Ligedannede trekanter - Matematik
Ligedannede trekanter - Matematik
Ligedannede trekanter - Matematik
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Indholdsfortegnelse<br />
Indholdsfortegnelse<br />
<strong>Ligedannede</strong> <strong>trekanter</strong> .......................................................................................................................1<br />
Arven fra Grækenland...................................................................................................................3<br />
Øvelser.............................................................................................................................................4<br />
<strong>Ligedannede</strong> Trekanter..................................................................................................................5<br />
Ensvinklede <strong>trekanter</strong> ................................................................................................................................5<br />
Trekanter med fælles forstørrelsesfaktor.................................................................................................5<br />
<strong>Ligedannede</strong> <strong>trekanter</strong>...............................................................................................................................5<br />
<strong>Ligedannede</strong> <strong>trekanter</strong>...............................................................................................................................6<br />
Definition og sætning og bevis..................................................................................................................6<br />
Definitioner............................................................................................................................................6<br />
Sætninger................................................................................................................................................6<br />
Beviser.....................................................................................................................................................6<br />
Eksempel......................................................................................................................................................7<br />
Opgave med besvarelse..............................................................................................................................8<br />
Kommentarer til besvarelsen.............................................................................................................10<br />
Centrale begreber og sætninger..................................................................................................11<br />
Hvad betyder det?.....................................................................................................................................11<br />
Formler..................................................................................................................................................17<br />
<strong>Ligedannede</strong> <strong>trekanter</strong>........................................................................................................................17<br />
Alle <strong>trekanter</strong>.......................................................................................................................................17<br />
Retvinklede <strong>trekanter</strong>..........................................................................................................................18<br />
Geometriske Modeller..................................................................................................................19<br />
Eksempel: Flagstang............................................................................................................................19<br />
Opgave: Åens bredde..........................................................................................................................20<br />
Målebordsblade som modeller af landskabet.................................................................................21<br />
Opgave .................................................................................................................................................22<br />
Aristarchos jord-sol-måne model......................................................................................................22<br />
Jordens omkreds (Eratosthenes)........................................................................................................24<br />
Kugle eller pandekage?......................................................................................................................25<br />
Oversigt..........................................................................................................................................26<br />
Du har lært...........................................................................................................................................26<br />
Indholdsfortegnelse......................................................................................................................27<br />
27
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