DE THI THU THPTQG NAM 2016 LAN 1

<span class='text_page_counter'>(1)</span>ri rru rstl rHPT QUoc cIA LAN I. so GrAo DUC VA DAO TAO TiNTJ BA zuA Wn rc rAU. Ndm hsc 2016-2017; Mdn: Todn. DE CHINH TITUC .^) ) ^, trang) (E€ g6m 06. Thdi gian tdm bdi 90 phtit, khong ke thdi gian giao d€. Me d6 138. sinh:.......... Hg va ten thi. Ciu l:. thi:. SBD:. Hdm s6 y = 3.rr + 2 dong bit5n tr€n khoang nAo sau ddy?. A.(0,+*) Ciu. ........ Phong. 2z Gi6. e.. .. [--,-?') 3) \. tri cuc ti6ti yr., gitahdm s6. \' 3'. = x3. -. D. (-..o;0).. .. ). 3x2 + 1 ld. D. yr, =2.. C,yrr=0.. lcr--3.. B.. A. yr., =7.. !. c. ( -?,**'). Ciu 3: Cho hdm sO y = /(x) lien tuc tr€n l-t;:] vd c6 bdng bi6n thi€n. Khing dinh ndo. sau ddy ld. khing dinh dring?. A. Gi6 tri nho nhAt cua hdm. sO. tr6n. [-t;:]. bing -2.. [-i;3] bing -i. C. Gi6 tri lon nhAt cua hdm so tr6n [-1;3] bing :. B. Gie tri nho nh6t cira hdm so tren. D. Gi6 tri nho nhAt cira ham s6 tr€n [-1;3] bang Cf,u 4: Eo thihdm sd y. A.y=-I. ciu5:. 2.. =+x+l co ducrng tiqm cin ngang ldr C,x=-1. B.y=2.. 56 giao di6m cuaduorrg thing. A.0.. B.. (a)ty:x*1. vddrrongcong. c.2.. 1.. Ciu 6: Goi M, m I|,nluort ld gitttrllo'n rilr6t vd gia tri nh6 nhit f. r-l ,,,J | 1; e' l. Khdng dinh ndo sau ddy dring? A. M+n't=eo. -3.. B. M+n1=eo. -e'.. D.x=2.. y=xr+l. ld. D.3. cua ham sd -f (r) =. C. M+m=eo.. xtl2lnx-3). trOn doan. D. M +m=-3-e2. Cdu 7: Duong cong 6 hinh b6n (Hinh 1) le do thi cua mQt hdm. sd trong bdn hdm sO duoc liqt kd trong bon. phuong 6n A, B, C, D du6i dAy. H6i d6 Id hdm sd ndo. +3x+2. -3x+2.. L. y=-x'. B.. C,y=x3. D. y=-x3 -3x+2.. !. ?. = x3 +3x+2'. ( Flinb. 1). 1lM5de138.

