Modul i Love Mathematics Bergambar 1m 2m 3m
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Transcript of Modul i Love Mathematics Bergambar 1m 2m 3m
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <
@ka ]clalh < blriln
< Pljln < bghuhjuiilh sg`uln plplh tlhfl . < blrilnVuaksilh hcb`cr pgrpuaunlh `grkiut flalb pgriltllh
Pljln <
0 Pljln 0 klaln sg`uln plplh tlhfl . < blrilnVuaksilh lhoil `grkiut flalb pgriltllh
Pljln 0
=Pljln = bghuhjuiilh sg`uln jlb fkhfkho. Jlrub bkhkt tkfli fktuhjuiilh.
< blriln
Pljln =
Auiks jlrub bkhkt plfl buil jlb fkhfkho ylho bghuhjuiilh jlb 46<4.
04.4=
6?< >=0
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 0
6Pljln 6 bghuhjuiilh sltu `choiln < blriln
Pljln 6
Hyltlilh `kalholh pgrbuillh sltln `choil ktu.
7 Pljln 7 bghuhjuiilh pgtli-pgtli sgokgbplt ylho slbl `gslr. < blriln
Pljln 7
Vuaksilh hcb`cr `grmlbpur flalb `ghtui tgrbufln ylho fkwlikak ilwlslh`gracrgi.
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog =
Vujun puaun rk`u akbl rltus
ful
5Pljln 5 bghuhjuiilh tkhook `uhol ylho fktlhlb cagn Buakb. < blriln
@grlpl tkhook `uhol ktu , flalb b3
? Vuaksilh lhoil `lok ylho `grkiut. < blriln
> Vuaksilh flalb pgriltllh `lok pgmlnlh wljlr `grkiut: < blriln
?
7
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0 b
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 6
; Pljln ; bghuhjuiilh krrk-mkrk sg`uln `ghtui = bltrl. < blriln)
Pljln ;
Hlblilh `ghtui = bltrl ktu.
<4 Pljln <4 bghuhjuiilh `grlt `lok 0 `uln `uiu mgrktl. < blriln
Pljln <4Hyltlilh `grlt 0 `uln `uiu mgrktl tgrsg`ut, flalb io.
@kalholh buil sltln 2 <
@kalholh `umu 2 <
@kalholh bgaghoiuho 2 <
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 7
<< @uhflrilh ylho hcb`cr pgrpuaunlh `grkiut igplfl 0 tgbplt pgrpuaunlh.
< blriln
<0 Pljln <0 bghuhjuiilh sg`uln `ualtlh ylho fk`lnlokilh igplfl ̀ g`grlpl
`lnloklh ylho slbl `gslr.
Pljln <0
Vuaksilh flalb pgriltllh pgmlnlh ylho bgwlikak ilwlslh ylho `gracrgi .
< blriln
<= Pljln <= bghuhjuiilh sgigpkho hcb`cr. < blriln
Pljln <=Hyltlilh hkalk fkoktk > flalb hcb`cr `grkiut.
<>.;57
<> 76;
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 5
<6 Pljln <6 bghuhjuiilh sltu ilf hcb`cr < blriln
Vuaksilh hkalk tgbplt `lok fkokt ? `lok hcb`cr ylho `grkiut.
<7 Pljln <7 bghuhjuiilh sltu olrks hcb`cr. < blriln
4 >
7
] <Pljln <7
Lpliln hkalk ]3
<5 Pljln <5 bghuhjuiilh wlitu ualhoiljk pgaljlrlh ]lakbln plfl wlitu blalb.
Pljln <5
Vuaksilh wlitu tgrsg`ut flalb skstgb 06 jlb.
< blriln
76 ?=;
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog ?
<? Pljln <? bghuhjuiilh sg`uln iu`ckf. < blriln
Pljln <?
@grlpliln `kalholh buil sltln `lok iu`ckf tgrsg`ut.
<>Vuilrilh
<44
>< igplfl pgrpuaunlh. < blriln
<; Vuilrilh ylho `grkiut igplfl hcb`cr `grmlbpur. < blriln
04 Pljln 04 bghuhjuiilh sg`uln skakhfgr ylho `grksk lkr. < blriln
@grlpliln kskplfu lkr , flalb ba
0.445
<444ba
Pljln 04
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog >
]clalh 0 blriln
<Vuilrilh
6
= jlb igplfl bkhkt. 0 blriln
0 ]gagslkilh ylho `grkiut 0 blriln
= 0 blriln
6 Pljln fk `lwln bghuhjuiilh `grlt `lflh Lak . 0 blriln
Hyltlilh ?4% flrkplfl `grlt `lflh Lak, flalb orlb .
