Thông tin tài liệu
TRƯƠ ̀ NG PT DTNT ĐĂK HA ̀ ! "##$%&'()% &* ĐÊ ̀ ĐA ́ P A ́ N Câu 1:+', ! -. ! &,&'+ ! ' &/ ) "01(&/2 & *3)"4 ! 52 # 632 7 68 #8 1 ! '9 :39"4 ;* < ! &2 = > 81 ! '9 $:#39"4 ;* < ! &5 &/#. ! % &/9, 25"4&'2 % ', ! -. ! &,&9+ ! #8%'+ ! 7 7 # # 8 u u u q q u = ⇒ = ? q⇒ = = q⇒ = @< ' &/) "01(&/* A = # 8u u q⇒ = A = 8 #u⇒ = = 8%'+ ! B # # # * # S − = − # #?* ?A # − = = − Câu 2:< ! &'% ! '/"( ! "% &.%2B #81 ! '9 :#3C9"4 ;* A D"; 7 n n n − + 81 ! '9 :3C9"4 ;* ( ) D"; n n n+ − #8%'+ ! B A A D"; D"; 7 7 n n n n n − − = + + A 7 = = 8%'+ ! ( ) D"; n n n+ − ( ) ( ) ( ) 8 D"; n n n n n n n n n + − + + = + + ( ) D"; n n n n = + + # D"; # # # # n = + + ÷ = Câu 3:< ! &'% ! '/"( ! "% &.%2B #81 ! '9 :#3C9"4 ;* 7 D"; 7 x x x →− − + 81 ! '9 $:#3C9"4 ;* C A D"; x x x x → − + − #8%'+ ! B 7 7 7* 7* D"; D"; 7 7* x x x x x x x →− →− − − + = + + 7 D"; 7* A x x →− = − = − 8%'+ ! B ( ) * 7 C A D"; D"; x x x x x x x x → → − − − + = − − D"; 7* # x x → = − = − Câu 4:< ! &'% ! '/"( ! "% &.%2B #8 1 ! '9 :#3C9"4 ;* 7 D"; 7 x x x x →+∞ + − 81 ! '9 $:39"4 ;* 7 D"; x x x − → + − #8%'+ ! B 7 7 D"; D"; # 7 7 x x x x x x x →+∞ →+∞ + + = − − 7 = − 8%'+ ! B D"; 7* C x x − → + = > D"; * x x − → − = :EFG( ! ";+ "EF +9+ ! 7 D"; x x x − → + = −∞ − Câu 5 :+% ;. ! ? : * 7 : x khix f x x x khix − < = − − ≥ HI ! 55< ! &D"4&52 ''2 %% ;. ! 5% "E6 %'+ ! ? D"; * D"; x x x f x x − − → → − = − D"; * ? x x − → = + = D"; * D";7 * ? x x f x x + + → → = − = J*6? @< D"; * D"; * * ? x x f x f x f − + → → = = = &4&% ;. ! D"4&52 '5% "E6 Câu 6:+% ;. ! : * #: x khix f x x khix < = + ≥ HI ! 55< ! &D"4&52 ''2 %% ;. ! 5% "E6 %'+ ! D"; * D"; x x f x x − − → → = = D"; * D"; #* # x x f x x + + → → = + = @< D"; * D"; * x x f x f x − + → → ≠ &4&% ;. ! /"% ! &9+% &5% "E6 Câu 7:+% ;. ! : # * #: # ax khix f x x x khix + ≥ = + − < HI ! 55< ! &D"4&52 ''2 %% ;. ! 5K4& % ;. ! JE*E% ! '9" &5K4& @( ! "EF#% ;. ! JE*6E LE#D"4&52 '5K4& ( ) :#−∞ @( ! "EM#% ;. ! JE*6%ELD"4&52 '5K4& ( ) #:+∞ % "E6#5%'+ ! B # # D"; * D"; #* # x x f x x x − − → → = + − = # # D"; * D"; * x x f x ax a + + → → = + = + J#*6%L L4 ! 