a x 3 13x+a = 0 DAC = 30 x y AD

Transkript

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4 \ B* Z?tBGh K CBR?*Q B=,0JLTC?PKU0CX =?P0?*Q B=,B _ 0CXVNan D\? _ Q0JkCq ;P0 ncmbzf:=jku;p0cf&?*q BZ L D3X XCTVDEÌ Šj `BZh KU0CX DE KUhEQ:F _ Q 0 0J5 DE?*Q BEfsD\?PK _ =#Šo0CXJ?PBZ=@? œ J ^ X & ' Ï:$,/!$, ' '"%$&' *#$&Q,/ +&- +N& "! #$&%(' )+*)&,-")&!0/$ "3 E54 `Q BdXCTVfgn BZ;0Jk`qV0C=)Kp?PKp CB6KYXJ?@BZhEBZ;W=e0JYTC?PKM0CX =kl0c; KY= (x + y) = xy + 7 žl jÿ ž r Ÿ žušvÿ ž Ÿ 67 CED"F 7 G+HFJCK6L=M9 86F HPC6R\P]+7<7 _ba] `Q Bh K CBZXsB CTVD\?PKU0CXKY=#BH JT Kp JDEUBEXJ?A?P0 xy x y + 7 = 0 0C; 3 (x )(y ) = 3 0C;WKMXJ?PB3hEBE;R=e0JYTC?PKM0CX =\ BXVB3BZN DZXVN?@0snVBaKMXJ?PB3hEBE;kUD _?@0C;>=G0Jk `QJTV= c0cxvb:kud x y 3 _?@0C;GKY= D3XVN?*Q Bg0?*Q BZ;GKY= FEKYX _ B!BsDZ;PBs=,BZB3HZKMXVhq<0C=*KL?PK CB =,0JLTC?PKU0CX = obsf:tv=@?dqcd\ CBŒ0CXVB:kUD ± 3 _?P0C;dBH JTVDZ?@0 ābex D3XVN?*Q Bg0?*Q BZ;dB CTVDEj?@0 3 _ BJJ?*Q BE;PBaD3;PB?u0qV0C=)Kp?PKp CB6KYXJ?@BZhEBZ;A=,0JLTC?PKU0CX = JX D3fsBE 7 DZXVN (, 5) (5, ) 698 `Q Bdf:KYXCKMfTVfŽ0Jk KM= S = x + xy + 3y + x + 6y + 4 žl jÿ ž r Ÿ žušvÿ ž Ÿ 4 67 Cd;Y]&F5F Q =e;e7 H Šo0Cf:q MB\?PKYXVhG?*Q Ba= JTVD3;PBJ3BhEB? S = x + x(y + ) + 3(y + ) + = (x + y + ) + (y + ) + ābex _ BJ KY=c?*Q BG=)TVf 0JkVXV0CXV^*XVB3h\D\?PKp CB JTVD3XJ?PKp?PKUBE=žln B _ DZTV=eB60JkC?*Q B = JTVD3;PBE=@Ÿ)/B dkylcqcd CBDGf:KYXCKMfTVf Q BZX6?*Q B= S jf30jp JKMXVh?*Q BZ=eB BH JTVDE?PKM0CX =Wh Kp CBE= JTVD3;PBE=cD3;PB 0f?*QCDE?oKM= Q BZX žyku;p0cf?*q BG=eB DZXVN x+y + = 0 _ 0CXVN]BH JTVDE?PKM0CX Ÿ y D3XVN + = 0 y = KM= žm=)t<nc=*?pkp?ptc?pkmxvh#kyxj?@0d?*q B9<;>=@?cBH JTVDE?PKM0CX Ÿe `QJTV= Z?*Q B fkmxckyf:tvf JDEYT<B 0Jk x = žlq BEX 0 DZXVN Ÿe S x = 0 y = gh Mj$Mjkhmlknoqpr`s njkt u?nmr"vpw^xpylmzsx{o nm} z y ~{j} o j}lnm}lz u> Ph v{n Yj}Lo usr$vƒ ^ jƒjkh y ~ƒj}lo j}ƒyr ˆ 6:6 Wblk?