Đê, ĐA HSG Toán 11 cụm Lục Nam Tỉnh Bắc giang 2013

 Đ THI CHỌN HỌC SINH GIỎI CẤP CƠ SỞ
CỤM: LỤC NAM 
MÔN THI: TOÁN LỚP 11

Câu I. (5 điểm)
 !"#$ 
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π
− − +
=
−
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+,-.&/0' 12(3"4 1 "5067 "8"&&9&-:2;< (02=(3>,-.&&0
?"&'@AB!C6/3 &D(3E-C !"F&D(3-G !"#H&>2I >H  &D(3-G !(02*
Câu II. (4 điểm)
$6(3J !"K !L29"
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&M0N7O(3
% 
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&'/P

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 E  % 
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+ −
= =
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− − = ∀ ≥ ∈
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¥
*
Q "K !
  )  
    
   
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= + + + + + +
+
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Câu III. (4 điểm)
$6-R !"#$ 
) 

%       − + + + =
&S) !<6T /<">,"B 6U"&8
(3&U !*
Q !HJ 
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→
− + − +
− + − +
*
Câu IV. (6 điểm)
#' !6V"W !"X0-U&'-F !"#Y %
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*$6 !"#$ &M0
-F !"#Y %Z>B &M0%L20[A\"4
% E   −
*%"T6E"](3/^ !
−
*

'>_ !"#`*ZZZ&S>B"#2 !-R6&M0Z*V"W !%a-L20AB
(' !(' !AHZABZ*b9&-\ "?"N< &M0$ >_ !"#`;&c"/P6V"W !%a*
'"GN< E!XE>d >.">B"#2 !-R6&M0ABE>B"#X !"T6&M0
"06!9&*X>B!0'-R6&M0AB*
G !6 #^ !AH6X-R6"#' !;I !!0 E"0>2I &S
)   ! "+ + + =
uuur uuur uuur uuur uur
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Câu V. (1 điểm)'N7O(3
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-.&e9&-\ 
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G !6 #^ !
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   
  ***    − + + + + >
*
………………… HT ………………
#$%&'((((((((((((((((()(())(*+,-.((())((())
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