Bộ đề thi học kỳ 1 toán 10

  SỞ GIÁO DỤC & ĐÀO TẠO BÌNH PHƯỚC TRƯỜNG THPT PHƯỚC BÌNH    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_`],& ĐỀ 3 Bài 1. CQV#$2 3 −W2−::132−3& Bài 2. :?T-./,01 2 x 4x 1, neáu x 5 x 1, neáu x 5  − − ≤  + >  & 3?'6/JV#$9−:=2 3 K32−3K13VB2 : 2 3 a 2 1 x K 2 2 x 1X& Bài 3.cU78E+,JFd0e& :?F7 3 KF 3 1F8 3 KFE 3 & 3? MA uuuur & MC uuuur 1 MB uuur & MD uuuur & Bài 4.@\V]A!^2079><;>f=893;X=9>g;Y=P92;:=& :?@O[h+i$ u r  u r −< AB uuur 1 AC uuur & 3?@2J7P],& ĐỀ 4 Bài 1. CQ+,GU6V#$i:?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#$ :? { (m 1)x my 2 2mx y m 1 + + = + = + & Tổ Toán - Trường THPT Phước Bình 3 3? { mx 2y 1 x (m 1)y m + = + − = & Bài 3. ,012 3 K2K./G,9j=& :?@J9j=kJ79;3=89:;=9>:;W=& 3?Tl#Ib02()*+,+-./,& <?Ed./GUDV#$2 3 −<2KS−m1& Bài 4.678O&@*O7887GHG#IG 06JFj  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 i AB uuur +, AC uuur & <?NFj+[+l7& ĐỀ 5 Bài 1.CQV#$322−<132& Bài 2.@J :?j#$2 3 K39K:=2K9−:=132 : 2 3 a 2 1 x K 2 2 x 1S& 3?j#$X2−3K<132−<K"0 & Bài 3. 793;:=89W;<=9<;S=E9f;3=& :?N78G,6+[BO&@"678& 3?N678E8G,d& <?'6/B+,6m#noOV678& Bài 4.+[78EO& CAFG,3JN*O88F11 4 1 &@ DM uuuur & DN uuur i& ĐỀ 6 Bài 1. ,012 3 >S2K<& :?'()*+,+-./9j=D,& 3?E)+,./9j=b0GUiDV#$ 2 3 >S2Kf>19:= Bài 2.CQ+,GUV#$92K:=1 3 −W−32& Bài 3.678& :?@*8G 0JF+,_ MB uuur 1< MC uuuur +, IB uur K IC uur 1 0 r &Mb0J/ AM uuuur i AI uur +, AC uuur & 3?@UVIVJFaF7 3 >F8 3 K7 3 >8 3 1& Bài 4.@\V]A!^20793;>X=89>:;<=+,9X;X=& :?78G,pD!6& 3?@O!Jq FA uuur −S FB uuur 1 BC uuur & <?@O!J!r^0 NA uuur K NB uuur K NC uuur s & ĐỀ 7 Bài 1. '()*+,+-./9j=D,01 2 x 2 −2K:& Bài 2. CQ+,GU6V#$i :? 3 92−:=K<219 3 K<=2−: 3?−3K 4m 1 x 2 − − 1& Bài 3.678&CA_t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uG,AB6_tP& Bài 4.678781g71f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 Bài 1.,012 3 >S9−:=2K<& :?'()*+,+-./9j=D,m1& 3?@J,.*mQ9−3;K∞=& Bài 2.CQ6V#$+,V#$ Tổ Toán - Trường THPT Phước Bình < :?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+,_t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`*#n]01−3J78`],& ĐỀ 9 Bài 1. @0*JV#$"0 92;0=+l20G,0* { mx y 2m x my m 1 + = + = + & Bài 2. T-./+,GUVQ*D,012 3 −S2−3& Bài 3.CQ+,GUV#$i 2 x mx m 1 x 1 − + + + 1 x 1+ & Bài 4.+[78E#n781360Gl81<60a7E1& :?@6+[#l AB uuur & CD uuur  BD uuur & BC uuur +, AC uuur & BD uuur & 3?CA_G,JE&N7_+[+l8E& Bài 5.