<Text-field style="Heading 1" layout="Heading 1">Indledning</Text-field>

<Text-field style="Heading 1" layout="Heading 1">Teori</Text-field>

<Text-field style="Heading 2" layout="Heading 2">Den rette linjes lignnig</Text-field>

For en ret linje vil f\303\270lgende ligning altid g\303\246lde: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJhRidGL0YyLUY2Ni1RJyZzZG90O0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZWLUYsNiVRInhGJ0YvRjItRjY2LVEiK0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZpbi1GLDYlUSJiRidGL0YyRjk=.JSFH

Med den ligning er det muligt at bestemme samtlige x og y koordinaterne for en ret linje.

V\303\246rdien a kaldes h\303\246ldningskoeffcienten, som bestemme hvor meget linjen h\303\246lder (se ogs\303\245 "Bestemmelse af "a" i en ret linjes ligning"). V\303\246rdien svare til hvor meget y v\303\246rdien vokser eller aftager n\303\245r x v\303\246rdien vokser 1.

Hvis en linjes a v\303\246rdi er st\303\270rre end nul s\303\245 vil linjen g\303\245 ned ad mod venstre, og hvis a er mindre end nul s\303\245 vil den g\303\245 op ad mod venstre. Hvis a derimod er lig med nul s\303\245 vil linjen v\303\246rre parralel med x-aksen.

V\303\246rdien b er y v\303\246rdien for det koordinat hvor linjen sk\303\246r y aksen.

Det skylles at denne ligning vil passe:

QyQvSSJiRzYiLCYtSSIqRyUqcHJvdGVjdGVkRzYkSSJhR0YlIiIhIiIiRiRGLSEiIg==

S\303\245 hvis man s\303\246tter x v\303\246rdien til at v\303\246re nul vil y v\303\246rdien ende med at v\303\246re LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=.

<Text-field style="Heading 2" layout="Heading 2">Bestemmelse af "a" i en ret linjes ligning</Text-field>

For en ret linjes ligning st\303\245r v\303\246rdien a for hvor meget en linje stiger per x koordinat.

N\303\245r a v\303\246rdien skal bestemmes bruges denne ligning:

QyQvSSJhRzYiKiYsJiZJInlHRiU2IyIiIkYrJkYpNiMiIiMhIiJGKywmJkkieEdGJUYqRismRjJGLUYvRi9GLw==

Det skal dog siges at det ikke er muligt at finde h\303\246ldningnen (a) for en lodret linje.

Ligningen vil nu blive bevist:

som n\303\246vnt i tidligere teori afsnit s\303\245 er en ret linjes ligning defineret s\303\245ledes: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSNheEYnRi9GMi1GNjYtUSIrRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORlYtRiw2JVEiYkYnRi9GMkY5:

Vi antager at vi har to punkter p\303\245 linjen, A

QyQ2JCZJInhHNiI2I0kiQUdGJiZJInlHRiZGJyEiIg==

og B

QyQ2JCZJInhHNiI2I0kiQkdGJiZJInlHRiZGJyEiIg==

Da alle punkter p\303\245 linjen har kordinater der passer i ligningen vil f\303\270lgende passe:

QyQvJkkieUc2IjYjSSJBR0YmLCYmSSNheEdGJkYnIiIiSSJiR0YmRiwhIiI=

QyQvJkkieUc2IjYjSSJCR0YmLCYmSSNheEdGJkYnIiIiSSJiR0YmRiwhIiI=

Hvis vi tr\303\246kker ligningen mad A's koordinater v\303\246k for ligningen med B's koordinater for vi f\303\270lgende:

QyQtSSRpZmZHNiI2JC8sJiZJInlHRiU2I0kiQkdGJSIiIiZGKjYjSSJBR0YlISIiLUkiK0clKnByb3RlY3RlZEc2JCwmJkkjYXhHRiVGK0YtSSJiR0YlRi0sJiZGOEYvRjFGOUYxL0YoLCZGN0YtRjtGMUYx

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

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Hvilket s\303\245 kan reduceres endnu mere:

QyQtSSRpZmZHNiI2JC8sJiZJInlHRiU2I0kiQkdGJSIiIiZGKjYjSSJBR0YlISIiLCYmSSNheEdGJUYrRi0mRjRGL0YxL0YoLUkiYUdGJTYjLCYmSSJ4R0YlRitGLSZGPEYvRjFGMQ==

Og s\303\245 kan ligningen findes:

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

<Text-field style="Heading 2" layout="Heading 2">Vinkel mellem to linjer</Text-field>

Vinklelen mellem to linjer kan findes ved hj\303\246lp af f\303\270lgende ligning:

JSFH

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

Hvor

Jkkidkc2IjYjSSJ4R0Yk er vinkelen mellem den p\303\245 g\303\246lende linje og x aksen og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= er h\303\246ldningen for den samme linjen (se ogs\303\245 figur 2.0 og 2.1).

Jkkidkc2IjYjSSJ4R0Yk

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Figur 1.0 Figur 1.1

For at finde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, som er vinklen mellem de to linjer, skal vinkelerne mellem linjerne og x-aksen kendes.

Hvis vinkelen mellem de to linjer er under 90 grader (figur 2.0), skal differensen mellem vinklerne mellem linjerne og x-aksen findes.

Det vil alts\303\245 sige vinkelen den ene linje og x-aksen (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEidkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y+) tr\303\246kkes fra vinklen mellem den anden linje og x-aksen (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEidkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y+).

QyQvSSJ2RzYiLCYmRiQ2IyIiIkYpJkYkNiMiIiMhIiJGLQ==

Hvis vinklen er over 90 grader (figur 2.1), skal de to vinkler l\303\246gges sammen.

Her vil ligningen se s\303\245ledes ud:

QyQvSSJ2RzYiLCYmRiQ2IyIiIkYpJkYkNiMiIiNGKSEiIg==

<Text-field style="Heading 2" layout="Heading 2">Bestemmelse af en vektor</Text-field>

For at forklare hvordan man bestemmer en vektors v\303\246rdier, er det vigtigt at man forst\303\245r hvad en vektor er.

popul\303\246rt sagt er en vektor en pil. Alts\303\245 en linje med et start start og slut punkt.

M\303\245den en vektor defineres p\303\245 er ved at fort\303\246lle hvilken st\303\270relse x og y kordinat der er fra start til slut punkt.(se figur 1.0)

En vektores deffination skrives s\303\245ledes: 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:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlZ0VGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiUhZiNGKi0lKUNISUxEUkVORzYiFigur 2.0

For at vise hvordan man definere en vektor vil der tages udgangspunkt i figur 1.1.

Som sagt bestemmes en vektor udfra forskellenen mellem start og slutpunkt.

Forskellen findes ved at tr\303\246kke start punktets x kordinat fra dets slutkordinat og det samme g\303\246lder for y kordinatet. S\303\245 vil ligningen nedefor g\303\246lde:

QyQzL0k+I21vdmVyKG1pKCJBQiIpLG1vKCImcmFycjsiKSlHNiItSSliaW5vbWlhbEdGJjYkLCYmSSJ4R0YmNiNJImFHRiYiIiImRiw2I0kiYkdGJiEiIiwmJkkieUdGJkYtRi8mRjZGMUYzL0YnLUYoNiRGLEY2RjM=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

JSFH

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JSFH

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2.1

<Text-field style="Heading 2" layout="Heading 2">Ligningen for en cirkel</Text-field>

For en cirkel kan der opstilles en ligning som vil kunne deffinere samtlige x og y kordinater p\303\245 cirklen.

Radius (r) er afstanden mellem centrum C(a,b) og et punkt p\303\245 perferien P (x,y). Se ogs\303\245 figur 3.0

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 3.0

Da b\303\245de P og C er punkter vil f\303\270lgende passe:

QyQvLUkkYWJzRyUqcHJvdGVjdGVkRzYjSSNDUEc2IkkickdGKSEiIg==

Med afstandsformlen kan vi omskrive formlen s\303\245ledes:

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

<Text-field style="Heading 2" layout="Heading 2">Afstand fra punkt til linie</Text-field>

For at finde afstanden mellem et punkt og en linje bruges denne formel:

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

Ved hj\303\246lp af figur 3.0 vil formlen blive forklaret. I figuren er det afstanden mellem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIm1GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvRjZRJ25vcm1hbEYn og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= som skal findes.