2%6#5< # # D"; * D"; * #* # x x f x f x f − + → → = = = 4&% ;. ! D"4&52 '5% "E6#.2NK%% ;. ! D"4&52 '5K4& L4 ! 2% ≠ #5< # # D"; * D"; * x x f x f x − + → → ≠ 4& % ; . ! /"% ! & 9+% & 5% " E 6 # .2N K% % ; . ! D"4& 52 ' 5K4& ( ) ( ) :# #:−∞ ∪ +∞ Câu 8:+% ;. ! A : 7 * 7 : 7 x x khix f x x khix + + ≠ − = + = − HI ! 55< ! &D"4&52 ''2 %% ;. ! 5K4& % ;. ! JE*E% ! '9" &5K4& LK4&; O"P+% &/ ( ) : 7−∞ − G% ( ) 7:− +∞ % ;. ! A 7 x x y x + + = + E% ! ' 9" &&4&D"4&52 '8 L% "E675%'+ ! B 7 7 A D"; * D"; 7 x x x x f x x →− →− + + = + ( ) 7 7 D"; 7 x x x →− + = + 7 D"; 7* x x →− = + = J7*6 @< 7 D"; * 7* x f x f →− ≠ − &4&% ;. ! /"% ! &9+% &5% "E67 @, N% ;. ! 9% O '+D"4&52 '5K4&'% ! 'P+% &/ ( ) : 7−∞ − 3 ( ) 7:− +∞ G% /"% ! & 9+% &5% "E67 Câu 9:+% ;. ! 7 : # * # #: # x x x khix f x x x khix − + − ≠ = − + = HI ! 55< ! &D"4&52 ''2 %% ;. ! 5% "E6# %'+ ! 7 # # D"; * D"; # x x x x x f x x → → − + − = − # * #* D"; # x x x x → + − = − # D"; * 7 x x → = + = J#*67 @< # D"; * #* 7 x f x f → = = &4&% ;. ! D"4&52 '5% "E6# Câu 10:1 ! &/;"&-1(&/5K< & E 7 QAEQ#6 + ! 7&/"4 ;5K4&P+% &/:* R 5JE*6E 7 AE# % ;. ! JE*E% ! '9" &5K4& %'+ ! BJ*6CJ#*67 J*6#J*67 @< J*8J#*6#CF&4&-1(&/5K< &JE*6'+ ! < ! 5&, ! 5; 5&/"4 ; 5K4&:#* J#*8J*67F&4&-1(&/5K< &JE*6'+ ! < ! 5&, ! 5; 5&/"4 ; 5K4&#:* J*8J*67F&4&-1(&/5K< &JE*6'+ ! < ! 5&, ! 5; 5&/"4 ; 5K4&:* @, N-1(&/5K< &JE*6'+ ! < ! 5&, ! 57&/"4 ;5K4&P+% &/:* Câu 11:1 ! &/;"&-1(&/5K< & 7E 7 QAE L#AEL76 + ! &/"4 ;5K% ! "0, ! 2 R 5JE*67E 7 QAE L#AEL7 % ;. ! JE*E% ! '9" &5K4& %'+ ! BJ#*6C J*67 J#*6 @< J#*8J*6CF&4&-1(&/5K< &JE*6'+ ! < ! 5&, ! 5; 5&/"4 ; 5K4&#:* J*8J#*6=F&4&-1(&/5K< &JE*6'+ ! < ! 5&, ! 5; 5&/"4 ; 5K4&:#* @, N-1(&/5K< &JE*6'+ ! < ! 5&, ! 5&/"4 ;5K% ! "0, ! 2&%2 Câu 1 2 : +% ;. ! BN6E 7 L 7E L# @"4 ! 5-1(&/5K< &5"4 ! -52N4 ! &'2 % 9 5" % ;. ! 5% "9"4 ;'+ ! +% &9 E 6# %'+ ! BNS6AE LAE 2NK%NS#*6# /+% "K%N#*6A 4&-1(&/5K< &5"4 ! -52N4 ! &'2 %9 5" % ;. ! 5% "#:A*D% B N6#E#*LA %NN6#EA Câu 1 3 :< ! &9% +% ;'% ! '% ;. ! .