@\V]A!^2067879S;<=893;f=9−<;−g=& :?@A!DABC)BM+,B_D#noAVD678& 3?NCM_],& ĐỀ 10 Câu 1: Giải các phương trình sau: (2 điểm) a. :< : f3 −= − + x x x b) f<<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 −=++ 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) Tổ Tốn - Trường THPT Phước Bình S ĐỀ 11 7&jMvMwCM^@x@yz@M{4_M Câu 193J=, <2S20 3 +−= = T-./9j=D,& = @O!JD9j=+l#n]01<2|<& Câu 293J=CQ6V#$ = : S2 S 32 : 32 g2 3 + − = + − − + = W2332< +=+ Câu 39<J=@\V]O!^2079S;:=89:;S=93;|:= = N678G,6+[& = @O!B_+,6m}D#noOV678& = @O!JMG,+[D7*8& Câu 4: 9:J=N+lAG,)m6G[ ( ) S  :  :  33 33 ≥       ++ & 8&jMv}_~C Câu 5a9:J=CQV#$ :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#$ 9+lG,= ( ) <2 2 <2 22< + − = − −++ Câu 6b9:J=@6/DJV#$    =+++ =+− 30=<92=<9 0X2=39 ĐỀ 12 Bài 1 : =@@'ZD, : 0 2 3 < 32 = − − − . =F}+l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#n]01|<2|3sVG 3 0 2 2 = − + O3JVB  Bài 4 : 67879<;|:=89;S=+,ABC9S;|:=& &Mb026/A!p+,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d€ Bài 5 : = :  < α = − &@6/J <   F < | α + α = α α & =@6/J     7  3 &&& :W :g= + + + + ĐỀ 13 Bài 1 : ='(•D 3 j ‚ 2 }  2 <2 3 ‚= ∃ ∈ − − ≤ &LUVVD/D& Tổ Toán - Trường THPT Phước Bình X = { } { } 7 2 } ƒ 2 : 81 2 }ƒ 5 2 3 5 := ∈ > − ∈ − ≤ &Mb026/6UVIV 7 8;7 87 ƒ 88 ƒ 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iDV#$ − − = 2 |x x 6 | m & Bài 4 : 678O3AFG,JN*O8F813FG, JD7& & = − − uuuur uuur uuur 1 1 CMR :MN AB AC 3 6 & &jB uuuur AM i3+($ @ 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:=•:"#$& Bài 4 :  &,78EB^FG,JDA8^&Mb0J"„ AM uuuur i 7EAB uuur uuur & &@V20678&ZJ79|3;=89;|S=9|:;|<=&CAFGHG#IG,JD 8+,FAMG,JDF+,7P&Mb026/A!JM+,P& Bài 5 : 678783;81S;71<& &@ AB.AC uuur uuur & &CACG,AB678&@ AG.BC uuur uuur € ĐỀ 15 Bài 1=CQ+,GUV (a 2)x (a 4)y 2 (a 1)x (3a 2)y 1 − + − =   + + + = −  & =@@'ZD, 2 y x 1 3 2x = + + − Bài 2V 2 x 2(m 1)x 2(m 2) 0(1)− + − + = = F}j9:=G[3/*VB& = @ Q66/DJJ 2 2 1 2 1 2 A x x x x= + − + O6/a & Bài 3 a ( 1;1),b ( 2; 1)= − = − − r r +, c (x; 3)= − r & = Mb0VB+($ x ( 4;1)= − r i3+i a,b r r & = @2J+i c (x; 3)= − r +, a ( 1;1)= − r dV#$& = @J d (m 1;2m 3)= − + r +, b ( 2; 1)= − − r & Bài 4 : 678FG,J)I26/… 4AM AB 3AC= + uuuur uuur uuur & & F}<JF8],&ZJFO8ip,€ & 8 · 0 ABC 60= +, AB AM 3 3= = &@ AM.MC uuuur uuur € Tổ Toán - Trường THPT Phước Bình W Bài 5=2K21 7 &@ S S  2K 2 € =678 µ 0 A 60= 1:1<&@*O78G 0JE8E1:&CA`G, JE&@ AE.BC uuur uuur € ĐỀ 16 Câu 1 : V#$ 2 2 2 x y 2(a 1) (x y) 4  + = +   + =   &CQV+l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;|:=& &@!",#n7MD ABC∆ &@†0" ABC∆ & &@A!B#noOV ABC∆ & Bài 4 : &CQV#$ 2 2 4x 12x 5 4x 12x 11 5 0− − − + + = & &CQV x 1 2x 1 x 3 2x 3+ + − = − + + Bài 5 : T-9j= 2 y 2x 3x 2= + − +,9"=0132K:&'6/A!JD9j=+,9"=&E)+,. /GV 2 2x x 3 m 0− − + − = & ĐỀ 17 Câu 1 : CQ6V& x x 1. x 1 x 4 + = + + & 15 x 3 x 2− = − + & Câu 2 :  @ Q66/DJV#$"0  (m 1)(m 2)x m 2 2x 1 − + = + + & Câu 3 : 678*O8G 03J_t8_1_t1t& &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+($ u r & Câu 4 : CQ+,GUVi x my 3m mx y 2m 1 + =   + = +  & @JG*c2+,0m[Vr!+,& Câu 5 : @JV 2 mx 2(m 1)x m 0− − + = 3VB+,,0 VSGHm& ĐỀ 18 Bài 1 : CQ+,GU6V#$ & 2 m x 6 4x 3m.+ = + & (x 1)(x mx 2) 0− − + = Bài 2 : CQ+,GUV#$ x m x 2 0 x 1 x 1 − − − = − + & Bài 3 : @V2079|<;<=+,89S;S= &@JF!278],& &@J!0678+[O& Bài 4 : @*6O7887D678GHG#IG 06JFj 1 1 1 AM AB,BN BC,CP CA 3 3 3 = = = uuuur uuur uuur uuur uuur uuur &F}3678+,FjdAB& Bài 5 : 67879;|:=89:;3=9S;:=& &F}678G,6+[B& &'6/B#noOV678& ĐỀ 19 Tổ Toán - Trường THPT Phước Bình f Bài 1 : @@'ZD, 2 3 0 3 < 32 − = − − . Bài 2 : & @ Q66/DJV#$ 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#n (& BÀI TẬP ÔN CHUYÊN ĐỀ 1&F}+l : 3 m∀ ≠ VG 3 93 := < :y m x mx= − + + G[kJ/& 2. 3 9 =  S <P y x x= − + +, 3 9 = 3d y mx m= − & =@A!JD 9 =9 =P d m :m = & =@ m J 9 =P s 9 =d OJVB A B &@UVIVJ I DO AB & 3.CQ‡ : 3 x x G,6Dj@ 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#$ < 3 3 3 93 <= 93 Y= 3 < f x m x m m x m m− + + − + − + − = & @6/Gl 6/a D 3 3 3 : 3 < : 3 < A x x x x x x= + + + & 5.j@ 3 3 x x m− + = +, 3 3 < x x m+ − = &@ m Jj@ =& =@#$#$& =62im-& 6. 3 S S 9 <= 3 < mx y m x m y m  + = +  + + = +  =CQ+,GUi m & =@#nIV"0    9 ; =x y b0!G*c   x y  m[Vr!+, m & 7.@d0i6/ a b06/a DJ 3 3 9 < 3= 93 g=A x y x ay= − + + + + & 8.CQ = 3 3 3 3 3 < 3 3 < 3 x x y y y x  − = −   − = −   = 3 3 3 3 < 3 :: 3 < :f x xy y x xy y  + + =   + + =   = 3 3 3 g 3 S x y xy x y  + + =   + =   & 9.@ m J : 3 < x y x x y y m  + =   + = −   & 10.CQ6j@ = 3 3 3 : 3 3 <x x x x x− + + − = + − = 3 3 3 X 3 3& 3 X W :x x x x+ + − + + = & = 3 < X 3x x x+ − − = − "= 3 Y Y Yx x x x+ − = − + + & 12.