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I h\303\270jer side af figur 3.0 er der blevet indsat nogle retvinklede trekanter. Trekant LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIm1GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82JVEjQUNGJ0YyRjUvRjZRJ25vcm1hbEYn er dannet ved at inds\303\246tte h\303\246ldningen a som den ene side, hvilket vil sige at af standen mellem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIm1GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvRjZRJ25vcm1hbEYn og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= er 1.

Trekanten LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIm1GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82JVEjQURGJ0YyRjUvRjZRJ25vcm1hbEYn's vinkel LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIm1GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvRjZRJ25vcm1hbEYn er summen af vinklerne LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEjQVBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1GLzYlUSJtRidGMkY1RjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiVRIkNGJ0YyRjUvRjZRJ25vcm1hbEYn og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEjQ3BGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1GLzYlUSJtRidGMkY1RjJGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiVRIkRGJy9GM1EmZmFsc2VGJy9GNlEnbm9ybWFsRidGRQ== lig med 90 grader. Det vil alts\303\245 sige at trekant LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUYvNiVRIm1GJ0YyRjUvRjZRJ25vcm1hbEYnLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82JVEjQURGJ0YyRjVGPQ== er en retvinklet trekant. Hvilket ogs\303\245 betyder at trekant LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIm1GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82JVEjQnBGJ0YyRjUvRjZRJ25vcm1hbEYn er retvinklet.

S\303\245 n\303\245r vinklerne LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIm1GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82JVEjQURGJ0YyRjUvRjZRJ25vcm1hbEYn og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRIm1GJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82JVEjQnBGJ0YyRjUvRjZRJ25vcm1hbEYn er ens vil det sige at de er ens vinklet og derfor kan f\303\270lgende forhold stilles op:

QyQvKiYtSSRhYnNHJSpwcm90ZWN0ZWRHNiMqJiZJIlBHNiI2I0kibUdGLCIiIkkiQUdGLEYvRi8tRiY2IyZJI0NQR0YsRi0hIiIqJi1GJjYjSSNQQkdGLEYvLUYmNiMqJkYqRi9GK0YvRjVGNQ==

Da LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNiQtSSNtaUdGJDYlUSNQQkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GOFEnbm9ybWFsRidGOi8lJW9wZW5HUSJ8Z3JGJy8lJmNsb3NlR0Y+Rjo= findes som den numeriske v\303\246rdi af differensen mellem P og B's y v\303\246rdier. Det vil sige 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.

Her fra kan man s\303\245 n\303\245 til f\303\270lgende:

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<Text-field style="Heading 1" layout="Heading 1">Dokumentation</Text-field>

<Text-field style="Heading 2" layout="Heading 2"></Text-field>

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JSFH

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print(); # input placeholder

QyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJJnBsb3RzR0YlISIi

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print(); # input placeholder

Tegn \342\200\235havet\342\200\235 ind i et koordinatsystem.

LUklcGxvdEc2IjYmLUkkPHxncj5HSShfc3lzbGliR0YkNiQtSSQ8LD5HRig2JiIjISkiJD8iIiIhRi8tRis2JkYuIiMhKiEjUyIjSS9JJnN0eWxlR0YkSSZwb2ludEdGJC9JJ3N5bWJvbEclKnByb3RlY3RlZEdJLVNvbGlkZGlhbW9uZEdGJC9JK3N5bWJvbHNpemVHRiQiI0Q=

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Figur: 5

JSFH

<Text-field style="Heading 2" layout="Heading 2">Sp\303\270rgsm\303\245l 1</Text-field>

Bestem de to sejlliniers ligninger, samt deres vinkler med vandret.

