Đề kiểm tra học kì 1 môn Toán lớp 11 số 13

Đ KHẢO SÁT CHẤT LƯỢNG HỌC K I  Môn thi:Khối: Thời gian làm bài: 90 phút ( không kể thời gian giao đề)  Câu I (2,0 điểm) !"#$ "%  & '& !( ) !( )*  !      x c c π π − − − +% , '& & !( ) !( )*  !      x c c π π − − − Câu II: (1,0 điểm)-./0!1#23456 '   n n C C= % 57!18"  x  9":$  '  n x x   +  ÷   Câu III: (3,0 điểm) ;<%=->%=->/0 + 0?5@%/0# A:58"<B/05CA:53D=-(9=E0-)% ") 5"#2.8""5FG(<=)E0(<->)% 5"A:58"<-E05F  H(@)% +)IBJ/K/L/0?58""5=>E0<>%M5HIJ!  !EN5FG(<=-)% Câu 4: (1,0 điểm)%O5C!P!Q?A1E0ARS/K%T&!#SA:U!1 S5"/KO+H,V Câu 5. (2,0 điểm)S!1C(#  )W"56$#  X# ' Y#  *E0#  Y# Z *,% "% 5!1DAK#3E0[!"% +%TU8"!1DAK#3% Câu 7(1,0 điểm)5CC9T;E3+A[5C9"#BA;;'E3+ &"BE3+AWE0E3+E0% "% T!1\#3"'E3+BA;;A8'50#&"BAWBE0% +%T&!#SA:\#3]C"ZE3+A;9[;A8'50#% Hết ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^ <_`a@>bcdd@e@=f= Đ SỐ 13 HƯỚNG DẪN GIẢI Câu NỘI DUNG Điểm 1a  !"#$  & '& !( ) !( )*  !      x c c π π − − − 1,0 đ  & '& !( ) !(  )*  !      x c c π π − − ⇔  & & '& ! ! !  ! *  !      x x c c c− − ⇔ ' '& '& ! !& ! ! * !    x co c x− ⇔ ' ! (!& ! )*  x co x− − ⇔ '& !    !( )   c x π  =    − =   + '& !   c = ⇔  ' ' k x π π = + +  !( )   x π − = ⇔    x k x k π π π π  = +   = +  1b.  !"#$ , '& & !( ) !( )*  !      x c c π π − − − 1,0 đ , '& & !( ) !(  )*  !      x c c π π − − ⇔ , ,& '& ' & ! ! ! ! * !      x x c c c− − ⇔  & & ! !& ! ! *!    x co c x− ⇔  ! (!& ! )*  x co x− − ⇔ & !    !( )   c x π  =    − =   + & !   c = ⇔    k x π π = + +  !( )   x π − = ⇔    x k x k π π π π  = +   = +  2 -./0!1#23456 '   n n C C= % 57!18"  x 9":$  '  n x x   +  ÷   1,0đ  5AL ,n = 7!18"  x MEN9*/0:  '  , % %'C 3 a  ;<%=->%=->/0 + 0?5@%/0#A:58"<B/05C A:53D=-(9=E0-)% ") 5"#2.8""5FG(<=)E0(<->)% 5"A:58"<-E05F  H(@)% 1,5đ g ( ) ( )SAC SBD SO ∩ = g@/0-8" ∆ <=3@hh<= <#2"$ ( ) ( ) h h x OMN SAB N SA∩ = % x N Q<-Di%cj2 { } ( )SB OMN K∩ = 3b IBJ/K/L/0?58""5=>E0<>%M5HIJ!  !EN5FG(<=-)% 1,5đ ";$ `J  IJ h h `< ' IE SA IA = = ⇒ Mà ( ) IJ h h( )SA SAB SAB⊂ ⇒ 4 O5C!P!Q?A1E0ARS/K%T&!#SA:U!1S5"/KO +H,V 1,0 đ ";$ ( ) Z%Z 'Zn Ω = = =$kU!1S5"/KO+H,k { } (lZ)B(Zl)B(l)B(l)B('l)B(l')A = ( ) Zn A⇒ =  ( ) Z P A⇒ = 5a S!1C(#  )W"56$#  X# ' Y#  *E0#  Y# Z *,% "% 5!1DAK#3E0[!"% 1,0 4/0[!"8"S!1C(#  )B";$  '   Z  , u u u u u − + =   + =       ( ) (  ) (  )  (  ) , u d u d u d u u d + − + + + =  ⇔  + + =  ⇔   '    , u d u d + =   + =  ⇔   ' u d =   =  5b. TU8"!1DAK#3 1,0 đ ";$ [ ]       %%%%  ( )  S u u u u d= + + + = + − = [ ]  % ( )' m  + − = 6a 5CC9T;E3+A[5C9"#BA;;'E3+&"BE3+AW E0E3+E0% "% T!1\#3"'E3+BA;;A8'50#&"BAWB E0% 0,5đ :AL+"E3+;A8'50# "+&"B+AWE0+E0% Suy ra số cách chọn là: 3.4.5 = 60 (cách) 6b T&!#SA:\#3]C"ZE3+A;9[;A8'50#% 0,5đ <1Kn9["5\#$ Z  ( ) mn CΩ = = % =/0+.1oZE3+"9[A8'50#p $qS2ALZ+&"E0AW%;!1/S2/0$ Z , ,C = $qS2ALZ+&"E0E0%;!1/S2/0$ Z r rC = '$qS2ALZ+AWE0E0%;!1/S2/0$ Z m rC = <19.s##j/L+.1=$ ( ) , r r mn A = + + = t!#SK 5$ m , ( ) m ' P A = = . <_`a@>bcdd@e@=f= Đ SỐ 13 HƯỚNG DẪN GIẢI Câu NỘI DUNG Điểm 1a  !"#$  & '& !( ) !( )*  !      x c c π π − − − 1, 0 đ  & '& !(. !EN5FG(<=-)% Câu 4: (1, 0 điểm)%O5C!P!Q?A1E0ARS/K%T&!#SA:U !1 S5"/KO+H,V Câu 5. (2,0 điểm)S !1 C(#  )W"56$#  X# ' Y#  *E0#  Y# Z *,% "%. +   = +  2 -./0 !1 #23456 '   n n C C= % 57 !1 8"  x 9":$  '  n x x   +  ÷   1, 0đ  5AL ,n = 7 !1 8"  x MEN9*/0: