!""" #$%& '()*)+$%",' /0'#$*01.'()*)+$,'2.345 6)%/35 7$' 2 15 8 15 16M x x= − + 8.9):; 15 6)"/"35 5 <3=.'>'6?@A@+B.CD$EF$*?G.,'H$*.I93J% K ; ": L M /N5 OK;:PQ/NR5 6S?.I93J*)+I3)1?TEU+/N5V6/NR5WX$*E2E'*)Y)'Z,'[\$*.C]$'^ "5 ]??31/5%K;?: " 3)_B+3)1?E`.I93J/aO"5 6)a/"35 5 )Y),'[\$*.C]$'%: " Pb:P; "5 )Y),'[\$*.C]$'%: M a: " Pac; 6)M/"35 5 7$'E')4BN6)V6E')4BCJ$*EU+?J.']$'E'd$'e.E`$d+E'BV)f6aa?V6N)Z$gE'f6"Q"? " ^ "5 !'I,'[\$*.C]$'%: " L"/?P"5:P"?Pa;/5 ]?.h.EY*)2.C>?31,'[\$*.C]$'/5E`"$*')Z?,'i$W)Z.34Bfj$'\$8Q^ 6)Q/a35 !'I3[($*.Ck$/!5.i?^l3)1?T$*I6)/!5V<"mn,.BKn$T8T!Vj)/!5/8!f6"mn,3)1?5^< 3[($*.'H$*/N5_B+!V6VB#$**`EVj)T8/N5Eo.3[($*.'H$*T.9)^Eo./!5.9)p8!V6Eo.3[($* .'H$*T.9)^ 5 !'q$*?)$'CX$*!rrV6.+?*)2E!Ei$^ "5 !'q$*?)$'CX$*.q*)2E!f6']$'.'I)^ a5 f6.CB$*3)1?EU+p!8mn,.BKn$EU+/!5.9)pEo.3[($*.'H$*T!.9)s^E'q$*?)$'88s .'H$*'6$*^ n. )Y)% 6)%/35 ( ) 2 2 15 8 15 16 15 4 15 4M x x x x= − + = − = − '+K:; 15 15. 15 4 11 11M⇒ = − = = 6)"/"35 5<3=.'>'6?@A@+B% x 0 2 y = 2x – 4 -4 0 x 0 5 y = -x + 5 5 0 Z,'[\$*.C]$'EU+/N5V6/NR5 y= 2x – 4 0= 3x – 9 x= 3 x= 3 y x 5 y x 5 y 3 5 y 2 ⇔ ⇔ ⇔ = − + = − + = − + = eK%.I93J*)+I3)1?EU+/N5V6/NR5f6T/aO"5 "5]/5%K;?: " 3)_B+3)1?E`.I93J/aO"58.qE:;aOK;" +3[tE%";?a " ⇔?; 2 9 6)a/"35 5 : " Pb:P; ∆;W " LM+E;MuLM;u ]∆v$D$.E`"$*')Z?,'i$W)Z.% 1 2 7 3 2; 2 2 7 3 5 2 2 b x a b x a − + ∆ − + = = = − − − ∆ − − = = = − 5 "5 : M a: " Pac; G.: " ;.w +3[tE%. " La.Pac; ∆;W " LM+E;cuMM;"Q ]∆v$D$.E`"$*')Z?,'i$W)Z.% 1 2 13 5 9( ) 2 2 13 5 4( ) 2 2 b t tm a b t tm a − + ∆ + = = = − − ∆ − = = = j).;. ;u;: " 8⇒:;xa j).;. " ;M;: " 8⇒:;x" eK.E`M$*')Z?%:;xaO:;x" 6)M/"35 5y):/?5f6E')4BCJ$*']$'E'd$'e./:v5 252 x /?5f6E')4BN6)']$'E'd$'e. ]E'BV)']$'E'd$'e.f6aa?8$D$.+E`% 2 252 33 33 252 0 x x x x + = ⇔ − + = ∆;W " LM+E;zuLz;z ]∆v$D$.E`"$*')Z?,'i$W)Z.% 1 2 33 9 21( ) 2 2 33 9 12( ) 2 2 b x tm a b x tm a − + ∆ + = = = − − ∆ − = = = ]"P";aa eK%E')4BN6)%"?V6E')4BCJ$*"? "5: " L"/?P"5:P"?Pa;/5 ∆R;WR " L+E;{/?P"5| " L/"?Pa5;? " P"?P;/?P5 " w ]∆Rw$D$fB#$E`$*')Z?Vj)?y)?^ 1 2 ' ' ( 2) | 1| 0,5 5 1 ' ' ( 2) | 1| 4 0,5 1 b m m x a m b m m x a − + ∆ + + + = = > − ⇔ > − + ∆ + − + = = > eK% 5 4 m − > .'],'[\$*.C]$'/5E`"$*')Z?,'i$W)Z.34Bfj$'\$8Q^ 6)Q/a35 5 !`T⊥/Tf6mn,.BKn$5 6T⊥!/*.5 ⇒!rr · · AOB ODC⇒ = /@f.5 G.0'2E.'}Ig$'E'h."mn,.BKn$Eo.$'+B.9)T8.+E`% · · AOB AOC= /Tf6m+,'i$*)2EEU+ · BOC 5 D$ · · ODC AOC= ⇒∆!Ei$.9)! "5 ∆V6∆!E`% · · AOB AOC= /E?.5 %E'B$* ;!