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Bài tập trong sách giáo khoa Yêu cầu các em học sinh cần xem lại hệ thống bài tập trong sách giáo khoa có liên quan đến những nội dung kiến thức đã nêu ở trên B. 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+   O))L )L )op%",*+L [@ )M C∈ -./=\*+=m#A,. IAB∆ ('L 28.O< Q P P x y x − = −  O))L)Aq"-?9"--/*%.+ a"*-?9"$@< Q Q P %" P x m x − = − P Tổ Toán-Trường THPT Vân Nội 29,O< Q R x y x − = −   O))L) O)L )OT m R ∀ ∈  <d y x m= − + %.7\ O)=Q,-M*m#AL[@,mAV Q Q 30.O< R Q x y x + = − C O)L ) O)L)OT<?W"X" G</VHY%.7\ O)=Q,-M*q$ :)L[@,B" "tQ,C%"\'L 31, O R R x y x − = + )OT+/VHYQ/VH%$EHK"L) [@s.8"B"3$E="$('L 32, [@$x.<R#/V Q Q Rx x+ + Q Q # Rdy x x= − Q P# RQy x= − # Q P Z# dy x x= − w# P Q Qy x c x= − − [ ] Q d#  P # hgy x x x π = − ∈  Q y# Rh x y x = − P Q i# d x y x = −  P e# y ) wy x x= + − 33,[@o[1s#o[ss .C)< ( ] R# # Qgw Q x y x x = ∈ − +  ( ) R Q# P # Qg Q y x x x = + + ∈ +∞ − [ ] Q P# Z w# QgPy x x x= − − ∈ −  2 x 1 4,f(x) x 1 + = +  2 5,f(x) x x 2x 2= - - + R w d# # g H P d y x π π   = ∈     P y# Q  Q # hg Q y x x x π   = + ∈      [ ] i# w Q # ZgRy x x= − ∈ −  Q e# Ry x x= − [ ] Rh# w Q # ZgRy x x= − ∈ −  Q RR# Rdy x x= + −  [ ] P Q RQ# Q P RQ R# PgQy x x x x= − − + ∈ −  P Q RP#  d e Ry c x x x= − + − P RZ#  Q Hy x c x= − +  Q Rw# Q Q Ry x x= + +  Q Rd#  Q  H  Qy c x x= − +  Bài 2 Bài toán về hàm số mũ và hàm số lôgarit 1#[@+-Hx.< )QP%" # QP xxxya +−=  x x yb − − = Z RQ %"# P R)Q %"# Q R +−= xyc  Q w QR %"# i#h − − − = x x yd w e %")ZP %"# Q Q i + − +−−= x x xxye Z Z %"P)dw %"# P#h Q P + − −++−= x x xxyf  [ ] )eP) QQ %"# R −−= − xx yg P )R P# − −= xyh Z Q wZ# −−= xxyi P P )Qy # π −= xyj d R Q )d # −+= xxyk e xxxyl )QP # QP +−= 2#[@.B*,x.H&H< )Q%" # Q +−+= mmxxya  )PQ %" R # Q P mxx yb +− =  [ ] mxmxmyc +−+−= )P Q)Q %"%"# Q PQ 3#Tu",.K. &",.KC"6) ( ) ea eaeaeaA a aaa %" Q % P %"P%Q%"%%"% QQ Q −−++−++= Z w Z R Z e Z R Q R Q R Q P Q R R Q Q R Q R <QR aa aa bb bb ba a b a b B − − − + − +                 −         +−= − − −                  ++         + + + = PP P R P R dd P R P R Q<< a b b a ba ba abba C 4#[!< P P R P R P R Zw%"PZhh%" Q R d%"Q +−= A  Q y %"i RQw %" Z e %" Q R Z R ZeLQwiR         += − B w R Qw#h Z P PQ Re yiRhhhh Rd R       −+       = − C 5#[@"$%&'x.< R Rh# ++− = xx ya  xsco yb Q )w#h # = Z Tổ Toán-Trường THPT Vân Nội 6#[@o[ssx.< xx eeya − += #  xx yb −− += PR QQ#  R Q # + = x x yc π xscox yd QQ  ww# += 7#o-?9"$@.