<7 ” 0.;7 2
>5io
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog ;
<0 Pljln 7 bghuhjuiilh jkskb = `uln `liua `uln-`ulnlh. 0 blriln
7.6io <674o 4.?>4io
Pljln <0
Mlrkilh jubaln jkskb sgbul `liua `uln-`ulnlh , flalb io.
50 blriln
?0 blriln
=
0
=
<6
0 756 x ? 2
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <4
> 0 blriln
; Pljln ; bghuhjuiilh kskplfu ful `kilr lkr. 0 blriln
Pljln ;
@grlpliln jubaln kskplfu lkr, flalb b 3
<4 0 blriln6; 6=0 ÿ 6 2
<>.5 ” 7.4402
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <<
<<0 blriln
Mlrk sgakskn lhtlrl ful igacbpci hkalk wlho fk ltls.
<0 0 blrilnPB <5 + 077 sgh -PB 7.07 2
<= 0 blriln05 67= + 0<7 ” 0 ?>7 2
PB <4
PB <44
74
PB 74
PB <4
PB <
74
04
-
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <0
<60 blriln
<7
Pljln <7 bghuhjuiilh pgtli-pgtli sgok gbplt slbl ylho slbl `gslr. 0 blriln
Pljln <7
Auiksilh sg`uln sgok tkol slbl ilik plfl pgtli-pgtli sgok gbplt slbl fk ltls
; nlrk x 7 2 SSSSSbkhoou SSSS nlrk
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <=
<5 Pljln <5 bghuhjuiilh ilaghfgr `ualh Jlhulrk . 0 blriln
Pljln <5
Hyltlilh `kalholh nlrk `grbual flrk ?.4<.04<= nkhool <5.4<.04<=.
<? Pljln <? bghuhjuiilh nlrol sg`uln `go tlholh . 0 blriln
Pljln <?
Tctcholh <0% fkighlilh igplfl `go tlholh fkltls. @grlpliln nlrol `lru `go tlholhtgrsg`ut.
PB 074
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <6
<> Pljln <> bghuhjuiilh pgalh `lok sg`uln tlblh pgrblkhlh.
=mb
>mb
<?mb
Pljln <>
Nktuhoilh pgrkbgtgr , flalb mb , pgalh tgrsg`ut.
<; ]gagslkilh ylho `grkiut:
<4> ->6 ÿ =2
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <7
04 Pljln 04 bghuhjuiilh gbplt ilf hcb`cr . 0 blriln
Pljln 04
Nktuhoilh purltl gbplt hcb`cr tgrsg`ut
56 04 06 ?0
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <5
]clalh = blriln
@ka ]clalh
< Pljln < bghuhjuiilh pgtl jlalh ig sgicaln ylho fkalauk cagn ]ktk plfl sgtklp
plok fgholh bghlkik `lskilahyl
.
044b
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Pljln <
Nktuhoilh jubaln jlrli pgrok flh `laki flrk sgicaln fkalauk cagn sktk flalb
sgnlrk , hyltlilh jlwlplh lhfl , flalb ib. = blriln
0 Akb bgb`gak 0? ̀ kjk gpla. Lnblf bgb`gak > k̀jk ag`kn flrkplfl Akb. Blskho-
blskho bgrgil tgaln blilh 6 k̀jk gpla. @grlpliln `kjk gpla ylho tkhoola3
= blriln
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <?
=Kskplfu susu flalb sg`uln ictli susu klaln <.7 .
=
<flrkplfl susu ktu tgaln
tgrtubpln.
@grlpliln `lik kskplfu susu, flalb b , ylho tkhoola flalb ictli 3
= blriln
6 Pljln 6 bghuhjuiilh jkskb sg`uhoius oual. = blriln
Pljln 6
Blry bgb`gak 0 `uhoius oual ylho slbl . Fkl bgb`uhoius sgbual oual ylho
fk`gakhyl igflalb 6 pligt igmka. Nktuhoilh jkskb , flalb o , sgpligt oual
tgrsg`ut.
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <>
7 Pljln 7 bghuhjuiilh sgjubaln blhki. = blriln
Pljln 7
Blhki-blhki khk fk`grkilh igplfl Lakb flh Flb. Flb bghflplt 54 `kjk ag`kn
flrkplfl Lakb. @grlpliln `kjk blhki ylho fkbkakik cagn Flb3
5 Pljln 5 bghuhjuiilh nlrol lsla sg`uln pgtk sgjui. = blriln
Pljln 5
Gh. Akb bghjula pgtk sgjui tgrsg`ut fgholh nlrol PB ;54. Nktuhoilh pgrltus
iguhtuholhhyl.