*Q BEX KM= 3 sn θ + 4 cos θ = 5 tan θ žl jÿ ž r Ÿ žušvÿ 3 ž Ÿ Cd;Y]&F5F Q =e;e7 H `Q BBH JTVDE?PKM0CXdKY=cB CT K JDZMBZXJ?t?@0 3 5 sn Šo0CfsnCKYXCKMXVhjdKL?*Q θ+ 4 cos θ = FH CTVDZ;PKYXVhW?*QJKM=o7JKUB\UNC= sn θ+ 6 5 cos θ+ 4 5 sn θ cos θ = sn θ+cos θ = BdhEB? 0C0C; 6 5 sn θ cos θ 4 5 sn θ cos θ = ( 4 5 sn θ 3 5 cos θ) = 0 ;P0Cf?*QJKM= JKL?ckl0JYM03a=W?*QCD\? tan θ = 3 4 gh Mj$Mjkhmlknoqpr`s njkt u?nmr"vpw^xpylmzsx{o nm} z y ~{j} o j}lnm}lz u> Ph v{n Yj}Lo usr$vƒ ^ jƒjkh y ~ƒj}lo j}ƒyr ˆ 0 4

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15 /B _ DZX9VL?*Q B _ 0JLTVfsX =W0JkC?*Q B nv0cdz;pn]=ebh JT<BZXJ?PKYDZLp7o/B QCD\ CB _ Q 0JK _ BZ= 0Jk=eqV0?P=akl0C;dDŒ;P0 0 HKYX8?*Q Bg9<;>=@? 8 _ 0JLTVfsX`?*Q BZX =eqv0?p=akyx8?*q BŒ=,B _ 0CXVN _ 0JLTVfsX žu=*kmx 7 _ B6BfTV=*?D\ C0JKMN?*Q B;P03 0 _@_ TVq KMB3NgnZ7?*Q B;P0 0 HKMX?*Q Ba9<;>=@? _ 0JLTVfsX Ÿ@<B\? _ `QJTV= J?*Q BE;PBaD3;PB ad 7 =W?P0q YD _ B6?*Q Bd;P0 0 H =E 8! 03?*Q BdqV;P0 ncd njkylkl?m7!?*qcd\?wxv0;p0 0 H6dKYLtnVB6TVXVNVBE;WDE?>?>D _ HaKM= 8!/ ( 64) 8 gh MjXMjkhmlkno"pr $j xƒo g<}lj x}{y ju?o nm ƒx y u> }L Yn J k} o j {nmu "n:yjmz>xƒo nm}lz y u>w }L Yn+j kh nm Ljkh h n kw ƒzmn:y v{zy Pj } Yy $~ R}Ln&w }L YjuSu?n Yz Mjkh^x{z w j} k u?n Sn:wmlknoL " E ;:; H7 7 OLF QA C ^6 6 Z O ;YHPC Nv ZL8e7 =SZ B\?PBZ;Pf:KYXVB6?*Q B _ T<nJK _ h Kp CBEX?*QCD\? x 3 + px + q = 0 žykpÿ!kl?wqcd3=#0cxvbd;pbzqvbzd\?@bzn:;p0 0?,CD3XVN žmklkpÿ D3XVN DZ;PBKMXJ?PB3hEBE;>=:=*T _ Q?*QCD\? KM=?*Q B8=)fsDEYMBZ=@?qVBZ;Pf:KY=e=*KUnJUBq<0C=*KL?PK CB pkmxj?pb3h\;>detft L?PKYq MB0Jk q q p 67 C}«ƒZ FJO &H 9FJ@=>@ N 6R7 9<;Y]&FLZ O ; =^O{OJ7 9 FLH:O=e;YC N V<Z F D&=SHMZ HQFLZ<9 N _"N 6/ B\? nvb:?