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Skæringslinjekalkulator
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der indsat i α's ligning giver:
der indsat i α's ligning giver:
40
Expression 41: "y" Subscript, 1 , Baseline equals StartFraction, negative "C" Subscript, 1 , Baseline "z" Subscript, 1 , Baseline minus "D" Subscript, 1 , Baseline Over "B" Subscript, 1 , Baseline , EndFraction equals 4
y
1
=
−
C
1
z
1
−
D
1
B
1
equals
=
4
4
41
Expression 42: "x" Subscript, 1 , Baseline equals StartAbsoluteValue, 0 , EndAbsoluteValue equals 0
x
1
=
0
equals
=
0
0
42
Skæringslinje
Skæringslinje
43
(x,y,z) = (0,y₁,z₁) + t (d₁,d₂,d₃)
(x,y,z) = (0,y₁,z₁) + t (d₁,d₂,d₃)
44
x = 0 + t d₁
x = 0 + t d₁
45
"x" Subscript, 1 , Baseline Has graph. To audio trace, press ALT+T.
x
1
"d" Subscript, 1 , Baseline Has graph. To audio trace, press ALT+T.
d
1
r1c2: 0
0
r1c3: negative 234
−
2
3
4
r1c4:
r2c2:
r2c3:
r2c4:
46
y = y₁ + t d₂
y = y₁ + t d₂
47
"y" Subscript, 1 , Baseline Has graph. To audio trace, press ALT+T.
y
1
"d" Subscript, 2 , Baseline Has graph. To audio trace, press ALT+T.
d
2
r1c2: 4
4
r1c3: 156
1
5
6
r1c4:
r2c2:
r2c3:
r2c4:
48
z = z₁ + t d₃
z = z₁ + t d₃
49
"z" Subscript, 1 , Baseline Has graph. To audio trace, press ALT+T.
z
1
"d" Subscript, 3 , Baseline Has graph. To audio trace, press ALT+T.
d
3
r1c2: 5
5
r1c3: 390
3
9
0
r1c4:
r2c2:
r2c3:
r2c4:
50
Test for skæringslinje, når x₁ = 0:
Test for skæringslinje, når x₁ = 0:
51
Expression 52: alpha Subscript, 1 , Baseline equals "A" Subscript, 1 , Baseline "x" Subscript, 1 , Baseline plus "B" Subscript, 1 , Baseline "y" Subscript, 1 , Baseline plus "C" Subscript, 1 , Baseline "z" Subscript, 1 , Baseline plus "D" Subscript, 1 , Baseline equals 0
α
1
=
A
1
x
1
+
B
1
y
1
+
C
1
z
1
+
D
1
equals
=
0
0
52
Expression 53: beta Subscript, 1 , Baseline equals "A" Subscript, 2 , Baseline "x" Subscript, 1 , Baseline plus "B" Subscript, 2 , Baseline "y" Subscript, 1 , Baseline plus "C" Subscript, 2 , Baseline "z" Subscript, 1 , Baseline plus "D" Subscript, 2 , Baseline equals 0
β
1
=
A
2
x
1
+
B
2
y
1
+
C
2
z
1
+
D
2
equals
=
0
0
53
for y = 0
for y = 0
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54
for z = 0
for z = 0
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74
Parameterfremstilling 2
Parameterfremstilling 2
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94
Parameterfremstilling 3
Parameterfremstilling 3
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101
Plantegning
Plantegning
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116
Eksempel
Eksempel
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126
Tekst
Tekst
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154
163
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For x₁ = 0 er skæringslinjen givet ved: ( x , y , z ) = ( 0 , y₁ , z₁ ) + t ( d₁ , d₂ , d₃ )
For y₂ = 0 er skæringslinjen givet ved: ( x , y , z ) = ( x₂ , 0 , z₂ ) + t ( d₁ , d₂ , d₃ )
For z₃ = 0 er skæringslinjen givet ved: ( x , y , z ) = ( x₃ , y₃ , 0 ) + t ( d₁ , d₂ , d₃ )
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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