Đề thi toán 11 - sưu tầm đề kiểm tra, thi học kỳ, thi học sinh giỏi tham khảo bồi dưỡng (50)

ĐỀ 1 A.ĐẠI SỐ (7 điểm): Câu 1:3điểm            x x x x x →− − + + + +           x x x x x →− + + + −        x x x π → −  Câu 2: ! "2điểm   #    y x x= − −       x y x − = + Câu 3:1điểm $ "    x y x + = − $%&'()*'+'&(',&-$&''&(',&-). '/  0 #x y+ − = Câu 4:1điểm $ " y x x= $1+2     3  33x y x y x− + + = B.HÌNH HỌC (3điểm):$4(567$84,67$8 -9 56  ABCD⊥  56: Câu 1:$1+2 BD SC ⊥ (  SAD ⊥ (  SCD Câu 2:4;57- (56$ Câu 3:<=> '+?58@A;).'/78- $> ĐỀ 2 I. Đại số và giải tích: (7đ) 1. ( 2đ) a.          x x x x x → − + − + b.       x x x x →− + − + − 2.( 2đ) ! " a.    x y x + = +  b.    '  y x x= − + 3. ( 1đ)$>B&  y x c x= '   3    33 #x y y c x x y− − + =  4.( 2đ)$ "      x y f x x − = = − 4C'D ( ) C EF(()*'+'&(',& ( ) ∆ - ( ) C  &' ( ) ∆ - ( )   #d x y+ − =  II. Hình học: (3đ) $4(567$84 ( ) 56 67$8 ⊥ G,67$8 '-9'6- 8- SA a = G 68:8$: :  AB a <=H '+?!67 1. 1đ)$1+2 ( ) ( ) SDI SAC⊥  2. ( 1đ)ID- '4'JK'(/67$8- 5$8 3. ( 1đ)@A;).'/L67- 5$ ĐỀ 3 A. Giải tích: ! "G#         x x x x → + − −         x x x x x →−∞ − − + −  ! "G#    x y x =      = −y x x  EF(()*'+'&(',&!C'D "         C y f x x x = = − + − -). '/  y x= − + G# $>B& 'y x x= '    33    #x y x y y− + + = G# B. Hình học: G#$4(567$84,67$8 '-9'6- 8  SA ABCD⊥      AB AD DC a SA a= = = = H '+?67 1. $1  BC SCA⊥ 2. ID- '4;57$- 67$8 3. @A;8H- 57 ĐỀ 4 Câu 1:           x x x x → − + −   2 3 4 21 lim 3 x x x x → + − − Câu 2:IL''M'N! "       ≤+ > − −− = G G  #  xmx x x x xf G?O5E'P:          QPR   x khi x f x x khi x  − −  ≠ =  −  =  ' # x = Câu 3:  ! "  x x y x 2 2 2 1 + − = +    y x x = −      y x = + S y x 2 (1 cot ) = + T y x 2 3 (2 sin 2 ) = + U y x xsin 2 = +  y x 2 cos 1 2= − Câu 4:$ "     y f x x x= = − + 4C'D $%&'()*'+'&(',&!$&''&( ',&-).'/  y x = +  Câu 5$ ",:P  QP  Q$  P?,VW#  %&'()*'+'&(',&-C'D$&'X"42 Câu 6:$ " y x x.cos = $1+2 x y x y y2(cos ) ( ) 0 ′ ′′ − + + =   %&'()*'+'&(',&!C'D$! " y f x x x 3 ( ) 2 3 1 = = − + '? !$-'+N' $1()*'+ x x 3 3 1 0 − + = 4X(YX' Câu 7:$4(567$84,67$8 ''YZGM56-94-,67$8  $1578 ⊥ 56$  [\6O ⊥ 7$'O$15O ⊥ 7$  7&' AB a = G SA a= G · # ]#ABC = 4;K'(/57$- 67$8 S @A;).'