PARABOLA
Presentation
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Mahmudin Mahmudin
Used 2+ times
FREE Resource
14 Slides • 12 Questions
1
Persamaan parabola dengan puncak H(m,n)
F (m, n+p)
A (x, y)
B (x, n-p)
Parabola terbuka ke atas
2
Multiple Choice
d1=(.........)2 +(y−(n+p))2
x−y
x−m
x−n
x−p
y−m
3
Multiple Choice
d2=(x−x)2+(......)2
n+p−y
n−p+y
n−p−y
x−n−p
x−y
4
5
6
7
Multiple Choice
(x−m)2+(y−n)2−........+p2=(y−n)2+......+p2
2p
2(y−n)
2p(y−n)
p (y−n)
2p (y+n)
8
(x - m)2 + (y - n)2 - 2p (y - n) + p2 = (y - n)2 + 2p (y - n) + p2
(x - m)2 + (y - n)2 - 2p (y - n) + p2 - (y - n)2 - 2p (y - n) - p2 = 0
(x - m)2 + (y - n)2 - 2p (y - n) + p2 - (y - n)2 - 2p (y - n) - p2 = 0
9
Multiple Choice
(x−m)2−......=0
2p (y−n)
p (y−n)
0
4p (y−n)
4 (y−n)
10
Multiple Choice
(x−m)2=.....
2p (y−n)
−4p (y−n)
0
4p (y−n)
4 (y−n)
11
Puncak H(m,n)
Parabola terbuka ke atas
Titik Fokus (m, n + p)
Garis direktis y = n - p
Parabola terbuka ke bawah
Puncak H(m,n)
Titik Fokus (m, n - p)
Garis direktis y = n + p
12
Persamaan parabola dengan puncak H(m,n)
A (m-p, y)
B (x, y)
F (m+p, n)
Parabola terbuka ke kanan
13
Multiple Choice
d1=(x−(m+p))2 +(.......)2
y−m
y−n
x−n
y−y
x−m
14
Multiple Choice
d2=(x−(m−p))2 +(.......)2
y−m
y−n
x−n
y−y
x−m
15
16
17
18
Multiple Choice
(.......)2−2p(x−m)+p2+(y−n)2=(........)2+2p(x−m)+p2
x+m
x−m
x+n
x−n
19
(x - m)2 - 2p (x - m) + p2 + (y - n)2 = (x - m)2 + 2p (x - m) + p2
(x - m)2 - 2p (x - m) + p2 + (y - n)2 - (x - m)2 - 2p (x - m) - p2 = 0
(x - m)2 - 2p (x - m) + p2 + (y - n)2 - (x - m)2 - 2p (x - m) - p2 = 0
20
Multiple Choice
(.......)2−4p (x−m)=0
y−n
p (y−n)
y−x
p2
x−m
21
Multiple Choice
(y−n)2=......
y−n
4p (y−n)
x−m
p (x−m)
4p (x−m)
22
Puncak H(m,n)
Parabola terbuka ke kanan
Titik Fokus (m+p, n)
Garis direktis x = m - p
Parabola terbuka ke kiri
Puncak H(m,n)
Titik Fokus (m-p, n)
Garis direktis x = m + p
23
Jika sebuah parabola memiliki titik puncak (3,2) dan titik fokus (1,2), tentukan persamaan parabola tersebut!
24
Multiple Choice
Parabola tersebut terbuka ke ....
Atas
Bawah
Kiri
Kanan
25
Fill in the Blanks
26
Nilai m = 3 , n = 2
Parabola terbuka ke kiri
Persamaan parabola dengan puncak H(m,n) dan terbuka ke kiri adalah:
Titik puncak (3,2) = (m,n)
Titik fokus (1,2) = (m-p,n)
m-p = 1
3-p = 1
p = 2
Persamaan parabola dengan puncak H(m,n)
F (m, n+p)
A (x, y)
B (x, n-p)
Parabola terbuka ke atas
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