h{†[imh{ ts†uosyo†h{[yu · 2020. 9. 27. · h66b abj

8

4"$-(+/ ,+& :+6%+/7"6%& 2=+?$(-$+6%/#?1

D:J

%BOTQB6W GBV[C a:VJ

HD$ \- "[TQVO5B[QTW ,N.4( %VP[7@OVQ

A:JB T:[C YPVP66B6 B:[TBQ/MPVW CP M:T PO@ C:B GB LZ[ EVOJ7@B

NL

(NJ,N

-*

F%Nu

KN2v

*uKXGNH

+-0+

NuK2

JHn |ss}qy[Qn 2YSJYSO a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a Gn RS[s!{y[JyQ a a a a a a a a a a a a a a a a a a a a a a a Fn X[{jsOQKS8yh{[yQ gjMQ1{Ssyh{f a a a a a a a a a a En 9jh{JYSOKS8yh{[yQ a a a a a a a a a a a a a a a a a a a a ICI

n X[{jsOQKS8yh{[yQ gTMS8YSqf^ 6h{[yQh{ PjO{qjOyu a a a a a a a a a a a a a a a a BI ?{;QyujsyQh{ \SM[!sj}[ a a a a a a a a a a a a a a ICH tsuOSYOh{[yQh{ \SM[!sj}[ a a a a a a a a a a G_G |SiyO[ qyO T[[sy[y[ a a a a a a a a a a a a a a a a DIF tsuOSyQh{Q ]s! a a a a a a a a a a a a a a a a a a a a a a DCE Pj}[OyQh{Q ]s! a a a a a a a a a a a a a a a a a a a a CGD /h{QsQOSYqb M[! vS{QOSYqOh{[yu a a a BIC PQQOh{[yu a a a a a a a a a a a a a a a a a a a a a a a a a a ^HFB tsuOSY[yu a a a a a a a a a a a a a a a a a a a a a a a a a a a a a ^GE

^_ 9h{MO8qjd[j{q[ a a a a a a a a a a a a a a a a a a a a ^BI^^ |[sj}[b M[! \i5M!Oh{[yu a a a a a a a a a ^BB^I tsuOSyQh{ PjQh{y[[ a a a a a a a a a a a a a a a a a IIC^H

Fachqualifikationen

vermitteln

Leitungs-

berechnung

Beleuchtungs-

technik

Regelungs-

technik

Datenblätter

Lernprozesse

aktivieren

Bei der Projekt-

gestaltung helfen

Fort- und Weiter-

bildung fördern

Gruppenarbeit

unterstützen

Teamarbeit

fördern

Auf Prüfungen

vorbereiten

Das Buch soll

Berufsschulen

Auszubildende,Schüler/-in, Studierende

Fachschulen

Betrieben

Fachoberschulen

Meisterschulen

TechnischeGymnasien

Hochschulen

Berufsober-

schulen

ZielgruppenPraktiker/-in im Beruf

Energie- und

Gebäudetechnik

Gebäude- und

Infrastruktursysteme

Maschinen- und

Antriebstechnik

Geräte und

Systeme

Maschinen- und

Antriebstechnik

Automatisierungs-

technik

Automatisierungs-

technik

System-

elektroniker/-in

Elektroniker/-in für:

Elektroniker/-in für:

(Industrie)

(Handwerk)

Betriebstechnik

Ausbildungs-

richtungen

Industrie-

elektriker/-in

Elektroanlagen-

monteur/-in

Mechatroniker/-in

Betriebstechnik

Geräte und Systeme

Neu bzw.

überarbeitet,

z. B.

...wenn Sie

mal nicht weiter

wissen...

!0-

(0-

+I^a|

Msj}

Nu}e} N}M}OuW_ou}e}O N}M}O_

!jQ 8}dw}WeIdw po}qKOUK}dwWuq !y[O !S |MQb M[! /yOSiys!M[} yqzSMQs! tsuOSYOh{[yua

xI{efI !}M vIdw}Mn V!Q |M}ji[}iyO i}y[[O qyO y[S uMS8[ ty[1{SM[}c }Ys}O KY[

y[q

B2Kw

G+,)

N-N

JuK2

J,Z 4}dwWuMdw} LfKw}mfKuq ] ] ] ] >Z]Z po}qKOUWuMdw}O 4fMdw}WO}dwW}O cp48b >Z]E XOIW!O}dwWIWyMfOK}W ] ] ] ] ] ] ] ] ] ] ] ] ] ] Z[âIa^ rj{s[c |!!yOyY[ M[! 9MiOSjuOyY[ a a a a a a a a ^_âIaI PMsOyWsyujOyY[ M[! vyKyQyY[ a a a a a a a a a a a a a a ^^Z]D 8}dwW}W muK vO/dw}W ] ] ] ] ] ] ] ] ] ] ] ] ] ] ZEZ]C ;UK}W5}W IW! .IO5}oW ] ] ] ] ] ] ] ] ] ] ] ] ] ] ZDâGa^ ?YO[8[ a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a ^HâGaI /MS8s[ a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a ^GZ]B NUyfOuKwm}W ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ZBâFa^ E]D Yo3dw}W ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] D[E]C 8fImuWwfoK IW! LfMM} ] ] ] ] ] ] ] ] ] ] ] ] ] DZE]B v}O}dwWIWy GUW 6SIo}W ] ] ] ] ] ] ] ] ] ] ] ] DEE]A v}F}yIWy muK qUWMKfWK}O

X}MdwFuW!uyq}uK ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] DCIaEa^ \syh{3Sqy} zJ}M[} a a a a a a a a a a a a a a a a HGIaEaI TSyQ3Sqy} zJ}M[} a a a a a a a a a a a a a a a a a HFE]@ PO3{K} ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] DAE]? LUm}WK IW! V}e}o ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] D@E]> L}dwfWuMdw} xOe}uK ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] D?E]Z[ L}dwfWuMdw} N}uMKIWy ] ] ] ] ] ] ] ] ] ] ] ] ] ] D>

