0 TRNGTHPTCHUYấNVNHPHC KTHIKHOSTCHTLNGLN2 NMHC20142015 CHNHTHC Mụn:Toỏn12KhiA -B Thigianlmbi:180phỳt(Khụng kthigiangiao) Cõu 1(2,0im).Chohms 3 2 3 2y x x = - + ( ) 1 . a) Khosỏtsbinthiờnvvth cahms ( ) 1 b)Tỡmdim M thuc ngthn g : 3 2d y x = - saochotngkhongcỏcht Mtihai imcctr th hms ( ) 1 lnhnht. Cõu 2(1,0im).Giiphngtrỡnh ( ) 3 tan 2 cot 1 sin 4 sin 2cos sin 3 2 2 x x x x x x p ổ ử - = + + ỗ ữ ố ứ Cõu 3(1,0im).Tớnhtớchphõn 2 2 3 2 0 6 ln 6 x I x dx x - = + ũ Cõu 4(1,0im).Giiphngtrỡnh 3 3 1 3 log 2 log 5 log 8 0x x + + - + = Cõu 5(1,0im) Mthpcha 4 qucumu,5 qucumuxanhv7 qucumu vng.Lyngunhiờncựnglỳcra 4 qucuthpú.Tớnhxỏcsutsaocho 4 qucu clyracúỳngmtqucu muvkhụngquỏhaiqucumuvng. Cõu 6 (1,0 im). Cho hỡnh lng tr ng .ABC A B C Â Â Â cú ỏy ABC l tam giỏc u , ( ) , 0AB a a = > .Bitgúcgiahaingthng AB Â v BC Â bng 0 60 .Tớnhthtớchkhilng tr .ABC A B C Â Â Â vkhongcỏchgiahaingthng AB Â v BC Â theo a . Cõu7(1,0im).Trongmtphngvihta Oxy chotamgiỏc ABC cúphngtrỡnh ng thng cha trung tu yn v phõn giỏctrong nh B ln lt l 1 : 2 3 0d x y + - = 2 , : 2 0d x y + - = .im ( ) 21M nmtrờnngthngchacnh AB ,ngtrũnngoi tiptamgiỏc ABC cúbỏnkớnhbng 5 .Bitnh A cúhonhdng,hóyxỏcnhta cỏcnh catamgiỏc ABC . Cõu 8(1,0im).Giihphngtrỡnh. ( ) ( ) 3 3 2 2 2 17 32 6 9 24 2 4 9 2 9 9 1 x y x y x y y x x y x x y ỡ - + - = - - ù ớ + + + + - + = + + ù ợ Cõu 9(1,0im).Chocỏcsthcdng , ,a b c thamón 3ab bc ca + + = .Chngminhrng ( )( )( ) 7 4 7 4 7 4 3 3 3 27a a b b c c - + - + - + . Ht Ghichỳ: Thớsinhkhụngcsdngbtctiliugỡ! Cỏnbcoithikhụnggiithớchgỡthờm! Hvtờnthớsinh:.Sbỏodanh: chớnhthc (thigm01trang) . 0 TRNGTHPTCHUYấNVNHPHC KTHIKHOSTCHTLNGLN2 NMHC20142015 CHNHTHC Mụn:Toỏn12KhiA -B Thigianlmbi:180phỳt(Khụng kthigiangiao) Cõu 1(2,0im).Chohms 3