đề tự luyện THPT QG môn toán đề số 7

ĐỀ TỰ LUYỆN THPT QUỐC GIA NĂM HỌC 2014- 2015 Môn: TOÁN; ĐỀ 07-BN Thời gian làm bài: 180 phút Câu 1* (2 đim)      x y x − = −  !"#$%&!'()*$+,-.!'( /$   Câu 2* (1đim)  0!"#$%&  1   2  3  4      π π + + = + + x x x x  56!78&,!"#$%&    4− − − =mz m z i 9$:!;:     .  < < < < + ≥z z z z Câu 3* (0,5 đim)0!'=8.3 x + 3.2 x = 24 + 6 x Câu 4 (1,0 điểm)0:!"#$%&= > 3   3    x x y x y x y x xy  − + =   − + = −   Câu 5*(1 đim): 8??!;=-@ > 4  6   x x dx x π ∫ Câu 6 (1 đim): &9!ABC9(BC6$'D$EBFBC@) G6$;EHAIG!J$ABCABK$EFG!J$ ($924 4 8?D$9$LG!J$ABCAC Câu 7 (1,0 điểm)8%$G!J$MNOP(,B."Q$J$ ∆ =PR3(R >@48&MN,C'N"Q$J$ ∆ "Q$J$BC ∆ S!F' $9>T 4  Câu 8* (1,0 điểm)8%$*D$$F:MNOP(5),U.V."Q$ J$    =   3 x y z d + = = − −   >  W =   T x y z d − − = = 7$=,U)X)XYK$/%NG!J$ !"#$%&G!J$ 9 Câu 9* (0,5 điểm) I$"QK$ZN['\']Z%^$+$$"Q 64)_4)`8&P']H9N$"QZ%^$[' Câu 10: (1 đim) ))6X"#$abRR@7$%/$=  3 a b b c c a ab c bc a ca b + + + + + ≥ + + + ĐÁP ÁN VÀ THANG ĐIỂM Câu -ý Nội dung Điểm  c8d!P= { } e =D R c8?   W 4   y x D x − = < ∀ ∈ − I$%*$  .−∞  . +∞ cI*D$9% c0FE x Limy + → = +∞  x Limy − → = −∞  x Lim y →+∞ =   x Lim y →−∞ = f9:d7$=P@):d$$(@ cC$ c  4T 4T 4T 4T  c8!'(E, 4 4  .    M x f x C∈ 9!"#$%&  4 4 4 W    y f x x x f x= − + I(   4 4 4      4x x y x x+ − − + − = c c$+,-.!'(c/$   4 > 4       x x − ⇔ = + −  $"S$: 4 4x =  4 x = c!'(g&=  4x y+ − =  T 4x y+ − = 4T 4T 4T 4T  cCh!"#$%&b"#$"#$F   3   4   2 4 2 c x x c x π − + + + =    T   3 4 3 2 c x c x π π ⇔ + + + + =       T    4 2 2 c x c x π π ⇔ + + + + = 0"S    2  c x π + = −     2 c x π + = − 6E c0    2  c x π + = − "S$:   x k π π = +  T  2 x k π π = − + 4T 4T  f,!9$: c F &!b6!d9 !9 $: 4T 8i%= S!Fj'*:c"S ab 4T 3 kb"#$"#$3 x -3)(8-2 x )= 0 T+9&"SP@GP@3 4T 4T > cCh:"#$"#$F   3 3        x xy x y x y x xy  − = −   − − = −   cfGl![  3 x xy u x y v  − =   =   )"S:    u v v u  = −  − = −  c0:%"S$:'.6.4V.V3 c8+9$"S$:P.(6.4V.4 4T 4T 4T 4T T cfG@P 8?X@VPXP)hdP@4&@) > x π = &   t = 8+9         6 6t t I dt dt t t = − = ∫ ∫ cfG   6 .u t dv dt t = =    .du dt v t t ⇒ = = − A'(%           6 6       I t dt t t t = − + = − − ∫ cm'    6   I = − − 4T 4T 4T 4T 2 c & c0MI6%'$,C)7$  SH ABC⊥ c\^$$9$LG!J$ABC)ABFG( 6  4 24SEH SFH= = cn HK SB⊥ )6d!6'd'(%$9$LG!J$ABC AC /$ HKA  cod!6'd?"SB@BC@)   a HA = ) 4 3  24  a SH HF= = c8$AI'D$EI9       3 4 KH a HK HS HB = + ⇒ = c8$BI'D$EI9  4   3 3 4 a AH AKH KH a = = = 4T 4T 4T  3  3 AKH⇒ =  4T 1  c ∆ 9!"#$%&  3   x t y t = −   = − +  9!  3.u = − ur cB'N ∆   3 .   A t t⇒ − − +  c89BC. ∆ @>T 4    .   c AB u⇔ = uuuur ur      AB u AB u ⇔ = uuuur ur ur   T 3 2` T2 >T 4 3 3 t t t t⇔ − − = ⇔ = ∨ = − c,g&6   3 >  3  . )  .  3 3 3 3 A A− − 4T 4T 4T 4T _ cXm'  4. .4M − 9!  . . 3u = − − uur XYm'  4..>M 9!  ..Tu = uur c89   .  >. _.>u u O   = − − ≠   uur uur ur )   4..>M M = uuuuuuur \p     .  2 > 4u u M M   = − + =   uur uur uuuuuuur  XXY$!J$ c0Mk6G!J$7XXY@qk9! .. n = − ur  m'U  9!"#$%&   4x y z+ − + = crs](,U.V.'Ntk)+99! 4T 4T 4T 4T ` 0MB6$"QZ%^$['FP']64_ C6$"QZ%^$['FP']64` 0M6g?P']&@  +A B A B d(P']g?6k@4)_V4)`RV4)_4)`@4)2 4T 4T 4 cCh       a b c c ab c ab b a a b + − − = = + + − − − − c8+9             c b a VT a b c a c b − − − = + + − − − − − − r))X"#$RR@))'N*$4.@qV)V )VX"#$ c!X[$]J$7DX"#$"S 3    3            c b a VT a b c a c b − − − ≥ − − − − − − @3! fJ$7P(%*H*  3 a b c= = = 4T 4T 4T 4T Chú ý: Học sinh làm theo cách khác mà vẫn đúng vẫn được tính đim tối đa! . ĐỀ TỰ LUYỆN THPT QUỐC GIA NĂM HỌC 2014- 2015 Môn: TOÁN; ĐỀ 07- BN Thời gian làm bài: 180 phút Câu 1* (2 đim)   . − r))X"#$RR@))'N*$4.@qV)V )VX"#$ c!X[$]J$ 7 DX"#$"S 3    3            c b a VT a b c a c b − − − ≥ − − − − − − @3! fJ$ 7 P(%*H*  3 a. &9!ABC9(BC6$'D$EBFBC@) G6$;EHAIG!J$ABCABK$EFG!J$ ($924 4 8?D$9$LG!J$ABCAC Câu 7 (1,0 điểm)8%$G!J$MNOP(,B."Q$J$ ∆ =PR3(R >@48&MN,C'N"Q$J$ ∆ "Q$J$BC ∆ S!F' $9>T 4  Câu