F\303\270lgende er opgivet:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NDU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIjpGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy

QyQ+JkkieEc2IjYjSSZhbHBoYUdGJiIjISkhIiI=

QyQ+JkkieUc2IjYjSSZhbHBoYUdGJiIkPyIhIiI=

QyRJJWJldGFHNiIhIiI=

QyQ+JkkieEc2IjYjSSViZXRhR0YmIiQ/IiEiIg==

QyQ+JkkieUc2IjYjSSViZXRhR0YmIiMhKiEiIg==

QyRJJmRlbHRhRzYiISIi

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QyQ+JkkieEc2IjYjSSZkZWx0YUdGJiIiISEiIg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

QyQ+JkkieUc2IjYjSSZkZWx0YUdGJiIjSSEiIg==

QyRJI1BpRyUqcHJvdGVjdGVkRyEiIg==

QyQ+JkkieEc2IjYjSSNQaUclKnByb3RlY3RlZEciIiEhIiI=

QyQ+JkkieUc2IjYjSSNQaUclKnByb3RlY3RlZEchI1MhIiI=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 3" layout="Heading 3">\316\261-\317\200</Text-field>

<Text-field style="Heading 4" layout="Heading 4">Ligning for \316\261\317\200</Text-field>

Her findes a (h\303\246ldning) for sejllinien \316\261-\317\200:

PiZJImFHNiI2I0ksJmFscGhhOyZwaTtHRiUqJiwmJkkieUdGJTYjSSZhbHBoYUdGJSIiIiZGKzYjSSNQaUclKnByb3RlY3RlZEchIiJGLiwmJkkieEdGJUYsRi4mRjZGMEYzRjM=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

IiIj

print(); # input placeholder

NiI=

Her findes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUS0mIzk0NTsmIzk2MDtGJ0YyRjVGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjU=(sk\303\246ringspunktet p\303\245 y aksen) for sejllinien \316\261-\317\200:

PiZJImJHNiI2I0ksJmFscGhhOyZwaTtHRiUtSSZzb2x2ZUdGJTYkLyZJInlHRiU2I0kmYWxwaGFHRiUsJiomJkkiYUdGJUYmIiIiJkkieEdGJUYuRjRGNEYkRjRGJA==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

ISNT

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

Her s\303\246ttes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUS0mIzk0NTsmIzk2MDtGJ0YyRjVGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjU=og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUS0mIzk0NTsmIzk2MDtGJ0YyRjVGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjU= ind i ligningen for den rette linje:

L0kieUc2IiwmLUkwZGVsYXlEb3RQcm9kdWN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJEksVHlwZXNldHRpbmdHNiRGKUkoX3N5c2xpYkdGJDYlJkkiYUdGJDYjSSwmYWxwaGE7JnBpO0dGJEkieEdGJEkldHJ1ZUdGKSIiIiZJImJHRiRGMkY2

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kieUc2IiwmSSJ4R0YkIiIjISNTIiIi

Resultatet kan bekr\303\246ftes ved at kigge p\303\245 figur 6. Det kan ses at sejllinjen \316\261\317\200, sk\303\246r y aksen i -40, hvilket fort\303\246ller os at b v\303\246rdien er korrekt. V\303\246rdien a kan ogs\303\245 noglelunde bekr\303\246ftes, da linjen vokser ca duoblet s\303\245 meget p\303\245 y aksen som den g\303\270r p\303\245 x aksen.

<Text-field style="Heading 4" size="14" bold="true" layout="Heading 4">Vinkel mellem \316\261\317\200 og vandret</Text-field>

Her bestemmes vinkelen mellem skibet \316\261's sejlinje og vandret:

LSZJJmV2YWxmRyUqcHJvdGVjdGVkRzYjIiIkNiMvJkkidkc2IjYjSSwmYWxwaGE7JnBpO0dGLC1JJ2ludlRhbkdGLDYjJkkiYUdGLEYt

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyZJInZHNiI2I0ksJmFscGhhOyZwaTtHRiUkIiRQJyEiIg==

Resultatet kan samlignes med figur 6. Ud fra den figuren kan det ses at 63\302\260 ikke er langt v\303\246k fra vinkelen der.

