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Welches Lösungsschema wendest du an?
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file:///C:/5E4BDD0E/WielangsinddieHolzlatten-Dateien/slide0003_image037.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhBQAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAwAF ABEAgAAAAAAAAAIIjI+py+0PVwEAOw== ------=_NextPart_01C74D52.36AF3EA0 Content-Location: file:///C:/5E4BDD0E/WielangsinddieHolzlatten-Dateien/slide0004.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Welches Lösungsschema wendest du an?
Wie lang sind die Holzlatten?
In einem Schulga= rten soll  auf ein kreisförmi= ges Beet mit einem Durchmesser von 1,60 = m ein pyramidenförmiges Gerüst für  Kletterpflanzen <= span style=3D'font-family:"Comic Sans MS"'>errichtet werden. Vier  Ecken berühren den Rand des Beetes in  gleichen Abständen. Die <= span style=3D'font-family:"Comic Sans MS"'>Pyramide soll doppelt so hoch sein w= ie die Länge eine= r  Grundseite.
Berechne die Gesamtlänge der ac= ht Holzlatten und rechne 10 % Verschnitt hinzu. =
(Runde alle Ergebnisse= , auch Zwischenergebnisse, auf drei Kommastellen.)
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Wie lang sind die Holzlatten?
In einem Schulgarten soll&= nbsp; auf ein kreisförmiges Beet mit einem Durchmesser von 1,60 m ei= n pyramidenförmiges Gerüst für  Kletterpflanzen errichtet werden. Vier  Ecken berühren den Rand des Beetes in  gleichen Abständen. Die Pyra= mide soll doppelt so hoch sein wie die Länge einer  Grundseite. Berechne d= ie Gesamtlänge der acht Holzlatten und rechne 10 % Verschnitt hinzu.
Be= rechnung einer Grundseite
<= b>0,8 m
<= b>0,8 m
Grundseite a
a² + b² =3D c²
0,8² + 0,8² =3D c²
    1,28 = =3D c² / √ <= /span>
1,131 m     =3D c
Gr= undseite mit Pythagoras:
Um= fang der Grundfläche
u =3D 4 • a
u =3D 4 • 1,131 m= 3;
u =3D 4,524 m
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Wie lang sind die Holzlatten?
In einem Schulgarten soll&= nbsp; auf ein kreisförmiges Beet mit einem Durchmesser von 1,60 m ei= n pyramidenförmiges Gerüst für  Kletterpflanzen errichtet werden. Vier  Ecken berühren den Rand des Beetes in  gleichen Abständen. Die Pyra= mide soll doppelt so hoch sein wie die Länge einer  Grundseite. Berechne d= ie Gesamtlänge der acht Holzlatten und rechne 10 % Verschnitt hinzu.
Be= rechnung einer Körperhöhe und der Seitenkante
Die Pyramide ist doppe= lt so hoch wie die Grundseite
<= span lang=3DEN-GB style=3D'font-family:"Comic Sans MS"'>hK =3D 2 • a
hK =3D 2 • 1,131m
<= span style=3D'font-family:"Comic Sans MS"'>hK =3D 2,262 m<= /div>
K&= ouml;rperhöhe der Pyramide:
Se= itenkante mit dem Pythagoras
SK² =3D r² + hK²
SK² =3D 0,8² + 2,262²
SK² =3D 5,756644 / √=
SK<= b> =3D 2,399m
3D"Textfeld:
0,8 m
3D"Textfeld:
2,262 m
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Content-Location: file:///C:/5E4BDD0E/WielangsinddieHolzlatten-Dateien/dsld0006_image061.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQBCAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUADAAK ACoAgAAAAAAAAAI7hBGZh+z9jFonxHonvbz7320SZGEl1JzkWIlgprBqac0tM08v59bseAqiVsPY DqR6JJVJXxEltBEliwIAOw== ------=_NextPart_01C74D52.36AF3EA0 Content-Location: file:///C:/5E4BDD0E/WielangsinddieHolzlatten-Dateien/slide0007.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Welches Lösungsschema wendest du an?
Wie lang sind die Holzlatten?
In einem Schulgarten soll&= nbsp; auf ein kreisförmiges Beet mit einem Durchmesser von 1,60 m ei= n pyramidenförmiges Gerüst für  Kletterpflanzen errichtet werden. Vier  Ecken berühren den Rand des Beetes in  gleichen Abständen. Die Pyra= mide soll doppelt so hoch sein wie die Länge einer  Grundseite. Berechne d= ie Gesamtlänge der acht Holzlatten und rechne 10 % Verschnitt hinzu.
