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Mathematics
Mathematics
Problem
- 3 points
O
(
0
,
0
)
,
P
(
a
,
a
2
)
,
Q
(
−
b
,
b
2
)
(
a
>
0
,
b
>
0
)
O(0,0), P(a, a^2), Q(-b, b^2) (a > 0, b > 0)
O
(
0
,
0
)
,
P
(
a
,
a
2
)
,
Q
(
−
b
,
b
2
)
(
a
>
0
,
b
>
0
)
are on the parabola
y
=
x
2
y = x^2
y
=
x
2
. Let
S
1
S_1
S
1
be the area bounded by the line
P
Q
PQ
P
Q
and the parabola and let
S
2
S_2
S
2
be the area of the
△
O
P
Q
\triangle OPQ
△
O
P
Q
, the minimum value of
S
1
/
S
2
S_1/S_2
S
1
/
S
2
is a. 4/3 b. 5/3 c. 2 d. 7/3
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