JSFH

<Text-field style="Heading 3" layout="Heading 3">\316\262-\316\264</Text-field>

<Text-field style="Heading 3" layout="Heading 3">Ligning for \316\262\316\264</Text-field>

Her findes a (h\303\246ldning) for sejllinien \316\262-\316\264:

PiZJImFHNiI2I0kuJmJldGE7JmRlbHRhO0dGJSomLCYmSSJ5R0YlNiNJJWJldGFHRiUiIiImRis2I0kmZGVsdGFHRiUhIiJGLiwmJkkieEdGJUYsRi4mRjVGMEYyRjI=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

IyIiIiIiIw==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

Her findes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYmUS0mIzk0NTsmIzk0ODtGJy9GM1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ==(sk\303\246ringspunktet p\303\245 y aksen) for sejllinien \316\262-LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEoJmRlbHRhO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=:

PiZJImJHNiI2I0kuJmJldGE7JmRlbHRhO0dGJS1JJnNvbHZlRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQvJkkieUdGJTYjSSViZXRhR0YlLCYqJiZJImFHRiVGJiIiIiZJInhHRiVGMUY3RjdGJEY3RiQ=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

IiNJ

JSFH

Her s\303\246ttes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUS0mIzk0NjsmIzk0ODtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ==og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUS0mIzk0NjsmIzk0ODtGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNQ== ind i ligningen for den rette linje:

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LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kieUc2IiwmSSJ4R0YkIyIiIiIiIyIjSUYo

Resultatet kan bekr\303\246ftes ved at kigge p\303\245 figur 6. Det kan ses at sejllinjen \316\262\316\264, sk\303\246r y aksen i 30, hvilket fort\303\246ller os at b v\303\246rdien er korrekt. V\303\246rdien a kan ogs\303\245 noglelunde bekr\303\246ftes, da linjen vokser ca halvt s\303\245 meget p\303\245 y aksen som den g\303\270r p\303\245 x aksen.

JSFH

<Text-field style="Heading 3" layout="Heading 3">Vinkel mellem \316\262\316\264 og vandret</Text-field>

JSFH

Her bestemmes vinkelen mellem skibet \316\261's sejlinje og vandret:

LSZJJmV2YWxmRyUqcHJvdGVjdGVkRzYjIiIkNiMvJkkidkc2IjYjSS4mYmV0YTsmZGVsdGE7R0YsLUknaW52VGFuR0YsNiMmSSJhR0YsRi0=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyZJInZHNiI2I0kuJmJldGE7JmRlbHRhO0dGJSQiJG0jISIi

Resultatet kan samlignes med figur 6. Ud fra den figuren kan det ses at 26\302\260 ikke er langt v\303\246k fra vinkelen der.

En Tegning af sejllinjerne \316\261\317\200 og \316\262\316\264:

JSFH

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

QyQ+SS1sJmFscGhhOyZwaTtHNiItSSZhcnJvd0dGJTYoNyQmSSJ4R0YlNiNJJmFscGhhR0YlJkkieUdGJUYsNyQmRis2I0kjUGlHJSpwcm90ZWN0ZWRHJkYvRjIkIiIjISIiJCIiJUY4JCIiIkY4L0kmY29sb3JHRiVJJmdyZWVuR0YlRjg=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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figur. 6

<Text-field style="Heading 2" layout="Heading 2">Sp\303\270rgsm\303\245l 2</Text-field>

Bestem koordinaterne til det punkt hvor de to skibes sejllinier krydser hinanden.

