No rights reserved.. Share and share alike.. TUYEN TAP OLYMPIC TOAN SINH VIEN TOAN QUOC 1993 - 2005 de thi & loi giai dua theo Cac de thi Olympic toan sinh vien toan quoc cua Nguyen Van
Trang 1Tuyển tập Olympic Toán toàn quốc 1993 - 2005
Trang 2DongPhD No rights reserved Share and share alike
TUYEN TAP OLYMPIC TOAN SINH VIEN TOAN QUOC 1993 - 2005 (de thi & loi giai) dua theo Cac de thi Olympic toan sinh vien toan quoc cua Nguyen Van Mau, Le Ngoc Lang, Pham The Long, Nguyen Minh
Tuan, Hanoi, 2006
Trang 31 )
w
d (( d
W3
O 3
7¶QK / I \/
&|X
D &KR Ww?D ) 8s-+ ?1?L d, ? ; b3 7°P PÂW QJX\Q KPFÊD Ww?D WUQ b
Trang 42O\PSLF QP
&|X
D &KR KP VÁ Ww?D [F ·QK Y F¼ R KP E¤F KDL OLQ WÍF Y NKQJ
¾QJ QK£W EQJ NKQJ WUQ E£W NÓ RQ QR FÊD b %L®W UQJ ¾ WK· FÊD KP VÁ
r ) Ww?D FW ÃQJ WKQJ y? L Kr L ) WL ED L¬P SKQ EL¯W &KÑQJ PLQKUQJ W¾Q WL ?( ; b VDR FKR WIIw?(D ) ( Y WIIw?D ¿L G£X TXD ? ) ?(3
E ¶ KL¯X hzw D O W¤S KÇS W£W F FF D WKÑF YÆL K¯ VÁ WKÒF F¼ E¤F NKQJYÇW TX z &KR KDL VÁ SKQ EL¯W y, K ; b
&|X &KR ( a ? a $1 Y ( a r c L &KÑQJ PLQK UQJ
rwDUFWJ r ?D OQ w{BR ?0d L r1D3+ºL NKL QR WK° [\ UD G£X QJ WKÑF
&|X &KR w?D W) FRQVW O D WKÑF YÆL K¯ VÁ WKÒF &KÑQJ PLQK UQJ Q®X K¯SK QJ WU°QK
T
z
Z
&|X &KR KDL PD WU¤Q WKÒF YXQJ ¾QJ F£S \ Y 4 *L WKL®W UQJIw\ L 4D W) ( Y Iw\ 4D W) ( W
&KÑQJ PLQK UQJ I - W) (
Trang 5&K QJ &F « WKL 2O\PSLF FK¶QK WKÑF
d
1?d ) ydd?dL yd1?1L N N N L ydz?zd
1?1 ) y1d?dL y11?1L N N N L y1z?z
N N N N N N N N Nd
1?z ) yzd?dL yz1?1L N N N L yzz?z
&|X &KR PD WU¤Q
\i )
w{BR1$i
z
d
?w\z oD
Q,WURQJ ¼ o O PD WU¤Q Q Y· Y
\ )
C
H d
?z
?z d
I
O , z ; L
Trang 6&|X &KR KP VÁ Ww?D OLQ WÍF Y F¼ R KP F£S PÂW WUQ w(, D Y NKQJSKL O KP KQJ &KR y, K O KDL VÁ WKÒF WKºD PQ L«X NL¯Q ( c y c K &KÑQJPLQK UQJ SK QJ WU°QK
?WIw?D Ww?D ) yWwKD KwyDK yF¼ ¶W QK£W PÂW QJKL¯P WKXÂF wy, KD
&|X
D &KR KP VÁ W U >y, KH >y, KH, YÆL y c K Y WKºD PQ L«X NL¯Q
/Ww?D WwrD/ c /? r/, ?, r ; >y, KH Y ? W) r3
&KÑQJ PLQK UQJ SK QJ WU°QK Ww?D ) ? F¼ GX\ QK£W PÂW QJKL¯P WKXÂF >y, KH
E &KR KP VÁ Ww?D NK YL WUQ >y, KH Y ? ; >y, KH WK° /WIw?D/ c /Ww?D/
&KÑQJ PLQK UQJ Ww?D # ( YÆL P½L ? ; >y, KH
Trang 7&K QJ &F « WKL 2O\PSLF FK¶QK WKÑF
&|X &KR \ O PD WU¤Q YXQJ F£S z VDR FKR \d) n\ 7¶QK GHWw\dx\D3
&|X &KR FF VÁ y7i L yi7 ) (, 7, i ) d, 1, 333, z &KÑQJ PLQK UQJ K¯SK QJ WU°QK
T
z
Z
ydd?dL yd1?1L N N N L ydz?z) (
y1d?dL y11?1L N N N L y1z?z) (
N N N N N N N N N
yzd?dL yz1?1L N N N L yzz?z) (F¼ QJKL¯P NKQJ W P WKÃQJ
Trang 8&|X &KR KDL VÁ WKÒF SKQ EL¯W y, K Y FKR 4 ) wK7iD O PD WU¤Q YXQJ F£S
&|X &KR PD WU¤Q YXQJ \ ) wy7iD F£S z z k dD F¼ KQJ ;©W PD WU¤Q
\ ) w\7iD WURQJ ¼ \7i O SK Q EÈ L VÁ FÊD y7i WURQJ \ 7°P KQJ FÊD \
&KÑQJ PLQK UQJ YÆL P½L y(, yd, 333, yz; b z ; L WD «X F¼
Trang 9&K QJ &F « WKL 2O\PSLF FK¶QK WKÑF
&|X &KÑQJ PLQK UQJ KP VÁ
Trang 10W, y, K, ; b3
L &KÑQJ PLQK UQJ Q®X \dE) ( WK° \1 ) (
LL ... 35
I - ) I w4 L \D I w4 \DwdDz 1
3''R Iw4 L \D W) ( Y Iw4 \D W) ( QQ I - W) (3
Trang... 122O\PSLF QP
&|X 7°P PD WUÔQ QJKÃFK R FấD PD WUÔQ
- )
ChhH
g( (... data-page="15">
&K QJ &F « WKL 2O\PSLF FK¶QK WKĐF
?dM d
Trang 16&KĐQJ