< h)R% %# =++ xxa  h)y% )P% )R% # =+−+++ xxxb  xxxc e%"%"%"# Q =+  PZ %"QZ%"%"# xxxd +=+ [ ] P Q %"Q)P) Q %"# ZZ + − −=++ x x xxe  )Q %"Q%")Q %"# Pw P −=− xxxf  hR)Rhd %")P %"# Q Q Q =+−−− xxg xxxh %)R% )QZ% # =−−+  hRQ%Z%P%# QP =+−− xxxi Q%"%"%"%"# ZQQZ =+ xxk R %"Q Q %"Z R # QQ = − + + xx l  )Q %"w%"QR# wQ +=+ + xm x P %" P Q P %"P RhRhh# = − xx xn  de# %"e%" =+ x xp 8,o-?9"$@.< ( ) P w P P Q P R Ryw#h# x x a − −       =  xx xxx b + −− =       Q P Q Q P y y R #  w Ry y P #PQ h#QwLRQw x x x x c + + − − =  hwQwLPwLdw# RR =−−+ −+ xxx d ( ) ( ) xx e QRhP QQPQQP# − +=−  R Q P R Q #P P P eLw w w x x x x x x f + + + + + + + = + +  ZhhwLQ# P %" Q P %" = xx g  hRyLyRyLwyw# QQ =+−− xxxx h  hRdLPRQeLZ# =−+ xxx i  hQQZLQi# =−++− xxx j yQQLP# R = + xx k 9,o-?9"$@.< w Q #P R x a − =  Q w Z R # Z Q x x b + +   =  ÷    P Q y R P #d Q LP x x x c − − − − =  Q P P R w #Rw w LP x x x d + + + = Q Q Q # w w x x e −     =  ÷  ÷     Q P R R # R P x x f − +   =  ÷    Q R #Q Z x x g − + =  Q R R Z Q i # i Q x x x x h + − + − =  w Ry y P #eLQZP QRiy x x x x i − − + + = 10#o-.< Z # %" P Ra x − =  Q P Q P #%" %" R %" %"b x x x x+ = +  [ ] Q #%" Z) Q) dc x x+ + = Q Q Q P R #%" %" h R x d x x − + = + Z P R R Z P R R #%" %" %" %" R R x x e x x − + = + −  R Q P R Q #%" %" h R x f x −   =  ÷ −    Q #%" R) %" w Q )g x x x− + = − 11#OG?9"##7B.BRLOT< b c c b a aa QQ %"%"# = R%"%"%"# = acbb cba #[$"P a b c a b c a c c b b a QQQ %"#%"#%" %.7C!'%&9R 12#[!=.$+-HC xeya x Q# RP + =  R%# P −= xyb  ) %"# Q Q x exyc +=  sxcox yd + =  w#  xxye %)%R # += x x yf % # = )R% # QQ += xxyg  xx xx ee ee yh − − + − = #  x exxyi − +−= )QQ # Q  x esxcoxyk Q ) # −=  xx eyh −= − Q# P Q RPZ# −−= xxyi  Z R Q )P # −+= xxyj  wQ )QP # +−= xxyk  PP )i R # − = x yl  w Q QP# xxym −−= 13#[@'"$,-?9"$@ ( ) Z QZ Q Q R Q − −− = mxmx C"*G./' 14#o-?9"$@.< ewZ# =+ xx a  hwQP)LQ Qe# =−+−+ xxb xx xxf PQ %")R %"# =+ )RQ Q)P QL# −+−= xx xxxc  x xd Z %"# Z =  Z)Q%" )d%" # Q ++=+−− xxxxe  xg x Q R %"Rd# = Bài 3 Bài toán về thể tích của khối đa diện và mặt cầu 1#O@C-K".zLmAOj=/%#=CG%QLo%$.", zAL#j"G*={- mj)&@C-zLmAOj&"|G*\zO= w Tổ Toán-Trường THPT Vân Nội sL[G*%@"@U#[G*@C-QBG*L#[!,!@ C-zLmAOjaG#OT L L R Q S AMD S ABD V V = 3C./$ LS AMD V a 2#O@C-zLmAOjC/mAOj%@Mv#=#"CAq"dh h #zm.7""C - mAOj)#zmV Q a #"%M?W".7""C=3mH."zvL #[!,!BC-zLmAOja #OK""zvj.7"=vm.7""C&N-X" zAj) #[!,!BC-mLzAja 3#OBC-zLmAOC?W"zmVQ#"mAO.7"{OCmAVQ#"COmAq" Ph h Lo:%@..7""Cm$zOLA}%,HK"AI.N-X" zmO)L  #N-X" :mA)BC-BC-L,BC-CF:g #[!,!BC-zLmAOa #OK" ) HACBC ⊥ g G#[!,!BC-:LmA}Aa 4#O@%D"$EK"mAOLm}A}O}C/%"mAO.7"=AmAV#AOVQ# mm}VPLN-X" >)I.m.7""C&Om}%J%?r\=X"OO}AA} =#s #[!,!BC-OLm}mAa #OTms#m}A.7""C&. #[!,!BKG*m}msa G#[!G*!"msa 5#O@C-zLmASC/mAO%R".