/7$- 58 ĐỀ 5 Câu 1:         x x x x → − − −          x x x x → − + −   x x x x 2 3 3 lim 2 15 → − + − S x x x 1 3 2 lim 1 → + − − Câu 2: M'N! "  ^           ] x khi x x f x x khi x  + − ≠   − =   =   ' # x =   x x khi x f x x a khi x 2 2 1 ( ) 1 1 1  − −  ≠ − =  +  + =  a?  "M'N'P: Câu 3:  ! "     x y x + = −    y x x =      y x − = + S y x1 2tan = + Câu 4:$ "    ] y f x x x= = − + + 4C'D $%&'()*'+'&(',&!$&''&( ',&-94-).'/    y x = − +  Câu 5:$ " y x x x 3 2 2 5 7 = − + + − 4C'D$ <A_'()*'+  2 6 0y ′ + >  %&'()*'+'&(',&!C'D$'?4 ` x 0 1= −  Câu 6:$ " x y x 3 4 − = + $1+2 y y y 2 2 ( 1) ′ ′′ = −  $ " y xcot2 = $1+2 y y 2 2 2 0 ′ + + =  Câu 7:$4(567$84,67$8 -9'YZ2a- 56⊥67$856: a 6 3 <=OG[a)b' &-94!6M57G58  $178⊥5$G5Z⊥78G  $1567⊥57$G5$⊥6O[ 4;5$- K'(/67$8G5HG67$8-H '+?5Z @ 'c6&57$ ĐỀ 6 Câu 1G#?  x x x x 3 2 1 2 3 1 lim 1 →− + − +  ( ) x x x x 2 lim 1 →+∞ + + − Câu 2G#?IL''M'N! "'? x 0 2=  x khi x f x x x khi x 2( 2) 2 ( ) ² 3 2 2 2  −  ≠ =  − +  =  Câu 3G#? ! "  x y x 2 2 1 2 − = −   y x 2 cos 1 2= − Câu 4G#?$1+2()*'+ x x 5 3 1− = 4'_'`'X'`( Q) Câu 5G#? $ " y xcot2= $1+2 y y 2 2 2 0 ′ + + =  $ " x y x 3 1 1 + = − 4C'D$%&'()*'+'&(',&!$'?6d Câu 6#?$4(567$84,67$8 -9G56⊥67$8- 56: $1 ⊥CD SAD( )  $1 SCD SAD( ) ( )⊥  4;57- 56$ ĐỀ 7 Câu 1G#?  x x x x x 2 2 2 1 lim 3 2 →+∞ + − +  x x x 2 2 2 2 lim 4 → + − − Câu 2G#?IL''M'N! "'? x 0 1=  x khi x f x khi x x x 1 1 ( ) 1 1 ² 3  + ≤  =  >  −  Câu 3G#? ! "  y xsin(cos ) =  x x y x 2 2 3 2 1 − + = + Câu 4G#?$1+2()*'+4'_'X x x x 5 4 3 5 3 4 5 0− + − = Câu 5G#? $ " f x x x x 5 3 ( ) 2 3= + − − $1+2 f f f(1) ( 1) 6. (0) ′ ′ + − = − $ " x x y x 2 2 1 − + = − 4C'D$%&'()*'+'&(',&!$'?> Câu 6G#?$4(567$84, -967$8aG'YZ$56:a- 56 ⊥ 67$8<=eGfa)b' &-94!6M57- 58 $17$ ⊥ 567G$8 ⊥ 568 $16ef ⊥ 56$ 'ϕ-ϕ 4;5$-67$8 ĐỀ 8 Câu 1 ( 1.0 điểm)         x x x x →−∞ − + + −       x x x →+∞ − −  Câu 2 (1.0 điểm)IL''M'N! "'+M'F(PD!4        ]   x x f x x x x x  + − ≥  =  + − <  −  Câu 3 (3.0 điểm) !g "  ,:     x x x − + + − ,:PR'  P     x y x − = −   y x x = +   Câu 4(2.0 điểm)$ "UP:P  dP  R4C'D$%&'()*'+'&(',&!$G&' &(?4'`, #  : &(',&-).'/S,:QPR Câu 5 (3.0 điểm)$4(567$84,67$8 -9$M56-94 -,G56: ]  a <=>Gha)b' '+?!8$- 7$  $15>h-94-56$  4;578- 67$8G;6$- 57$  ID-94- '@A;).'/68- 5$ ĐỀ 9 A-ĐẠI SỐ : (6,5 điểm) Câu I(2điểm): ! "        x x x → + − −  ( )       x x x x →+∞ + − + Câu II (1điểm): ? "M'N           R   x v i x x f x x v i x  + − >   − =   ≤   í í 'P: Câu III (1,5 điểm):   "  ,:P  dPP  RP  d     x x y x x − = + +     y x=  Câu IV (1 điểm): <=$ C'D "    y x x= − + %&'('+'&(',&!