cú cnh AB=a,cnh AD=b,gúc ã BAD = 60 CnhSA=4a v SA vuụng gúc vi mt phng (ABCD).Trờn on SA ly im M cho AM=x (0 ... t dx v = cot x dv = sin x 2 2 x 3 3 sin x dx = x cot x|3 + cot xdx = ( x cot x + ln sin x ) |33 = + dx = + sin x dx dx = = x + cos x ữ 2cos ữ 0,25 x = tan ữ| = +... 1) cos x sin x ữ ữ = (2sin x 1)(4sin x + 1) 2 Suy : 2sin x = hoc cos x sin x = 4sin x + x = + k + )2sin x = (k Z ) x = + k + ) cos x sin x = 4sin x + 4sin x + 2sin x + sin x cos... = + k + ) cos x sin x = 4sin x + 4sin x + 2sin x + sin x cos x = (Vỡ sin x ) sin x + cos x = cos x ữ = x = + k (k Z ) 6 + k , k Z ; Vy phng trỡnh cú nghim: x = + k , k Z ; x =