Liningerne for de to sejllinjer:

Linje \316\261-\317\200:

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

L0kieUc2IiwmSSJ4R0YkIiIjISNTIiIi

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kieUc2IiwmSSJ4R0YkIiIjISNTIiIi

Linje \316\262-\316\264:

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

L0kieUc2IiwmLUkwZGVsYXlEb3RQcm9kdWN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJEksVHlwZXNldHRpbmdHNiRGKUkoX3N5c2xpYkdGJDYlIyIiIiIiI0kieEdGJEkldHJ1ZUdGKUYxIiNJRjE=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kieUc2IiwmSSJ4R0YkIyIiIiIiIyIjSUYo

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

Her bestemmes x kordinatet for sk\303\246ringspunktet:

PiZJInhHNiI2I0kpa29yZGluYXRHRiUtJkkmZXZhbGZHJSpwcm90ZWN0ZWRHNiMiIiU2Iy1JJnNvbHZlRzYkRitJKF9zeXNsaWJHRiU2JC8sJkYkIiIjISNTIiIiLCYtSTBkZWxheURvdFByb2R1Y3RHNiRGKy9JK21vZHVsZW5hbWVHRiVJLFR5cGVzZXR0aW5nR0YxNiUjRjhGNkYkSSV0cnVlR0YrRjgiI0lGOEYk

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

JCIlblkhIiM=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

Her bestemmes y kordinatet for sk\303\246ringspunktet:

PiZJInlHNiI2I0kpa29yZGluYXRHRiUtJkkmZXZhbGZHJSpwcm90ZWN0ZWRHNiMiIiU2Iy9GJCwmJkkieEdGJUYmIyIiIiIiIyIjSUY0

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

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Det vil sige at sk\303\246ringspunktet er f\303\270lgende:

NiQmSSJ4RzYiNiNJKWtvcmRpbmF0R0YlJkkieUdGJUYm

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

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P\303\245 figur 6 kan de overst\303\245enden kordinater bekraftes, da det kan antages at sk\303\246ring punktet skal ligge omkring (50,50), hvilket jeg vudere resultatet til at g\303\270re.

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

print(); # input placeholder

<Text-field style="Heading 2" layout="Heading 2">Sp\303\270rgsm\303\245l 3</Text-field>

Bestem den spidse vinkel mellem de to sejllinier.

F\303\270lgende er opgivet:

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<Text-field style="Heading 3" layout="Heading 3">Vektore s\303\246ttet for <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>

Her udregnes vektore s\303\246ttet for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JUYrLUkmbW92ZXJHRiQ2JS1GIzYoLUYsNiZRLSYjOTQ1OyYjOTYwO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0Y7LyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y5LyUrZm9yZWdyb3VuZEdRK1swLDE2MCw4MF1GJy8lLHBsYWNlaG9sZGVyR0Y7RjxGPi1JI21vR0YkNi5RLSZSaWdodEFycm93O0YnRkQvRj9RJ25vcm1hbEYnLyUmZmVuY2VHUSZ1bnNldEYnLyUqc2VwYXJhdG9yR0ZOLyUpc3RyZXRjaHlHRjsvJSpzeW1tZXRyaWNHRk4vJShsYXJnZW9wR0ZOLyUubW92YWJsZWxpbWl0c0dGTi8lJ2FjY2VudEdGTi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmduL0ZaRjtGSkYrRko=:

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print(); # input placeholder

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print(); # input placeholder

IiRnIg==

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print(); # input placeholder

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<Text-field style="Heading 3" layout="Heading 3">Vektore s\303\246ttet for <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>

Her udregnes vektore s\303\246ttet for 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:

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print(); # input placeholder

IiQ/Ig==

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print(); # input placeholder

IiNn

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print(); # input placeholder

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JSFH

Her udregnes vinklen mellem de to vektore:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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print(); # input placeholder

JCIlJ28kISIj

Resultatet kan vuderes som korrekt p\303\245 bagrund af figur 6, som tydligt viser at vinkelen vil ligge mellem 45 og 20 grader.

<Text-field style="Heading 2" layout="Heading 2">Sp\303\270rgsm\303\245l 4</Text-field>

Hvor lang bliver de to skibes sejltid i timer og minutter til deres destinationer.

