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题目内容
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
w < 45



Quantity A

m

Quantity B

n


Which of the following point(s) are inside the shaded region?

Indicate all such points.
Of the following, which graph best represents a shaded region in which every point $$(x, y)$$ satisfies the inequality $$y ≤ |x|$$?
In the xy-plane, triangular region R is bounded by the lines x = 0, y = x, and y=-x+5. Which of the following points lie inside region R ?

Indicate all such points
Which of the following could be a portion of the graph of $$y=(x+2)^{2}-5$$ in the xy-plane?
The graph of y = ($$x^{2}$$+2x+1) + d (d > 0) intercepts with the x-axis at how many points?
If the length and width of a rectangle are 2x+5 and 3x-7, respectively (x≥3), then what is the least possible area of the rectangle?
The function $$f$$ is defined for all numbers $$x$$ by $$f(x)=57x^{2}-kx+925$$, where $$k$$ is a constant, and $$f(x)=f(-x)$$ for all $$x$$.

Quantity A

$$k$$

Quantity B

$$0$$
In the xy-plane, a circle with radius $$4$$ has its center at the point $$(-1, 2)$$ Which of the following is an equation of the circle?
In the xy-plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.


Quantity A

y

Quantity B

110

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