SỞ GD & ĐT THANH HÓA ĐỀ KIM TRA HỌC KÌ I NĂM 2014 – 2015 SỐ 7 ĐỀ 7 MÔN TOÁN – KHỐI 11 Ngày 13 tháng 12 năm 2014 Câu 1  !"    #              − + = +  Câu 2$ % &'(!)**$*"*+*,*-*.*/0123# 45643$ 7  5 8#9:;<$75=:>5=? #@ > AB85=4C+=D>=&EFG + =D  @ 3A=DG9HG EF;E!    " + + + + + + % % %  % %− + − + − Câu 3 IJ=:K<G5>35LM.#N+O:;</5 LD4=: .EF; P J JJ JJJ  = + + + + n soá d dd d 123  3 n soá d dd d 123 =:564Q75#NJ Câu 4E<R@=S 2 2 x y 1 9 4 + = TUVC@  O@ u ( 3,4)= − r Câu 5$W % 3PXY%3=:I8<XY%IZ[=: 4  L PX  PZ!Z[![X %MZ\\PY% #I]=:5M<XT%MZ%]\\[Y I1=: <R^Z]O_PY%%M1=:I8< PY% Câu 6.(1,0 điểm)En`4J2a    $  $ "    +  n n n n n n C C C C n C n+ + + + + + = + 1bE ĐÁP ÁN V8 BIU ĐIM ĐỀ 7 – HKI ( 2014−2015) Câu 1: !"    Wcd9 e⇔ x k 4 2 x k  π π ≠ +    ≠ π  ⇔ 2 sin2x cosx 4cos x cos2x sinx + = ⇔ 2 cosx 4cos x sinx.cos2x = ⇔ f"!  !⇔ x k 2 π = + π & sin4x 1 x k 8 2 π π = ⇔ = + & #             − + = + Wcd9 e⇔ 2 x k2 3 x k  π ≠ ± + π    ≠ π  ⇔f f   ! ⇔  ! ⇔ 3x x 3x x 2cos cos 2sin cos 0 2 2 2 2 + = ⇔ = + = x 3x 3x cos 0(i);sin cos 0 (ii) 2 2 2  x cos 0 x k 2 = ⇔ = π+ π = L⇔ 3x sin 0 2 4   π + =  ÷   ⇔ 2 x k 6 3 π π = − + & Câu 2: a,E1Y75c=? −%I$75 +75=?<&(O:BM63 3 5 A 5L : E1E #7535gO:5=? −%I75g "75g3 2 4 C  −%I75=? +75=?3+ −PBM6$75'I3$h%i&`3 2 4 C .5.3! 5 jC=&3G=: 3 2 1 5 4 5 A C .C .3! 240 soá.+ = #@ > AB85=4C+=D> =&EFG +=D@ 3A=DG9HG −%I +=D@ G9HG3 2 5 C  −(G<=D@ G9H>G=: 1 6 −(G<=D@ dKG9H>G=: 5 6 ] 3GD=: 2 3 3 2 5 5 1 5 5 1250 C . 10. 6 6 7776 6     = =  ÷  ÷     EF;E!    " + + + + + + % % %  % %− + − + − E3 0 1 2 3 49 50 50 50 50 50 50 50 C C C C C C− + − + − + !f + !Z: 0 50 1 49 24 26 50 50 50 50 50 50 C C , C C , ,C C= = = P` 0 1 2 3 24 25 50 50 50 50 50 50 2C 2C 2C 2C 2C C 0− + − + + − = ⇒E 25 50 C !⇒E! 25 50 C 2 − Câu 3:IJ=:K<G5>35LM.#N+O:;<</5LD 4=:.EF; {  K J P J JJ JJJ  JJJ= + + + +  E3 8 9 u 15 S 81  =   =   ⇔ 1 1 u 7d 15 9(2u 8d) 81 2  + =   + =   ⇔ 1 1 u 7d 15 u 4d 9  + =   + =   ⇔ 1 d 2 u 1  =   =   ] 3 {  K  P     = + + + + ! { n so9 2 9 99 99 9 9   + + +       P! 2 n 2 10 10 10 n 9   + + + −   ! n 2 10 (10 1) n 9 9   − −     Câu 4: E<R@=S  2 2 x y 1 9 4 + =  TUVC@ O@ u ( 3,4)= − r Z*`∈S⇔ 2 2 x y 1 9 4 + =  Zkk*`k=:<ZT u T r ⇔ x' x 3 y' y 4  = −  = +  ⇔ x x' 3 y y' 4  = +  = −   ] 3⇔ 2 2 (x' 3) (y' 4) 1 9 4 + − + = i&`<ST u T r =:Sk 2 2 (x 3) (y 4) 1 9 4 + − + = Câu 5:% 3PXY%3=:I8<XY% IZ[=:4LPX  PZ!Z[![X %MZ\\PY% Ij=:<Y%3 KG 1 SM KA 3 SA = = ⇒Z\\Pj :Pj⊂PY%O:Z⊄PY%⇒Z\\PY% #I]=:5M<XT%MZ%]\\[Y E3 1 1 KG AG GD 2 2 = = 4j=:<] P`MY%]=:#:] 3Y\\%] (UXZ]3[=:R#4[\\Z] O:`Y[\\Z%] I1=: <R^Z]O_PY%%M1=:I8< PY% E PXj MD SK {H}∩ = :Pj⊂PY%4 {H} MD (SBC)= ∩ HK DK 1 HK / /MG MG DG 2 MG AG 2 MG / /SK SK AK 3  ⇒ = =     ⇒ = =   HK 1 SK 3 ⇒ = ] 31=:I8PY% Câu 6(1,0 điểm) En`4J2a    $  $ "    +  n n n n n n C C C C n C n+ + + + + + = + (U ( ) ( ) ( ) ( ) ( )     h  h   h h  h   k k k k k k k n n n n n n n n n k n k C kC C C C nC C k n k k n k − − − + = + = + = + = + − − − − −     i&`    $             $ "          n n n n n n n n n n n n n n n n C C C C n C n C C C C C C C C − − − − − + + + + + + = + + + + + + + + + ( )       n n n n n − − = + = + H D M N G K A B C S Z:    $  $ "    +  n n n n n n C C C C n C n+ + + + + + = + + n⇔ + ( )       n n n n n − − = + = + n ⇔ = . SỞ GD & ĐT THANH HÓA ĐỀ KIM TRA HỌC KÌ I NĂM 2 014 – 2 015 SỐ 7 ĐỀ 7 MÔN TOÁN – KHỐI 11 Ngày 13 tháng 12 năm 2 014 Câu 1  .  JJJ= + + + +  E3 8 9 u 15 S 81  =   =   ⇔ 1 1 u 7d 15 9(2u 8d) 81 2  + =   + =   ⇔ 1 1 u 7d 15 u 4d 9  + =   + =   ⇔ 1 d 2 u 1  =   =   ] 3 {  K  P. G9H>G=: 1 6 −(G<=D@ dKG9H>G=: 5 6 ] 3GD=: 2 3 3 2 5 5 1 5 5 12 50 C . 10 . 6 6 77 76 6     = =  ÷  ÷ 