S GDĐT ĐNG THP TRƯNG THPT THP MƯI     !"!#$%&'()*+$"*,( !"!#$&-(./0 I.Phn chung cho tt c cc th sinh: ( 7 đi%m) Câu I ( 3 đim): 12345 6 6 +−= xxy   7824-(49:!;$(!<$=3=>.?(@345.A2  B9#=32.?(@345(C<$D:!E$FGH$(I245$"!E&JK$"(CL$ 6 6 +=− mxx Câu II (3 đim):  !8!:M(&JK$"(CL$ ( ) ( ) %F2"%NF2"   % ≥+++− xxx  O$(O&P$ dxxxI ∫ −=    6 L"!-(C@FQ$$M(=3$R$M(S#345 6 N −−= xxy (C<$TUV Câu III ( 1 đim): 12L$W&./GXYZ1B[$ \#D:!;("W"!]#[$:<$=3 \:^$"_  O$ (,(OS#L$W&` II. Phn riêng ( 3 đi%m) O4!$JK$"(CL$$32(La.JbF3&c$d3$C!<$"2JK$"(CL$.W)&c$ 2e0 1. Theo chương tr/nh chu0n: Câu IVa(2 đim): C2$"*+$""!#$=Q!E(2[.fg\h2 ( ) ( ) ( ) UUD6UUDUU CBA −− i!;(&JK$"(CL$e(&j$" ( ) α kG#:#.!,YDZD1 LL$!;G=G+$""WS#"5(2[.f(C<$e(&j$" ( ) α Câu Va( 1 đim):L45&lF!<$b&S#45&l ( ) 6 N% iiZ −+−= 2. Theo chương tr/nh nâng cao: Câu IVb ( 2 đim): C2$"*+$""!#$=Q!E(2[.fg\h2 ( ) ( ) ( ) UUD6UUDUU CBA −− i!;(&JK$"(CL$e(&j$" ( ) α kG#:#.!,YDZD1 i!;(&JK$"(CL$e(cG(PZ(!;&g'=Q!.J $"(j$"Y1 Câu Vb( 1 đim)O$ ( )  6 i− );(0 ĐP N – THANG ĐI6M 1PG -&-$ !, )6.!,0 1.(2đi%m0 mBno % xxy _6p  −= %    −=→= =→= ⇔=   p yx yx y % ZZ % ppD__pp =⇔=−= xyxy .!,G5$ ( ) UU !#2d!, 6q  ±==⇒= =⇒= xxy yx ?(@ % 2.(1 đi%m) 666 66 +=+−⇔+=− mxxmxx % X5$"!E&(:^$"45"!#2.!,S##!.?(@ 6q6 6 +=+−= myxxy % ;Gr&(W$"!E ;G ±=m &(W$"!E % ;G % −<<− m &(W6$"!E ;G %−<m &(W$"!E %  )6.!,0 1.(1đi%m) !/G*!E$ %−>x % ( ) ( )  %N % F2"    ≥ +− + ⇔ xx x % s   %N N  −≤⇔≤ +− + ⇔ x xx x % !#2.!/G*!E$$"!E:&(F3 s  % −≤<− x % 2.(1đi%m) e( xt −=     tx −=→  tdtdx −=→  =→= tx  =→= tx % ( ) ∫ −=   N  dtttI % n   %6 %6          − tt % % N = % 3.(1đi%m)      = = −= ⇔=−=    pDNNp 6 x x x yxxy % % ( ) ( ) ( ) % N 6 = −= −= f f of % [ ] ( ) ( ) [ ] ( ) ( ) N!$ %#g U U −== == fxf fxf  % ).!,0 L$=> % !F3(PL$=G+$"D=LXYZ1Bd/G$<$X=G+$""W=Q! \ 4G\C#"WX1:^$"_  % _ aSOaOC =⇒= % 6 _N 6 a V = % i#).!,0 1.(1đi%m) ( ) ( ) 6UUDNUU −=−−= ACAB % [ ] ( ) %U%UD −−−== ACABn % ( ) ( ) ( ) ( ) %% =+−−−−− zyx α % ( ) α  6 =−++ zyx % ).!,0 !dF3.J $"(j$"kG#=G+$""W ( ) α D(#W ( ) UU=u % (d      = = = tz ty tx  % !F3L$!;G=G+$""WS#(C<$ ( ) α D(2[.fF3$"!EE &(        =−++ = = = 6  zyx tz ty tx %         U   UH % i#).!,0 6 _N% iiiiZ −+−+−= % iii +−−+−= _N% % n i%s − % iZ %s +=⇒ % =:).!,0 1.(1đi%m) ( ) ( ) 6UUDNUU −=−−= ACAB % [ ] ( ) %U%UD −−−== ACABn % ( ) ( ) ( ) ( ) %% =+−−−−− zyx α % ( ) α  6 =−++ zyx % 2.(1đi%m) iLe(cG(PZ(!;&g'.(Y1$<$W ( ) [ ] AC ACBA ACBdR D D == % ( ) ( ) [ ] ( ) %U%UD6UUDNUU =⇒−=−= ACBAACBA % s s% =R % &JK$"(CL$e(cG ( ) ( ) ( ) s s% 6  =−+++− zyx % i:).!,0 e( iZ −= 6 4G\C# =Z D _  4!$D  6 24 π ϕϕϕ −=→−== %             −+       −= _ 4!$ _ 24 ππ iZ %             −+       −= _  4!$ _  24  ππ iZ %         −−=  6     i % . S GDĐT ĐNG THP TRƯNG THPT THP MƯI    