Matematik: Min egen formelsamling og noter

1.0 Basal Matematik ............................................................................................................................ 4

1.1 Tal & Talsystemer ...................................................................................................................... 4

1.2 De 4 regnearter ........................................................................................................................... 5

1.3 Brøkregning ............................................................................................................................... 8

1.4 Enheder .................................................................................................................................... 11

1.5 Afrunding ................................................................................................................................. 14

1.6 Tidsberegninger ....................................................................................................................... 14

1.7 Regnetrekanter ......................................................................................................................... 15

1.8 Potensregning ........................................................................................................................... 15

1.9 Koordinatsystemet ................................................................................................................... 16

1.10 Procentregning ....................................................................................................................... 17

1.11 Målestoksforhold ................................................................................................................... 19

2.0 Geometri: ..................................................................................................................................... 20

2.1 Vinkler & Linjer....................................................................................................................... 20

2.2 Trekanter: ................................................................................................................................. 21

2.3 Cirklen:..................................................................................................................................... 24

2.4 Frikanter ................................................................................................................................... 25

2.5 Perspektivtegning ..................................................................................................................... 29

2.6 Drejning af figur....................................................................................................................... 29

3.0 Plan & Rumgeometri (Areal & Rumfang) ................................................................................... 30

3.1 Beregning af Arealer af Geometriske figurer: ......................................................................... 30

3.2 Areal af sammensatte figurer. .................................................................................................. 31

3.3 Arealet imellem to figurer (udenoms areal): ............................................................................ 31

3.4 Omkredsen af figurer. .............................................................................................................. 31

3.5 Overfaldearealet af Geometriske figurer: ................................................................................ 31

3.6 Rumfanget af objekter med ens snitflade (cylinder, kasse, prisme) ........................................ 32

3.7 Rumfanget af objekter med forskellige snitflader (pyramide, kegle, kugle & Stubbe): .......... 32

4. Trigonometri (geometri) ................................................................................................................ 34

4.1 Tagens, Cosinus, Sinus (retvinklet trekanter) .......................................................................... 34

4.2 Sinus relationen (vilkårlige trekanter)...................................................................................... 35

4.3. Cosinus Relationen ................................................................................................................. 36

4.4 Herons formel (areal ud fra sidelængder) ................................................................................ 36

http://madsmatik.dk/ d.03-02-2016

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Matematik / Min egen formelsamling & Noter

5.0 Algebra ......................................................................................................................................... 37