D po}qKOUK}dwWuMdw} XOIW!ofy}W C[

D]Z 2mO}dwW}W GUW puWw}uK}W ] ] ] ] ] ] ] ] ] ] ] C[D]E 6KOUmMK3Oq} IW! Nf!IWy ] ] ] ] ] ] ] ] ] ] ] ] C[D]D po}qKOuMdw} 6SfWWIWy ] ] ] ] ] ] ] ] ] ] ] ] ] ] CZD]C .u!}OMKfW! IW! N}uKF}OK ] ] ] ] ] ] ] ] ] ] ] CZD]B HwmMdw}M X}M}K5 ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] CZD]A 6KOUm!udwK} ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] CDD]@ po}qKOuMdw}O .u!}OMKfW! ] ] ] ] ] ] ] ] ] ] ] ] CCHaDa^ RyOSJy!SQOj[! a a a a a a a a a a a a a a a a a a a a a a a a GGHaDaI /y!SQOj[! M[! 6qWSjOMS a a a a a a a a a a a a a a GFHaDaH niSOqWSjOMS a a a a a a a a a a a a a a a a a a a a a a a a a GED]? 6dwfoKIWy GUW .u!}OMK3W!}W ] ] ] ] ] ] ] ] C@HaCa^ po}qKOuMdw} N}uMKIWy IW! xOe}uK ] ] ] ] ] B?HaBa^ tsuOSyQh{ RyQOM[} a a a a a a a a a a a a a a a a a a a a a FCHaBaI tsuOSyQh{ |SiyO a a a a a a a a a a a a a a a a a a a a a a a FBHaBaH RyQOM[}QiQOyqqM[} qyO !q r5{sS a a a a E_HaBaG /ySuM[}Q}Sj! a a a a a a a a a a a a a a a a a a a a a a a a a a E^D]Z[ .3Om}}W}Oyu} ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] AEHa^_a^ /5Sqq[} M[! /jQQSqyQh{M[} a a a a a a EIHa^_aI tsuOSYJ5Sq M[! /5Sq[MO8M[}Q}Sj! a a a EHD]ZZ 6SfWWIWyM}O5}Iy}O ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ACHa^â^ \jsKj[yQh{ tsq[O a a a a a a a a a a a a a a a a a a a EGHa^âI 9h{jsOM[} KY[ 9Wj[[M[}QS8M}S[ a a a a a a EFHa^âH |[WjQQM[} a a a a a a a a a a a a a a a a a a a a a a a a a a a a a EDHa^âG tSQjO8UMss[ a a a a a a a a a a a a a a a a a a a a a a a a a a a ECHa^âF Rj![ M[! t[Osj![ KY[ |uuMqMsjOYS[ a a EBHa^âE ]YOYKYsOjyu M[! 9YsjSqY!Ms a a a a a a a a a a a a a D_

C xOe}uK}W muK P}WWouWu}W ] ] ] ] @E

C]Z NuW}fO} .u!}OMK3W!} ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] @EC]E NUyfOuKwmuMdw} rfOMK}ooIWy ] ] ] ] ] ] ] ] ] @DC]D JudwKouW}fO} .u!}OMK3W!} ] ] ] ] ] ] ] ] ] ] ] @DC]C pOmuKKoIWy !}M xOe}uKMSIWqK}M ] ] ] ] ] ] @BGaGa^ A]C po}qKOUmfyW}KuMdw} TW!IqKuUW ] ] ] ] ] ] ] >[A]B 6SIo} fW Xo}udwMSfWWIWy ] ] ] ] ] ] ] ] ] ] ] >Z

@ .}dwM}oMKOUm^ IW! rO}wMKOUm^

K}dwWuq ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] >E

@]Z P}WWyO1`}W !}O .}dwM}oMKOUmK}dwWuq >E@]E .uWq}o IW! .uWq}o{IWqKuUW}W ] ] ] ] ] ] ] >D@]D xIy}WeoudqMF}OK MuWIM{1Omuy}O

.}dwM}oMSfWWIWy}W IW! ^MKO1m} ] ] ] ] >C@]C x!!uKuUW MuWIM{1Omuy}O .}dwM}oyO1`}W

yo}udw}O YO}QI}W5 ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] >ADaGa^ |!!yOyY[ KY[ /h{Qs}S3d[ yq ry}Siys! BE

X[{jsOQKS8yh{[yQ B

B2Kw

G+,)

N-N

JuK2

J,DaGaI |!!yOyY[ Qy[MQ3Sqy}S /h{Qs}S3d[ yq

Ry[y[!yj}Sjqq a a a a a a a a a a a a a a a a a a a a a a a a BD@]B .}dwM}oMKOUmqO}uM muK u!}fo}W

.u!}OMK3W!}W ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] >?DaFa^ L{qQh{S /y!SQOj[! yq /h{QsQOSYquSyQ

g/ySuJy!SQOj[!f a a a a a a a a a a a a a a a a a a a a a a a BCDaFaI X[!MuOyKyO5O yq /h{QsQOSYquSyQ

gy!js 9WMsf a a a a a a a a a a a a a a a a a a a a a a a a a a BBDaFaH TjWj8yO5O yq /h{QsQOSYquSyQ

gy!jsS TY[![QjOYSf a a a a a a a a a a a a a a a a a a ^__DaFaG 9h{jsOM[}[ KY[ y!js[ X[!MuOyKyO5O[ M[!

