Tài liệu ôn thi HK1

  SỞ GIÁO DỤC & ĐÀO TẠO KIÊN GIANG TRƯỜNG THPT HÀ TIÊN    ĐỀ 1 Bài 1. !"#$%& Bài 2.'()*+,+-./,012 3 &40./,012525& Bài 3.67879:;<=893;:=9>3;:=& :?@ABCD678& 3?@++,"D678& Bài 4.678E& :?CAFGHG#IG,J7E8&  AB uuur K DC uuur 13 MN uuuur  AC uuur K DB uuur 13 MN uuuur 3?L 0JMN*O7EP*O8Q HA HD 1 KB KC 1 2 1 &  HK uuur 1 3 1 93 AB uuur K DC uuur =& ĐỀ 2 Bài 1. ,01R92=12 3 −S2K<& :?T-./,01R92=& 3?E)+,./UVIV66/D20≥<& Bài 2. :?CQ6V#$ ?2 3 >93 2 K:=2K3K 3 1& ?2>W12 3 >X2KY& 3?Z/JV#$ ? x m x 1 + − K x 3 x + 13+[& ?2K:1<2K>:"0 & Bài 3. CQ6V#$ :? 2 2 x xy y 7 x y 5  − + =  + =   3? 2 2 2y 3 16 4x 3 3y 5 11 2x 5  + =    − =  & Bài 4. :?@\V]A!^20J79:;3=+,89>S;X=& ?'6/A!JJ^G,AB678& ?'6/A!JEJ DA uuur K DO uuur 1 BA uuur & 3?678&CA_G,J*O88_1 3 1 8+,`G,Jab CE uuur 13 AB uuur &7_`],& ĐÊ ̀ 3 Bài 1. CQV#$2 3 −W2−::132−3& Bài 2. :?T-[ c  d ,[ e 01 2 x 4x 1, neáu x 5 x 1, neáu x 5  − − ≤  + >  & 3?'6 d * f V#$9−:=2 3 K32−3K13* d VB2 : 2 3 a 2 1 x K 2 2 x 1 X& Bài 3.gU78E+,JFh0i& :?F7 3 KF 3 1F8 3 KFE 3 & 3? MA uuuur & MC uuuur 1 MB uuur & MD uuuur & Bài 4.@\Vj f A!^2079><;>k=893;X=9>l;Y=P92;:=& :?@m c  d [d+n$ u r  u r −< AB uuur 1 AC uuur & 3?@2J7P],& ĐỀ 4 Bài 1. CQ+,GU6V#$n:?9 3 K=21 3 −: 3? x m x 1 − − K x 1 x m − − 13& Bài 2.CQ+,GUV#$ Tổ Toán - Trường THPT Hà Tiên 3 :? { (m 1)x my 2 2mx y m 1 + + = + = + & 3? { mx 2y 1 x (m 1)y m + = + − = & Bài 3. ,012 3 K2K./G,9o=& :?@J9o=pJ79;3=89:;=9>:;W=& 3?Tq#Ib02()*+,+-./,& <?Eh./GUDV#$2 3 −<2KS−r1& Bài 4.678O&@*O7887GHG#IG 06JFo BM uuuur 1 2 1 BA uuur  BN uuur 1 1 3 BC uuur  AP uuur 1 5 8 AC uuur & :?@ AB uuur & CA uuur & 3?8J/ MP uuur  AN uuur n AB uuur +, AC uuur & <?NFo+[+q7& ĐỀ 5 Bài 1.CQV#$322−<132& Bài 2.@J :?o#$2 3 K39K:=2K9−:=132 : 2 3 a 2 1 x K 2 2 x 1S& 3?o#$X2−3K<132−<K"0 & Bài 3. 793;:=89W;<=9<;S=E9k;3=& :?N78G,6+[BO&@"678& 3?N678E8G,h& <?'6/B+,6r#stOV678& Bài 4.+[78EO& CAFG,3JN*O88F11 4 1 &@ DM uuuur & DN uuur n& ĐỀ 6 Bài 1. ,012 3 >S2K<& :?'()*+,+-./9o=D,& 3?E)+,./9o=b0GUnDV#$ 2 3 >S2Kk>19:= Bài 2.CQ+,GB d V#$92K:=1 3 −W−32& Bài 3.678& :?@*8G 0JF+,_ MB uuur 1< MC uuuur +, IB uur K IC uur 1 0 r &Mb0J/ AM uuuur n AI uur +, AC uuur & 3?