SỞ GIÁO DỤC & ĐÀO TẠO KỲ THI CHỌN HỌC SINH GIỎI CẤP TỈNH LÂM ĐỒNG NĂM HỌC 2010-2011  Môn : TOÁN – THCS   Thời gian : 150 phút ( không kể thời gian giao đề) Đề thi gồm có 1 trang  Câu 1: (2,0 điểm )  Câu 2:(2,0 điểm)  !"#!$  %&'(#%)* ) +,-./012345 Câu 3:( 2,0 điểm6.7829:4:;<=6,>6.?@4A23.78 B@A+C.?D6<@EF6D4AGDHI<J,1DK 45.7829:41L,1D45.7829:;+1L.? *DDK!D   Câu 4: (2,0 điểm ) 6 M7N#OP6Q.R,HS$#'%! TJ2UPC<V60?,*<A!$#  '   Câu 5: (1,5 điểm) *W!''  'X'  <61<( Câu 6: (1,5 điểm ) YZ[<.6*<# $ %#  %\#'\Z] Câu 7: (1,5 điểm) ^_SL7N2T Câu 8: (1,5 điểm )*K! '''$H-L_+ <[L7N 45 `  Câu 9: (1,5 điểm )6 M7N64 0* Câu 10:(1,5 điểm ) TSa3<V6L7N2T#  %#%  %! Câu 11: (1,5 điểm ) T64,- @AKO<bK!@AcIK4,- b<45@O+ 2,.?<V6 *A4,-b<45K Câu 12: (1,5 điểm)6J<DY<Z >D^K+6.?<J<.78 LZJ<2<V66 J<DYA1KD!<OK!$< [.dM.>D eeeeeeeeeefeeeeeeeee 43[XXXXXXXXXXXXXXXXXg 0JM6XXXXXXXXX ^JUXXXXXXXXXXXXXXXXXXXXch3XXXXXXXXXXX ^JUXXXXXXXXXXXXXXXXXXXXch3XXXXXXXXXXX @ & \ & & \ &= − − +  #  i  # i \ + + =   − =  )∈   \ 6 0 6 0 + ≥ + µ µ  @ K j= = @∈ µ  D j<  ( (Thí sinh không được sử dụng máy tính ) gk^lm:Knop:q: crlssgl^ltluYv wxDy^ zDse HƯỚNG DẪN CHẤM ĐỀ THI CHÍNH THỨC D-:m%g  Z, 75M{<C ? Z, .? ! !  O(.? O(.? O(.? O(.? Z, .? $  %&'(!$  |Z"#./0123 45 O(.? O(.? O(.? O(.? Z,$ .? * DDK!D@ DA * D  !D@DA g,26DDK !D   O&(.? O&(.? O(.? Z,\ .? $#'%!!%$#  |Z^<V6A+ O(.? O(.? O(.? O(.? Z,( O(.? !''  'X'   !''  ' $ ' \ ' ( ' } ' & 'X'  ' j '  '   !''  ' $ ' \ ''  ' $ 'X'  ''  ' $  O(.? O(.? @ & \ & & \ &= − − +    $ &  $ &− − + ~  $ & ~ ~  $ & ~− − +  $ &  $ &•$ & } & = − − − = −  & (   $ $   − +  ÷     & \j } $  } $} $} &  $    } $}     = − − +    ÷           = − + > ∀    ÷       ⇔      A $#  $#  # }#      # \ \      # \ \ \ = + − = − +     = − +    ÷         = − + ≥  ÷      H#! 4! \ \ \ !(' \ 'X'  <61<( O(.? Z,} O(.? # $ %#  %\#'\ !# $ '\#  %(#  %#'}#'\ !#'\#  %(#'} !#'\#%#%$ O(.? O(.? O(.? Z,& O(.?  O(.? O(.? O(.? Z, O(.? K!'''$ !  '$  '$' !  '$  '  '$   '$  €K€  '$  '  ' $'   '$  €K€  '$'  3KH-L_+ <[L7N4T  '$  4  '$'  +  <• ‚ L7N+31L O(.? O(.? O(.? Z,j O(.? 6<b6%0    KC,ƒ!„#_26H 6!03 ‚ ,<Z,6 …  H-27 … .3 †  O(.? O(.? O(.? Z, O(.? #  %#%  %! #'#%! ‡< ‡< O(.? O(.? O(.? Z, O(.? ^D+2,.?<V6K **J<@AD+ T0T *D g,26D+2a<Z<V6 O(.? O(.? O(.3 †  O(.? O(.?      #  i  i  #   #  # \ # i \ i # \ i  #  #      i  #  #    i  + + = = − −    − − = − ⇔ ⇔    − = = − = − −     − + − = ⇔  = − −  = =  ⇔  = −  ⇒ ⇒ ≥    6 0 60 6 0 \60 6 0 \ 4T6'060• 60 6 0   \ 6 0 6 0 ⇔ + ≥ ⇔ + ≥ + ⇔ ≥ + ⇔ + ≥ + ⇔ ⇔ #   #   + =   − =  #  \ #   + =   − =  ⇔ # $   =   =  #    =   =  @D  A⇒ @K⊥ @K∆@D K⇒ ⊥ G4 Z, O(.? ˆ,6DHI6D# 4,-b<45 D<=K> ‰OHIDŠ *< 4‰Š!KŠ D‰  !‰Š‰! ‰Š‰Š'K < O(.? O(.? O(.? 1,<_0E<J<HJ<.OJH_Ma6‹0?,.?.?<.?7N* A K⇒ ⊥ K⊥ ¶ µ  K ‰= DK D‰  (⇒ = =    ( ‰Š‰Š $ ‰Š $‰Š   = + + − = ‰Š \‰Š (  ‰Š O(4T‰Š• + − = ⇒ = D  ⇒ = . &  & &  &= − − +    $ &  $ &− − + ~  $ & ~ ~  $ & ~− − +  $ &  $ &•$ & } & =. sử dụng m y tính ) gk^lm:Knop:q: crlssgl^ltluYv wxDy^ zDse HƯỚNG DẪN CH M ĐỀ THI CHÍNH THỨC D- :m %g