't \",* L* (in Nim hgc 20t6 -2A77 chuo'nsl-Hll12 ox r4.r: TIIIE ricu KHOI EA rIIEN *** CAu 1: Cho hrnh chop S.ABCD co (SAB) vd (SAD) cing S ABCD rT r6ng g6c (ABCD) ducmg cao kh5i ch6p 1d: D SD CSC BSA ASB phing SAB li tanr CAu 2: C.ho hinh chop S.ABCD day ld hinh vuong c4ch a, M 1d trung ciiem cua AB,m[t giac diu ruong goc r'cri day Ducmg cao kh6i chop S'ABCD ld: DSM C SC BSB A SA trung vcn tmng I di6m AC' CAu 3: 6fitr lang tru ABCD A'B'C'I)' hinh chicu vuong goc A' l6n ABCD ducrng cao khor lin-s tru ABCD 'A'B'C'D' ia: B A,B A A'A Cflu 4: Cho hinh chop S.IACD co day AtsCD tich cua khol chop S.-ABCDlil' tG (c)o" n) B." A ,t.,6 li cau 5: Clho hinh chop s.,4BC co rtdy 4llc latam tich khdi chop S.ABC 1ir: Aa' (")+ ,/4 gidc S-4 =r'Jj D ar./r 12 J r3 ^3Q A - A'i D A'C hinh vuong cqnh a Biot Sl t(ABCo) vh C d€r.t canh a 5-.{ i (Afi() ":2 sl = a.,,6 Tne D-3a' 3a) ('= cAu 5: Cho hinh chop s.l{Bc co d6-v ABC lirtam gid:c vuong SA = aJ1 Th€ tich khoi chop S.ABC \i can tai r bi6t ,AC =2a SA:GBQ vir ' ,,! r \:(,I l-\ c, "6o' , t) -[ CAu 7: Cho mot khoi chop co the trch bing chop iuc bing: *8.,L' "'6 A.'Ig CSu g: Cho kh6i tlit A.:r' : 16ng tru a l)t l' Khr gram diQn ttuh da gia(- dai xuong -J - I' C.3 D_27I/ c il' '::3 D;l6 :,,,j - lan thl '.1).- '.1rrI Kili'i ABC.A'B'C' co the tich la ,', thO tich cua tchOi ctrOp C''ABC la" B "'2'-l m6t co d6,i,'ABCD lh hinh vuSng c4nh a c4nh ben SA vuong goc voi ,oo r,oi m[t d6y m6t goc bing 600 Tinh th6 tich khoi ch6p S.ABCD c6u : Ciro hinh chop S.ABCD ;l15n* dt.;"a6 '.r; tG tG B a'./3 A ,'J6 :"'366 c !:9 D 'li oI' chieu cua C6u 10: Cho hinh ch6p S.ABCD co d6y lir hinh chu nhat Viri AB = 2a, AD = a' Hinh S l6n (ABCD) la trung dicm H cua AB, SC tao voi dd.v mot g6c 45o.Th6 tich kh6i ch6p S'ABCD ld: A ^ B Ir' ,' TJiat -c.zo' 3 D af cua Cho hinli chop S.ABCD co da5 lir hinh ruong c?nh a tim O' hinh chieu !]$.l.tte' (ABCD) ld phing m7t vd (scD) phing giira m[t g6c Ao cua diem trung td i,o,ecoi ooc iintr 1ne tictr cua kh6i ch6p S.ABCD Ciu ll: ;il G* A +,' c6u 12: t.lro ,J1i "' D+4 , canh a va nlm s.ABCD co diry ABCD ld hinh t6ng Mat b€n sAB liltam gi6c ddu vurng gtic vcri (ABCD1 The tic]r cua khdi ch6p S.lBLiD li: hinh ;;;G;[Lng ,tJ1.,' ch6p LrAi A n n7"/11 l7^1 f6 Toin A - Trud.ng THPT TrAn Qrfiy Cip o'Ji B 623 - Tp HOi An a'Jt c n' D Cflu13:ClhohinhchopS.4S(.Dcoddy-ldhrnhchiinhdt bing 3a Th6 tich khoi ch6p t.