@UVIVJFaF7 3 >F8 3 K7 3 >8 3 1& Bài 4.@\V]A!^20793;>X=89>:;<=+,9X;X=& :?78G,uD!6& 3?@O!Jv FA uuur −S FB uuur 1 BC uuur & <?@O!J!w^0 NA uuur K NB uuur K NC uuur x & ĐỀ 7 Bài 1. '()*+,+-./9o=D,01 2 x 2 −2K:& Bài 2. CQ+,GU6V#$n :? 3 92−:=K<219 3 K<=2−: 3?−3K 4m 1 x 2 − − 1& Bài 3.678&CA_yPG,Ja AI uur 13 AB uuur  BJ uur 13 BC uuur +, CK uuur 13 CA uuur & NAB678zG,AB6_yP& Bài 4.678781l71k81X& :?@ BA uuur & BC uuur &408& 3?@*O78G 0JE,7E1<&@ BD uuur & BC uuur & ĐỀ 8 Tổ Toán - Trường THPT Hà Tiên < Bài 1.,012 3 >S9−:=2K<& :?'()*+,+-./9o=D,r1& 3?@J,.*rQ9−3;K∞=& Bài 2.CQ6V#$+,V#$ :?32−X12K: 3? 4 x 1 3 y 2 x 1 5 y 11  + − = −  + + =  & Bài 3. 678E&CAFGHG#IG,JD7E8+,_yGHG#IG,JD7+, 8E& :?N ? AB uuur K DC uuur 13 MN uuuur & ? AB uuur K CB uuur K AD uuur K CD uuur 1S IJ ur & 3?CA^G,Ja OM uuuur 1−3 ON uuur & OA uuur K3 OB uuur K3 OC uuur K OD uuur 1 0 r & Bài 4.@\V]A!^2079<;S=89S;:=93;<=& :?@A!ABCD678& 3?@A!J_a IA uur K< IB uur KS IC uur 1 0 r & <?@J`*#s]01−3J78`],& ĐỀ 9 Bài 1. @0*JV#$"0 92;0=+q20G,0* { mx y 2m x my m 1 + = + = + & Bài 2. T-./+,GUVQ*D,012 3 −S2−3& Bài 3.CQ+,GUV#$n 2 x mx m 1 x 1 − + + + 1 x 1+ & Bài 4.+[78E#s781360Gq81<60a7E1& :?@6+[#q AB uuur & CD uuur  BD uuur & BC uuur +, AC uuur & BD uuur & 3?CA_G,JE&N7_+[+q8E& Bài 5.@\V]A!^2067879S;<=893;k=9−<;−l=& :?@A!DABC)BM+,B_D#stAVD678& 3?NCM_],& ĐỀ 10 Câu 1: Giải các phương trình sau: (2 điểm) & :< : k3 −= − + x x x b) k<<X −=+ xx Câu 2: a. Lập bảng biến thiên và vẽ Parabol: y=x 2 +x-6 (2 điểm) b. Xác đònh hàm số bậc hai y=ax 2 -4x+c,biết rằng đồ thò của nó có hoành đỉnh là -3 và đi qua điểm A(- 2;1) (1 điểm) Câu 3:Giải hệ bất phương trình: (1 điểm)      +−>++ +<+ − =:3=9:9=:93 < : 3 < 33 3 xxxx xx x Câu 4: Xét tính chẵn lẻ của hàm số: y=f(x)= x x 3 3 + (1 điểm) Câu 5: Cho ngũ giác ABCDE,chứng minh rằng: (1 điểm) a. ABCBCEDCDEAC =+−−+ b. DEAECDBCAB −=++ Tổ Tốn - Trường THPT Hà Tiên S Câu 6: Cho tam giác ABC có A(-2;1) ,B(2;3),C(0;-1) (2 điểm) a. Chứng minh tam giác ABC cân b. Tìm điểm E sao cho tứ giác ABEC là hình bình hành Câu 7:Tìm m để phương trình: mx 2 +(2m+1)x+m-2=0 có 1 nghiệm (1 điểm) ĐỀ 11 7&oM{M|CM^@}@~•@M€4_M Câu 193J=, <2S20 3 +−= = T-./9o=D,& = @O!JD9o=+q#s]01<2•<& Câu 293J=CQ6V#$ = : S2 S 32 : 32 l2 3 + − = + − − + = W2332< +=+ Câu 39<J=@\V]O!