*q BŒ;PBEq<BEDE?PB3N ;P0 0?a0Jkc?*Q B _ T<nCK _ cd3xvn8ub? `Q BEX n Bs?*Q BŒ0?*Q BE;d;P0 0? a c x 3 + px + q = (x a) (x c) = x 3 (a + c)x + (ac + a )x a c `Q BEX KMf:q 7s?*QCDE? a + c = 0 ac jdzxvn + a = ì pdzxvn `Q BE=,B?*QC;PB3BŒB CTVD\?PKU0CX = a c = 6/BQCD CB q Q BZ;PB KY=aDgqV0C=)Kp?PKp CBKMXJ?PB3hEBE;6=*T c = a p = 3a q = a 3 q = ap = _ Q?*QCDE? kp 3 q<0c=*kl?pk CBdKYXJ?@BZh\;>DZ<f:T p?pkmqcuba0jk k AFEKYX KM=6?*Q Bs=)fsDEYMBZ=@? q<be;@fkm=)=)kmncmb q = kp _ B f:t p?pkmqcubs0jk Bd=,BZB6?*QCD\? KM=RDZXKMXJ?PB3h\;>DE p a = 3k a <QJK _ Qg?@0 heb?*q BZ;RdKL?*Q KMf:q LKUBE=G?*QCDE? `Q BEX]?*Q B6=)fsDEYMBZ=@?jq<BE;@fKM=)=)KMnCMB6qV0C=)Kp?PKp CBGKYXJ?@BZh\;>DZ JDZLT<Bd0Jk p = 3a KY= KM=6D3XKMXJ?PB3hEBE; a EQJK _ QKMf:q LKUBE=?*QCDE? DZXVN `QJTV= k KM=G?*Q B _ T<nJK _ q<0j 7 XV0CfKMDE> a = 3 p = 7 q = 54 x 3 7x 54 gh Mj Mjkhmlkno pr jƒp nmuez Jw h w }ƒw yqljkh h n {n j}lz ju?nm}l >rpyq~k ƒl: kh y nzmnmù v jƒ?r}ƒw y k Lj LMj} w lnmu> }{wmlknmu>ywmz rky `hmjƒj LYy < }Lo ku? ^w n Pw u? ^ ƒw hmoy }{wmn:h w h h Yy+~k xku> vƒzmn:w h y }Lo w h h w n u?oylmzsx{o nm} z Yy vk ju?o }{wmlknmu>ywmz rky Jw u `w } ƒ `yƒg&~py vmg+ " E ;9Z H7 7 OLF QA Cd;Y]&F Z C ]+F 6<;>Z Gc F30Jp CB6kl0C; x Q BZ;PB 0 x < π œ 67 C Z H\:=eF ZL=SH\P]=m8eQ N =^8m8>ON T Z<9 HMZ =^8m8^=?F Z HQ N O ;P9RQFL@+;>ON 6 Z e7 FJHMO=:;SC Nv =SH =>@ ]Z dn T N 6 B\? # tq BZXs?*Q B!B CTVD\?PKU0CXŒnVB _ 0CfsBZ= D y = cos x y 3 5y + 4y = 0 _?@0C;>KMXVhah Kp CBE= W tqjtv=\ 0C; W tq BZX (y ) (y ) = 0 cos x = cos x = cos x = CD3XVN 0C; `QJTV= t?*q B=,0JLTC?PKU0CX =?@0s?*Q B:BH JTVDE?PKM0CXD3;PB 0 cos x = x = π x = π x = 3π gh Mj&Mjkhmlkno$pr jƒp nmuez Jw h w } w ylljkh h n ƒn j} z ju?nm} ^rkyl~ {lm Ph y { }Lo e nm Lu:xƒnM}{w } ky vƒj x{z LnM Mz w?mj xku>w v{z {z^n }{wmlknmu>ywmz rky ƒ n"slw u> u?o nm ƒxky y vmg+ +3 cos x 0() + cos x + +cos x = 0 <

