题目:
如图,直线y = mx与双曲线y = k/x相交于A、B两点,点A的坐标为(1, 3)。
(1) 求反比例函数的表达式;
(2) 根据图象直接写出当mx > k/x时,x的取值范围;
(3) 计算线段AB的长。
---重难点手册 九年级数学 下册 RJ
8. 如图,直线 y=mx 与双曲线 y=k/x 相交于 A,B 两点,点 A 的坐标为(1,2).
(1)求比例函数的表达式;
(2)根据图象直接写出当 mx > k/x 时,x 的取值范围;
(3)计算线段 AB 的长.
Chart/Diagram Description:
Type: Coordinate plane with graphs.
Main Elements:
- Coordinate Axes: Horizontal X-axis labeled 'x', vertical Y-axis labeled 'y'. Origin labeled 'O'.
- Graphs: A straight line passing through the origin O, point A, and point B. A hyperbola with two branches in the first and third quadrants.
- Points: Point A is shown in the first quadrant, located on both the straight line and the hyperbola. Point B is shown in the third quadrant, located on both the straight line and the hyperbola.
- Labels: A, B, O, x, y are labeled on the diagram.