<544 `kjk blhki
Pb >44
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <;
? Pljln ? bghuhjuiilh iu`us L flh iu`ckf @. = blriln
Kskplfu L lflaln7
<flrkplfl kskplfu Iu`ckf @ . Nktuhoilh kskplfu , flalb mb½ , iu`us L
> Pljln > bghuhjuiilh jkskb tgpuho ylho fkpgrauilh uhtui bgb`ult sg`kjk igi.
Pljln >
Tulh Blrklb bgbpuhylk <.?7o tgpuho slnljl. @grlpliln jkskb tgpuho , flalb o , ylho
fkpgrauilh alok 3
= blriln
L@
<4mb
7mb
>mb
0.> io tgpuho
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 04
; Pljln ; bghuhjuiilh nlrol sg`ghtui mkhmkh. = blriln
Pljln ;
]gagpls sg`ualh, nlrol mkhmkh khk fkhlkiilh 64%. @grlpliln nlrol `lru mkhmkh tgrsg`ut3
<4 Pljln <4 bghuhjuiilh sg`uln tkb`lholh `grlt ylho tkfli bghuhjuiilh `grlt `lok 5 `kjk
blhool. Fk`grkilh jkskb sg`kjk blhool klaln 044o. = blriln
Pljln <4
Nktuhoilh jubaln `grlt l̀ok 5 `kjk blhool , flalb io . Auiksilh jlrub tgrsg`ut.
Pb <>74
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 0<
<< Pljln << bghuhjuiilh ̀ grlt gbplt crlho `ufli. = blriln
Pljln <<
Turltl `grlt `lok gbplt crlho `ufli klaln 76. @grlpliln `grlt `lok Flvkf3
<0 Pljln <0 bghuhjuiilh `g`grlpl sgok gbplt tgplt ylho slbl `gslr.
Pljln <0
Ikrlilh auls , flalb mb° , ilwlslh `gracrgi.
7?io 70io3
7>ioFlvkf
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<7mb
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 00
<= Pljln <= bghuhjuiilh nlrol prcblsk ful `ctca mgmlkr pghmumk tlholh.
Pljln <=
Lby bgbpuhylk PB 74 . Fkl khokh bgb`gak 5 `ctca mgmlkr pghmumk tlholh ylho slbl.
@grlpliln `lik wlhohyl3 = blriln
<6 Pljln <6 bghuhjuiilh iu`ckf L flh iu`ckf @. = blriln
<4mb
Mlrkilh kskplfu, flalb mb, iu`ckf @.
PB <7
L
@
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0mb
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8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 0=
<7 Tkitcorle <6 bghuhjuiilh jubaln lksirkb ylho fkjula cagn Tulh Bkakho.
Nlrk @kalholh lksirkb ylho fkjula
Pl`u
Inlbks
Jubllt
bgwlikak 7 ̀ ltlho lksirkb
l) Ikrlilh jubaln lksirkb fkjula plfl nlrk inlbks. < blriln
`) @grlpliln `gzl `kalholh lksirkb ylho fkjula plfl nlrk Pl`u flh Jubllt.
0 blriln
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 06
<5 Jlfula <5 bghuhjuiilh `grlt tkol `uln ictli. = blriln
ictli jkskb
L 544o
@ <io 074 o
M 774o
Jlfula <5
Nktuhoilh purltl sgtklp ictli , flalb o.
<? Pljln <? bghuhjuiilh `kalholh ouak ylho fkbkakik cagn Plbagg. = blriln
Pljln <?
Jkil 64 % flrkplfl `kjk ouak tgrsg`ut `grwlrhl bgrln flh sgag`knhyl `grwlrhl `kru.
Nktuhoilh `kalholh ouak `grwlrhl `kru.
<744 `kjk
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 07
<> Pljln <> bghuhjuiilh pgrltuslh tkol ilub pghfufui fk sg`uln ilbpuho Blrli.
Pljln <>
Jkil pghfufui fk ilbpuho Blrli sgrlblk =74 crlho.
l) Nktuhoilh pgrltus pghfufui ilub alkh-alkh . < blriln
`) Nktuhoilh `kalholh crlho pghfufui ilub bgalyu. 0 blriln
<; Pljln <; bghuhjuiilh nlrol prcbcsk sgplslho ilsut suilh. = blriln
Pljln <;
Jkil nlrol lsla ilsut suilh klaln PB <04.74 . @grlpliln nlrol `lru ilsut tgrsg`ut
IlubK`lh?4%
Ilub
Bgalyu
04%
Alkh-alkh
Tctcholh
=4%
8/12/2019 Modul i Love Mathematics Bergambar 1m 2m 3m
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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 05
04 Pljln 04 bghuhjuiilh ful `uln `choiln , iu`us [ flh Iu`ckf Z.
6mb
0mb
6mb
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Nktuhoilh pgr`gzllh kskplfu > `uln iu`us [ flh sg`uln iu`ckf z.
= blriln
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