F\303\270lgende oplysninger bliver brugt til at regne opgaven:

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print(); # input placeholder

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print(); # input placeholder

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print(); # input placeholder

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print(); # input placeholder

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print(); # input placeholder

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<Text-field style="Heading 3" layout="Heading 3">Tidsperiode skibet \316\261 vil bruge</Text-field>

Her udregnes tiden skibet \316\261 vil bruge p\303\245 at n\303\245 dens destination:

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print(); # input placeholder

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JSFH

Her findes det overskydne i minutter:

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print(); # input placeholder

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Hvilket vil sige at skibet \316\261 vil bruger f\303\270lgende tid p\303\245 at n\303\245 dens destination:

11 timer og 56 minutter

<Text-field style="Heading 3" layout="Heading 3">Tidsperiode skibet \316\262 vil bruge</Text-field>

Her udregnes tiden skibet \316\262 vil bruge p\303\245 at n\303\245 dens destination:

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print(); # input placeholder

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Her findes det overskydne i minutter:

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print(); # input placeholder

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Hvilket vil sige at skibet \316\262 vil bruger f\303\270lgende tid p\303\245 at n\303\245 dens destination:

13 timer og 25 minutter

P\303\245 baggrund af hastigheden og distansen s\303\245 er de overst\303\245ende resultater realistiske.

Kaptajnen ombord p\303\245 \316\262 frygter en kollision i sk\303\246ringspunktet mellem de sejllinier

<Text-field style="Heading 2" layout="Heading 2">Sp\303\270rgsm\303\245l 5</Text-field>

Hvad er \316\262\342\200\231s kritiske kollisionshastighed, n\303\245r det ligger fast at \316\261 sejler med 15 knob?

F\303\270lgende er kendt fra tidligere sp\303\270rgsm\303\245l eller opgave opl\303\246gget:

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print(); # input placeholder

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print(); # input placeholder

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Her findes vektoerne for \316\261 og \316\262's sejlinjer mog kollisionspunktet (K):

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print(); # input placeholder

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JSFHHer udregnes afstanden mellem skibet \316\261 og kollisionspunktet (K):

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print(); # input placeholder

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Her udregnes hvor lang tid skibet \316\261 bruger p\303\245 at sejle til kollisionspunktet:

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print(); # input placeholder

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Her udregnes afstanden mellem skibet \316\262 og kollisionpunktet K:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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print(); # input placeholder

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print(); # input placeholder

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Her udregnes hastigheden som skibet \316\262 skal ramme for at kolliderer med skib \316\261:

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print(); # input placeholder

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Resultat her vuderes realistisk, da det ikke vil v\303\246re en voldsom for\303\270gelse af hastighed skibet skal yde. Det ses ogs\303\245 at skibet \316\261 kun sejler ca 1 knob mindre hvilket og bekr\303\246fter teorien om at det ikke er en hastighed som er urealistisk for et s\303\245dan skib.

<Text-field style="Heading 2" layout="Heading 2">Sp\303\270rgsm\303\245l 6</Text-field>

Hvor lang tid g\303\245r der i timer og minutter f\303\270r kollisionen indtr\303\246ffer, hvis \316\262 skyder netop den kritiske kollisionshastighed?

F\303\270lgende er kendt fra tidligere sp\303\270rgsm\303\245l eller opgave opl\303\246gget:

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print(); # input placeholder

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print(); # input placeholder

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Her udregnes afstanden mellem skibet \316\262 og kollisions punktet:

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print(); # input placeholder

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Her udregnes hvor lang tid skibet \316\262 vil bruge p\303\245 at n\303\245 kollisions punktet fra sit startspunkt

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print(); # input placeholder

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print(); # input placeholder

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Her findes det overskydne i minutter:

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print(); # input placeholder

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Hvilket vil sige at skibet \316\262 vil bruger f\303\270lgende tid p\303\245 at n\303\245 kollisions punktet:

4 timer og 58 minutter

Tiden er ikke urealistisk hvis man kigger p\303\245 hvorlang tid skibet \316\261 (som n\303\246sten sejler med smame fart) bruger p\303\245 at n\303\245 dens destination.

B\303\245den \302\265 ligger i havnebyen \316\264 og kan sejle 20 knob.

<Text-field style="Heading 2" layout="Heading 2">Sp\303\270rgsm\303\245l 7</Text-field>

Bestem ligningen for den cirkel, som beskriver, hvor \302\265 kan v\303\246re efter en times sejllads.