<span class='text_page_counter'>(2)</span> cAu 8: tAt ca cfrc gtittri cua tham s0. A. -3 <m<3.. -2<rn<2.. B.. Knang olnn oung .. C.. \. ,. n. A. NCu .f-,/'(ro)= 0 uu. e(a;b) . Kh*g. dfnh nao sau day lii. .t't \ /"(.to)> 0^ thi "ro lir di6m cuc rieu cua hirm s6.. B. Neu ham so dat cuc tieu tai diem -ro thi ,. -,/. \. ^,,/ ^ thi uu /"(_.0)<0. .f,(to)=0. _ro. D.Ndu xo ld.di€mcuctri ctahdms6thi. Ciu. D. m<-3.. r. ,,i. ^ --.4 C.Neu. ddng bi6n tron R' ld. m>3.. co dao ham cAp hai tren (a: b) vd xo. Ciu 9: Cho ham s6 y = /(r) rr.l. rr d€ ham sd y = x' - mxt + 3'r + i. 10: Gi6 tri cira bi6u thuc A =. 3J1-t .9u5. /'(.ro)= O. Ciu 11: Cho a, b ld hai sd thuc. va. f'(*o)=0. .,7'-tr. '. (.to)t. O.. 1. f"(ro)*0.. bane. c". ducrng khdc. f. iirdi€mcuctieucuahdms6.. 8.9.. A'.3.. vd.. 27. 116s. th6a mdn aa < as. D. 81.. logr: ; iogr -1< )4. . Khdng dinh ndo sau dAy. ld ttfng?. A. a >l;b >1.. B. 0<. a<1;b>1.. C.. 0<a<\A<b<I.. to*'it":)-tot' Cflu 12: Cho. 1og,. * =L . Khi d6 gi6 tri bi6u rhuc o =. Ciu. x-+1og6x. s-l. A- 3 n. -.4. r. 4. 13: Bi0u thuc O =. oo. : B'Q=at '. '. CAu 14: Cho log,. 3: a,. oin,. 1). A. D.- 1a. 11 IJ. 1J. .1,[7 Qoi a > 0; a + 1). Ding thu'c ndro sau ddy thing?. 5. A' Q=oi. ;. D. a>l;O<b <1.. logr ). ,. :0.. ^.1 IJleu. '7. 1.:. Olen. C' Q=n1 ' logu 67 5 theo a vd b lit. c. n+1u.. B.4a+6b.. 4.. 6a + 4b.. 8. D' a= n'. D.. 2. Cf,u 15: Cho a > 0,a + 1 . M€nh. :"y:. dO. ndo sau dAy thing?. A. HAm s6. a'' vai a > 1 nghich bi€n. B. Hdm s6 y =. a'. trdn tdp R. .. voi 0 < a <1 d6ng bi6n trdn t4p R . A. ^ ^^... C. D0 thi hai hdm so. D. EO thi hdm s6. 3. -a+b. I. (t)... , | = a';y- =l - | \a ). y: a'. ^ nam phia tr€n truc hodnh. ludn J. nim phia tr6n truc hodnh vd d6 thi hdm. s6. (r)' y=l-l \a). nim phia du6i tryc. hodnh.. Ciu 16: Cho hinh chop S.lB C co ddy lir tam gi6c dAu canh bing vd Sl = oJ3. th6 tich cua kh6i chop S.ABC lit u. A. l/ -- ^3 4. B.V=a3. a , canh bdn. r1 f/ ^n\,, y =+A. Sl. r.'udng g6c. vdi mp(ABC). D.V=. 2lMdde. 138.

<span class='text_page_counter'>(3)</span> 17: Cho hinh hQp drmg ABCD.A',7'C'D' c6 dfy ABCD 1e hinh thoi canh bing a, goc canh bdn AA' = 2a . Tltt th€ tich cua khOi hQp ABCD.I ts'CD' lat. Ciu. .l. --"/r. A.v=,'vJ. 62 Ciu. 18:. n3 l't. B.v="ut. C. V = or. .E. .. D. V =zat. A=60". Ji. vdr. .. Khing dinh ndo sau dAy sai?. A. The tich cria khdi cau c6 ban kinh. R. lit V =lrRt. .. 