%2B #81 ! '9 :3=C9"4 ;* JE*6E 7 LE 7EL# 81 ! '9 :#3C9"4 ;* 7 * x f x x + = − #8 JSE*6AE LE7 8 ( ) ( ) ( ) ( ) ( ) 7 T8 T8 7 T * x x x x f x x + − − − + = − ( ) ( ) ( ) 8 7 x x x − − + = − 781 ! '9 $:#3=C9"4 ;* JE*6E85%&E ( ) ( ) ? 7 = x x − − = = − − − 78 JSE*6#85%&ELE85%&E*S 65%&EL '+. x x Câu 1 4 : +< &'+ ! -8$ '+ ! 9% ! N$D% < &G2 &/G% '+ ! *SA mp ABCD⊥ #8 1 ! '9 :9"4 ;* 1 ! &/ ;"& SB BC⊥ G% SD DC ⊥ 81 ! '9 $:#9"4 ;* + "D% /"%+9"4 ;%"91( &/'I ! + G% $3'1 ! &/;"& SODV D% 5%;/"% ! 'G2 &/ #8%'+ ! *SA mp ABCD SA BC⊥ ⇒ ⊥ G< *BC ABCD⊂ #* %D% "'+ ! AB BC ⊥ $D% < &G2 &/** 1 #*G% * SB BC⇒ ⊥ 1(&/51 SA DC SD DC AD DC ⊥ ⇒ ⊥ ⊥ 8%'+ ! *SA mp ABCD SA BD⊥ ⇒ ⊥ G< *BD ABCD⊂ #* %D% "'+ ! BD AC ⊥ $G% D% 91( &/'I ! +'2 %< &G2 &/** 1 #*G% * SO BD⇒ ⊥ %N SODV G2 &/5% " Câu 1 5 : +51 ! 0"4 &$'+ ! 3$39 "; 5G2 &//+ ! '8 + " D% 9"4 ; 52 ' ;R 5 -R &/$* .%+ '+ *OH mp ABC⊥ 8 1 ! &/ ;"& KR &/B #81 ! '9 :#3C9"4 ;* *BC mp OAH⊥ #8%'+ ! B *AO mp ABC AO BC⊥ ⇒ ⊥ G< *BC ABC⊂ #* R 5P% ! '5I+/"% 52N4 ! 55%'+ ! *OH mp ABC⊥ .2NK% OH BC⊥ * 1 #*G% * *BC mp OAH⇒ ⊥ 8 I 'R ! 5$5% "8 %; /"% ! ' G2 &/ 5% " '+ ! D% 01( &/ '%+ &4& 5% '+ ! B 81 ! '9 :#3C9"4 ;* # # # # OH OA OB OC = + + # # # OH OA OM = + #* I+',2#85%'+ ! *BC mp OAH BC OM⊥ ⇒ ⊥ %ND% 91( &/'%+ 5K+&/5%;/"% ! '$G2 &/5% "&4&5%'+ ! # # # OM OB OC = + * 1 #*G% * # # # # OH OA OB OC ⇒ = + + Câu 1 6 :+51 ! 0"4 &$'+ ! 5%; /"% ! ' $ G2 &/ 5% " $3 *SA mp ABC⊥ #81 ! '9 :#3C9"4 ;* 1 ! &/;"& *BC mp SAB⊥ 81 ! '9 $:#3C9"4 ;* + "D% 91( &/'%+'2 %5%;/"% ! ' $3D% 91( &/'%+'2 %5%; /"% ! ' 8 1 ! &/ ;"& *SC mp AHK⊥ #8%'+ ! B *SA mp ABC SA BC⊥ ⇒ ⊥ G< *BC ABC⊂ *#*R 5P% ! '5I+ /"% 52N4 ! 5 5% '+ ! BC AB⊥ @< 5%;/"% ! '$G2 &/5% "$** 1 #*G% * *BC mp SAB⇒ ⊥ 8I+',2#85%'+ ! B *BC mp SAB BC AH⊥ ⇒ ⊥ G< *AH ABC⊂ #* R 5P% ! '5I+/"% 52N4 ! 55%'+ ! AH SB⊥ .2NK% *AH SBC⊥ AH SC ⇒ ⊥ * %D% "'+ ! SK AK⊥ 5I+* 1 #*G% * *SC mp AHK⊥ Câu 1 7 : +< &'+ ! -8$ '+ ! 9% ! N$D% < &G2 &/G% '+ ! *SA mp ABCD⊥ #81 ! '9 :#3C9"4 ;* 1 ! &/;"& *BD SAC⊥ #8%'+ ! B *SA mp ABCD SA BD⊥ ⇒ ⊥ #* G< *BD ABCD⊂ R 5 P% ! ' 5I+ /"% 52N4 ! 