Ge= samtlänge der Holzlatten
Um= fang Grundfläche
Se= itenkanten
Seitenkanten =3D 4 • 2,399 m
Seitenkanten =3D 9,596 m
u =3D 4 = • a
u =3D 4 = • 1,131 m
u =3D 4,524 m
Ge= samtlänge:
G= esamtlänge =3D 4,524 m + 9,596 m = Gesamtlänge =3D 14,120 m
Mit Verschnitt:
14,120 m • 1,1 =3D 15,532 m
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Wie lang sind die Holzlatten?
Der Schulgarten hat aber nicht nur kreisförmige Beete, sondern auch Beete = mit rechteckiger Grundfläche. E= in solches Beet ist 4 m lang und 2 m breit. Auch auf diesem Beet soll ein pyramidenförmiges Gerüst für = Kletterpflanzen aufgebaut werden. Die Höhe der Pyramide bleibt gleich.
Was ändert sich?
<= b>0,8 m
<= b>0,8 m
Grundseite a
4 m
3D"Textfeld:
2 m<= /span>
2 m
3D"Textfeld:
1 m
a² + b² =3D c²
2² + 1² =3D c²
    5 =3D c² / √ <= /span>
2,236m     =3D c
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file:///C:/5E4BDD0E/WielangsinddieHolzlatten-Dateien/slide0009.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Welches Lösungsschema wendest du an?
Wie lang sind die Holzlatten?
Der Schulgarten hat aber nicht nur kreisförmige Beet= e, sondern auch Beete mit rechteckiger Grundfläche. Ein solches Beet ist 4 m lang und 2 m breit= . = Auch auf diesem Beet soll ein pyramidenförmiges Gerüst für Kletterpflanzen aufgebaut werden. Die Höhe der Pyramide bleibt gleich.
Se= itenkanten der Rechtseckspyramide:
3D"Textfeld:
2,262 m
3D"Textfeld:
2,236 m
Se= itenkante mit dem Pythagoras
SK² =3D a² + hK²
SK² =3D 2,236² + 2,262² &= #13;
SK² =3D 10,11634 / √=
SK<= b> =3D 3,181 m<= span style=3D'font-family:"Comic Sans MS"'>
Ge= samtlänge:
G= esamtlänge =3D 12m  + 4 · 3,1= 81 = Gesamtlänge =3D 24,724 m<= /div>
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file:///C:/5E4BDD0E/WielangsinddieHolzlatten-Dateien/script.js Content-Transfer-Encoding: quoted-printable Content-Type: application/javascript; charset="us-ascii" function LoadSld() { var sld=3DGetObj("SlideObj") if( !g_supportsPPTHTML ) { =09 sld.style.visibility=3D"visible" return } if( MakeNotesVis() ) return runAnimations =3D _InitAnimations(); =09 if( IsWin("PPTSld") ) parent.SldUpdated(GetSldId()) g_origSz=3DparseInt(SlideObj.style.fontSize) g_origH=3Dsld.style.posHeight g_origW=3Dsld.style.posWidth g_scaleHyperlinks=3D(document.all.tags("AREA").length>0) if( g_scaleHyperlinks ) InitHLinkArray() if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) ) document.body.scroll=3D"no" _RSW() if( IsWin("PPTSld") && parent.IsFullScrMode() ) FullScrInit(); =09 MakeSldVis(); ChkAutoAdv() if( runAnimations ) { if( document.all("NSPlay") ) document.all("NSPlay").autoStart =3D false; if( sld.filters && sld.filters.revealtrans ) setTimeout( "document.body.start()", sld.filters.revealtrans.duration * = 1000 ); else document.body.start(); } } function MakeSldVis()=20 { var fTrans=3Dg_showAnimation && SldHasTrans() if( fTrans )=09 { if( g_bgSound ) { idx=3Dg_bgSound.indexOf(","); pptSound.src=3Dg_bgSound.substr( 0, idx ); pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1))); } SlideObj.filters.revealtrans.Apply()=09 } SlideObj.style.visibility=3D"visible" if( fTrans ) SlideObj.filters.revealtrans.Play() } function MakeNotesVis()=20 { if( !IsNts() ) return false=20 SlideObj.style.display=3D"none" nObj =3D document.all.item("NotesObj") parent.SetHasNts(0) if( nObj ) {=20 nObj.style.display=3D"" parent.SetHasNts(1) } return 1 } function ChkAutoAdv() { if(SldHasTrans()) SlideObj.onfilterchange=3DAutoAdv else AutoAdv() } function AutoAdv() { if(!IsWin("PPTSld") || !gUseSldTimings )return var sld=3DGetCurSld() if( (sld.mAdvDelay>0) && !parent.IsFramesMode() ) setTimeout("parent.GoToNextSld()",sld.mAdvDelay) } function GetObj(id) { if(g_supportsPPTHTML) return document.all(id); else return document.getElementById(id); } function SldHasTrans() { return SlideObj.style.filter !