3. B. Di0n tich cira mdt cAu co bdn kinh R ld S = 2n R2. .. C. The tich cua khdi trp c6 ban kinh d6y R vd chidu cao h ld V = nR2h. D. The tich cua khOi nOn co b6n kinh d6y R vd chiAu cao h Lit V. =! ontl,. .. 3. Ciu. 19: fhitSt aien qua truc cira mdt hinh trp ld mQt hinh r.u6ng c6 chu hinh tru d6 ld. o.. s.,r. c. s,o :. =2fia2. B. srr=4a2.. 4ra2. vr 8a. Diqn tich xung quanh cira P.. .. S.n. =8naz. '. Ciu 20: Cho kh6i n6n c6 b6n kinh ddy R = a, ducrng sinh tao v6i mdt ddy mQt goc 45" . th0 tich cua kl6i n6n ld nn3. B. V ='""". g.. .. nn3. nl. 1l. =i_. D. V =""'. .. o. gian vdi h6 truc tqa dQ Oryt, cho tri di€n ABCD c6 C (2;l;0) ; D(0 ;f 3) . thd tich cira kh6i ru diqn ABCD lit. Ciu 21: Trong kh6ng. A.V=4.. C.V:L.. B.V=!. 333. Ciu 22: Trong kh6ng gian v6i. D.V=?.. truc tqa dQ Oryt , cho tam gi6c ABC co Kho6Lng c6ch til trong tdm tam gi6c ABC d€ntrung di6m c4nh lB bang. .l;. A.d=at. 223. Ciu. 23: Gi6. tri. hQ. B.d=a'^t;. lcm nhAt cira hirm sO. B.. A. -1.. y=*-. A(l;2;l);. B. (IJ;0) ;. C. (\;0;2). .. )^1,. D.c{=L\L. C.cl=2.. Jt- f n. -Jt.. c. i.. Ciu Z4zGei (C) ld dd thi cLia hdrm sO y = 4. r-t. M lir . /^ ^\ A. I J:Zl.. l(1;0;0); 8(0;1;1);. "U. ,4.1. D.. Id mQt di6m thuQc. (C). J' bingl. Tqa dd. cO tung dO. cua di€m. l. n.. (z;z).. Ciu 25: t6t ca cdc grit tri cua tham sd rr I m>2 A.. l <-/ Lm. c. (:;t).. dd phucrng. B.-2<m<2.. trinh. x3. D. (o;2). +3x' -2 = m c6 ba nghiQm thuc phAn biQt ld. D.0<nt<2.. C.-2<m<0.. (C) ld do rH cria hirm sd y=.v'-3r' +4x+2 vd nhat. -Trong cdc di€m sau dAy di€m ndo thu0c (A) ?. CAu 26: Cho nh6. .. (l). ld tiep ruy6n cua (C) c6. hQ s6 g6c. , i.. A. M. (o;:).. n.. I'r(-t;:).. Cdu27: Gi6 triciratham s6 m d€him A. -1.. 8.3.. so. !:. c. r(:;o). x3 _ 3x2 +. c.. mx- | 1.. ,. co hai di6m cgc. n. Q(o;z). trixl,x2thoa xf. +x2,. =6. 1i. D. -3. 3. lMa ae t:s.

<span class='text_page_counter'>(4)</span> Cdu 28: T4p x6c dinh cua ham s6 y. (t. ta. (z. r\. \l' c I-:;o l--'-; r,,lr(0;+*). ( 3' ) \. \ A. (--;o)rl1;+-. f B.. /l.. \). :Iog(2t -:x'?). (z\. D' | 0:: l'. \'3). Cdu 29: Dao h2rm cua ham s6 y =ln(.rt +3) la. 1. A. t,'= --;----.. '^' ./ x2 +3'. ciu. )Y. )yln). "8 . ," = x, +3'. '. x.. +3. (.r, +3)ln2. 30: T4p x6c dinh cua hdm s6 y =logt (r+2016)+x-'0" ie. (-2016;+.o).. A.. Ciu 31: Phuorg trinh. n.. ln (Zx +1) =. ^ e+l 2'. B.. A. )f =-.. Ciu 32: Tdp nghidm. (-zorc;+-)r{o}.. phucrng. I. Ciu 33: T6ng binh phucrng. *='-r. 2'. trinh 3r' -23'*t -27. =0 lit. D.(-201610)'. c.. *=2. 