y!js[ TjWj8yO5O[ a a a a a a a a a a a a a a a a a a a a a ^_^@]A 8}uw}WMdwfoKIWy}W e}u y}muMdwK}O

v}ofMKIWy ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] Z[EDaEa^ /ySuJy!SQOj[! M[! y[!MuOyKS

zsy[!Jy!SQOj[! y[ ]@ PuSSMdwfoKIWy}W ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ZADBaDa^ |QOjiys TyWWQh{jsOM[} a a a a a a a a a a a a a a a a a a ÊHBaDaI PY[YQOjiys TyWWQh{jsOM[} a a a a a a a a a a a a a a ÊGBaDaH 9h{qyOOb6Sy}}S a a a a a a a a a a a a a a a a a a a a a a a a a ÊF>]? Y}o!}{{}qKKOfWMuMKUO cYp4b ] ] ] ] ] ] ] ] ] ] ZAABaCa^ T[[}S3d[ !Q ]s!uOOSj[QyQOYSQ a a a a a ÊEBaCaI ty[QOssM[} !Q |SiyOQWM[uOQ a a a a a a a a a a a ÊDBaCaH |SiyO[ qyO T[[sy[y[ iyq ]t6 a a a a a a a a ÊB>]> HS}OfKuUWMG}OMK3Oq}O ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ZA>BaBa^ X[KSOyS[!S LWSjOyY[QKSQO5SuS a a a a a a a ÊBBaBaI Nyh{Oy[KSOyS[!S LWSjOyY[QKSQO5SuS a a ÊBBaBaH 9MqqySKSQO5SuS g|!!ySSf a a a a a a a a a a a a ^D_BaBaG vyS[8KSQO5SuS g9MiOSj{ySSf a a a a a a a a ^D^BaBaF X[O}SySS a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a ^DIBaBaE vyS[8ySS a a a a a a a a a a a a a a a a a a a a a a a a a a a ^DH>]Z[ 4w7OuMKUO}W IW! 4OufdM ] ] ] ] ] ] ] ] ] ] ] ] ] ] Z@CBa^_a^ r1[![ KY[ 6{;SyQOYS[ M[! 6SyjhQ a a a a a a a ^DGBa^_aI \QOMSO \syh{Syh{OS a a a a a a a a a a a a a a a a a ^DGBa^_aH /h{QsQOSYqQOssSc 2ysWSyY![QOMSM[} ^DE>]ZZ ruyuKfoK}dwWuq ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] Z@@Ba^â^ rj{s[Q;QOq a a a a a a a a a a a a a a a a a a a a a a a a a a ^DC

n 4qJj[!sM[} KY[ vMjsb M[! 9!8yqjsb8j{s[ y[ v8yqjs8j{s[ a a a a a a a a a a a a a a a ^DC

n 4qJj[!sM[} KY[ v8yqjsb y[ vMjsbY!S y[ 9!8yqjs8j{s[ a a a a a a a a a a a a a a a ^DC

n 4qJj[!sM[} KY[ 9!8yqjs8j{s[M[! vMjs8j{s[ a a a a a a a a a a a a a a a a a a a a a a ^DB

Ba^âI

B2Kw

G+,)

N-N

JuK2

J,Ba^âF |[js;Q M[! 9;[O{Q KY[zy[5SQh{jsOM[}[ a a a a a a a a a a a a a a a a a a a a a a a ^CFn |[js;Q KY[ zy[5SQh{jsOM[}[ a a a a a a a a a ^CFn 9;[O{Q KY[ zy[5SQh{jsOM[}[ a a a a a a a a ^CE

Ba^âE Py[yqyS[ KY[ 9h{jsO[O8JSu[ a a a a a a a a ^CDn |s}iSjyQh{Q Py[yqyS[ a a a a a a a a a a a a a ^CDn T2bvyj}Sjqq a a a a a a a a a a a a a a a a a a a a a a a a ^CC

>]ZE rfK}Wm}Wy}W IW! rfK}W/e}O^KOfyIWyMOfK} ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] Z>[

BaÎa^ vjO[q[}[ a a a a a a a a a a a a a a a a a a a a a a a a a a ^B_BaÎaI vjO[1iSOSj}M[}QSjO a a a a a a a a a a a a a a a a a a ^B^

Z[ 6dwIK5mf`Wfwm}WuW}o}qKOuMdw}W

xWofy}W ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] Z>E

Z[]Z 6dwIK5mf`Wfwm}W ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] ] Z>E^_aâ^ ]{sSQOSYquSyQ a a a a a a a a a a a a a a a a a a a a a a a a ^BI^_aâI XQYsjOyY[QJy!SQOj[! KY[ ]Mdi3![ Y!S

/5[![ a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a ^BH^_aâH 9h{MO8qjd[j{q[ yq 6Nb9;QOq a a a a a a a a ^BH^_aâG 9h{MO8qjd[j{q[ yq 66b9;QOq a a a a a a a a ^BH^_aâF TMS8Qh{sMQQQh{MO8 KY[ yQYsySO[ RyOM[}[

M[! Tjis[ a a a a a a a a a a a a a a a a a a a a a a a a a a a a a ^BD^_aâE ]{sSQOSYqb9h{MO8y[Syh{OM[} g>

ZZ]Z ;OUs}qKu}OIWy }o}qKOuMdw}O N}uKIWy}W ] Z>>^ââ^ 4[KS8Jy}O RyOM[}[ 1S \syh{QOSYq a a ^BB^ââI 4[KS8Jy}O RyOM[}[ 1S /h{QsQOSYq I_^^ââH 4[KS8Jy}O RyOM[}[ 1S vS{QOSYq a a a I_H^ââG 2S8Jy}O RyOM[}[ 1S /h{QsQOSYq a a a I_G^ââF 2S8Jy}O RyOM[}[ 1S vS{QOSYq a a a a a a I_E^ââE