F\303\270lgende er opgivet:

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LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

QyRJJmRlbHRhRzYiISIi

QyQ+JkkieEc2IjYjSSZkZWx0YUdGJiIiISEiIg==

QyQ+JkkieUc2IjYjSSZkZWx0YUdGJiIjSSEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

Her inds\303\246ttes overst\303\245ende oplysninger i grundformlen for en cirkel:

LywmKiQtSSIrRyUqcHJvdGVjdGVkRzYkSSJ4RzYiIiIhIiIjIiIiKiQsJkkieUdGKkYtISNJRi1GLEYtLUkiXkdGJzYkIiM/Riw=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LywmKiRJInhHNiIiIiMiIiIqJCwmSSJ5R0YmRighI0lGKEYnRigiJCsl

Da kvadratroden af 400 er 20 som er raduis af cirklen og at kordinaterne er korrekte vil jeg vudere resultatet som v\303\246rende korrekt.

Fra havnebyen \316\264 skal b\303\245den (My) \302\265 aflevere et brev til \316\261

B\303\245den \302\265 kan sejle 20 knob. Efter at have tilbagelagt 20 s\303\270mil p\303\245 den nye kurs, l\303\246gger stormen sig. Skibet befinder sig nu i positionen (My)

<Text-field style="Heading 2" layout="Heading 2">Sp\303\270rgsm\303\245l 8</Text-field>

Bestem afstanden fra \316\264 til \316\261\342\200\231s sejllinie.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

QyRJJmRlbHRhRzYiISIi

QyQ+JkkieEc2IjYjSSZkZWx0YUdGJiIiISEiIg==

QyQ+JkkieUc2IjYjSSZkZWx0YUdGJiIjSSEiIg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

Her findes a (h\303\246ldning) for sejllinien \316\261-\317\200:

PiZJImFHNiI2I0ksJmFscGhhOyZwaTtHRiUqJiwmJkkieUdGJTYjSSZhbHBoYUdGJSIiIiZGKzYjSSNQaUclKnByb3RlY3RlZEchIiJGLiwmJkkieEdGJUYsRi4mRjZGMEYzRjM=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

IiIj

print(); # input placeholder

NiI=

Her findes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUS0mIzk0NTsmIzk2MDtGJ0YyRjVGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjU=(sk\303\246ringspunktet p\303\245 y aksen) for sejllinien \316\261-\317\200:

PiZJImJHNiI2I0ksJmFscGhhOyZwaTtHRiUtSSZzb2x2ZUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkLyZJInlHRiU2I0kmYWxwaGFHRiUsJiomJkkiYUdGJUYmIiIiJkkieEdGJUYxRjdGN0YkRjdGJA==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

ISNT

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kieUc2IiwmLUkwZGVsYXlEb3RQcm9kdWN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJEksVHlwZXNldHRpbmdHNiRGKUkoX3N5c2xpYkdGJDYlJkkiYUdGJDYjSSwmYWxwaGE7JnBpO0dGJEkieEdGJEkldHJ1ZUdGKSIiIiZJImJHRiRGMkY2

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kieUc2IiwmSSJ4R0YkIiIjISNTIiIi

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LSZJJmV2YWxmRyUqcHJvdGVjdGVkRzYjIiIlNiMtSSlzaW1wbGlmeUc2JEYlSShfc3lzbGliRzYiNiMtRiQ2IyomLUkkYWJzR0YlNiMsKComJkkiYUdGLTYjSSwmYWxwaGE7JnBpO0dGLSIiIiZJInhHRi02I0kmZGVsdGFHRi1GO0Y7JkkiYkdGLUY5RjsmSSJ5R0YtRj4hIiJGOy1JJXNxcnRHRis2IywmKiRGNyIiI0Y7RjtGO0ZE

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

JCIlSUohIiM=

Udfra figur 6 er det ikke urealistisk at vudere at en ret linje fra \316\264 til sejllinjen \316\261\317\200 til at v\303\246re p\303\245 31. Da det er umidlbart er tydeligt at den vil ligge mellem 20-40.