^2079S;:=89:;S=93;•:= = N678G,6+[& = @O!B_+,6r‚D#stOV678& = @O!JMG,+[D7*8& Câu 4:  9:J=N+qAG,)r6G[ ( ) S  :  :  33 33 ≥       ++ & 8&oM{‚_ƒC Câu 5a9:J=CQV#$ :23:2W 3 +=+ Câu 6a9:J=V#$ ( ) :232: 3 =−+++ @6/DJV#$VB 3: 22  X22 3 3 3 : =+ Câu 5b9:J=CQ+,GUV#$ 9+qG,= ( ) <2 2 <2 22< + − = − −++ Câu 6b9:J=@6/DJV#$    =+++ =+− 30=<92=<9 0X2=39 ĐỀ 12 Bài 1 : =@@'ZD, : 0 2 3 < 32 = − − − . =F‚+qA)*SKXG,G„G,G„& Bài 2 : &CQ+,GUV#$ 92 2 3=92 := − + + = & &CQ+,GUV#$ 3 9 :=2 39 3=2  < − − + + + = & Bài 3 : =PQ6+,+-./, 3 0 2 32 3= − − − & =E)+,./,J#s]01•<2•3xVG 3 0 2 2 = − + O3J VB Bài 4 : 67879<;•:=89;S=+,ABC9S;•:=& &Mb026/A!u+,A!)BMD678& &Mb026/A!JEJ678CEG,,& '6/BD,& &@678G,6A06h… Tổ Tốn - Trường THPT Hà Tiên X Bài 5 : = :  < α = − &@6/J <   F < • α + α = α α & =@6/J     7  3 &&& :W :l= + + + + ĐỀ 13 Bài 1 : ='(†D 3 o ‡ 2 ‚  2 <2 3 ‡= ∃ ∈ − − ≤ &LUVVD/D& = { } { } 7 2 ‚ ˆ 2 : 81 2 ‚ˆ 5 2 3 5 := ∈ > − ∈ − ≤ &Mb026/6UVIV 7 8;7 87 ˆ 88 ˆ 7∩ ∪ & Bài 2 : =CQ+,GUV#$ 5 <2  5 55: 32 5− = + & =CQ+,GUV#$ 3 9 :=2 93 :=2  3 + − + + − = & Bài 3 : =PQ6+,+-./, = − − − − 2 2 y x x 6 vaø y=|x x 6 | & =E)+,./, − − 2 y=|x x 6 | JGUnDV#$ − − = 2 |x x 6 | m & Bài 4 : 678O3AFG,JN*O8F813FG, JD7& & = − − uuuur uuur uuur 1 1 CMR : MN AB AC 3 6 & &oB uuuur AM n3+($ @ uuur uuur uuuur uuur AB,AC. AM.MC & Bài 5 :@V203J79:;:=89•3;<=& a. @A!JJ67^8G,,& b. '6/A!JE^G,AB678E& c. @A!JF*^29F7KF8=a & ĐỀ 14 Bài 1 : a)CQV#$ 2 2 x y 130 xy x y 47  + =  − − =  & =@UV26/D, 3 2 x 1 y x 4x 4x + = − + Bài 2= @J, 2 y x (m 1)x m 5= − − + − .*9•:;<=& =CQ+,GUV#$ | 4x m | | 2x m |+ = − & Bài 3 :V#$ 2 (m 2)x 2(m 1)x m 2 0+ − − + − = 9:= & CQ+,GUV#$9:=& & '6/JV9:=†:"#$& Bài 4 :  &,78EB^FG,JDA8^&Mb0J"‰ AM uuuur n 7EAB uuur uuur & &@V20678&ZJ79•3;=89;•S=9•:;•<=&CAFGHG#IG,J D8+,FAMG,JDF+,7P&Mb026/A!JM+,P& Bài 5 : 678783;81S;71<& &@ AB.AC uuur uuur & &CACG,AB678&@ AG.BC uuur uuur … ĐỀ 15 Bài 1=CQ+,GUV (a 2)x (a 4)y 2 (a 1)x (3a 2)y 1 − + − =   + + + = −  & =@@'ZD, 2 y x 1 3 2x = + + − Bài 2V 2 x 2(m 1)x 2(m 2) 0(1)− + − + = = F‚o9:=G[3/*VB& = @ Q66/DJJ 