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2021 The Chinese Mathematics Competition
Problem 4
2021 CMC Problem 4
2021 CMC Problem 4
Source: 2021 CMC Problem 4
November 25, 2022
algebra
Problem Statement
Find the equation of cylinder that passes three straight lines
L
1
=
{
x
=
0
y
−
z
=
2
,
L
2
=
{
x
=
0
x
+
y
−
z
+
2
=
0
,
L
3
=
{
x
=
2
y
−
z
=
0
L_1= \begin{cases} x=0\\ y-z=2 \end{cases}, L_2= \begin{cases} x=0\\ x+y-z+2=0 \end{cases}, L_3= \begin{cases} x=\sqrt{2}\\ y-z=0 \end{cases}
L
1
=
{
x
=
0
y
−
z
=
2
,
L
2
=
{
x
=
0
x
+
y
−
z
+
2
=
0
,
L
3
=
{
x
=
2
y
−
z
=
0
.
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