/;~5 D$∆;∆!/E*E5 ⇒;!O;! 6!;!/∆!Ei$.9)!5 D$;!;;! ⇒q*)2E!f6']$'.'I) a5 '}Ig$'E'h."mn,.BKn$Eo.$'+B.9)s8.+E`% KE=KC OE=OC(=R) ⇒ sf63[($*.CB$*.C•EEU+p! D$s3)_B+.CB$*3)1?EU+3I9$.'H$*p! +K88s.'H$*'6$*^ n. Kỳ thi tuyển sinh Đồng Nai 2011 – 2012 Câu I%"8Q3 r)Y)": " La:L"; "r)Y) =− =+ 032 73 yx yx ar\$*)Y$W)1B.'qE 125805 −+=P Mr!'IW)n. )1;1(11 ≥≥−+−=+ bababa ^!'q$*?)$'+PW;+W [B€%E2EEiBr8"rar0'#$*@•N‚$*?2Kg$'^ Câu II%a83 !'I+C+,IfK;: " /58V63[($*.'H$*%K;"/L?5:Pa/N58Vj)?f6.'+?@A^ r<3=.'>/5^ "r!'q$*?)$'Vj)?y)*)2.C>EU+?8,+C+,If/5V63[($*.'H$*/N5fB#$Eo.$'+B.9)'+)3)1? ,'i$W)Z. ar]?E2E*)2.C>EU+?831/5V6/N5Eo.$'+B.9)3)1?E`.B$*3JK; Câu III%a8Q3 !'I/58N[($*07$'T;"~8!f6?J.3)1?.CD$3[($*.Ck$/0'2ET85^y)f6.CB$*3)1?EU+ EB$*$'ƒ! r!'q$*?)$'Tf6m+,'i$*)2EEU+*`ET! "r!'IW)n.T!;~^7$'!8 ar)Y@•!Eo.T„^!'q$*?)$'^T;! " Câu IV%83 !'q$*?)$';: M L": a P": " L":P 0 ≥ 8Vj)?y)*)2.C>EU+:^ 2,2$ !iB rE`'+)$*')Z?: ;"O: " ;8Q "rZE`$*')Z? ( ) = 9 14 ; 3 7 ; yx ar 055545125805 =−+=−+=P Mr] 0,01,011,1 ≥+≥−≥−⇒≥≥ bababa ( )( ) ( )( ) ( )( ) baabbaba bababababa +=⇔=−−⇔=−−⇔ −−+−+−=+⇔−+−=+ 1112112 1121111 !iB% r</5 "r'I6$'3J*)+I3)1?EU+/5V6/N5f6: " L"/L?5:La; +8E.C2)NhB'IGE '∆ ;/L?5 " Pav $D$,.fB#$E`'+)$*')Z?,'i$W)Z.Vj)?y)*)2.C>EU+? VeK/5V6/N5fB#$Eo.$'+B.9)'+)3)1?,'i$W)Z.Vj)?y)*)2.C>EU+? !iB 1 1 N M A O B C 1/ Chứng minh AM là a phân giác của góc BAC …!f6*`E$J)mn,E'o$EB$*! …f6*`E$J)mn,E'o$EB$* 6'+)EB$*!8WX$*$'+B.'}I*. D$…!;…'+KTf6,'i$*)2EEU+…! 2/ Cho biết AC = R. Tính BC, MB 0 90 ˆ =BCA /*`E$J)mn,E'o$$•+3[($*.Ck$N[($*07$'T58$D$.+?*)2ET!VB#$*.9)! &,N‚$*3>$'f€K.+*Ig$'3[tE 3RBC = +?*)2ET!34B/T;!;T!;~5 I3` 00 12060 =⇒= CBsđCAsđ D$ RMBCBsđBMsđ =⇒== 0 60 2 1 3/ Giả sử BC cắt AM ở N. Chứng minh MN. MA = MC 2 +).+?*)2E!V6!T3=$*N9$*/ M ˆ %*`EE'B$*8 11 ˆ ÂC = /'+)*$.E'o$'+)EB$*WX$*$'+B5 BKC+^T;! " !iB % . AOC= /E?.5 %E'B$* ;!/;~5 D$∆;∆!/E*E5 ⇒;!O;! 6!;!/∆!Ei$.9)!5 D$;!;;! ⇒q*)2E!f6']$'.'I) a5 '}Ig$'E'h."mn,.BKn$Eo.$'+B.9)s8.+E`% KE=KC OE=OC(=R) ⇒ sf63[($*.CB$*.C•EEU+p! D$s3)_B+.CB$*3)1?EU+3I9$.'H$*p! +K88s.'H$*'6$*^ n. Kỳ thi tuyển sinh Đồng Nai 2011 – 2012 Câu I%"8Q3 r)Y)": " La:L"; "r)Y) =− =+ 032 73 yx yx ar$*)Y$W)1B.'qE 125805. ) ( ) ( ) ( ) xxxxx xxnênxxvì xxxxxxxx xxxxxxxx ∀≥+−+−⇒ ≥−+≥−>+ −+=−++=+−+ +−++=+−+− ,01222 0 1101 01 11211121 22121222 234 2 2 2 2 2 2222 2 2 324234