B2KwG+,vN-,JuK+ * ?N-2MNGPN-2 [NJ,/JNGNR] tsuOSY[yuSky[

1SP| z6 t\ |6#

RS[s!y[{jsOg\SM[!QOM R]^ a a a Gc ]jh{QOM R]F a a a ^Hf

zMh{QyO[gzyQWysf

^ } } } } n tsuOSYOh{[yQh{ 9;QOq j[js;QyS[ M[!]M[uOyY[[ WS1[

n tsuOSYOh{[yQh{ \SM[!sj}[ a a a a a a a a a a a G_n 9h{jsOM[} KY[ /y!SQO5[![ a a a a a a a a a a a a GDn tsuOSyQh{ RyQOM[} M[! |SiyO a a a a a a a a a a FCn |SiyO[ qyO T[[sy[y[ a a a a a a a a a a a a a a a a a DIn tsuOSyQh{Q ]s! a a a a a a a a a a a a a a a a a a a a a a a DCn /h{QsQOSYq a a a a a a a a a a a a a a a a a a a a a a a a a a BIn \j{S[ !Q suOSyQh{[ 9OSYqQ a a a a a a a ^BIn PQQKSj{S[c LQ8yssYQuYW a a a a a a a a a ^HFc ^GHn tsuOSY[yQh{ zjMsq[O a a a a a a a a a a a a a a ^GEn tb

Flüssigkristallanzeige (LC-Display): Eingabezeile, Ergebniszeile

SHIFT

ALPHA

: Eingabe der zweitenTastenbelegung

MODE : Verschiedene Betriebs-modi einstellen

: Cursortasten

: Eingabe der drittenTastenbelegung

: Bruchrechnung

: Quadratwurzel

: Quadratzahl

: Negatives Vorzeichen

: Speicher aufrufen

: Zahlenblock

: Komma

: Darstellung in Potenz-schreibweise

(STO) : Wert speichern

(p ) : Kreiszahl*

(e x) : e-Funktion**

( ) : Gemischter Bruch

‚

x 2

: EinschaltenON

: 10er Logarithmuslog

: Natürlicher Logarithmusln

: LöschenDEL

: Antwortspeicher aufrufenAns

: Zehnerpotenz×10x

: TrigonometrischeFunktionen

sin cos tan

: Klammer( )

(–)

–

RCL

ENG

0

•

: Grundrechenarten+ – × ÷

: Eingabe beenden, Ergebnisim Antwortspeicher ablegen

=9

: Potenzx

Z

6h{

[yQh{

PjO{qjOyu

#NuK2J,uKN >w+KNFw+JH

Z]Z po}qKOUWuMdw}O 4fMdw}WO}dwW}O cp48bX[ !S tsuOSYOh{[yu KSJ[!O qj[ Oh{[yQh{bqjbO{qjOyQh{ 6jQh{[Sh{[S cvuo!ba 9y iyO[ y[]1ss qjO{qjOyQh{S ]M[uOyY[[a vj8M {ji[ !y6jQO[ jM KSQh{y![[ ti[[ M[OSQh{y!syh{]M[uOyY[[a.udwKuy= vy z!y[M[}Qj[syOM[}[ !S KSQh{yb![[ ZSQOssS M[! 6;W[ Qy[! 8M ijh{O[a

vy ty[}ji[ iy [M[ 6jQh{[Sh{[S[ [ObQWSh{[ !S 9h{SyiJyQ KY[ sy[uQ [jh{ Sh{OQc8a za Qy[ H_a vyQ ]YSq !S ty[}ji JyS! jsQcc[jO1Ssyh{Q vyQWsj;)) i8yh{[Oa

.udwKuy} YIWqKuUWMKfMK}W cv}uMSu}o}b IW!!}O}W 0}OF}W!IWy=

Qy[ 9y[MQOjQOA /h{QsQWj[[M[}c 6}uK} >D

. >Mj!SjOJMS8sA 2SuOOM[}QjuOYSc6}uK} ZED

g}9f b]M[uOyY[QOjQOA TY[![QjOYSQWj[[M[}c6}uK} ?E

sY} r{[SsY}jSyO{qMQA 2SQO5SuM[}Qqjdc6}uK} EZ>

}̂ _9 r{[SWYO[8c 6}uK} EZ>

vuo!= po}qKOUWuMdw}O 4fMdw}WO}dwW}O cp48b

# TSyQ8j{sA 2iHc^G^FB a a a ## tMsSQh{ rj{sA iIcD^CIC a a a

tsuOSY[yQh{S 6jQh{[Sh{[S gt6

Reelle Zahlen

rationale Zahlen

gebrochene Zahlenganze Zahlen

negative ganze Zahlen natürliche Zahlen

irrationale Zahlen

Z

6h{

[yQh{

PjO{qjOyu

Z]E XOIW!O}dwWIWyMfOK}W

Z]E]Z nfwo}W_ x!!uKuUW IW! 6IeKOfqKuUW

vy Sss[ rj{s[ JS![ [jh{ vuo! y[}OysOa |!!yOyY[ M[! 9MiOSjubOyY[ }{3S[ 8M ![ \SM[!Sh{[M[}QjSO[a vy \QO8 M[!