=3D ""; } function GetSldId()=20 { var regExp =3D /file:\/\/\//i var pos =3D location.href.search(regExp) if (MHTMLPrefix !=3D "" && pos !=3D -1) sId =3D location.href.substring(pos) else { sId =3D RemoveFilePrefixFromHref(location.href); var regExp =3D /\// var fixedHref =3D sId var pos =3D -1 =09 pos =3D fixedHref.search(regExp) while (pos !=3D -1) { fixedHref =3D fixedHref.replace(regExp, "\\") pos =3D fixedHref.search(regExp) } =09 if (g_fBaseHyperlink =3D=3D true) sId =3D "file:///" + fixedHref; else sId =3D fixedHref.substring(fixedHref.lastIndexOf('\\') + 1) } =09 return sId } function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx= tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl= e.display=3D'none'; return true } return false } function IsWin( name ) { return window.name =3D=3D name } function IsNts() { return IsWin("PPTNts") } function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) } function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"= && navigator.appVersion.indexOf("Windows")>0 ) } function SupportsPPTHTML() { var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0 if( msie >=3D 0 ) ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) ) else ver=3DparseInt(appVer) return( ver >=3D 4 && msie >=3D 0 ) } function _RSW() { if( !g_supportsPPTHTML || IsNts() || ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) ) return var padding=3D0; if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6 cltWidth=3Ddocument.body.clientWidth-padding cltHeight=3Ddocument.body.clientHeight-padding factor=3D(1.0*cltWidth)/g_origW if( cltHeight < g_origH*factor ) factor=3D(1.0*cltHeight)/g_origH newSize =3D g_origSz * factor if( newSize < 1 ) newSize=3D1 s=3DSlideObj.style s.fontSize=3DnewSize+"px" s.posWidth=3Dg_origW*factor s.posHeight=3Dg_origH*factor s.posLeft=3D(cltWidth-s.posWidth+padding)/2 s.posTop=3D(cltHeight-s.posHeight+padding)/2 if( g_scaleHyperlinks ) ScaleHyperlinks( factor ) } function _InitAnimations() { animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined'; isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode(); g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc= reen && parent.IsSldVisited()); if( g_animUseRuntime ) { collSeq =3D document.all.tags("seq"); if( collSeq !=3D null ) { for(ii=3D0;ii numSlds ) gSldJumpIdx =3D numSlds; if ( gSldJumpIdx >=3D 0 ) { if ( gSldJumpIdx =3D=3D 0 ) gSldJumpIdx =3D 1; var jumpTo =3D parseInt(gSldJumpIdx); gSldJump =3D 0; gSldJumpIdx =3D ""; win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref ) } } } function _KDH() { if( event.keyCode =3D=3D 8 ) { event.returnValue =3D 0; parent.GoToPrevSld(); } }function DocumentOnClick() { if( IsNts() || parent.HideMenu() ) return; if( ( g_allowAdvOnClick && (window.name=3D=3D"PPTSld") && !parent.IsFrames= Mode() ) || (event && event.keyCode=3D=3D32) ) { =09 if( g_animUseRuntime && g_animMainSequence && g_animMainSequence.cangonex= t ) return; parent.GoToNextSld(); } } var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""= , g_bgSound=3D"", g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser = =3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1; var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w= indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va= r g_animManager =3D null; var g_animUseRuntime =3D false; var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime; var g_animMainSequence =3D null; var ENDSHOW_MESG=3D"Ende der Bildschirmpräsentation. 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