2 2 1 2 1 2 A x x x x= + − + O6/a & Tổ Toán - Trường THPT Hà Tiên W Bài 3 a ( 1;1),b ( 2; 1)= − = − − r r +, c (x; 3)= − r & = Mb0VB+($ x ( 4;1)= − r n3+n a,b r r & = @2J+n c (x; 3)= − r +, a ( 1;1)= − r hV#$& = @J d (m 1;2m 3)= − + r +, b ( 2; 1)= − − r & Bài 4 : 678FG,J)I26/Š 4AM AB 3AC= + uuuur uuur uuur & & F‚<JF8],&ZJFO8nu,… & 8 · 0 ABC 60= +, AB AM 3 3= = &@ AM.MC uuuur uuur … Bài 5=2K21 7 &@ S S  2K 2 … =678 µ 0 A 60= 1:1<&@*O78G 0JE8E1:&CA`G, JE&@ AE.BC uuur uuur … ĐỀ 16 Câu 1 : V#$ 2 2 2 x y 2(a 1) (x y) 4  + = +   + =   &CQV+q13& &@66/DJV*"0 & &@66/DJV*+[& Bài 2 : . @JV x m x 2 2 x 1 x + − + = + 0*"#$& &CQ+,GUV#$ 2 2 (m 2m 3)x 9 m 0+ − + − = & Bài 3: @V2067879:;3=89•3;•<=9S;•:=& &@!",#s7MD ABC∆ &@‹0" ABC∆ & &@A!B#stOV ABC∆ & Bài 4 : &CQV#$ 2 2 4x 12x 5 4x 12x 11 5 0− − − + + = & &CQV x 1 2x 1 x 3 2x 3+ + − = − + + Bài 5 : T-9o= 2 y 2x 3x 2= + − +,9"=0132K:&'6/A!JD9o=+,9"=&E)+, ./GV 2 2x x 3 m 0− − + − = & ĐỀ 17 Câu 1 : CQ6V& x x 1. x 1 x 4 + = + + & 15 x 3 x 2− = − + & Câu 2 :  @ Q66/DJV#$"0  (m 1)(m 2)x m 2 2x 1 − + = + + & Câu 3 : 678*O8G 03J_y8_1_y1y& &N 2 1 AI AB AC 3 3 = + uur uuur uuur & &8 µ 0 A 90= +,81W\ u AB AI AJ AC= + + + r uuur uur uur uuur &@!",D+($ u r & Câu 4 : CQ+,GUVn x my 3m mx y 2m 1 + =   + = +  & @JG*g2+,0r[Vw!+,& Câu 5 : @JV 2 mx 2(m 1)x m 0− − + = 3VB+,,0 VSGHr& ĐỀ 18 Bài 1 : CQ+,GU6V#$ & 2 m x 6 4x 3m.+ = + & (x 1)(x mx 2) 0− − + = Bài 2 : CQ+,GUV#$ x m x 2 0 x 1 x 1 − − − = − + & Bài 3 : @V2079•<;<=+,89S;S= &@JF!278],& Tổ Toán - Trường THPT Hà Tiên k &@J!0678+[O& Bài 4 : @*6O7887D678GHG#IG 06JFo 1 1 1 AM AB,BN BC,CP CA 3 3 3 = = = uuuur uuur uuur uuur uuur uuur &F‚3678+,FohAB& Bài 5 : 67879;•:=89:;3=9S;:=& &F‚678G,6+[B& &'6/B#stOV678& ĐỀ 19 Bài 1 : @@'ZD, 2 3 0 3 < 32 − = − − . Bài 2 : & @ Q66/DJV#$ 3 2 9 <=2  W − − − + = : "#$& & CQ+,GUV#$ 3 2 39 :=2  < + − + + = & Bài 3 : . CAFGHG#IG,JD78+,E&F‚ 2MN AC BD= + uuuur uuur uuur & &678UVIV6JFab | MA MB | | MA MC |+ = + uuuur uuur uuuur uuur  Bài 4 : = : 2K21 S &@6/J S S  2  2+ & &678E793;=89;•S=9X;•<=E9W;W=&Mb026/A!JD3#s (& BÀI TẬP ÔN CHUYÊN ĐỀ 1&F‚+q : 3 m∀ ≠ VG 3 93 := < :y m x mx= − + + G[pJ/& 2. 