KHAO SAT CHAT UJ'QNG HQC SINH Lffi> 12 THPT NAM HQC 2022-2023 M6N:TOAN Mi 4~: 101 Thin gian lam bai: 90 phut, kh6ng id thin gian phat di Di /chi,o sdt cO: 05 trang Ciu 1: Dien tich m~t du c6 ban kinh R = biog A 16 B, 16 16,r D - ,C I61r Ciu 2: Cho ~P hqp gbm IO phful tu s/; ~P c6 phful tu cua A bing A 31' B A;, C I 03• ,0 1A (3;-2) B (J: ).phuc hen hqp c~a z_c6 diem bieu di~n trcn mJI phAng t9a d(I IA Ciu 16: Cho cA ,6 CQ • ( J,- 2) D (-3:2) 06 P ng (u,) •, =3 vA u, =6 Congsaicuacips6c(;ngd6bling A 2· jJI 3· C ! D Ciiu 17: Cho ham ' - , , soy-ax +bx +cx+d(a,b,c,del!)c6di\thjnh11hinhv! iJ· I Gia lrj cuc ti!u cua Mm sci d~ cho bAng •A B -1 Ciu 18: Gia lrj ln(9e) bing A 3ln3+1 B 21n3 -+4L c C JlnJ D I ,J) 2lnJ+I Cliu 19: S6 giao diem cua dtrcmg thAng y = x + vA dtrcmg cong y = x' + IA A B IC D Cliu 20: Ptu\n ao cua s6 phirc z = -Si bing A B -Si C Si I D -5 Ciu 21: Cho li!ng tr\l lam giac ABC.A'B'C' c6 di~n ttch day b!ng Ja', chiAu cao b!ng a khOi li!ng tr\l dA cho bing A ia ~- 3a • C • D 4a Toe tfch cua Cliu 22: Cho khOi ch6p S.ABCD c6 day ABCD IA hinh vuong c'1}h a Bi!t SA vuong goc v&i day vA SA= Jr,,, Tht tich khOi chop S.ABCD b!ng A B i C, · D /6a' Cliu 23: Trong khling gian D.,yz, cho hai diem A(4;0;1) vA B(-1;2;3) MJ1 ph!ng trung lf\lO eua do(lll thing AB e6 m(II veela phap tuy!n hi A.;;; =(3;2;4) Ciu 24: Cho eae s0 thire ;B, ii; =(-5;2;2) C ;;; =G;l;2) D ii; =(-3;2;3) a, b( a < b), Mm s0 y = f (x) e6 dao ham lifn lire lrfn R KhAng djnh nAo sau day dllng? •A jf'(x)dx=f(b)-f(a) B jf'(x)dx=f(a)-f(b) j f(x)dx = f'(b)- f'(a) D j f(x)dx= f'(a)- f'(b) C, Ciu 2;: Cho hai sA ph\Ic z1 =4-5i vA z2 =-2 + 31 Khi d6 z1 1;- A 6-8i B 2-2i C -6+8i Z2 bing D -2+2i Trang 2/5 ~Mild! JOI iu 26: Cho barn sb y = f (x) c6,~:bian thi:n ohu hlnh v! +oo ' +o-o+o - / Sb nghiem th\lC phin bi~t cua phllODg trloh A B Ciu 27: Uy ngiu nhien vien bi tlr c6 du ca hai mau bing , H A~ 3lf(x)l-5 = la C D d\ffig vi@n bi d6 va vien bi xanh Xac suit df Iiy duqc vien bi H c.~ a~ a~ J Ciu 28: Cho ham s6 y = x~ - 4x Ham sO dA cho dbng bian tr@n khoang nao duoi d!y ? A, ( «>;0) B ( «>;2) C (2;+«>) D (4;+«>) Ciu 29: Cho hlnh ch6p tu giac dSu S.ABCD c6 day ABCD la blob vuong (tham khao hlnh vij 2a, £};) B C K.hoang each giila hai dlIO!lg thang AB va SD bi.ng A ,,a B /3a 2· hen bi.ng f3a fC Fla 2' ,J, n j';,c 2.1},zq_'.l,t ~ € ! M(i)-5) 1Am9t ~ -r ::,_o • d6thjhams6 y=f(x)=x'+ax'+bx+J Giattj f(2) bilng B.-21 C.3 &,_-{ }j ;c-~~ -15 Ciu 31: Trang khong gian Q,yz, cho hai vecto a =(1;-2;-1) va ii= (2;1;1) Gia tri cos( ;;,ii) bang A - J?, e .J?, c _.!,_ 't., +6 "D .! .r.::,(\"l { r £ 12 12 ' I' v Ciu 32: Cho blob phang ( H) giai h\lll b6i df> thi ham s6 y = I- x' va lr\lC hoaoh Toi! tlch kllAi tr6n foay dUQ'C 1',o quay ( H) xung quaoh lrl,lc hoaoh bi.ng -,, y , e.16ir_ c.