pembahasan isometri ..pdf
TRANSCRIPT
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Pembahasan soal ISOMETRI
(rawuh) halaman 41
1. Diketahui garis-garis s, t, u dan titik A, B seperti dapat dilihat pada gambar berikut ini. T
adalah sebuah isometri dengan B = T(A) dan u = T(s). kalau lukislah t = T(t).
Jawab
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2. Diketahui garis = {(, )| + 2 = 1} dan = {(, )| = 1} tulislah sebuah
persamaan garis = ().
Jawab
= {(, )| + 2 = 1} , = {(, )| = 1}, = ().
(
) = (
1 00 1
) () + (
20
)
(
) = (
1 00 1
) () + (
2(1)0
)
(
) = (
) + (
20
)
(
) = (
2
)
= 2
=
Substitusi ke persamaan g
+ 2 = 1
( 2) + 2() = 1
+ 2 = 3
+ 2 = 3
3. Diketahui garis = {(, )|3 + 4 = 0} dan = {(, )| = 2} tulislah sebuah
persamaan garis = ().
Jawab
= {(, )|3 + 4 = 0} = {(, )| = 2} = ().
(
) = (
1 00 1
) () + (
02(2)
)
(
) = (
) + (
04
)
(
) = (
+ 4)
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=
= + 4
Substitusi ke persamaan g
3 + 4 = 0
3 ( + 4) + 4 = 0
3 + 4 + 4 = 0
3 + = 0
3 + = 0
4. Diketahui garis = {(, )| = 0} dan garis = {(, )| = } dan = {(, )| = 2}
tulislah sebuah persamaan garis-garis berikut :
a. ()
b. ()
c. ()
d. ()
Jawab
a. = {(, )| = } , = {(, )| = 0}
(
) = (
1 00 1
) ()
(
) = (
)
=
=
Substitusi ke persamaan h
=
=
=
() = ( = )
b. = {(, )| = 0}, = {(, )| = }
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(
) = (
0 11 0
) ()
(
) = (
)
=
=
Substitusi ke persamaan g
= 0
= 0
= 0
() = ( = 0)
c. = {(, )| = 2}, = {(, )| = 0}
(
) = (
1 00 1
) ()
(
) = (
)
=
=
Substitusi ke persamaan k
= 2
= 2
= 2
= 2
() = ( = 2)
d. = {(, )| = 2}, = {(, )| = }
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(
) = (
0 11 0
) ()
(
) = (
)
=
=
Substitusi ke persamaan k
= 2
= 2
= 2
() = ( = 2)
5. Jika = {(, )| = } dan = {(, )| = 3 2} tentukanlah persamaan garis
().
Jawab
(
) = (
0 11 0
) ()
(
) = (
)
=
=
Substitusi ke persamaan h
= 3 2
= 3 2()
= 3 2
+ 2 3 = 0
+ 2 3 = 0
() = ( + 2 3 = 0
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6. Jika = {(, )| = } dan = {(, )|3 = + 3} selidikilah apakah titik A (-2, -4)
terlrtak pada garis = ().
Jawab
(
) = (
0 11 0
) ()
(
) = (
)
=
=
Substitusi ke persamaan h
3 = + 3
3() = () + 3
3 = + 3
3 = 3
( 3 = 3)
substitusi A (-2, -4) ke h
3 = 3
3(2) + 4 = 3
6 + 4 = 3
2 3
titik A tidak terletak pada garis = ().