9n
And b on the inverse proportional function image to obtain mn.
=
1
The solution is m=3 (negative value discarding) and point B (3, 1/3).
∫AB∑x axis, A( 1/3, 1/3), AB
=
8/3
(2) According to the meaning of the question, the parabolic opening is downward, and let A(a, a), B( 1/a, a), ab.
=
1/a
-
a
=
8/3
∴3a^2
+
8a
-
three
=
0, get one.
=
-3 or a
=
1/3,
When a man
=
At -3, points A(-3, -3) and B(- 1/3, -3).
Vertex on y axis =
On x, ∴ vertex is (-5/3, -5/3).
Let the quadratic function be y
=
k(x+5/3)^2
-
5/3, substitute it into point A to get k=-3/4.
Then the quadratic function is y.
=
-3/4(x+5/3)^2-5/3
Similarly, when a person
=
At-1/3, and the resolution function is y.
=
-3/4(x-5/3)^2+5/3
(3) let A(a, a), B( 1/a, a), and the axis of symmetry of the parabola is x.
=
a/2
+
1/2a
Let the quadratic resolution function be y.
=
9/5(x-2)[x-(a+ 1/a)+2], substitute a to get a.
=
3 or a=6/ 13
The distance from point P to straight line AB is 3 or 6/ 13.