3 9 =  S <P y x x= − + +, 3 9 =  3d y mx m= − & =@A!JD 9 =9 =P d r :m = & =@ m J 9 =P x 9 =d OJVB A B &@UVIVJ I DO AB & 3.CQŒ : 3 x x G,6Do@ 3 3 9 3= x mx m− + − = &@C@C@LDJ : 3 : 3 3 3F x x x x= + + & 4.CA : 3 <  x x x G,6DV#$ < 3 3 3 93 <= 93 Y= 3 < k x m x m m x m m− + + − + − + − = & @6/Gq 6/a D 3 3 3 : 3 < : 3 < A x x x x x x= + + + & 5.o@ 3 3 x x m− + = +, 3 3 < x x m+ − = &@ m Jo@ =& =@#$#$& =62nr-& 6. 3 S S 9 <= 3 < mx y m x m y m  + = +  + + = +  =CQ+,GUn m & =@#sIV"0    9 ; =x y b0!G*g   x y  r[Vw!+, m & 7.@h0n6/ a b06/a DJ 3 3 9 < 3= 93 l=A x y x ay= − + + + + & 8.CQ = 3 3 3 3 3 < 3 3 < 3 x x y y y x  − = −   − = −   = 3 3 3 3 < 3 :: 3 < :k x xy y x xy y  + + =   + + =   = 3 3 3 l 3 S x y xy x y  + + =   + =   & 9.@ m J : 3 < x y x x y y m  + =   + = −   & 10.CQ6o@ = 3 3 3 : 3 3 <x x x x x− + + − = + − = 3 3 3 X 3 3& 3 X W :x x x x+ + − + + = & = 3 < X 3x x x+ − − = − "= 3 Y Y Yx x x x+ − = − + + & Tổ Toán - Trường THPT Hà Tiên l 12.@ A D ABC ∆  ABC ∆ r[B+,6O  a b c ab 3 3 3 3 9 = 9 =b b a c c a− = − & 13.J 9 <;3=A − +, 9S;<=B &@A!DJ C * Ox 6 A +, B 14& ABC ∆  3 3 3 3a b c+ = &N < 9 = 3 a b c m m m a b c+ + = + + & 15.@\V]+qA!)• Oxy <J 9 W; <= 9 S;<= 9Y;3=A B C− − − & =@A!)B H AB G B#stOV O D ABC∆ & N  H G O ],& =@A!B#sVB6+,VB6,D A & ĐỀ 20 Bài 1LUVQ*+,+-./9o=D,012 3 •<2K3 E)+,./Mb066/D22 3 •<2K31;2 3 •<2K3 Mb0rJV#$2 3 ><2K3•r1& Bài 2.=CQ+,GUV#$9S>=2K:W• 3 1 =CQV#$ X< −=− xx  =@JV#$    +=+ =+ : 3 mmyx mymx !"0 & Bài 3.&@wO!^20J79•S;:=;89:;:=+,9:;W=&@+D6 78+, ACAB& &407D678& Bài 4 =@JV#$9>:=2 3 •39>:=2K><1VB& =678&Mb026/JF <  =++ MCMBMA ĐỀ 21 Bài 1LUVQ*+,+-./9o=D,012 3 K<2K3 E)+,./Mb066/D22 3 K<2K31;2 3 K<2K3Ž Mb0JV#$2 3 K<2K3•1 Bài 2=CQ+,GUV#$9WK=2K<W• 3 1 =CQV#$ xx −=+ 33<  =CQV#$      −=−+ =++− −=+− : Y < zyx zyx zyx Bài 3 @wO!^20J79•3;3=;89:;X=+,9•X;3=&@++, ACAB& &407D678& Bài 4 =@JV#$2 3 •39•:=2K 3 K<1VB& =678&CAF`GHG#IG,JD6O87+,78& N   =++ CEBNAM ĐỀ 22 Câu 1:A1•;X•B193;k=C 19:;<=& '6/6UVIV+,J"‰†*w B ∪ C, A \ B,A ∩ B Câu 2:='6/J./D, y ax b= + p6J79:;<=89<;:=&  =LUVQ*+,+-./9P=D, 3 < 3 :&y x x= − + − Câu 3: =8 <  3 a =  3 3 <  SP c α α = + & Tổ Toán - Trường THPT Hà Tiên Y =@V9^20=67879;W=89•3;3=+,9S;S=& 78G,6+[B&@"D678& Câu 4: 9:;3=a = r  9<; S=b = − r  9 X;<=c = − r & = @A!D+n$ 3 S <u a b c= + − r r r r = @6k+,h  &c k a hb= + r r r Câu 5:@A!