@ A D ABC∆  ABC∆ m[B+,6O  a b c ab 3 3 3 3 9 = 9 =b b a c c a− = − & 13.J 9 <;3=A − +, 9S;<=B &@A!DJ C * Ox 6 A +, B 14& ABC∆  3 3 3 3a b c+ = &N < 9 = 3 a b c m m m a b c+ + = + + & 15.@\V]+lA!)ˆ Oxy <J 9 W; <= 9 S;<= 9Y;3=A B C− − − & =@A!)B H AB G B#noOV O D ABC ∆ & N  H G O ],& =@A!B#nVB6+,VB6,D A & Tổ Toán - Trường THPT Phước Bình g ĐỀ 20 Bài 1LUVQ*+,+-./9j=D,012 3 |<2K3 E)+,./Mb066/D22 3 |<2K31;2 3 |<2K3 Mb0mJV#$2 3 ><2K3|m1& Bài 2.=CQ+,GUV#$9S>=2K:W| 3 1 =CQV#$ X< −=− xx  =@JV#$    +=+ =+ : 3 mmyx mymx !"0 & Bài 3.&@rO!^20J79|S;:=;89:;:=+,9:;W=&@+D6 78+, ACAB& &407D678& Bài 4 =@JV#$9>:=2 3 |39>:=2K><1VB& =678&Mb026/JF <  =++ MCMBMA ĐỀ 21 Bài 1LUVQ*+,+-./9j=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‰ 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 @rO!^20J79|3;3=;89:;X=+,9|X;3=&@++, ACAB& &407D678& Bài 4 =@JV#$2 3 |39|:=2K 3 K<1VB& =678&CAF`GHG#IG,JD6O87+,78&N    =++ CEBNAM ĐỀ 22 Câu 1:A1Š;X‹B193;f=C 19:;<=& '6/6UVIV+,J"„•*r B ∪ C, A \ B,A ∩ B Câu 2:='6/J./D, y ax b= + k6J79:;<=89<;:=&  =LUVQ*+,+-./9P=D, 3 < 3 :&y x x= − + − Câu 3: =8 <  3 a =  3 3 <  SP c α α = + & =@V9^20=67879;W=89|3;3=+,9S;S=& 78G,6+[B&@"D678& Câu 4: 9:;3=a = r  9<; S=b = − r  9 X;<=c = − r & = @A!D+i$ 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=& Tổ Toán - Trường THPT Phước Bình Y = @+[#l &BA BC uuur uuur +,8& = @A!J6OA!ABC)BM+,O!B_D#no 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kJM(-1;2)+,r 2G,#n]21: Câu 293=CQ6V#$ :& 3 S Y 3 fx x x − − = + 3& X : gx x + = − Câu 39:=V#$(m -1)x 2 - 2mx + m + 2 = 0&Tl6/,DV#$* 2 : 2 3 ab5(x 1 + x 2 ) – 4x 1 x 2 - 7 = 0 Câu 49:=TlG,6)m6&  3 3 3 3 3 3 a b c a c b b c a c b a + + ≥ + + Câu 59:=WJVB78E`qN AD BE CF AF BD CE → → → → → → + + = + + Câu 69<=@\V]^20A(-4;1), B(2;4), C(2; -2) &J78m[],& &@A!JE78EG,,& &@+D678& ĐỀ 24 Câu 193= :&LUVQ*+,+-./,y = x 2 - 4x +3 3&'6/,Uy = ax 2 + bx - 1N./Dr2G,#n] : < x = +,kJA(-1; -6) Câu 293=CQ6V#$ :& 3 X : 3 Xx x x + + = +  3& 3 3 < X :x x x + − = + Câu 39:=V#$x 2 - 2(m + 1)x + m 2 + m = 0&Tl6/,DV#$* 2 : 2 3 ab 3 3 : 3 Sx x + = Câu 49:=TlG,6)"#$& : : : g a b c b c a     + + + ≥  ÷ ÷ ÷     Câu 59:=BXCA`qGHG#IG,J6O7E+,8D678E& N →→→ =+ q3 EDCAB & Câu 69<=@*\V]^20J ( ) ( ) ( ) S;<W;3;X −−CBA & = J78m[],& = @O!JE78EG,,& = 678+[O7&@"6& ĐỀ 25 B:93==PQ6+,+-./, 33 3 −+−= xxy =TV#$#n]012K#n]+l#n ]01<2|3+,kJM(-1;2)& B393=CQ6V#$= <3X< 3 −+=− xxx = SSW 3 +=+− xxx B<9:=V#$ 3=:93=:9 3 =−+−−+ mxmxm &'6/JV#$ !N<&@oGO& BS9:=F} cbacabcabcba  333 ∀++≥++ Tổ Toán - Trường THPT Phước Bình : [...]