Z

6h{

[yQh{

PjO{qjOyu

Z]E]E LIoKuSouqfKuUW IW! ruGuMuUW

vy PMsOyWsyujOyY[ M[! vyKyQyY[ }{3S[c Jy !y |!!yOyY[ M[! 9MibOSjuOyY[c 8M ![ \SM[!Sh{[M[}QjSO[a tQ }sO[ Ys}[! \QO8c4fe}oo}ba

4fe}oo}= X}M}K5}_ 8}y}oW_ xWF}W!IWyMe}uMSu}o}muK 0fOufeo}W_ nfwo}W IW! 6Imm}W

PUmmIKfKuGy}M}K5 2SOjMQh{[ KY[ ]juOYS[

f z e z di f z d z e F ~ I ~ BiF ~ B ~ I i>[

xMMU5ufKuGy}M}K5 rMQjqq[jQQ[ KY[ ]juOYS[

f z e z di f z gd z ef F ~ I ~ BiB z c> z EbiB z Z? i>[

0UO5}udw}WO}y}oW PMsOyWsy8yS[ KY[ rj{s[

giff ~ giefi gmff ~ gmefiife giFf ~ giIfi gmFf ~ gmIf iZ[

giff ~ gmefi gmff ~ giefimfe giFf ~ gmIfi gmFf ~ giIf iZ[

ruMKOueIKuGy}M}K5#

PMsOyWsy8yS[ qyO 9Mqq[ f ~ gemdfi femfd F ~ gBmIfiF ~ BmF ~ IiF ~ D iDB

|MQusjqqS[ }syh{S ]juOYS[ femfd i f ~ gemdf GFm^_ iF ~ BmF ~ IiF ~ D iDB

PMsOyWsy8yS[ KY[ 9Mqq[ gfief ~ gdm!fi gFiIf ~ gBmHfifdmf!iedme! F ~ BmF ~ HiI ~ BmI ~ HiD ~ EiCE

LIoKuSouqfKuUW

]juOYS[

H ~ G i ÎS88088:

?SY!MuO ?SY!MuOJSO

ruGuMuUW

vyKy![! vyKyQYS

^C A H i ES8850588:

>MYOy[O >MYOy[OJSO

ty[ PMsOyWsyujOyY[ yQO y[Jy!S{YsO |!!yOyY[ KY[ }sybh{[ 9Mqqj[![

PjsWM[uO iy ?SY!MuOOSq[ !jS qj[ J}sjQQ[c J[[ !j!MSh{ uy[ PyQQKSQO5[![yQ [OQO{Oc 8azaiy H ~ f ~ eiHfec iy I ~ gFi9fiIgFi9f Y!S iy F ~ gmmWfiFgmmWfc jiS [yh{O iy H ~ Fc !jH ~ FxHFa

v}uMSu}o=

zSh{[[ 9y IgFi9fiIFiI9 1S Iii^Fc FiiÎ M[! 9imBa \i[ 9y I R3QM[}QJ} j[a

R3QM[} jA

IgFi9fi^F ~ gÎmBfiCB

^F } g Î i gmf B f i

R3QM[} iA

9Wyh{S[ KY[ Ii^Fc IFiI9iCB

^F 9ZX]6

Z

6h{

[yQh{

PjO{qjOyu

Z]D 8}dwW}W muK vO/dw}WvMSh{ vyKyQyY[ KY[ }j[8[ rj{s[ [OQO{[ zS1h{ c4fe}oo}Zba9y u3[[[ !MSh{ T1S8[ M[! tSJyOS[ KS5[!SO JS![a ]1S !jQzSMh{Sh{[[ }sO[ iQY[!S

GF A >i

H

F@

IG97

H_75i

G9

F5

VfISKW}WW}OMIdw}W_ MImmu}O}W Hi

Z

Am

H

Gi

H ~ ZE

^ ~ ZEi

^ ~ I

E ~ Im

H ~ H

G ~ Hi

HE

ZEi

I

ZEm

B

ZEi

IB

ZEi I

F

Î

LIoKuSou5u}O}WI

^H~ Bi

I ~ B

^H ~ Zi

^_

^H@

Ê

F~D

Ci

Ê ~ D

F ~ Ci

G ~ H

F ~ î

Î

Fi I

I

F

ruGu!u}O}WÎ

^DA Di

Î ~ Z

^D ~ Di

G ~ H

^D ~ Hi

G

^D@

IG

HFAA

@i

IG ~ @

HF ~ Ai

G ~ ^

F ~ î

G

F

8}dwW}W muK 0UO5}udw}WG

Fi

G

F@

G

Fi

G

F@

G

Fi

G

F@

G

Fi

G

F

n3wo}O IW! J}WW}OfoM 6Imm}WK}Om}

H

Fm

IiG

Gmî

HgGm^f

FgGm^fm

FgIiGf

FgGm^fi

HGmHmgFIiI_f

FgGm^fi

HGmFImIH

FgGm^f

v}uMSu}o=

niSWS1[ 9y qyO !q t6< !y \syh{M[}A

HkGiGkFm^kIi_cDFi_cC_m_cF_iZ_[BiI^

I_i^

^

I_H N G i G N F m I =_Y i

xI{yfe}W 5I Z]D

zSh{[[ 9y Ys}[! zSMh{OSqA

Z] fb^

Gm

H

^Gm

H

HF@ eb

B

^Gm

^

GIm

^D

ICi

I

D@ db

F

E~B

HF@ !b ^C A

IG

HF@ }b

Î^

IDAEE

GF

E] fbD

^

Hi

^

G

@ eb^

H

Gm

I

F

@ dbmII

^

Cm

F

^C

@ !b^_G}sq

^H_}q@ }b

IC

mCG@ {b

mECuqS

m^_IuS

D] fb^

!i

^

@ eb

E

Om

^

Q@ db

H

jii

I

ih@ !b

^F

umHi

D

s@ }b

H

MKi

Î

MJm^F

C] fbI

HSi

}

IQm

F{

SQ@ eb

Fs

Ejmui

{

Îjii

Fs

^Cj@ db

Eji

HCh!~FD

GCj@ !b

HIi

I^h!AI_ji

GB!