^206J79:;:=893;S=9:;•3=& = @+[#q &BA BC uuur uuur +,8& = @A!J6OA!ABC)BM+,O!B_D#st OV678& = JCM_],& ĐỀ 23 Câu 193=:&LUVQ*+,+-./, <S 3 +−= xxy 3&'6/,Uy = ax 2 – 2x + cN./DpJM(-1;2)+, w2G,#s]21: Câu 293=CQ6V#$ :& 3 S Y 3 kx x x − − = + 3& X : lx x + = − Câu 39:=V#$(m -1)x 2 - 2mx + m + 2 = 0&Tq6/,DV#$* 2 : 2 3 ab5(x 1 + x 2 ) – 4x 1 x 2 - 7 = 0 Câu 49:=TqG,6)r6&  3 3 3 3 3 3 a b c a c b b c a c b a + + ≥ + + Câu 59:=WJVB78E`vN AD BE CF AF BD CE → → → → → → + + = + + Câu 69<=@\V]^20A(-4;1), B(2;4), C(2; -2) &J78r[],& &@A!JE78EG,,& &@+D678& ĐỀ 24 Câu 193= :&LUVQ*+,+-./,y = x 2 - 4x +3 3&'6/,Uy = ax 2 + bx - 1N./Dw2G,#s ] : < x = +,pJA(-1; -6) Câu 293=CQ6V#$ :& 3 X : 3 Xx x x + + = +  3& 3 3 < X :x x x + − = + Câu 39:=V#$x 2 - 2(m + 1)x + m 2 + m = 0&Tq6/,DV#$ *2 : 2 3 ab 3 3 : 3 Sx x + = Câu 49:=TqG,6)"#$& : : : l a b c b c a     + + + ≥  ÷ ÷ ÷     Câu 59:=BXCA`vGHG#IG,J6O7E+,8D678E& N →→→ =+ v3 EDCAB & Câu 69<=@*\V]^20J ( ) ( ) ( ) S;<W;3;X −− CBA & = J78r[],& = @O!JE78EG,,& = 678+[O7&@"6& ĐỀ 25 Tổ Toán - Trường THPT Hà Tiên : [...]... suy ra ln gúc DAB u ur u u u u u u u r uu r Bi 3: Cho tam giỏc ABC Tỡm tp hp cỏc im M tha : MA + MB + MC = 1 Bi 4 Lp bng bin thi n v v th hm s y = -x2 + 2x + 3 Cõu 1: Cho 2 tp hp A={1;2;3;4;5}v B={1;2} Tỡm tt c cỏc tp hp X tho món iu kin: B X A Cõu 2: Hóy lp bng bin thi n v v th hm s: y = x 2 +3x + 2 Cõu 3: Cho tam giỏc ABC cú M l trung im AB v G l trng tõm tam giỏc ABC , I l trung im ca AG... bng -1 khi x = 1 Cõu2 (1,5 ) V th , lp bng bin thi n v xột tớnh chn l ca hm s sau õy : y = x ( x - 2) Cõu3 (2 ) Cho hm s y = x2 mx + m 2 cú th l parabol (Pm) a) Xỏc nh giỏ tr ca m sao cho (Pm) i qua im A(2;1) b) Tỡm ta im B sao cho th (Pm) luụn i qua B, dự m ly bt c giỏ tr no Cõu4 ( 2,5 ) Cho hm s y = x2 4x + 3 (P) a) V th (P) b) Xột s bin thi n ca hm s trong khong (0; 1) T Toỏn - Trng THPT... u r 3-/ Cho Gi I , J l hai im tha: IA = 2IB vaứ 3JA + 2JC = 0 Chng minh IJ qua trng tõm G ca ABC ' Cõu 5 ( 2 ) :Tỡm min xỏc nh