$ 7&''&(',&-).'/PR,d:# 7&''&(',&-94-).'/Pd,d:# Câu V (1 điểm):$ " = − 2 y 2x x $1+2 + = 3 y y" 1 0 B-HÌNH HỌC : (3,5 điểm) $4(567$84,67$8 -9G SA (ABCD)⊥ -  SA a 2=  $>B$K'M!4( '-9 $>B(56$ ⊥ (578 4 α ;5$- (67$8G4 β ;5$- (567 S@A'c?6&K'(/57$G@A'c?6&(5$8  ĐỀ 10 A-ĐẠI SỐ : (6,5 điểm) Câu I(2điểm): ! "  → − + − 2 2 lim 7 3 x x x  ( )     x x x x →−∞ − + Câu II (1điểm): ? "M'N    #   P # #  + −  ≠ =   − =  x v i x f x a v i x í í '?P:# Câu III (1,5 điểm):   "  − + = + 2 2 6 5 2 4 x x y x    + = − sin cos sin cos x x y x x ,:P Câu IV (1 điểm): . %&'i!C'D " = − + 3 2 3 2y x x  &''&(',&'?>QQ &''&(',&-94-' = − + 1 2 9 y x  Câu V (1 điểm):$ " + + = 2 2 2 2 x x y $1+2,,VVd:,V  B-HÌNH HỌC : (3,5 điểm) Câu VI (3,5 điểm) $4(567$8467$8 '-9'6G67:7$:- 68: OK'M567G568j-94-K',- 56: 2  $>B7$ ⊥ (567 $>B$8 SC⊥  4 α ;5$- 67$8G4 β ;5$- 567G4 γ ;58- 56$ S'!4 ϕ ;(57$- (67$8 T@A;56- 78 U@A'c6&578 ĐỀ 11 Câu I? 1.                 x x x a b x x x x → →+∞ + − + − + −  Câu II?? "    G     G  x khi x f x x a khi x  + − ≠  =  −  − =  M'N'? x =  Câu IIIG? ! "           '  x x a y b y x x c y x x x − = = + + = + + + Câu IV?%&'()*'+'&(',&!C'D  C ! "     x y f x x + = = − &''&(',& -94-).'/       d y x= + Câu V? $    f x x= − <A()*'+  3  y y x= − Câu VIG? $4(567$4,67$ '-9Y'756⊥67$- 56:G6$:  $1+257$⊥567  @A'c?6&(57$  4;57$- 67$ S 8k- '`S -94!56- 7$ ĐỀ 12 Câu I?    #   0  x x x → + −         x x x →−∞ + +  Câu II?? "UP:           x x khi x x mx khi x  − + ≠   −   − =   M'N'?P  : Câu IIIG? ! "            '   x a y b y x x x c y x x + = = + + = − Câu IV?%&'()*'+'&(',&!C'D  C ! "       y f x x x x = = − + − &' '&(',&-94-).'/    d y x= − + Câu V?$ "       f x x x= + -        g x x = $>B 3  3  f x g x x = ∀ ∈ ¡   CâuVIG?$4(567$4,67$ 'lG56-94-K' (/67$- 56:OG[a)b' '+?!67- 7$  $1+2$O⊥567  $1+257$⊥56[  4;).'/5$-K'(/67$  @A'c?6&K'(/57$ . '+?!8$ - 7$  $15>h - 94 - 56$  4;578 - 67$8G;6$ - 57$  ID - 94 - '@A;).'/68 -. ) ∆ -  ( ) C  &' ( ) ∆  -  ( )   #d x y+ − =  II. Hình học: (3đ) $4(567$84 ( ) 56 67$8 ⊥ G,67$8 ' - 9'6 - 8 -  SA. 1 0 B-HÌNH HỌC : (3,5 điểm) $4(567$84,67$8  - 9G SA (ABCD)⊥ -  SA a 2=  $>B$K'M!4( ' - 9 $>B(56$ ⊥ (578 4 α ;5$-