B] fbE=mH_

CAF=mIF

I_;mG@ eb

^mEK

^GQmIAHEKmE

CmFEQ@ db

^

I

qi

H

[

@ !b^Fji^_

H

Ii

^

j

Basis

Exponent

Potenzwertan = c

Potenz

c ist die n - te Potenz von a

n -Faktoren

Produkt Potenz

a · a · a · . . . . . . · a = an

Z

6h{

[yQh{

PjO{qjOyu

Z]C ;UK}W5}W IW! .IO5}oW

Z]C]Z ;UK}W5}W

/[[ y[ ?SY!MuO jMQ sjMOS }syh{[ ]juOYS[ iQO{Oc QY !S1huO qj[Q KSu1S8O jsQ ?YO[8 jMQ cvuo!ba vS t=WY[[O }yiO j[c Jy YO !yzjQyQ qyO Qyh{ QsiQO qMsOyWsy8ySO JyS!a zyq

Wurzelexponent

Radikand (Basis)

Wurzelwert‚c = aWurzel

a ist die n - te Wurzel aus c

n

Z

6h{

[yQh{

PjO{qjOyu

Z]C]E .IO5}oW

vjQ /MS8s8y{[ gMj!SjOJMS8s uj[[ !S /MS8s=WY[[O J}}sjQQ[ JS![a

4fe}oo}= 8}dw}WO}y}oW_ v}uMSu}o}

Vd ~! i Vd ~ V! DB ~ Gi DB ~ DGiH ~ IiEi DHEVd A! i Vd A V! DHE A Gi DHE A DGiE A IiHi DB

Vd i dY&V CCiIiCY&CVdki dk&V CCDi CEGi CD&C

v}uMSu}o=

zQOyqq[ 9y qyO !q t6< fb !y >Mj!SjOJMS8s jMQ IFc eb !y TMiyuJMS8sjMQ EG M[! db !y GbO /MS8s jMQ EIFa

fb IFiF eb CEGiG

. IF i F 9ZX]6 . gC.f EG i G

db BEIFiF

G 9ZX]6 9. g.*f EIF i F

vuo!= .IO5}oW

.IO5}o foM ;UK}W5=Vdki dkVtQ }sO[ !y ?YO[8Sh{[bS}s[a

n ty[ /MS8s qyO }Sj!8j{syb}q /MS8s=WY[[O M[![}jOyK[ ] zSh{[[ 9yA fb KFj ~ IiF_hCJD@ eb KHqI[ ~ C[DqDJ

C@ db ^E=iHI;IFjmF_i @ !b

F_q

ID[A IqCH[C

#

Numerus*

Basis

loga c = n

n = loga c

an = c

n ist der Logarithmus von c zurBasis a

Logarithmus

aufgelöst nach n

Bsp.: 1000 = 10n

n = log10 1000 = 3

Z

6h{

[yQh{

PjO{qjOyu

Z]B NUyfOuKwm}W

Z]B]Z 8}dwW}W muK NUyfOuKwm}W

rMS tSqyOOsM[} !Q t=WY[[O[ y[S ?YO[8 KSJ[!O qj[ !jQ

a2

a3 = 60 mm

20 30*

* Die Dekadenmitte entspricht, je nach Dekade, dem Wert 0,3, 3, 30 ...

50x0 = 10 = 101 x1 = 100 = 10

2x3 x2 x

Dekadenlänge a1 = 100 mm

Á 13

Á 13

Á 13

¡F

UF

1,5

10

mA

5

3

2

11,54 1,58 1,62 1,66V

Z

6h{

[yQh{

PjO{qjOyu

Z]B]E NUyfOuKwmuMdw} Lf`MK3e} |SiyO[ qyO T[[sy[y[A6}uK} @E

vMSh{ ![ sY}jSyO{qyQh{[ PjdQOji yQO Q q3}syh{c T[[sy[y[ 1iS }SYd /SOiSyh{ !jS8MQOss[cvuo!Zba vyQ T[[sy[y[ u3[[[ y[jh{sY}jSyO{qyQh{ g8a za ,b|h{QA sy[jSc +b|h{QA sY}jSyO{qyQh{f Y!S!YWWssY}jSyO{qyQh{ giy! |h{Q[ sY}jSyO{qyQh{f !jS}QOssO JS![a RY}jSyO{qyQh{ }OysO |h{Q[ {ji[Ys}[! ty}[Qh{jO[An vy |h{Q[ JS![ y[ vuj![ y[}OysOan ty[ vuj! MqjQQO !y /SO KY[ ^_j iyQ ^_j;Yc 8a za KY[ _c^ iyQ ^ Y!S ^ iyQ ^_ Y!S ^_ iyQ ^__an vS|iQOj[! KY[vuj! 8Mvuj!c 8a za KY[îyQ ^_M[! KY[^_iyQ ^__c yQO yqqS }syh{ sj[}c 8a za ^__qqan vy |iQO5[! y[[S{jsi y[S vuj! Qy[! sY}jSyO{qyQh{ }OysO cv}uMSu}o Zban /yS! !y vuj! y[ !Sy }syh{ 9OShu[ y[}OysOc QY [OQWSh{[ !y 6ysM[}QQOSyh{ OJj ![ /SO[

I M[! F cv}uMSu}o Zba vy 6ysM[} !S vuj! y[ !S PyOO [OQWSyh{O OJj !q /SO Han vy sY}jSyO{qyQh{ vjSQOssM[} {jO uy[[ NMssWM[uOa

v}uMSu}o Z=

X[ y[q TYYS!y[jO[Q;QOq QYss !y ,b|h{Q sY}jSyO{qyQh{ }OysO JS![a vS 4SQWSM[} {jO ![ /SO =Zi^_c y[

vuj! {jO !y R5[} jYi^__qqa zQOyqq[ 9y fb 1S ![ /SO =

DiD_ ![ |iQOj[! j

DKYq 4SQWSM[} M[! eb

![ rj{s[JSO =C!Q ?M[uOQc Jsh{S E_qq KYq 4SQWSM[} [OS[O yQOa

R3QM[}A

vuo!Z= NUyfOuKwmuMdw} 4}uoIWy

fb fDi f

Y~ s}

=D

9Zi^__qq ~ s}

D_

^_iCGcFqq@ eb 9

Ci 9

Z~ ^_

fC

fYi^_ ~ ^_

E_qq^__qqiHBcCtG_

v}uMSu}o E=

vy T[[sy[y y[S RMh{O!yY! KYq 6;W x>,HF crfK}WeofKK 6}uK} E?[b QYss yq zSyh{ ^q| iyQ ^_q| y[ y[q}S3dS[PjdQOji !jS}QOssO JS![a vy R5[} !S vuj! yQO HEqqa vy ,b|h{QJyS! KY[ ^cF2 iyQ ^cEE2 }8yh{[OgPjdQOjiA CqqG_q2fa ryh{[[ 9y !y T[[sy[y 1S !y Rtv 1S !y /SO ^q|c Iq|c Hq|c Fq| M[! ^_q| y[a