v xột tớnh chn l ca hm s sau : y= 2 x +1 + x 1 Cõu 6 ( 1,5 ): Xột s bin thi n ca hm s : y = 3 trờn ( 2 ; + ) 2x Cõu 7 : (1,5 ) a)Tỡm Parabol y = ax2 + bx + 2 bit rng Parabol ú i qua im A(3 ; -4) v 3 2 cú trc i xng x = ( 2 ) b) Kho sỏt v v th hm s va tỡm c cõu a) Cõu 1:... G v tớnh chu vi tam giỏc ABC b/ Tỡm trờn trc tung ta im M sao cho tng di cỏc on thng MB v MC T Toỏn - Trng THPT H Tiờn 12 nh nht Bi 1: Cho hm s y = f(x) = 3m x2 + 2(3m 2) x + 3 (m 1) a) Lp bng bin thi n ca hm s khi m = 2 b) Tỡm m th hm s ct trc ox ti hai im nm v hai phớa khỏc nhau ca trc oy c) Gii v bin lun phng trỡnh sau theo tham s m: 3m x2 + 2(3m 2) x + 3 (m 1) = 0 Bi 2: Gii v bin lun h... = x + 2 (d3 ) : y = x b) Gi A, B, C l giao im cỏc th hm s ó cho Chng t tam giỏc ABC vuụng c) Vit phng trỡnh ng thng song song vi (d1 ) v i qua giao im ca ( d 2 ), ( d3 ) Bi 2 : ( 2 im ) Lp bng bin thi n v v th ca cỏc hm s sau : a) y = x2 2 b) y = 2 x 2 + 4 x 2 Bi 3 : ( 2 im ) Xỏc nh bit parabol y = ax 2 + bx + c a) i qua im A (8; 0) v cú nh I (6, -12 ) b) i qua A( 0; -1) , B(1; -1) , C (-1; 1... VN theo VB,VC uu ur u u uu ur u r b Tớnh : VH theo VA,VC c Chng minh : N,H,V thng hng Cõu 1 (2 im): Tỡm tp xỏc nh cỏc hm s sau : x 1 a) y = 2 x + 5x + 6 b) y = 2 3x + 1 x+1 Cõu 2 (3 im): Lp bng bin thi n v v th hm s y = x2 + x + 2 Cõu 3 (2 im): Xỏc nh hm s bc hai bit th ca nú l mt parabol cú tung nh l i xng l ng thng x = 3 , i qua im M (1; 3) 2 Cõu 1: (1 im) Cho a, b, c l nhng s dng Chng minh... c) Tớnh di ng phõn giỏc trong BD Cõu 7: (2 im) Tỡm tp xỏc nh ca cỏc hm s sau: a y= x+4 + b y= 3 )cm 1 2x 2 (x + 2) x + 1 Cõu 8: (1 im) Xột tớnh chn, l ca hm s f(x) = 3x.x Cõu 9: (2 im) Lp bng bin thi n v v th hm s y = -x2 + 2x + 3 Cõu 10:(2 im) Xỏc nh hm s y = ax2 + bx + c (a 0), bit th hm s i qua cỏc im: A(0; 3); B(1; 4); C(-1; 6) Cõu 7: Cho ABC cú: BC = 2 , AC = 2, trung tuyn AM = 7 a) Tớnh . đồ thị (P m ) luôn đi qua B, dù m lấy bất cứ giá trị nào. Câu4. ( 2,5 đ ) Cho hàm số y = x 2 – 4x + 3 (P) a) Vẽ đồ thị (P) b) Xét sự biến thi n của hàm số. &678E793;=89;•S=9X;•<=E9W;W=&Mb026/A!JD3#s (& BÀI TẬP ÔN CHUYÊN ĐỀ 1&F‚+q : 3 m∀ ≠ VG 3 93 := < :y m x mx=