5 5% '+ ! AC BD⊥ 81 ! '9 $:#3C9"4 ;*+ "3UD, & D1( 5 D% 5K2&/ 9"4 ; G% 3 '1 ! &/;"& *IJ SAD⊥ G% $D% %"91( &/'I ! +'2 %< &G2 &/** 1 #*G% * *BD SAC⇒ ⊥ 8%'+ ! B *SA mp ABCD SA DC⊥ ⇒ ⊥ G< *DC ABCD⊂ #* R 5 P% ! ' 5I+ /"% 52N4 ! 5 5% '+ ! CD AD⊥ $D% < &G2 &/** 1 #*G% * *CD SAD⇒ ⊥ % UVVUD% 91( &/5K2&/)< &'2 %5%;/"% ! ' 4& *IJ SAD⊥ Câu 1 8 :+51 ! 0"4 &$'+ ! 5%; /"% ! '$G2 &/',&5% "$3'+ ! 6A:67G% *SA mp ABC⊥ #8 1 ! '9 :#3C9"4 ;* 1 ! &/;"& * *SAB SBC⊥ 8 1 ! '9 $:#3C9"4 ;* < ! & 3 **d A SBC #8%'+ ! B *SA mp ABC SA BC⊥ ⇒ ⊥ G< *BC ABC⊂ #* R 5 P% ! ' 5I+ /"% 52N4 ! 5 5% '+ ! BC AB ⊥ 5%;/"% ! '$G2 &/5% "$** 1 #*G% * *BC mp SAB⇒ ⊥ * *SAB SBC⇒ ⊥ @< *BC mp SAB⊂ 8K+&/5%;/"% ! '$3GI O 91( &/'%+8 @< * *SAB SBC⊥ G% * *SAB SBC SB∩ = &4& *AH SBC⊥ %N 3 **d A SBC 6 %'+ ! # # # AH AS AB = + % 67/V5*: AC AB = 67 4& # # # #AH = + 7 # # A = = AAH⇒ = Câu 19: +W&G2 &/$8 3D, &D1( 5DX5K2&/9"Y;'Z% $ G% 8 K4& 91[&/ 5\&/ *d ABCD⊥ 5]"D^N ( ) S H≠ 8 #81 ! ' 9 : #3C 9"4 ;*_&/ ;"&K`&/B *AC SHK⊥ 81 ! ' 9 $: #3C 9"4 ;* a& P+b&/'c'5d9e&;-* )"e5']&W&G2 &/)`&/? #8%'+ ! B *SH mp ABCD SH AC⊥ ⇒ ⊥ G< *AC ABCD⊂ #* %D]"'+ ! AC BD ⊥ G% $D% %"91( &/'I ! +'2 %< &G2 &/* XVV$DX91[&/5K2&/)W&'Z%5%;/"c'$* 4& AC HK⊥ * 1 #*G% * *AC SHK⇒ ⊥ 8+"DX/"%+9"Y;'Z%GX35I+',2#5%'f *AC SHK⊥ &4& DXP+b&/'c'5d9e&;-* %'f 7 ? CI CA= 7 8? ? = 7 = Câu 20 :+W&'f-8$f 9cN$DXW&G2 &/']&% GX *SA mp ABCD⊥ #81 ! ' 9 : 3C 9"4 ;* a& P+b&/'c'/"g%GX$)"e5 6% 8 1 ! ' 9 : 3C 9"4 ;*a& P+b&/'c'5d9e&* #8%'+ ! B *SA mp ABCD SA AB⊥ ⇒ ⊥ G< *AB ABCD⊂ %D]"'f AB BC⊥ $DXW&G2 &/* 4&$DX91[&/G2 &//f''2&/'Z%GX$3.2NK%P+b&/'c' /"g%GX$DX$6% 8K+&/5%;/"c'Gh91[&/'%+ %'fB AH SD ⊥ i* j'Pc'5%'f AD DC⊥ $DXW&G2 &/*#* %D]"'f *SA mp ABCD SA CD⊥ ⇒ ⊥ G< *CD ABCD⊂ * 1 #*G% * *CD SAD⇒ ⊥ CD AH⇒ ⊥ ii* 1 i*G% ii* *AH SCD⇒ ⊥ @kNDXP+b&/'c'5d9e&;-* K+&/5%;/"c'G2 &/5%'fB # # # AH AS AD = + # # a a = + # ? C * ?a a a = + = C C a AH⇒ = . *CD ABCD⊂ * 1 #*G% * *CD SAD⇒ ⊥ CD AH⇒ ⊥ ii* 1 i*G% ii* *AH SCD⇒ ⊥ @kNDXP+b&/'c'5d9e&;-*. < ! 5&, ! 57&/"4 ;5K4&P+% &/:* Câu 11: 1 ! &/;"&-1(&/5K< & 7E 7 QAE L#AEL76
Ngày đăng: 06/08/2013, 01:25
Xem thêm: Đề cương ôn thi toán 11 kỳ II (có đáp án), Đề cương ôn thi toán 11 kỳ II (có đáp án)