-4l9{-1f bing ,1-i A 'v,l a B ff JJ 14: Cho khoi goc gifra SB i,a (ABC) ld 30" The tich khoi chop , a? '? iA.:-:: g , 't n6l ,, chop 48C co S.4 r.udng goc rro'i Ciu canhAlJ==2a.AD='.r.caccanhh6nd€ucodqldai IABO S.lBtl tld1,-.1.tsC" 1-lI !? I), ''- C.''"" 9354 CAu15: Khdi chop S.ABC crj-.57r'u6nggocr,di (.48C).day.4Bt: iatamgr6cr,uongtai : a v0 th6 tich kirtii ch6p la n' Khoang crich tu l ddn (^SACI la: B 3et t,_ D - 7f:.tfa A df B 333 1u f, c 2,_s D B.Bict,\B:7o.BC t*" Cffu 16: Cho hinh ch6p dAu S ABCD co canh ddy 2a g6c giira mit bdn cta khdi chop S.ABCD BC:Ja la tam giac w6ng cin tai ,4 iii: ':a :7 '"6 vi mit d6y bAng 60u Tinh th6 tich 4Jja, CAu 17: Cho hinh ch6p S.ABCD c6 ddy ABCD ld hinh vu6ng c4nh a MAt ben (SAB) ld tam gi5c ddu vd rudng g6c vdi d6y.Th0 tich k&iii chdp S.,4BCD ld A r/l o'J1 Ciu o0v'' D 2336 c.o' v' 18: Cho hinh ch6p S.ABCD d6y H hinh thoi voi mp vu6ng g6c voi d6y.The tich kh6i ch6p 1i: r;: , v-.a ,' '.! 1l CAU 19: D.o AC:2BD:2avdtamgi6c SAD w6ng ia mp SAD cirng vu6ng g6c voi m[t phing d6y, e.zu'Ji 333s D.12a3 a'Jis c6AB: (r,BC -20 Haimp SAB vit c4nh SChqp vcri'd6y m6t g6c600 Tinh th0 tich kh6i c 2a'JG o.zu'Ji Ciu 20: Cho hinh ch6p S.ABC co ddy ld tam gi5c ABC vuOng tpi B AB : oJi, B nim 12 Chohinh ch6pS.ABCDc6diryABCDldhinhchtnh$t chop S.ABCD theo o c6n t4i S i.2 Tinh khodng cach tu diem A dOn mp(SBC) rr oJ: ^ ,Ji A.D (_ SA vuOng g6c vdi d6y SA: r- o'11 D o'"1 t; ' Cflu 21: Cho ldnh ch6p -e.ABCDcd, hop vcri m[t phing A t; ov' 3322 d.iry ABCDmot B a\l da1' Tinh kho6ng gi'rc 6i]" t;t Chu 22: Cho hinh ch6p S^IBC co 5C' -L 18(D vA mit bOn SCI) c6ch ff rli6m zi d6n rnp SC? ABCDIi)hinh r,u6ng canir tr , L .- "{t- ,5.4 t: oj| - D av: d,at' -4BC lir tam giac ru6ng tai A AB : 2a 4C : o ya o hinh chi6u cua S l6n mdt phdng lABC tla trung di6rn H cua canh thEng BC va.!l: t: A .4 C -rl V: B. a rrA: A * ft, la"l l'^a f lB Tinh khoang c6ch grfa hai ducmg A D.ia vi Nim hsc 2016 - 2017 1-HH 12 Ot'tgp c CAu 23: Cho kh6i ch6p S.,4BC co SA vnong goc voi d6y', tam gi6c ABC vuong cAn taj B, SA : a SB hqp roiddy goc 300 Tinl khoang c6ch giira AB va SC r: ) 5^vJ D Jla B.