2. n.t=T. 2. c.s={2}.. D.s=a'. trinh log,. c6c nghi€m cira phuong. x + 1og, x. =I+log' x'log, x bing. c' 13.. 8.5.. A.2.. (0;+-).. c6 nghiQm. B.s={z;-t\.. A.s={2)}.. C.. Ciu 34: B6t phuong trinh log,, x > log, (x + f ). D.25.. tuo'ng ducrng voi bAt phuong trinh niro sau dAy?. ,)J. A.. logo. r. > 1og,. q33. C. log, x > logo. 1'll. x+log, 1. -13. B. 2log' x > logr (x+1).. (x+1).. D.. 1og,. x>2logr(x+1).. 7.. Cf;u 35: BAt phucrng trinh. A.. R\(-r;g). (Jt)'-*' u 2'*o c6 tAp nghiQm ld. B ft\[-t;:].. Ciu 36: V6i gi6 tri ndo cua mthi b6t phucrng trinh dirng v6i Vx e R, A.. m. <-3.. B.. c.. 1+ log,. m>1.. D.. [-t;:]. (r' -Z**. C. -3 <m. <1.. + m= -2n +. R.. a)>. lo8z. ,m. D'l. (x' +Z). nghiQm. <_3. *rt. cAu 37: Cho hinh chop s.ABCD co day ABCD ld mdt hinh thoi, AC = 4a , BD = 2a . MAt ch6o SBD ndm trong m6t phing vu6ng g6c vdi mat phing (ABCD) vd SB = nJj; SD = a . ThO tich cira t<troi chop S.ABCD lir A.. v. =9otJi. 333. B. ., =4nt,6.. Ciu 38: Cho hinh ch6p dpu S.ABCD. t;. ,. t/1r1,/. bang. T./.. ". The tich cua. n3. A.v=L. 3'. co canh d6y. c. ,. ='ot^&.. D. bing 2a,\<hodng tu tdm cia. . v =2at'l-3. diry. .. ABCD d€n mflt. bOn. kh6i chop S.ABCD IiI ?. o3. B.V="u 3. 4at C.V=-.. D.V=4a3.. 3. 4 lMa Aa rss.

<span class='text_page_counter'>(5)</span> Cdu 39: Cho hlnh hQp chlr nhat c6 duong chdo d : n^127 vd dQ ddi ba kich thu6c cira n6 ;. i. cdp s6 nhAn v6i cong bQi Q:2 . The tich cua kh6i hQp chir nhat ie. B.V=6a3.. ^1 A. V =Ea'. 16p thanh mdt. 9,n3. C.V=4nt a. D. V ="*. J. 3. Ciu 40: Cho kh6i ch6p S.,4BC c6 mdt b6n S,4B Id m6t tam gi6c ddu canh AB =2a. Gqi M lir trung di6m cua canh BC. ThC tich cria m6i chOp S.tWB bdng c3..6. fhoattg cdch tu diOm C d6n mflt phdng 6A8) tinh theo a ld. =1.2a.. D. d=6a. C. d =8a. CAu 41: MQt hinh ch6p ru gi6c ddu c6 dinh trung v6i dinh cua m6t hinh n6n vdL c6c dinh con 14i cua d6y , r I +, 1 \ 1 A ' t, ^ hinh ch6p ndm trdn duong tron d6y cua hinh n6n. Goi V, 't'th€ tich kh6i ch6p tir gidc ddu, Vz ldthe tich cira. A. d =24a. B. d. .. -. khdi n6n trdn thi ti s6 k. A.. k:-. 