Chuyên đề hình học- Thể tích hình chóp docx

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Chuyên đề hình học- Thể tích hình chóp docx

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Ba ̀i 2: "# $%&!&(") $*/@'("),# NI2-O'(B/P')B/ D P&'B/-&'-.$ 0%>'(")?!5=@QR,=*80 9/(-'"!56, ,2,2*80 9/')-&"!#0282: 2;<'R(! 5=! 56S,20 9/*+'(")! SACV 2/ $TS,*U23#SGG&'2  S ⊥ >'(")?-SB D a / $A! 'R( BA! 'R( B J C !&! 'R( !SB M a !&!'R(>J? /2:&! AIBV T VW2# NI2>'(")?!)'B) &/T'B J D !() ⇒ 'RB J D '"  ⇒ 'RB J C !'" ⇒ D AI B D L AC B D D D L a a+ B D C a  $T(RB D C BM  &/T(R D B D H L BM B D D D H > ? D L D C a a a + = )*$T'R D X(R D B'( D P'R(,2/0+ -.Y*ZR AI&!'R(B D J J C M D ! ! ! ! ! D D C C M a a a AI BI= = >D?! />D?->J?2/ $TA! 'R( B D D CM a ! Bi 3: "# $%&!&("*+'(",2/0+  *Z"&' ⊥ >'("?!5=@Q &"B/P2#0$ N/D0%>&("?->'()?@/ 282: [\ $%,,O2! 5= /2/ ] SCA α = &'B&" @ α - '"B&" @ α &/A!&'("B D D C D J @ @ @ @ C D M a a a α α α α = >J? ^>J?@/TA!&'("+2,O2 [- Z[3827B D @ @ α α / 5!A# @ α _`7 0/a  ⇔ 7 D 0/a ⇔ D D D >J @ ? @ α α − +2,O2! / $T A C B S D D D D D D >J @ ?>J @ ?>D@ ? >J @ ? @ D α α α α α − − − = b( .@2#T D D D D D D >J @ ? >J @ ? D@ >J @ ?>J @ ?>D@ ? 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C L C x= ⇔ = AIA &'(") 03 C C H C D C @ C C!D C L a a α = ⇔ = Bi 5:  ') 9/#-.'(") $*k;,/,*80@/ 'Ba >`ia≤/?!*U2l-.$ -O012%l>'(")?2',*80&@/ &'BD/! /?:[= + 2^*80*g012%l>&'"?! 3?KÎ MH vu«ng gãc víi AC t¹i H . T×m vÞ trÝ cña M ®Ó thÓ tÝch khèi chãp SMCH lín nhÊt.  5= )&' ⊥ >'(")?-&' ⊂ >&'"? &/>&'"? ⊥ >'(")?  $  ⊥ >&'"?@/;>P>&'"??BB' ` @ Hm B D x H B C A D S M / $T'B ` @ HmAM B D x &/"B'"h'B D D x a − ⇒ & " B`!m!!"B J J > D ? D D D x a − A &!" B J C &'!& " B J D D M D D x x a a   −  ÷   382 2 A &!" D C D J D D D C D M D D x x a a x x a a x a M D   + −   ≤ = ⇔ = − ⇔ = ⇔ ≡         Bi 6 "# $%&!'(") $*+'("),#2P/*U W'"B D Ca ()BD/- n2/2SP/012%l>&'"?->&()? o-.$ -O012%l>'(")?!(g2[= + 2^*80S*g012%l>&'(?3 C H a 2:282: [\ $%&!'(")2b/! 5= O C B D A S K H I ^=2g2'"B D Ca P()BD/-'"() o-.$ /22*80S 9/ 0p*U W!/ $2/0+ '(S-.2S-'SB Ca P(SB/!)*$T ] ABD BM` ` /2/0+ '()*4! ^=2g2@/D0%>&'"?->&()? o-.$ 0%>'(")?/2g 9/ q,&S r-.$ >'(")? )2/0+ '()*4-O,2*80 9/'(E,2*80 9/(2/ $ ) ⊥ '(-)B/ C PSEGG)-SEB J C > ? D DH a OK AB AB SOK= ⇒ ⊥ ⇒ ⊥ 56R,# g 9/S,&E2/ $'( ⊥ SR > ?OI SAB⇒ ⊥ /SR,[= + 2^ S*g0%>&'(? /0+ &SE-.2SSR,*U / D D D J J J D a SO OI OK SO ⇒ = + ⇒ = )<2: *+T& '(")B H!& '(S BD!S'!S(B D D Ca U /[\ $%T&SB D a 82: [\ %&!'("),TA &'(") B J C & '(") !&SB C C C a . Soạn    ! PH ẦN I: THỂ TÍCH HÌNH CHÓP Ba ̀i 1:"# $%&!'(") $*+,#-.'(")

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