S GD& T TNH BC LIấU KIM TRA HC Kè II NM HC 2009-2010 MễN: Toỏn ( gm 1 trang) Lp: 11 Thi gian lm bi: 90 phỳt ( Khụng k thi gian giao ) Ho, tờn thớ sinh: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . S bỏo danh: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . : PHN CHUNG: (7 im) Cõu 1. (1,0) Tỡm : 3 3 10 3 lim 2 7 n n n + + Cõu 2. (1,0) Tỡm : 2 1 lim 1 x x x x Cõu 3. (1,0) ' ' ( ) 2010 cos ( ) ( ) 0 Cho f x x x Tỡm f x vaứ giaỷi phửụng trỡnh f x = + + = Cõu 4. (1,0) Vit phng trỡnh tip tuyn ca th hm s y = x 3 4x 2 + 4x bit tip tuyn y song song vi ng thng: y = 7x + 5 Cõu 5. (3,0) Cho hỡnh chúp S.ABCD cú ỏy ABCD l hỡnh thang vuụng ti A v B vi AB = BC = 2 AD = a v SA (ABCD) , SA = 6a a) Chng minh rng: SAB v SBC l cỏc tam giỏc vuụng b) Xỏc nh v tớnh gúc gia mp(SCD) v mp(ABCD) c) Gi E, F ln lt l hỡnh chiu vuụng gúc ca im A lờn SD v SC. ng thng EF ct mp(ABCD) ti G. Chng minh rng: AF SD v ba im A, B, G thng hng PHN T CHN: ( 3im) Phn 1: Cõu 1. (1,0) Tỡm: 3 2 2 lim(2 7) x x x + Cõu 2. (2,0) Cho hm s 2 ( ) 2 16cos os2y f x x x c x= = + a) Tớnh ' '' ' '' ( ), ( ) , (0) , ( )f x f x roi suy ra f f b) Gii phng trỡnh: '' ( ) 0f x = Phn 2: Cõu 1. (1,0) Tỡm cp s nhõn cú 6 s hng, bit rng tng ca nm s hng u l 31 v tng ca nm s hng sau l 62 Cõu 2. (1,0) Tỡm o hm ca hm s: 1 cot cot x x y x + = Cõu 3. (1,0) Tỡm o hm cp hai ca hm s: 2 2 tan 2 1 tan 2 x y x ữ = ữ ữ ữ Ht . S GD& T TNH BC LIấU KIM TRA HC Kè II NM HC 2009 -2010 MễN: Toỏn ( gm 1 trang) Lp: 11 Thi gian lm bi: 90 phỳt ( Khụng k thi gian giao ) Ho,. 3 lim 2 7 n n n + + Cõu 2. (1,0) Tỡm : 2 1 lim 1 x x x x Cõu 3. (1,0) ' ' ( ) 2010 cos ( ) ( ) 0 Cho f x x x Tỡm f x vaứ giaỷi phửụng trỡnh f x = + + = Cõu 4. (1,0) Vit phng. a) Tớnh ' '' ' '' ( ), ( ) , (0) , ( )f x f x roi suy ra f f b) Gii phng trỡnh: '' ( ) 0f x = Phn 2: Cõu 1. (1,0) Tỡm cp s nhõn cú 6 s hng, bit rng tng