Đề Toán 9 + Đáp an

Ubnd huyện đông hng đề khảo sát chọn nguồn HSG Môn Toán lớp 9 Phòng giáo dục năm học 2005-2006 (Thời gian làm bài: 90 phút) đề bài Câu 1( + + + + + a1 a1 a-1 a1 : a1 a1 a-1 a1 6 1 12 5 3 1 23 1 3 1 ++ Câu 2 ! "#$%&'()*+,!," 14 23 222 > ++ + ++ zyxzxyzxy Câu 3 /)0 1 2131, 1 ,12%4#$&'- .5*/)06 6 2 . .0/)0-78 97&!:6878 /)0 0 4 112 2 2 2 4 2 22 = + + + y mmy y m y Câu 4( ;<=>?<6@1A$BC(B D;<=7.EFB<=>GH/I<=>?JC$ H/IJ@JK.L<=GMC C@#N#OJ#$ P. . P&&@. .CK#$/>7C@$CK#QRB' 6CJ!D;<=?. Câu 5 @: B<=>?MJ@SG$P PTU@$G MJ@SV$WVTU$W MJS5$ X5TU$X. Y&V.W$5.X. 51 5X-% X- VWZ.PG[ - ®¸p ¸n,biÓu ®iÓm. C©u 1: (4 ®iÓm)          + − − +         + − + + a1 a1 a-1 a1 : a1 a1 a-1 a1  . 6 1 12 5 3 1 23 1 3 1 −++ 3 L:68#$    ≠ < 0 1 a a 4 \ 3 L] . 1 2 1 2 1 : − + =−+== − +                 x x x x  - 7 - - -   - - - - - 3- - 7 3- - ! = − − + + + = + = 4 \ 3 E . 6 1 12 5 3 1 23 1 3 1 −++  . 12 625 3 1 23 1 3 1 − ++ 4 \ ( ) 2 3 2 1 1 1 1 1 1 3 2 (0,5 ) 12 3 3 2 3 3 3 2 3 2 3 1 1 3 2 2 3 2 3 2 3 6 6 2 3 3 2 3 . 2 diem − − = + + = + + − + + − = + + = = = =  ^+L_ 4 \L 1 ! $7   % 4 \  C©u2.(4®iÓm) C/*(:E`-1.%a-11a  1 " 1 ! 1  "!"! . "!"! 1 " 1 ! 1  %.1aE 7 1 " 1 ! 1  "!"! .$ "!"! 1 " 1 ! 1  %. (b&'1Q&@L(c/D(b"!  (  1 " 1 ! 1  "!"! . "!"! 1 " 1 ! 1  %.a 1 " 1 ! 1  "!"! .1d "!"! 1 " 1 ! 1  %. 1 " 1 ! 1  "!"1! 1 " 1 ! 1  1. "!"! "!"1! 1 " 1 ! 1  %. 1 " 1 ! 1  1 "! 1. "!"! 1 "! %. 1 " 1 ! 1  1 "!"! % E ==+>+= ++ ++ ++ ++ +≥ ++ ++ ++ ++ ++ ++ + ++ ++ += ++ ++ +++ ++ ++ = ++ +++++ + ++ +++++ = =++ ++ ++ + ++ ++ = ++ + ++ = o zyxvi )1( 1 C©u 3: (4®iÓm)  (2®iÓm ) ! 6 2 $/)0-7  1 21 6 2 31, 3 2 , 6 4 2%4  ef 0293422)x2632(2x23 2 =−++−−  7 =∆ / Z3 2 )16(62 −= f4/)0718/>8  0 4 112 2 2 2 4 2 22 = − −−+ + + − − y mmy y m y        − = −− = 6 638 x 6 64 x 2 1  (2®iÓm) `)0  1 2131, 1 ,12%4#$&'- #$/)0g17 =∆ / 31 1 3 1 ,13%3d,Z. `)078ef ≥∆ / 4ef3d,Z ≥ 4ef 6 7 ≤ . `)0 0 4 112 2 2 2 4 2 22 = − −−+ + + − − y mmy y m y 1 (®iÒu kiÖn x¸c ®Þnh 1!$1! −≠≠  `)01ef! 1 3131!, 1 ,13%4h `)01786$i6/)0h78*+: 68 1!$1! −≠≠ . `)0h#$/)0g17j8&'  /)0-D/3 )  0  h7  8  6    6 7 ≤  %. K8  !    h  *  +  L_ 1!$1! −≠≠ ef      ≠−+−−−− ≠−++−− 032m2)2).(2(m2)( 032mm2).22(m2 2 22 ef      ≠−+ ≠+− 076mm 092mm 2 2  ef    −≠ ≠ 7m 1m  _HO/%$7/)0178ef        ≤ −≠ ≠ 6 7 m 7m 1m C©u 4: (4®iÓm) a)(2®iÓm P&&@ . P?$GH/IDG ? Ck$. C$CGP$C?@>SG$?  7CPG7C@? jT7?CP l!7CPG$7C@?#$17m 1<kP$@C@#$!H DP&&@._ %  K ? @ C P  G  b) (2®iÓm) CK#$/>7C@.- P@H/IGJKDGKQ7@ f DE ˆ NNE ˆ C = n4 4 fKTKPf BMNNMC ˆˆ = fCK#$/> 7C@. h6C(BD;<=?0CK#QR-' .- 5oCKM<=?J1#$_6C 717CK$@CKTD$I#$7BH/ <=?D_$@_Tf_#$U _@'<=?'D_#$'. Eg!6C(BD;<=?0CK#QR'#$ U@=#J?. C©u 5 (4 ®iÓm) ∆@@@p40F a(2 ®iÓm  Y&V.W$5.X. qr ∆ 5V$ ∆ WX75VWXBH/ f 0 180 ˆ ˆ =+ FJHFGH $ 0 180 ˆˆ =+ AGHFGH 6:j D FJAAGH ˆ ˆ = - sJ77 D ∆ 5V$ ∆ WXm(J. 4 \ f AF AH AJ AG = f5.XV.W.4 \ b) TÝnh DE = ? 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"!"! 1 "! %. 1 " 1 ! 1  1 "!"! % E = =+& gt ;+= ++ ++ ++ ++ + ++ ++ ++ ++ ++ ++ + ++ ++ += ++ ++ ++ + ++ ++ = ++ ++ ++ + + ++ ++ + ++ = =++ ++ ++ + ++ ++ = ++ + ++ = o zyxvi )1( 1 C©u 3: (4®iÓm) . E . 6 1 12 5 3 1 23 1 3 1 ++  . 12 625 3 1 23 1 3 1 − ++ 4  ( ) 2 3 2 1 1 1 1 1 1 3 2 (0,5 ) 12 3 3 2 3 3 3 2 3 2 3 1 1 3 2 2 3 2 3 2 3 6 6 2 3 3 2 3 . 2 diem − − = + + = + + − + + − = + + =. Ubnd huyện đông hng đề khảo sát chọn nguồn HSG Môn Toán lớp 9 Phòng giáo dục năm học 2005-2006 (Thời gian làm bài: 90 phút) đề bài Câu 1( + + + + + a1 a1 a-1 a1 : a1 a1 a-1 a1 6 1 12 5 3 1 23 1 3 1 ++ Câu