1. o" T/. r). ld". B.. 6. k:!.2. C.. k=2.. D. k=6.. Ciu. 42: Cho m6t chi6c bO hinh trp chfa dAy nudc. Nguoi ta bo vdo ddy ba quA cAu sit ddc, c6 cirng b6n kinh vd do duoc lu-o. ng nu6c tran ra ngodi bd c6 th€ tfch ld 4tt.,bi€tring duong trdn d.6y ctra hinh trp bdng q.,a cAu. Ducrng sinh cua hinh tru g6p ba lAn duong kinh cua quA cAu. Th€ tich cira kh6i ducrng tron lcm. "uu. tru ld. A.V=3n. Ciu 43: Trong kh6ng. B.V=6tr.. ,. gian voi h0 truc toa dQ Ory,. ddng tr6n truc hodnh Ox. D. V =24tr . cho A(1;1;1) ;B(2;\;-\); C (0;a;6) . Di6m M di. C. V =12n.. . ToadQ di6m M de P =IMA+ Un * MCI dat gi|tri nh6 II. ntrAt ta. D.M(-1;0;0). B.M(1;0;0). C.M(0;I;0). M(r;2;2). oJ6ngoai ti€p : .. ,.; mQt hinh ch6p tri gi6c d€u c6 chidu cao t =o& .ft e Ciu 44:Cho hinh cdu bdn kinh R^:;. A.. ,. 11;.. |. ' tich cria khdi chop tri gi6c ddu ld. A.V=otJ6. Cdu 45: pO 32 k}li. A.. tn. B. v =nt. hdm sd. m=li.. !. .-. J6. D.V=. C. V =.'-vo o. 2. o' 16 6 l. r. J,. ', = xa -2mx2 + m+I c6 ba di€m cuc tri tao thdnh m6t tam glac co olen ttcn Dang. Ciu 46: TAt cd cdc grit tri cua m. sao cho dd. D. m=4.. C. m=2.. B, m=1.. thi hdm s6 y =. x-3 x+ ^lmr'?. c6 dring mQt tiQm cAn ngang. ldL. +4. fn. A. m=0. B.. I. m=U. lLM= ,.. C. m=I.. D. 0< m<1.. T. I. '- z ^\, Cdu 47 Tdt cd ctrc gi6 tri cria m d|hims6 y= ,. 11 1 ,12 ^!2-. 11<171 <. A.-.-1717. L. ---F 11 \IL. -. \L 11. ... l2m- - I)tanx nghich bi6n tr€n khodng Ian2 x+tan-rr+1. tu "\[0,+] 4). B.. m<-. D.. U. 1, noac m> t-, ta NL J' 1. ^1 ltn <---. rl2. slMade138.

<span class='text_page_counter'>(6)</span> Ciu 48: M6t ngon hAi dang d4t t4i vt tri A klroang. c6ch bo bi€n mQt. n r/r \ r \ 1'^ bo bi€n co mot cdi kho o vi tri AB:51k ,).Trdn. C. circh. B. m6t khodng 7(km). Nguo'i canh hdi dang c6 th€ chdo. tu. I. ddn didm. dd. d6n. .t. ..:. C v6i. ,V. , , ,.;,. ^ tr€n bo bien voi vdn t6c 4km /. h roi di b0. vAn t6c 6krn I h (Hinh 2). De nguoi d6. i..'. ' nhanh nhat thi' vi. tri cira M. c6ch. dtSn kho. C mOt khoing lir. B. 7 -2nE (km).. ^.3Ji(hn) c. sJl(km). D. 2Ji. (hi. xe mdy yd phdi trd g6p trong vdng 2 n6m v6i x..,,' i., ^^, .r' t: i--r-r:rla bao nhiOu d6 sau 3 nam h6t ^i^,,l-, phAi trA mQi sd4.:i---i ti€n co dinh ral suar t,^/.-/o mor m6ng. Hdng th6ng Chi ChAu no? (ldm tron d€n dcrn vi d6ng). Ciu 49: Chi Chdu vay 30 triQu d6ng-^,cira ng6n hdng dri mua 8.1456062. A.1446062 d6ng.. ddng.. C.. 1466062. ddng.. D. 1476062. ddng.. chop tf gi6c dAu c6 mdt b€n ld c6c tam gi6c cAn vdi g6c o dinh bdng a ld g6c nhon. Bi6t t6m cta mdt cAu ngoai ti€p hinh chop c6ch d€u t6t cA" ctrc m5t cira hinh ch6p. Gi6 tri cta a lit. Ciu 50: Cho hinh A. a =L. 6. B. a. =L.. C. a. TT. =!-. 4. 5. 17. D. a ='J-. a J. rrA. -------------. -rt-ct". 6lMada138.

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