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题目内容
In the xy-plane, the coordinates of point A is (3, 4), while the coordinates of point B is (x, y). The distance between point A and B is 5. (x≠3)

Quantity A

The slope of line AB

Quantity B

$$\frac{4}{3}$$
In the xy-plane, line m intersects the y-axis above the origin and intersects the x-axis to the right of the origin. The distance between the x- and y-intercepts of line $$m$$ is 5. If the ratio of the distance between the origin and the x-intercept to the distance between the origin and the y-intercept is 4 to 3, which of the following is an equation of line $$m$$?


The shaded triangle in the xy-plane above is bounded by the x-axis and the graphs of y=-x+3 and y=($$\frac{3}{2}$$ )x+3. What is the area of the triangle?
Line l: y=$$\frac{3}{2}$$ x+8

Line k: y=-$$\frac{2}{3}$$ x+b

The x-coordinate of the intersection point of line l and k is 6. What is the x-intercept of line k?

Give your answer as a decimal.
Line l and k are perpendicular and intersects at point (-4, 4). If line k passes through the origin, then what is the x-intercept of line l?
In the xy-plane, line $$l$$ has $$x$$-intercept $$3$$ and $$y$$-intercept $$4$$, and line $$m$$ has $$x$$-intercept $$4$$ and $$y$$-intercept $$3$$.

Quantity A

The slope of line $$l$$

Quantity B

The slope of line $$m$$
In plane P, point Q is on line l.

Quantity A

The number of points in plane P whose distance from line l is 2 and whose distance from point Q is 3

Quantity B

4


Quantity A

The perimeter of quadrilateral RSTW shown in the xy-plane

Quantity B

34

Quantity A

The distance between point (5, 5) and (0, 0)

Quantity B

The distance between point (4, 6) and (0, 0)
In the xy-plane, the points (-2, 3) and (6, -3) lie on a circle, and the line segment connecting the points is a diameter of the circle. What is the area of the circle?
Line segment AB is a diameter of a circle. If the coordinates of point A and point B are (0, 2) and (6, 0), respectively, then what is the area of the circle?
In the rectangular coordinate system, the point (2, 1) is on a circle whose center is (-2, -1). What is the circumference of the circle?
In a rectangular axis, point A (a,3) and point B (b,9) is 8 units apart.

Quantity A

b-a

Quantity B

5
In the xy-plane, A(0, 0), B(4, 3) and C(a, 0) (a>0) are three vertices of a triangle. The area of △ABC is 4.

Quantity A

a

Quantity B

4
In the xy-plane, a triangle has vertices (0, 0), (k, 0) and (k, -4k), where k>0. If the area of the region enclosed by the triangle is 32, what is the value of k?
The coordinates of one of the vertices of a square is (2,2). The side of the square is 4. Which of the following could be coordinates of the vertex opposite to (2, 2)?

Indicate all such points.
In the rectangular coordinate system, the point A(2, 4) is equidistant from the points B(d, k) and C(d, z), where k≠z and points A, B, C lie on the same line.

Quantity A

$$\frac{k+z}{2}$$

Quantity B

4
In the rectangular coordinate system, point (x,y) is equidistant from points (3,3) and (7,3).

Quantity A

y

Quantity B

3


Quantity A

w+d

Quantity B

c+z


In the xy-plane, a circle with point O at the center is tangent to both the x-axis and the y-axis. AB is a diameter of the circle.

Quantity A

m

Quantity B

n

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