R3QM[}A

rMSQO !y /SO jMQ !S T[[sy[ qyO sY}jSyO{qyQh{S vjSQOssM[}gvjO[isjOOf [O[{q[ M[! y[ !y 6jiss y[OSj}[avj[[ !y T[[sy[y yq zSyh{ KY[ ^q| iyQ ^_q|[M 8yh{[[ cvuo!Eba

B y[ q| ^ I H F ^_

2 y[ 2 ^cFI ^cFE ^cFC ^cE ^cEG

xI{yfe}W 5I Z]B]E

Z] tSQOss[ 9y y[ sY}jSyO{qyQh{ 6ysM[} KY[ ^__D iyQ ^_B jM y[S|h{Q[s5[} KY[ Îhqa

E] vy ty[}j[}Qu[[sy[y y[Q N?Nb6Sj[QyQOYSQ zx^_D crfK}WeofKK6}uK} E?Zb QYss yq zSyh{ ^_K| iyQ ^__K| y[ y[q }S3dS[PjdbQOji !jS}QOssO JS![a vy R5[} !S vuj! yQO E_qqa vy ,b|h{Q JyS! KY[ _cF2 iyQ _cE2 }8yh{[O gPjdQOjiA ^ hqI_q2faryh{[[9y !y/SO 1S ^_ K|c I_K|c H_K|c F_ K|M[!^__K|y[a

D] tSqyOOs[ 9y jMQ !S 9OSYqbryObT[[sy[y g!YWWssY}jSyO{qyQh{Qvyj}Sjqqf y[S Ê| 9h{qs8Qyh{SM[} crfK}WeofKK 6}uK} E@Bb!y qj=yqjs[ |MQs3QQOS3q iy fb F 9uM[![c eb G__qQc dbI__qQ M[! !b ^__qQa vuo!E= xIM5Iy fIM }uW}O Npr^

P}WWouWu}

RY}jSyO{q[ZA

Z

6h{

[yQh{

PjO{qjOyu

Z]A Xo}udwIWy}W IW! YUOm}oW

Z]A]Z xOe}uK}W muK Xo}udwIWy}W

ty[ \syh{M[} QO8O 8Jy 6Sq }syh{a 9y [O{5sO rj{s[ M[! 2jSyjis[a

^E i H =mF

Ry[u 9yOc Ry[uQOSq \syh{{yOQ8yh{[

Z

6h{

[yQh{

PjO{qjOyu

Z]A]E xOe}uK}W muK YUOm}oW]YSqs[ Qy[! \syh{M[}[c !y KYSJy}[! ]YSqs8yh{[c 8aza ;c 2M[! 8c [O{jsO[a 9y SjQQ[ ![ qjO{qjOyQh{[ rMQjqq[{j[}8JyQh{[ W{;QyujsyQh{[ \S3d[ cv}uMSu}o}ba]1S !jQ 4qQOss[ y[S ]YSqs M[! !jQ |Ms3Q[ [jh{ y[S \S3dc4fe}oo}b }sO[ !yQsi[

Z

6h{

[yQh{

PjO{qjOyu

xI{yfe}W 5I Z]A]Z

R3Q[ 9y !y Ys}[![ \syh{M[}[ [jh{ 9 i8Ja 7 i8Ja 5 jMc M[! qjh{[ 9y !y ?SYia

Z] fb 9i^DiGG@ 9mFiID ef H 9mFiD@ D 9iHi^D db HiI 9i^@ IiF 9i^D

E] fbH 7

FiB@

F 7

^Hi^F eb

ID 7

Ci

GF

HI@

IF

Îi

F 7

Hdb

H

F 7i

I

D@

F

Ii

H

G 7

D] fb9iD

IiF@

Cm9

HiI eb

F 9iG

HiC@

F

DiI 9i

^

Ddb

F

Ii

E

I 9iH@

H

Fi

F

DmI 9

C] fbH 5D

IiIG@

G 5D

BiFiI^ eb

^H 5D

FiEF@ ^Fi

G 5D

HmÎ db

H 5

I_i

B

IF 5@

I^

HI 5i

D 5

IG

B] fb^

9i

^

Hi

^

I@

^

7i

^

Ei

^

Heb

^

7i

I

Fi

G

^F@

^

9i

F

Îm

H

Cdb

I

5i

^

Hm

^

F@

^^

5i

H

Im

I

F

!b^

Fi

^

9i

^

G@

^

^_i

^

9i

^

F}b

^

Ei

^

Hm

^

9@

^

Di

^

Ii

^

9{b

I

Fi

H

^_i

H

I 9@

F

Gi

I

Fm

G

F 9

A] fb ^F ~ gÎmF 5fiÎF ~ gGm5f eb IcF ~ g5iI^fiGcF ~ gDm5f db EcF ~ g5iIGfiBc^ ~ g^Cm5f

@] fb Fi9DiB eb Ci9DmHE db Bi^DiG 9D !b ÊmID 9DiI

?] fb }9iF_@ }9iFc_ eb }9iIc_@ }9i_cI db }9i^_@ }D9i^_ !b }Z^D9iC@ }Z^B9iC

>] fb }_9iG@ }_9iÊ eb }_9&DiH@ }_9&DiB db IiG g^m}_9&>f !b EcHi^_ g^m}_9&Cf

xI{yfe}W 5I Z]A]E

]Ys}[! ]YSqs[ Qy[! Mq8MYSq[ M[! jM8Ms3Q[A

Z] fb ;iY z G [jh{ G @ eb Li Y z O [jh{ Y @ db .i ; z K [jh{ ; @ !b 2i8 z B [jh{ 8 @

}f Mi G ~ K [jh{ G @ {b ;iLz* [jh{ * @ yb mi 0 ~0 [jh{ 0@ wb Ii 2 ~! [jh{ !