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17 < A mn(m n ) E mn(m n ) D 4m n mn(m + n ) (m + n ) m 4 n 4 (m n ) F 4m n (m n ) B 4mn(m n ) " E ; H7 7 O F Z Ĥ 8 &9 = F QFZ C ]&F 8 OC=@?*^*KLqV0C=e=*KUnJUBNt DZ;@;>DZXVhEBZ;aUBE=!XV0CfgnC;PBZ= U0CXVhdǸ TVX UB _ BE; _ UBaNVBdkUD _ 0CX) CT<BdYD=e0CfsfsBaNVBN BET d C0JKY=)KYX = CT<B\ _ 0CX CT<BE=#=,0JKp?ATVX XV0CfgnC;PBaqV;PBEf:KMBZ;O _ 7 _ 67 Z H "7A<FJHƒ;k =^8m=S@O =^NˆV&7 8m8 F F 7 HFL@&\PC NˆT ZJZ 8^N V T K 0CX!?@;P0JTJ CB6UBE= MBZ= f f f f RX 7 qvdz;m CKMBZXJ?:qVDZ;TVXVB B?PT<NVB NVBE=g=,0Cf:fgBE=gqV0C=e=*KUnJUBE= D qvdz;>?pky;sn BZ= XV0CfgnC;PBZ=!q<BE;@fKM=B?NVBŒUB\TV;dKMf:q LK _ DE?PKM0CX qvdz;a;>d3q q<0c;u?dzt q<0c=*kl?pkm0cx =!;PB\MD\?PKp CBE= NVB _ BZ=RXV0Cfsn ;PBE=Zo JDZ;B* 3BZf:q MBC 0CX:=)DZKp? JT<B + = = = = KMXVNJK JT<BZXJ?+ JT<B qvbetc? B?@;PB D _A 0?A BaNVB 0JT " E Z:8 H7 7 O F Z Ĥ 8 &9 = F QFZ C ]&F 8 Šo0Cf:fgB=*?@;>D\?A B3hEBJR D3qV0JG BZ0CX B\?>DZKp?d9tBE;]N B=e0CX DZ;@f B3BM JTo KLA C0JT YDZKp?d?@; BZ= NCKY= _ KYq LKMX BZBCVBZXJ?@;>D X BZB!B\?fg0 njkymbv D3X =#TVXVB!NVB=,BE=GnCDE?>DZKLYMBZ= _ 0CXJ?@;PBMBZ= ALYKG BZ= KYoN B _ KMN D!N Bd JDZ;PKMBZ;Wm DZ;@;>DZXVhEBZfsBZXJ?#NVB=eBZ=RkUD3XJ?>D3=)=)KYX =ZJ ATN B3nJTC?, _ B\T J^ _ KtkMTV;PBEXJ? h\;p0jtvq BE=WBEX ;>DZXVh B3BE=: B3h\DEUBE= 540 f q T KY=jKY3UBE=Ah\;P0JTVq D6BEX 9<X DEUBEfgBEXJ?UBE=h\;P0JTVq<BE;#BZX ;>DZXVh B3BE=S B3h\DEUBE=Z ;>DZXVh B3BE=: B3h\DEUBE=\EqV0JTV; 05 BXV0Cfsn ;PB]N B]=e0JUNCDE?>=0 q LTV=#qVB\?PKp?WXV0CfgnC;PBa;PBZXVNCD3XJ?Wq<0C=)=)KMnCMBZ=RNVB6?PBEY=RD3;P;>D3XVhEBEfgBEXJ?P=E B\?>DZKp?WUB 6 Šo0CfsnCKMBZX]7:BZX:D\ JDEKL?*^@KY O C 0

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