~ D.4" 15 15 Cliu33:Cbos6phfrc z th6ami!n 2z+l+i=(5-2i)(l-i) Moduncua z bi.ng A 3' A Jo B C f D Ciu 34: Cho hlnh chop S.ABC c6 day ABC Ia tam giac di!u c\lllh 2a, SA vuong g6c voi day va SA= f3a (tham khao hlnh vf) Goe giila ducmg than~ va m~t phang (SBC) bang A 30° 60° , C 90° D 45° TrangJ/5 - MA di IOI iu35: HQtitc!.cac nguyen ham cua ham s6 J(x)=x(x' +3)' hi i-A ½(x' +3)' +C / Ciu 36: Cho ham B (x' +3)' +C sb y = f ( x) C ½(x' +3)' +C khong Am, c6 dilo ham D .! (x'+3)' +C 12 tren dQJll (1;2] va th6a f /(1) = I, [ 2/(x)+ I- x']f'(x) = 2x[1 + /(x)] voi \Ix e(1;2] Tfch phan f(x)dx bing I a~ c.i I a~ Ciu 37: Trong khong gian Oxyz, cho mtt phing (P): x+ y+2z-l = o va ditm A(2;1;5) Mtt ph!ng (Q) song song voi (P) va cit cac tia Ox,Oy !An luqt 1'i cac diem B va C cho tam giac ABC c6 di~n tlch bing Khoangcachrud1em • , , , M(2;3;3) den (Q) bang '6 " B "60 • " C g.,/6 • ' D /6 EJt phuong trinh di cho c6 hai nghi~m phan bi~t x,, x, thtla ( x, + 2) ( x, + 2) = thi giA trj cua tham s6 m thuQC khoang nao duoi day ? (21;22) B {23;24) C (19;20) I' D (20;21) Ciu39:M9tkh6in6o (N) c6bankinhdAybing R vacbitucaobin& 15, duQclambingchfilli~khdngth&nnuoc c6 khai Iugng rieng 16n hon kb6i lu,;mg rieng cua nuoc Kh
? ali c.~ an Ciiu 41: Cho pbuong trlnh z' - 2mz+ 6m - = voi m la tham s6 thµc C6 bao nhieu giA trj nguyen cua m d€ phuang trinh c6 hai nghiem ph\Ic phan hiet Z1, Z2 th6a mAn Z1,li = Z2,Z2? A B ~C I D Ciu 42: Cho hamsO "''ba y = /(x) Bi!tham s6 y= f'(5-2x) c6 d6thi lam(itparabol (P) nhuhinbvt C6 baonllieu gia tri nguyencua !ham s6 m 4€ ham s6 y = f(x' +x+m) nghich bi!n tren kboang (1;2) ? y A I >B, C D Trang4/5 -Mad! 101 iu 43: Tich tit ca cilc giil ttj nguyenc • lia thamso, m thuÂcdo(Ul [-3;3] dedulmgthAng y=x+m cAtd6 ã h' ham ' 2x-3 t~t hru diem , phin biet c6 hoanh d(i duong bing I so Y = / ' A -5 yi B C D -3 Cliu 44: Cho kh6i !Ang lr\l tir giac d~u ABCD.A'B'C'IJ c6 C(Ulh day bdng a Biet khoang each tir B' dtn mJt phdng (A'C'D) bdng f· Tuel tich khdi !Ang tr\! da cho bdng N f ~N -2- B -6- C N Ji.a' Ciu 45: C6 bao nhieu gia ttj nguyen clia tham D -3- 5/, m thuOc do(Ul de! ham s6 [-2;3] Y = x' - ~( 2m - 3) x' + m+2 c6 eve d(li va c~ ticlu d6ng th6i hoanh d(i dielm eve ticlu nh6 hon ? B 7'C D 6._ ,,+ +3'1,; I GQi M,m !An luQI la Ciiu 46: Cho,/, phirc z =x+ yi (x,y e R) th6a man lz-3-2il,; va z-3+2, gia tri Ion nhAqia trj nh6 nh4t clia biclu thirc P =x' +y' +Bx+ y +5 Khi d6 M +m bdng A B -( 36 D 32 Ciu 47: Trong mJt pbing Oxy, gQi (HJ la~ hQP diSm M(x;y) th6a mAn x' + y' =k(lxl+lrl) v6i k la ,/, nguyen duong S la di~n tich blnh phdng gi6i h(Ul b6i ( H) Gia trj Ion nhit clia k de! S < 150 bing A B C t D, Clio 48: C6 bao nbleu s6 nguyen duong a (a,; 2023) cho 1/;n 1