... Bỡnh 18 b) Biu din tp hp D E trờn trc s 1 Gii v bin lun pt : (2) m 2 x+2=m(x+2) 2.Gii pt: 3x +1 +x=2 (2) 3 Tỡm 3 cnh ca tam giỏc vuụng bit cnh di nht hn cnh th hai 3m, cnh ngn nht bng th hai (3) B T LUN : ( 7 im ) Chiu cao ca 50 hc sinh lp 5 ( tớnh bng cm ) c ghi li nh sau : 10 2 10 2 11 3 13 8 11 1 10 9 98 11 4 10 3 12 7 11 8 11 1 13 0 12 4 11 5 12 2 10 7 13 4 10 8 11 8 12 2 99 10 9 10 6 10 4 12 2 13 3 12 4 10 8 10 2 13 0 10 7 14 7... 10 2 13 0 10 7 14 7 10 4 14 1 10 3 10 8 11 8 11 3 13 8 3 cnh 4 10 1 12 6 10 9 11 4 11 2 a) Lp bng phõn phi ghộp lp ( 98 - 10 2 ); ( 10 3 - 10 7 ); ( 10 8 - 11 2 ); (11 3 - 11 7 ); ( 11 8 - 12 2 ); ( 12 3 - 12 7 ); (12 8 - 13 2 ); ( 13 3 - 13 7 ); ( 13 8 - 14 2 ); ( 14 3 - 14 7 ) b) Tớnh s trung bỡnh cng c) Tớnh phng sai v lch chun 2 A T LUN : ( 7 im ) im trung bỡnh kim tra ca 02 nhúm hc sinh lp 10 Nhúm 1 : 9 hc sinh 1, 2, 3, 5, 6,... = 0 cú 2 nghim phõn bit ( 1 im ) Cõu 11 : cho tam giỏc ABC cú A (1, 1), B(- 1, 3) v C(- 3, -1) a) Vit phng trỡnh ng thng AB ( 1 im ) b) Vit phng trỡnh ng trung trc () ca an thng AC ( 1 im ) c) Tớnh din tớch tam giỏc ABC ( 1 im ) cõu 12 : s tit t hc ti nh trong 1 tun (tit/tun) ca 20 hc sinh lp 10 X trng MC c ghi nhn nh sau : 9 15 11 12 16 12 10 14 14 15 16 13 16 8 9 11 10 12 18 18 a) Lp bng phõn phi ri rc... ) b) i qua A( 0; -1) , B (1; -1) , C ( -1; 1 ) Bi 1: Chng minh rng nu a > b v ab >0 thỡ 1 1 > a b (1 im) Bi 2: Tỡm giỏ tr ln nht v giỏ tr nh nht ca hm s: f ( x ) = ( x + 3)( 5 x ) vi 3 x 5 (1 dim) Bi 3: Gii h bt phng trỡnh sau: (1 im) 5 x 2 > 4 x + 5 5 x 4 < x + 2 Bi 4: Xột du tam thc bc hai sau: (1, 5 im) f ( x) = x 2 + 4 x 1 Bi 5: Gii phng trỡnh: (1, 5 im) 2x 2 + 4x 1 = x +1 Bi 6: Xỏc nh min... cho A( -1; 1), u u r C(2;-5) B (1; 3), uu ur u u ur ur a Tỡm ta M sao cho MA - 2 AB + BC = 0 uu ur b Tỡm ta vect AN vi AN l trung tuyn ca tam giỏc ABC Bi 1: (1 im) Tỡm min xỏc nh ca cỏc hm s sau: a) y= 1 x x2 b) y = x( x 2 + 1) 1 x Bi 2: ( 1 im) Gii cỏc h phng trỡnh sau: T Toỏn - Trng THPT Phc Bỡnh 13 2 17 3 4 x + 3 y = 3 b) 5 3 x y = 11 5 2 2 Bi 3: ( 2 im) Cho hm s y = x 4 x + 3 (1) 2x + y = 1 a)... + x T Toỏn - Trng THPT Phc Bỡnh c) x 2 3x + x 2 3x + 2 = 10 11 Cõu 3: (1) Cho phng trỡnh mx 