E] fb 0i G ~e z w [jh{ w @ eb G i! z2 ~W [jh{ W @ db 2i G ~v ~ G [jh{ v @ !b ,CiI 2 ~ { ~N [jh{ N

D] fb 2i2Yi2

D[jh{ 2

D@ eb 2i2

Zm2

[jh{ 2

Z@ db jKi K

Ym K

Z[jh{ K

Z@ !b 8

Zi8m8

d[jh{ 8

d

C] fb Bi:

K[jh{ : @ eb Bi

2

8[jh{ 2 @ db Li

;D

;Y[jh{ ;

Y@ !b ;i

Y ~ M

K[jh{ Y @

}b 8iG

x ~x[jh{ x@ {b 2i

Y z M

:[jh{ : @ yb :i

* ~ N8

[jh{ 8 @ wb j2iI B ~ G

x ~x[jh{ x @

B] fb .it z2 D

I[jh{ 2 @ eb :

|Ci

2D

* ~N[jh{ N @ db ,i

:

B D[jh{ B @ !b ti

:|c

* ~2 D[jh{ 2

A] fb ni8Di,DC[jh{ ,

C@ eb 4iI 2 ~N ~t [jh{ N @ db B

YiBDmBD

|C[jh{ B

|C

@] fb 2i2Zm B ~8

[jh{ 8

@ eb 8

Zi gWm^f ~8

[jh{ W@ db ;i gY

DmY

Yf ~ G [jh{ Y

Y

?] fb^

ti

^

tYi

^

tD[jh{ t

Y@ ef 8i

8Y~8

D8Yi8

D[jh{ 8

Y@ db

2D

2i

8D

8Yi8

D[jh{ 8

Y@

!b 8fi

8

Wm^[jh{ 8

@ }b 8

i

2Zm2

B[jh{ 2 @ {b 8

Yi

8D~ g2m2

DZf

2DZ

[jh{ 2

>] fb Izi2

Zz }_J&& [jh{ K @ eb u

Ci B

Z~ }_J&& [jh{ . @ db u

Ci B

Z~ g^m}_J&&f [jh{ K

\syh{M[}[ M[! ]YSqs[ Z>

Z

6h{

[yQh{

PjO{qjOyu

Z]A]D 0}Ow3oKWuMyo}udwIWy}W_ rO}uMfK5O}dwW}W

v}uMSu}o Z=

ty[ RyOM[} !S R5[} GYiF_ q Jy}O m

YiE_ u}a

zSh{[[ 9y !y PjQQ mDKY[ G

DiI_ q !SQsi[ RyOM[}a

je}Oo}yIWy= vy !YWWsO R5[} [OQWSyh{O !S !YWWsO[ PjQQc !y {jsi R5[} i!MOO !y {jsi PjQQa

YUoy}OIWy=fb vy PjQQ yQO !S R5[} !ySuO

WSYWYSOyY[jsAG/m eb vy PjQQ[ KS{jsO[ Qyh{

8My[j[!S Jy !y R5[}[AmD

mYi

GDGY

R3QM[} [jh{ jf qyO vSyQjO8A

F_ q Jy}[ E_ u}^ q Jy}O E_ u}kF_ i^cI u}

I_ q Jy}[ ^cI u} ~ I_iEC qy

R3QM[} [jh{ if qyO 2S{5sO[yQ}syh{M[}A

mD

mYi

GDGY% m

Di

GD~m

YGY

iEC qy

v}uMSu}o E=

ty[ TMWSsyOS qyO !q >MSQh{[yOO xYiE qqD yQO G

YiF_ q sj[}a

zSh{[[ 9y !y R5[} GDy[Q RyOSQ }syh{S PjQQ qyO >MSQh{[yOO x

DiG qqDa

je}Oo}yIWy= vYWWsOS >MSQh{[yOO i!MOO !y {jsi R5[}c {jsiS >MSQh{[yOO i!MOO !y !YWWsO R5[}a

YUoy}OIWy=fb vy R5[} yQO !q >MSQh{[yOO

y[!ySuO gMq}u{SOf WSYWYSOyY[jsA G/^

x

eb vy R5[}[ KS{jsO[ Qyh{ 8My[j[!SMq}u{SO Jy !y >MSQh{[yOOA

GDGYi

xY

xD

R3QM[} [jh{ jf qyO vSyQjO8A

E qqD % F_ q^qqD % F_ q ~ E_iH__ qGqqD % H__ qkG i@Bm

R3QM[} [jh{ if qyO 2S{5sO[yQ}syh{M[}A

GDGYi

xY

xD% G

Di

xY~ GY

xD

i@Bm

xI{yfe}W 5I Z]A]D

Z] vS ?SyQ 1S IF \S5OQyh{SM[}[ iOS5}O ^I Na /yKys uYQO[ E }syh{ \S5OQyh{SM[}[

E] F_q?2xbyQYsySOTMWSsyOM[}Jy}[IcIF u}a/yKysq Qy[! y[ y[S

h{†[imh{ ts†uosyo†h{[yu · 2020. 9. 27. · h66b abj

Documents