ĐỀ CHÍNH THỨC Thi gian lm bi: 180 pht, không k thi gian pht đ!. !"#$% &' mmxxy +−= !"#$%%&'()* +,!-!.(/012%.(34/'( 5-%6-17817-!09:;"<-= &' > ?@A-., − −=−+ xxxxxx BB ππ +,?@A-.,20-:92CD mxxxxmxx =−−−+−+ &' +;;?E ∫ + − = dx x x xI &'( ,F-.GH-343I4II0!C34-!%2-13J-034"<-B J 34*J1"$33I*>K.2-14II+;) -!L#M ?N-3I4O &'( PCQ!)-E"D)R+,-!.(6D/"2H ++ + ++ + ++ = xyz z zxy y zyx x P SS!)*+, */*0123/45667889:.;*<-=*>.?=*>.*:@/ A 3*B:/*2C.;89D.**'E. &'( +.-M?N-%6:178PC@T-.U =++ yxC % =+− yxC V#?@A-.,@T-N-W"#@T-N-W#?PX %6@T-.U C '-T@T-N-WY@T-.U C 1?E":Z [Z[* +.-)--%6:8PCQ@T-N-W − − = − = zyx JW + = − − = zyx %M?N-\P]C]Q]*+,17.$@T- N-W %^.$@T-N-W ^--%6M?N-\'- T) -!-_@T-N-^%6M?N-\"<- &'( +,?HQ ` =+ zz % =z 4*B:/*2C.;89D.*&.;/<: &'(" 3J4aJ%97-.$@T-N-9C*PP ±≠ b@T-N- 34Y.G.G2-c@d1\eH-\e2f27 ( +.-:8PCQ@T-N-W − == zyx J%JJaV#?@A- .,M?N-\f2--%6@T-N-W'-T) -! -_@T-N-W%6M?N-\"<- &'("> ?@A-., - - Rxx x x x ∈= + !!!!!!!!!!!!!!!!!!!F!!!!!!!!!!!!!!!!! ?A G" HI" bSg Sa +hij CI*P kBP* ⇔ P*MP* " -" P CI ]a] C Sa bl2):012 ≠ m.(/'(3J4Ja n n \@T-N-83P*J mOyBdOABdmOA J === i:;-!834 B ±=⇔=⇔= mmmOABdOAS n n SSa n −=∨=⇔=−+⇔ +=+⇔ −−=− + ⇔ xxxx xxx xxx x PT π π Zkkx ∈=⇔ π n n n n SSa +DCP -:,kP o--:?i90?0-:92CD) P *aP CP * V6P * 2C.*J*J*a bl2):/*C%? =⇔=−−⇔=−−−+⇔ xxxxxxx * =−−−+−+⇔ xxxxxx ?0;D-:P*JP* *a =⇔=−−+−−⇔ xxxxx VpC*J*a n n n n SSS bM −= − = ⇒ = + − = B B x v dx x x du dxxdv x x u i0 n n B −−=− + − −= ∫ xdx x x xI n n VS 3* J4*3I*3Im@T--!%2-3I4II q2C.3m* J3m%2--04I4I i:;-!4q 4 *B +;)0?3I4 V 3I4 * r aSHA MBC = >K4IS@T--!l23I4I aBIMABIaIB JrJr =⊥=⇒ i:;-!3I4 r r aMABIS BMA == +;)0?3I4 aBMACdaSMBACdV BMABMAC rr rr =⇒== n n n n V s?9G-"C0 B xxxx ≥++=+ ^#2P*C*Q*,\*^#2C*Q*, B ≤ + = x x P ^#2Q*, B B =+≤ + + + = y y x x P bN-HP C.)P*C* ht "PCQl29@A-+L2C. zyx x yzx x B + ≤ ++ J +@A- J B xzy y xzy y + ≤ ++ xyz z yxz z B + ≤ ++ \ ≤ zyx x B + ] + + xzy y B xyz z B + * + + + + + z xy y zx x yz bM z xy c y xz b x yz a === ,"u%"*0 ++++++ ++++++ = + + + + + ≤ v acbcabcba acbcabcba cba P s?9G-C =≥++ abccabcab i0 acbcabcbaacbcabcba ++++++≥++++++ v +L%2C. ≤P bN-HP C.)*"**CP*C*Q* n n n n VSa b@T-.U 0ES Jaj *J 0ES Jj* b@T-N-W! ES 7) - = − EF R +m^#2W%2--0%68PW091-Pk*J9S JW*j %9S JW*0 *%pCWPa* +mW)-%2--0.G8PW)PkC]"*+L-09S JW*j %9S JW* +0: = = ⇔ = + + = + + b k k bk k b \@A-.,@T-N-WCa* n n n VSa >KJaJa ∈ W J^)Ja)Ja]) ∈ W JJ −+++−−= tktktkMN V?/\ JJ=n +L-^ww\%9^\* +0: −== == ⇔ = − =−+ ⇔ = = J J vB vvv J kt kt t kt PMd nMN VpCJJ^JJM n J = J − − ^a = J J − n n n VSS >K?HQ*P]CPC ∈ j+0 yixzxyiyxz −=+−= J +L-0:? n −= =−−+−+ ⇔ =−++− =+ xy xxxx yxyxyx yx J ==⇔ yx MP*JC*a MP*aJC* VpC0?Hx*ax* ± n n VS"a >KJ279C*Pb@T-N-30%? J −− mmAM 0? aPkkCk*3Y.G8P JJ ≠ − m m m P b@T-N-40?aPk]C]*Y.G8C1e J +m m J ≠ a \@T-N-\ekP]]CkB*%6 ±≠m SP JC (/\e+0P ]C kBkP ]C *0-:%6K ±≠ m 00: = = ⇔ =+− =−+ B y x yx yx VpC\ef2(SJ n n n n VS"a >K JJ cban 7%?/?\b@T-N-W0%? JJu f2 3JJ\M?N-\f2JJaP]"C]Qk"]* +L-0 −= −= −−= ⇔ = ++ − =++ ⇔ ==∆ = cb cb cba cba bc cba PAdPd un = JJ VpC0?\P]CaQk=*%Pk=C]Q]B* n n n VSS" b)PubM*- P ⇔ P* \@A-.,091- ( ) ( ) ttt ttt t t +=++⇔=−+ + htyP* P ]PJyIP* P P]u%6KPmyP'-"#.$j \ ⇔ ]* ⇔ * ⇔ P* n n n n . ĐỀ CHÍNH THỨC Thi gian lm bi: 180