2 + 2( m 1) x + m + 1 = 0 Tỡm m phng trỡnh cú 2 nghim 1 1 tha : x + x = 4 1 2 Cõu 4: (1) Cho hỡnh bỡnh hnh ABCD tõm O Vi im M tựy ý, chng minh rng : MA+ MC = MB + MD ( a, b > 0) Cõu 5: (1) CMR: a + b + ab + 1 4 ab Cõu 6: (3)Cho 3 im A( 3 ;1) , B( 2;4 ) , C ( 5;3) a) Tỡm D sao cho t giỏc ABCD l hỡnh... (P): y = ax 2 + bx + c a Tỡm (P) bit (P) i qua A(2; -3) v cú nh I (1; - 4) b V th (P) va tỡm c Cõu 2 : Cho phng trỡnh x 2 - 2(m - 1) x + m2 - 3m = 0 (1) a Xỏc nh m phng trỡnh (1) cú nghim 2 2 b Xỏc nh m phng trỡnh (1) cú hai nghim x1, x2 tha x1 + x 2 - x1 x 2 = 10 c Xỏc nh m phng trỡnh (1) cú mt nghim dng Cõu 3: mx - m - 3 =1 x +1 ỡ xy + x + y = 5 ù ớ b Gii h phng trỡnh: ù 2 ù x + y2 + x + y = 8... : 1/ 2/ Cõu 5 a) (3 im ) : Cho f 2 5 > 2x + 1 x 1 3 2x x (x ) = ( m + 1 ) x 2 2 ( m +1) x 1 Tỡm m phng trỡnh f (x ) = 0 cú nghim T Toỏn - Trng THPT Phc Bỡnh 19 b) Tỡm m f (x) 0 , x Ă Cõu 6 (1 im ) Chng minh bt ng thc : a+b+c ab + bc + ca vụựi a , b , c 0 Cõu 1: ( 2 im ) Cho phng trỡnh sau , trong ú m tham s thc ( 2m + 3 ) x2 + 2( 3m +2 )x + m 1 = 0 Xỏc nh m phng trỡnh cú 1 nghim bng 1. .. trỡnh: a) 3 x 1 = 2 x + 3 b) x 2 + x + 1 = 3 x Cõu 3: (1) Cho phng trỡnh: (m + 1) x 2 2(m 1) x + m 2 = 0 Xỏc nh m phng trỡnh cú hai nghim tho 4( x1 + x 2 ) = 7 x1 x 2 Cõu 4: (1) CMR: a2 +5 a 2 +1 4 Cõu 5: (1) Cho tam giỏc ABC Cỏc im M, N, P ln lt l trung im ca cỏc cnh AB, AC, BC Chng minh rng vi mi im O bt kỡ, ta cú: OA+ OB + OC = OM + ON + OP Cõu 6: (3)Cho 3 im A(2;5), B (1; 1), C(3;3) ... ca ABC Bi 1 : Gii cỏc bt phng trỡnh sau : T Toỏn - Trng THPT Phc Bỡnh 21 a) 3x 2 + 13 + 2 x < 1 2 2 b) x 5x + 4 > x + x c) x + 3 + 2 x + 7 < 4 x + 21 Bi 2 : Cho f(x) = mx2 2mx + 3m + 1 nh m bt phng trỡnh f(x) 0 vụ nghim Bi 3 : Cho phng trỡnh : (m + 1) x2 - (2m - 1) x + m = 0 (1) nh m phng trỡnh (1) cú hai nghim x1 , x2 u khụng ln hn 2 Bi 4 : Trong mt phng Oxy cho ABC vi A(3 ; 4) , B (1 ; 3) , C(5 . 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. 4.@V]A!^2079><;>f=893;X=9>g;Y=P92;:=& :?@O[h+i$ u r  u r −< AB uuur 1 AC uuur & 3?@2J7P],& ĐỀ 4 Bài 1. CQ+,GU6V#$i:?9 3 K=2 1  3 −: 3? x m x 1 − − K x 1 x m − − 1 3& Bài 2.CQ+,GUV#$ :? { (m 1) x my. hành Câu 7:Tìm m để phương trình: mx 2 +(2m +1) x+m-2=0 có 1 nghiệm (1 điểm) Tổ Tốn - Trường THPT Phước Bình S ĐỀ 11 7&jMvMwCM^@x@yz@M{4_M Câu 1 93J=, <2S20 3 +−= =