=#zmq".7""C&/Lo :p%J%?r%$M"mAOzAO #OTp:.7""C&- zAO) #[!,!BKG*p:AOa 6,OBC-K".zLmAOjC/%@.7"mAOjMv#=Lo~%$." ,AOL #OK"- zv~).7""C&- zAO)L #o:%@..7""Cv$ zAO)#v:V•ZL[!"C={ zAO) mAOj)L #[!,!BC-zLmAOja#3C!F,!BKG*:vAO ,!BC-zLmAOja 7,OB%D"$E.mAOLm}A}O}Cmm}V#mAVLo#s#>%J%?r%$.", =mA#mOOO}L- s>)\=AA}=€L[!,!SB7G*>€AOsa  8,O@C-zLmAOC/mAO%".7"=A ) ABCSA ⊥ L )ov%$.",zOLOK"< vmVvAVvOVzvLz./$,m#A#O#z •"q$NJ.MvB! Q SC R = L )OzmVAOV QaAB = L[!B!NJ. 9,O@C-zLmAOjC/mAOj%@.7"= # ) ABCDSA ⊥  PaSA = Lov%M@.7"mAOj%@.A$zO )Ou",v#m#•"@=zAG?&"C.7"Lz./$D,z#j#m# A•"q$NJ.?W"B!zAL )cMB!NJ.C$L 10,O@C-K".zLmAOjC=/= .q"LcMB!NJ.I.D,z#m#A#O#jL 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PHẦN CHUNG CHO HỌC SINH CẢ HAI BAN (6,0 điểm) Câu I P,)O R PQ + + = x x y R# O)L Q#O$X"GC-?9"$@< mxy += CQ,."-M*& O)#&"$ Câu II R,) R#[@"$%&'"$(' PZ Q +−= xx eey $khg%Zl Q#O R% R% ) + − = x x xf L[! ) … Q ef L Câu III Q,)[@'"$H< R# hR)Rdd %")QQ %" Q Q Q =+−−−− xxx  Q# xx )RQ )RQ Q +≥− − II. PHẦN RIÊNG DÀNH CHO HỌC SINH TỪNG BAN (4 điểm) (Hsinh thuộc ban nào chỉ được làm phần dành cho ban đó) A, Học sinh ban khoa học tự nhiên y Tổ Toán-Trường THPT Vân Nội Câu IVa R,) [@'"$Cu""$-M*•"G'.H< Q )R%" )%" = − x mx  Câu Va P,)O@C-zLmAOC/mAO%".7"M=mLO=zm.7""C &N-X"/zmVLO=zA=&N-X"/"Cdh h L R#[!,!BC-zLmAOQ#[@M!G*!NJ."=-@C-zLmAOL B, Học sinh ban cơ bản và ban khoa học xã hội Câu IVb R,)[@'"$,-?9"$@.C"*< hPPLQQy QRQ =−+− ++ m xxx Câu Vb P,)O@C-K".zLmAOjC=/%"zmO%".L R#[!G*!N@C-zLmAOjQ#[!,!BC-zLmAOjL Trường THPT Vân Nội ĐỀ THI HỌC KỲ I – NĂM HỌC 2009-2010 TOÁN 12 - TG: 100 phút I. PHẦN CHUNG CHO HỌC SINH CẢ HAI BAN (7,0 điểm) Câu I P,)O P Q / V H P Zx− + R# O)L Q#S-?9"$@-./ O)-./"""&?W"X"C-?9" $@ e Zy x = − Câu II Q,)[@'"$H< R# Q R w ZLw R h x x+ + − =   Q Q#%" %" e R) R hx x − + + = Câu III Q,)O@C-K".zLmAOjC=/q""C"t=N/ q"dh h L R#[!,!BC-zLmAOa Q#[!B!NJ."=-@C-zLmAOja II. PHẦN RIÊNG DÀNH CHO HỌC SINH TỪNG BAN (3,0 điểm) (Học sinh thuộc ban nào chỉ được làm phần dành cho ban đó) A, Học sinh ban khoa học tự nhiên Câu IVa Q,) R#[@'"$Cu""$G?9"H< Q Q Q Z Q P) Q Z) Q Z x x m x m x x x m m π π + − − + − − = + − + + Q#[@+-H Q R R %" P d d) y x x x = − + + − +  Câu Va R,)OBJ.CB!TL[@,!%&'B$E-BJ. ?W" $‚/B$E.NJ.)L B, Học sinh ban cơ bản Câu IVb Q,) R#[@'"$,- Q Q P Q P %" Z Q ) %" Q R) hx mx m x + − + + + − = C"*G./'L Q#O ) Q%" yf x x = + L[!"$,.K Q R) PhL … Rh) %Rh f A f= − L Câu Vb R,)[G*I.$E@C%".7"MC=./q" Qa L[! G*!H."I.@C,!BC?9"K"L i . AHM!B!NJ."=-G* II, HỆ THỐNG BÀI TẬP A. Bài tập trong sách giáo khoa Yêu cầu các em học sinh cần xem lại hệ thống bài tập trong sách giáo khoa có liên quan đến những