［文字サイズの変更］
▼
▲
©2018 数学クラブ http://sugaku.club/
月 日（ ）
● 次の等式を[ ]内の変数について解きなさい．
[182-00]
(1)
[
w
]
u
=
2
(
v
＋
w
)
(2)
[
a
]
X
=
3
(
a
＋
b
＋
c
)
(3)
[
c
]
a
=
4
(
b
＋
c
)
(4)
3
(
a
＋
b
＋
c
)
[
c
]
X
=
2
(5)
[
z
]
x
=
5
(
5
y
＋
z
)
＋
9
(6)
10
(
y
＋
z
)
[
z
]
S
=
x
(7)
(
y
＋
z
)
r
[
z
]
x
=
7
(8)
6
(
y
＋
z
)
[
z
]
S
=
x
(9)
9
(
v
＋
w
)
[
w
]
A
=
u
(10)
7
(
x
＋
y
＋
z
)
[
z
]
S
=
10
©2018 数学クラブ http://sugaku.club/
月 日（ ）
【解答例】
(1)
[
w
]
u
=
2
(
v
＋
w
)
2
(
v
＋
w
)
=
u
v
＋
w
1
=
u
2
w
1
=
u
−
v
2
(2)
[
a
]
X
=
3
(
a
＋
b
＋
c
)
3
(
a
＋
b
＋
c
)
=
X
a
＋
b
＋
c
1
=
X
3
a
1
=
X
−
b
−
c
3
(3)
[
c
]
a
=
4
(
b
＋
c
)
4
(
b
＋
c
)
=
a
b
＋
c
1
=
a
4
c
1
=
a
−
b
4
(4)
3
(
a
＋
b
＋
c
)
[
c
]
X
=
2
3
(
a
＋
b
＋
c
)
2
=
X
a
＋
b
＋
c
2
=
X
3
c
2
=
X
−
a
−
b
3
(5)
[
z
]
x
=
5
(
5
y
＋
z
)
＋
9
5
(
5
y
＋
z
)
=
x
−
9
5
y
＋
z
x
−
9
=
5
z
1
9
=
x
−
5
y
−
5
5
(6)
10
(
y
＋
z
)
[
z
]
S
=
x
10
(
y
＋
z
)
x
=
S
y
＋
z
x
S
=
10
z
x
S
=
−
y
10
(7)
(
y
＋
z
)
r
[
z
]
x
=
7
(
y
＋
z
)
r
7
=
x
y
＋
z
7
x
=
r
z
7
x
=
−
y
r
(8)
6
(
y
＋
z
)
[
z
]
S
=
x
6
(
y
＋
z
)
x
=
S
y
＋
z
x
S
=
6
z
x
S
=
−
y
6
(9)
9
(
v
＋
w
)
[
w
]
A
=
u
9
(
v
＋
w
)
u
=
A
v
＋
w
u
A
=
9
w
u
A
=
−
v
9
(10)
7
(
x
＋
y
＋
z
)
[
z
]
S
=
10
7
(
x
＋
y
＋
z
)
10
=
S
x
＋
y
＋
z
10
=
S
7
z
10
=
S
−
x
−
y
7