- a lt vJ J -n : BC 2a SA r,r-r6ng goc 24: Cho hinh chop S.ABCD co da-,- ABCD lir hinh chfr nhAt co AB : r'di d6,v G6c gita nr6t b6n (SBC) r,a m6t da-v bing 60f' Tfnh theo a th€ tich khOi chop S.ABCD rJI Ciu ,/Tn,[1 , 1,,'_J3 B ,'\6 A 4r' ,6 3-339 , -1a_J-1 Ciu 25: Cho hinh chop S.ABCD co d6-v ld hinh thoi tam gi6c SAB d6u vir nim m[t ph6ng vuong goc vcri day Bi6t AC:2a BD=3a Tinh khoang c6ch gifta hai dutmg th6ng AD va SC A Ciu r.l_a Do8 \J2l7 26 Cho khdi chop S 4BC co th6 tich ld kh6i ch6p S.AB'C ' sE tz- Gqi Pot, \21, u i.2Y:17 W, B', C'lAn 1uo't la trung dr0m cua 48 vit AC Th6' fich cua li: xlv/-) ^t Cbru 1.8, 2\211 e _ e li olv c Lr, 27 Cho kh6i chop S.IBC tr€n ba canh Sl, SB, SC lin lucrt lAv ba di6m I ', B', C' cho rll SA': ISA: SB': 1SS: SC': lSC Gstl, vh l''lAn luot ld th6tichcuac6ckh6ichop S.ABCvit 234 S.A B'C' Khido r, rO I la: l/ B Di c.24 12 24 Cflu 28 : Cho hinh chop S.AB(lco d6y ld A4BCvuong cin o B -4C : ,.8.5.'1 i :n4r ABC 5-4 : a Gqi Gldtrqngtdmcua 4.5'BC, mp L\ dtquaAGvdisongsongvoi BCchtSC.SBldnlugttailul,A.Tinh th€ tich tnOi ctrOp A.-4a? 272799 S.AIIIN, )a\ B 'a C t^) r.3 La P 3- Ciu 29 : Cho hlnh ch6p ru giric S.ABCD c6 th6 tich bing Y LAy di€m A' tr6n canh SA cho 1,1 Mat phing qua A'vir song song voi d6y cua hinh chirp c[t c6c canh SB, SC, SD l6n luot t?i B', SZ'= i^Sl , d c" D' Khi d6 tho tich ttr6i V ctrop s.A'B'c'D' bing: _V B' - I A.' ' Ciu 30: Cho khdi i[ng tr.u ABC.A'B'C' t :_V ?v B d Ciu 3l: Khi ting D.-I' ^V c.27 81 ca the tich ld ,a th6 tich cua ttrOi ctrOp A.BB'C'C ld: c, lr n lrz da dai tAt ca c6c c4nh cua mat khoi hQp chfl'nh6t len g6p d6i thi the tich khoi hQp tuong img sE: D t[ng lan C tang i6n B ting lAn A t[ng l6n Cflu 32: N6u ba kich thuoc cua mOt t ... D.12a3 a'Jis c6AB: (r,BC -20 Haimp SAB vit c4nh SChqp vcri'd6y m6t g6c600 Tinh th0 tich kh6i c 2a'JG o.zu'Ji Ciu 20: Cho hinh ch6p S.ABC co ddy ld tam gi5c ABC vuOng tpi B AB : oJi, B nim 12. .. rrA: A * ft, la"l l'^a f lB Tinh khoang c6ch grfa hai ducmg A D.ia vi Nim hsc 2016 - 2017 1-HH 12 Ot'tgp c CAu 23: Cho kh6i ch6p S.,4BC co SA vnong goc voi d6y', tam gi6c ABC vuong cAn taj B,... Gstl, vh l''lAn luot ld th6tichcuac6ckh6ichop S.ABCvit 234 S.A B'C' Khido r, rO I la: l/ B Di c.24 12 24 Cflu 28 : Cho hinh chop S.AB(lco d6y ld A4BCvuong cin o B -4C : ,.8.5.'1 i :n4r ABC 5-4 :